num_jobs
int64 2
20
| num_machines
int64 2
20
| prompt_jobs_first
stringlengths 516
19.9k
| prompt_machines_first
stringlengths 496
17.2k
| output
stringlengths 267
22.1k
|
|---|---|---|---|---|
8 | 2 | Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 38 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 41 mins.
Operation 1 on Machine 0 duration 16 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 19 mins.
Operation 1 on Machine 0 duration 31 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 26 mins.
Operation 1 on Machine 1 duration 36 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 41 mins.
Operation 1 on Machine 0 duration 26 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 27 mins.
Operation 1 on Machine 1 duration 28 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 41 mins.
Operation 1 on Machine 0 duration 2 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 14 mins.
Operation 1 on Machine 0 duration 41 mins.
| Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 3 Operation 0 duration 26 mins.
Job 5 Operation 0 duration 27 mins.
Job 1 Operation 1 duration 16 mins.
Job 2 Operation 1 duration 31 mins.
Job 4 Operation 1 duration 26 mins.
Job 6 Operation 1 duration 2 mins.
Job 7 Operation 1 duration 41 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 41 mins.
Job 2 Operation 0 duration 19 mins.
Job 4 Operation 0 duration 41 mins.
Job 6 Operation 0 duration 41 mins.
Job 7 Operation 0 duration 14 mins.
Job 0 Operation 1 duration 38 mins.
Job 3 Operation 1 duration 36 mins.
Job 5 Operation 1 duration 28 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 10 -> 10
Job 4 Operation 0 on Machine 1 : 0 + 41 -> 41
Job 3 Operation 0 on Machine 0 : 10 + 26 -> 36
Job 4 Operation 1 on Machine 0 : 41 + 26 -> 67
Job 1 Operation 0 on Machine 1 : 41 + 41 -> 82
Job 1 Operation 1 on Machine 0 : 82 + 16 -> 98
Job 3 Operation 1 on Machine 1 : 82 + 36 -> 118
Job 5 Operation 0 on Machine 0 : 98 + 27 -> 125
Job 7 Operation 0 on Machine 1 : 118 + 14 -> 132
Job 7 Operation 1 on Machine 0 : 132 + 41 -> 173
Job 2 Operation 0 on Machine 1 : 132 + 19 -> 151
Job 5 Operation 1 on Machine 1 : 151 + 28 -> 179
Job 2 Operation 1 on Machine 0 : 173 + 31 -> 204
Job 6 Operation 0 on Machine 1 : 179 + 41 -> 220
Job 6 Operation 1 on Machine 0 : 220 + 2 -> 222
Job 0 Operation 1 on Machine 1 : 220 + 38 -> 258
Makespan: 258.0, as it is the maximum end completion time of Operation 1 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 34 mins.
Operation 1 on Machine 1 duration 100 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 29 mins.
Operation 1 on Machine 0 duration 92 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 109 mins.
Operation 1 on Machine 0 duration 73 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 96 mins.
Operation 1 on Machine 1 duration 107 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 139 mins.
Operation 1 on Machine 1 duration 132 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 34 mins.
Job 3 Operation 0 duration 96 mins.
Job 4 Operation 0 duration 139 mins.
Job 1 Operation 1 duration 92 mins.
Job 2 Operation 1 duration 73 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 29 mins.
Job 2 Operation 0 duration 109 mins.
Job 0 Operation 1 duration 100 mins.
Job 3 Operation 1 duration 107 mins.
Job 4 Operation 1 duration 132 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 96 -> 96
Job 1 Operation 0 on Machine 1 : 0 + 29 -> 29
Job 2 Operation 0 on Machine 1 : 29 + 109 -> 138
Job 0 Operation 0 on Machine 0 : 96 + 34 -> 130
Job 4 Operation 0 on Machine 0 : 130 + 139 -> 269
Job 0 Operation 1 on Machine 1 : 138 + 100 -> 238
Job 3 Operation 1 on Machine 1 : 238 + 107 -> 345
Job 1 Operation 1 on Machine 0 : 269 + 92 -> 361
Job 4 Operation 1 on Machine 1 : 345 + 132 -> 477
Job 2 Operation 1 on Machine 0 : 361 + 73 -> 434
Makespan: 477.0, as it is the maximum end completion time of Operation 1 |
8 | 4 | Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 81 mins.
Operation 1 on Machine 1 duration 90 mins.
Operation 2 on Machine 2 duration 60 mins.
Operation 3 on Machine 3 duration 64 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 97 mins.
Operation 1 on Machine 1 duration 84 mins.
Operation 2 on Machine 2 duration 41 mins.
Operation 3 on Machine 3 duration 25 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 90 mins.
Operation 1 on Machine 0 duration 58 mins.
Operation 2 on Machine 3 duration 51 mins.
Operation 3 on Machine 2 duration 73 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 16 mins.
Operation 1 on Machine 0 duration 115 mins.
Operation 2 on Machine 3 duration 94 mins.
Operation 3 on Machine 1 duration 58 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 52 mins.
Operation 1 on Machine 3 duration 120 mins.
Operation 2 on Machine 0 duration 64 mins.
Operation 3 on Machine 1 duration 75 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 73 mins.
Operation 1 on Machine 2 duration 108 mins.
Operation 2 on Machine 1 duration 106 mins.
Operation 3 on Machine 0 duration 26 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 47 mins.
Operation 1 on Machine 0 duration 136 mins.
Operation 2 on Machine 2 duration 93 mins.
Operation 3 on Machine 3 duration 122 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 58 mins.
Operation 1 on Machine 3 duration 73 mins.
Operation 2 on Machine 1 duration 114 mins.
Operation 3 on Machine 2 duration 73 mins.
| Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 81 mins.
Job 1 Operation 0 duration 97 mins.
Job 7 Operation 0 duration 58 mins.
Job 2 Operation 1 duration 58 mins.
Job 3 Operation 1 duration 115 mins.
Job 6 Operation 1 duration 136 mins.
Job 4 Operation 2 duration 64 mins.
Job 5 Operation 3 duration 26 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 90 mins.
Job 6 Operation 0 duration 47 mins.
Job 0 Operation 1 duration 90 mins.
Job 1 Operation 1 duration 84 mins.
Job 5 Operation 2 duration 106 mins.
Job 7 Operation 2 duration 114 mins.
Job 3 Operation 3 duration 58 mins.
Job 4 Operation 3 duration 75 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 16 mins.
Job 4 Operation 0 duration 52 mins.
Job 5 Operation 1 duration 108 mins.
Job 0 Operation 2 duration 60 mins.
Job 1 Operation 2 duration 41 mins.
Job 6 Operation 2 duration 93 mins.
Job 2 Operation 3 duration 73 mins.
Job 7 Operation 3 duration 73 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 73 mins.
Job 4 Operation 1 duration 120 mins.
Job 7 Operation 1 duration 73 mins.
Job 2 Operation 2 duration 51 mins.
Job 3 Operation 2 duration 94 mins.
Job 0 Operation 3 duration 64 mins.
Job 1 Operation 3 duration 25 mins.
Job 6 Operation 3 duration 122 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 58 -> 58
Job 6 Operation 0 on Machine 1 : 0 + 47 -> 47
Job 3 Operation 0 on Machine 2 : 0 + 16 -> 16
Job 5 Operation 0 on Machine 3 : 0 + 73 -> 73
Job 4 Operation 0 on Machine 2 : 16 + 52 -> 68
Job 2 Operation 0 on Machine 1 : 47 + 90 -> 137
Job 6 Operation 1 on Machine 0 : 58 + 136 -> 194
Job 5 Operation 1 on Machine 2 : 73 + 108 -> 181
Job 7 Operation 1 on Machine 3 : 73 + 73 -> 146
Job 7 Operation 2 on Machine 1 : 146 + 114 -> 260
Job 4 Operation 1 on Machine 3 : 146 + 120 -> 266
Job 0 Operation 0 on Machine 0 : 194 + 81 -> 275
Job 6 Operation 2 on Machine 2 : 194 + 93 -> 287
Job 3 Operation 1 on Machine 0 : 275 + 115 -> 390
Job 0 Operation 1 on Machine 1 : 275 + 90 -> 365
Job 7 Operation 3 on Machine 2 : 287 + 73 -> 360
Job 6 Operation 3 on Machine 3 : 287 + 122 -> 409
Job 5 Operation 2 on Machine 1 : 365 + 106 -> 471
Job 0 Operation 2 on Machine 2 : 365 + 60 -> 425
Job 1 Operation 0 on Machine 0 : 390 + 97 -> 487
Job 3 Operation 2 on Machine 3 : 409 + 94 -> 503
Job 2 Operation 1 on Machine 0 : 487 + 58 -> 545
Job 1 Operation 1 on Machine 1 : 487 + 84 -> 571
Job 0 Operation 3 on Machine 3 : 503 + 64 -> 567
Job 4 Operation 2 on Machine 0 : 545 + 64 -> 609
Job 2 Operation 2 on Machine 3 : 567 + 51 -> 618
Job 3 Operation 3 on Machine 1 : 571 + 58 -> 629
Job 1 Operation 2 on Machine 2 : 571 + 41 -> 612
Job 5 Operation 3 on Machine 0 : 609 + 26 -> 635
Job 2 Operation 3 on Machine 2 : 618 + 73 -> 691
Job 1 Operation 3 on Machine 3 : 618 + 25 -> 643
Job 4 Operation 3 on Machine 1 : 629 + 75 -> 704
Makespan: 704.0, as it is the maximum end completion time of Operation 3 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 56 mins.
Operation 1 on Machine 0 duration 42 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 109 mins.
Operation 1 on Machine 1 duration 19 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 42 mins.
Operation 1 on Machine 0 duration 96 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 37 mins.
Operation 1 on Machine 0 duration 90 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 107 mins.
Operation 1 on Machine 0 duration 36 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 109 mins.
Job 0 Operation 1 duration 42 mins.
Job 2 Operation 1 duration 96 mins.
Job 3 Operation 1 duration 90 mins.
Job 4 Operation 1 duration 36 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 56 mins.
Job 2 Operation 0 duration 42 mins.
Job 3 Operation 0 duration 37 mins.
Job 4 Operation 0 duration 107 mins.
Job 1 Operation 1 duration 19 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 109 -> 109
Job 3 Operation 0 on Machine 1 : 0 + 37 -> 37
Job 2 Operation 0 on Machine 1 : 37 + 42 -> 79
Job 0 Operation 0 on Machine 1 : 79 + 56 -> 135
Job 3 Operation 1 on Machine 0 : 109 + 90 -> 199
Job 1 Operation 1 on Machine 1 : 135 + 19 -> 154
Job 4 Operation 0 on Machine 1 : 154 + 107 -> 261
Job 0 Operation 1 on Machine 0 : 199 + 42 -> 241
Job 2 Operation 1 on Machine 0 : 241 + 96 -> 337
Job 4 Operation 1 on Machine 0 : 337 + 36 -> 373
Makespan: 373.0, as it is the maximum end completion time of Operation 1 |
10 | 6 | Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 3 mins.
Operation 1 on Machine 0 duration 97 mins.
Operation 2 on Machine 1 duration 55 mins.
Operation 3 on Machine 5 duration 6 mins.
Operation 4 on Machine 3 duration 98 mins.
Operation 5 on Machine 2 duration 46 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 94 mins.
Operation 1 on Machine 3 duration 78 mins.
Operation 2 on Machine 0 duration 89 mins.
Operation 3 on Machine 5 duration 105 mins.
Operation 4 on Machine 1 duration 9 mins.
Operation 5 on Machine 2 duration 36 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 76 mins.
Operation 1 on Machine 1 duration 60 mins.
Operation 2 on Machine 0 duration 25 mins.
Operation 3 on Machine 3 duration 130 mins.
Operation 4 on Machine 4 duration 9 mins.
Operation 5 on Machine 5 duration 58 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 54 mins.
Operation 1 on Machine 4 duration 55 mins.
Operation 2 on Machine 1 duration 7 mins.
Operation 3 on Machine 2 duration 31 mins.
Operation 4 on Machine 5 duration 50 mins.
Operation 5 on Machine 0 duration 10 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 43 mins.
Operation 1 on Machine 4 duration 91 mins.
Operation 2 on Machine 1 duration 3 mins.
Operation 3 on Machine 3 duration 36 mins.
Operation 4 on Machine 2 duration 24 mins.
Operation 5 on Machine 5 duration 90 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 56 mins.
Operation 1 on Machine 2 duration 41 mins.
Operation 2 on Machine 4 duration 51 mins.
Operation 3 on Machine 5 duration 81 mins.
Operation 4 on Machine 3 duration 94 mins.
Operation 5 on Machine 1 duration 126 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 54 mins.
Operation 1 on Machine 4 duration 120 mins.
Operation 2 on Machine 1 duration 14 mins.
Operation 3 on Machine 2 duration 28 mins.
Operation 4 on Machine 0 duration 42 mins.
Operation 5 on Machine 5 duration 92 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 4 duration 34 mins.
Operation 2 on Machine 2 duration 38 mins.
Operation 3 on Machine 3 duration 130 mins.
Operation 4 on Machine 1 duration 12 mins.
Operation 5 on Machine 5 duration 39 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 114 mins.
Operation 1 on Machine 5 duration 95 mins.
Operation 2 on Machine 1 duration 85 mins.
Operation 3 on Machine 2 duration 75 mins.
Operation 4 on Machine 4 duration 31 mins.
Operation 5 on Machine 0 duration 76 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 24 mins.
Operation 1 on Machine 3 duration 120 mins.
Operation 2 on Machine 0 duration 114 mins.
Operation 3 on Machine 2 duration 117 mins.
Operation 4 on Machine 5 duration 68 mins.
Operation 5 on Machine 4 duration 58 mins.
| Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 43 mins.
Job 5 Operation 0 duration 56 mins.
Job 7 Operation 0 duration 62 mins.
Job 0 Operation 1 duration 97 mins.
Job 1 Operation 2 duration 89 mins.
Job 2 Operation 2 duration 25 mins.
Job 9 Operation 2 duration 114 mins.
Job 6 Operation 4 duration 42 mins.
Job 3 Operation 5 duration 10 mins.
Job 8 Operation 5 duration 76 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 0 duration 24 mins.
Job 2 Operation 1 duration 60 mins.
Job 0 Operation 2 duration 55 mins.
Job 3 Operation 2 duration 7 mins.
Job 4 Operation 2 duration 3 mins.
Job 6 Operation 2 duration 14 mins.
Job 8 Operation 2 duration 85 mins.
Job 1 Operation 4 duration 9 mins.
Job 7 Operation 4 duration 12 mins.
Job 5 Operation 5 duration 126 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 76 mins.
Job 5 Operation 1 duration 41 mins.
Job 7 Operation 2 duration 38 mins.
Job 3 Operation 3 duration 31 mins.
Job 6 Operation 3 duration 28 mins.
Job 8 Operation 3 duration 75 mins.
Job 9 Operation 3 duration 117 mins.
Job 4 Operation 4 duration 24 mins.
Job 0 Operation 5 duration 46 mins.
Job 1 Operation 5 duration 36 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 54 mins.
Job 6 Operation 0 duration 54 mins.
Job 8 Operation 0 duration 114 mins.
Job 1 Operation 1 duration 78 mins.
Job 9 Operation 1 duration 120 mins.
Job 2 Operation 3 duration 130 mins.
Job 4 Operation 3 duration 36 mins.
Job 7 Operation 3 duration 130 mins.
Job 0 Operation 4 duration 98 mins.
Job 5 Operation 4 duration 94 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 3 mins.
Job 1 Operation 0 duration 94 mins.
Job 3 Operation 1 duration 55 mins.
Job 4 Operation 1 duration 91 mins.
Job 6 Operation 1 duration 120 mins.
Job 7 Operation 1 duration 34 mins.
Job 5 Operation 2 duration 51 mins.
Job 2 Operation 4 duration 9 mins.
Job 8 Operation 4 duration 31 mins.
Job 9 Operation 5 duration 58 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 1 duration 95 mins.
Job 0 Operation 3 duration 6 mins.
Job 1 Operation 3 duration 105 mins.
Job 5 Operation 3 duration 81 mins.
Job 3 Operation 4 duration 50 mins.
Job 9 Operation 4 duration 68 mins.
Job 2 Operation 5 duration 58 mins.
Job 4 Operation 5 duration 90 mins.
Job 6 Operation 5 duration 92 mins.
Job 7 Operation 5 duration 39 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 43 -> 43
Job 9 Operation 0 on Machine 1 : 0 + 24 -> 24
Job 2 Operation 0 on Machine 2 : 0 + 76 -> 76
Job 3 Operation 0 on Machine 3 : 0 + 54 -> 54
Job 0 Operation 0 on Machine 4 : 0 + 3 -> 3
Job 5 Operation 0 on Machine 0 : 43 + 56 -> 99
Job 4 Operation 1 on Machine 4 : 43 + 91 -> 134
Job 9 Operation 1 on Machine 3 : 54 + 120 -> 174
Job 7 Operation 0 on Machine 0 : 99 + 62 -> 161
Job 5 Operation 1 on Machine 2 : 99 + 41 -> 140
Job 4 Operation 2 on Machine 1 : 134 + 3 -> 137
Job 2 Operation 1 on Machine 1 : 137 + 60 -> 197
Job 5 Operation 2 on Machine 4 : 140 + 51 -> 191
Job 9 Operation 2 on Machine 0 : 174 + 114 -> 288
Job 8 Operation 0 on Machine 3 : 174 + 114 -> 288
Job 3 Operation 1 on Machine 4 : 191 + 55 -> 246
Job 5 Operation 3 on Machine 5 : 191 + 81 -> 272
Job 3 Operation 2 on Machine 1 : 246 + 7 -> 253
Job 1 Operation 0 on Machine 4 : 246 + 94 -> 340
Job 3 Operation 3 on Machine 2 : 253 + 31 -> 284
Job 2 Operation 2 on Machine 0 : 288 + 25 -> 313
Job 9 Operation 3 on Machine 2 : 288 + 117 -> 405
Job 4 Operation 3 on Machine 3 : 288 + 36 -> 324
Job 8 Operation 1 on Machine 5 : 288 + 95 -> 383
Job 0 Operation 1 on Machine 0 : 313 + 97 -> 410
Job 2 Operation 3 on Machine 3 : 324 + 130 -> 454
Job 7 Operation 1 on Machine 4 : 340 + 34 -> 374
Job 8 Operation 2 on Machine 1 : 383 + 85 -> 468
Job 3 Operation 4 on Machine 5 : 383 + 50 -> 433
Job 4 Operation 4 on Machine 2 : 405 + 24 -> 429
Job 7 Operation 2 on Machine 2 : 429 + 38 -> 467
Job 3 Operation 5 on Machine 0 : 433 + 10 -> 443
Job 1 Operation 1 on Machine 3 : 454 + 78 -> 532
Job 2 Operation 4 on Machine 4 : 454 + 9 -> 463
Job 2 Operation 5 on Machine 5 : 463 + 58 -> 521
Job 0 Operation 2 on Machine 1 : 468 + 55 -> 523
Job 8 Operation 3 on Machine 2 : 468 + 75 -> 543
Job 9 Operation 4 on Machine 5 : 521 + 68 -> 589
Job 1 Operation 2 on Machine 0 : 532 + 89 -> 621
Job 6 Operation 0 on Machine 3 : 532 + 54 -> 586
Job 8 Operation 4 on Machine 4 : 543 + 31 -> 574
Job 5 Operation 4 on Machine 3 : 586 + 94 -> 680
Job 9 Operation 5 on Machine 4 : 589 + 58 -> 647
Job 0 Operation 3 on Machine 5 : 589 + 6 -> 595
Job 8 Operation 5 on Machine 0 : 621 + 76 -> 697
Job 1 Operation 3 on Machine 5 : 621 + 105 -> 726
Job 6 Operation 1 on Machine 4 : 647 + 120 -> 767
Job 7 Operation 3 on Machine 3 : 680 + 130 -> 810
Job 1 Operation 4 on Machine 1 : 726 + 9 -> 735
Job 4 Operation 5 on Machine 5 : 726 + 90 -> 816
Job 1 Operation 5 on Machine 2 : 735 + 36 -> 771
Job 6 Operation 2 on Machine 1 : 767 + 14 -> 781
Job 6 Operation 3 on Machine 2 : 781 + 28 -> 809
Job 6 Operation 4 on Machine 0 : 809 + 42 -> 851
Job 7 Operation 4 on Machine 1 : 810 + 12 -> 822
Job 0 Operation 4 on Machine 3 : 810 + 98 -> 908
Job 5 Operation 5 on Machine 1 : 822 + 126 -> 948
Job 7 Operation 5 on Machine 5 : 822 + 39 -> 861
Job 6 Operation 5 on Machine 5 : 861 + 92 -> 953
Job 0 Operation 5 on Machine 2 : 908 + 46 -> 954
Makespan: 954.0, as it is the maximum end completion time of Operation 5 |
9 | 9 | Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 181 mins.
Operation 1 on Machine 3 duration 175 mins.
Operation 2 on Machine 1 duration 110 mins.
Operation 3 on Machine 0 duration 80 mins.
Operation 4 on Machine 4 duration 123 mins.
Operation 5 on Machine 6 duration 312 mins.
Operation 6 on Machine 8 duration 181 mins.
Operation 7 on Machine 5 duration 198 mins.
Operation 8 on Machine 7 duration 160 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 272 mins.
Operation 1 on Machine 5 duration 36 mins.
Operation 2 on Machine 3 duration 306 mins.
Operation 3 on Machine 7 duration 157 mins.
Operation 4 on Machine 4 duration 313 mins.
Operation 5 on Machine 2 duration 176 mins.
Operation 6 on Machine 8 duration 296 mins.
Operation 7 on Machine 0 duration 139 mins.
Operation 8 on Machine 6 duration 37 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 268 mins.
Operation 1 on Machine 1 duration 245 mins.
Operation 2 on Machine 4 duration 242 mins.
Operation 3 on Machine 7 duration 35 mins.
Operation 4 on Machine 2 duration 13 mins.
Operation 5 on Machine 6 duration 142 mins.
Operation 6 on Machine 8 duration 16 mins.
Operation 7 on Machine 5 duration 157 mins.
Operation 8 on Machine 3 duration 159 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 52 mins.
Operation 1 on Machine 0 duration 87 mins.
Operation 2 on Machine 3 duration 228 mins.
Operation 3 on Machine 6 duration 119 mins.
Operation 4 on Machine 1 duration 289 mins.
Operation 5 on Machine 7 duration 197 mins.
Operation 6 on Machine 2 duration 181 mins.
Operation 7 on Machine 5 duration 30 mins.
Operation 8 on Machine 8 duration 34 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 296 mins.
Operation 1 on Machine 6 duration 163 mins.
Operation 2 on Machine 2 duration 206 mins.
Operation 3 on Machine 5 duration 188 mins.
Operation 4 on Machine 3 duration 131 mins.
Operation 5 on Machine 7 duration 37 mins.
Operation 6 on Machine 0 duration 250 mins.
Operation 7 on Machine 4 duration 61 mins.
Operation 8 on Machine 8 duration 3 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 203 mins.
Operation 1 on Machine 8 duration 33 mins.
Operation 2 on Machine 6 duration 270 mins.
Operation 3 on Machine 4 duration 294 mins.
Operation 4 on Machine 5 duration 160 mins.
Operation 5 on Machine 2 duration 91 mins.
Operation 6 on Machine 0 duration 65 mins.
Operation 7 on Machine 1 duration 283 mins.
Operation 8 on Machine 3 duration 73 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 102 mins.
Operation 1 on Machine 5 duration 279 mins.
Operation 2 on Machine 7 duration 180 mins.
Operation 3 on Machine 6 duration 19 mins.
Operation 4 on Machine 4 duration 272 mins.
Operation 5 on Machine 3 duration 28 mins.
Operation 6 on Machine 1 duration 4 mins.
Operation 7 on Machine 0 duration 222 mins.
Operation 8 on Machine 8 duration 179 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 260 mins.
Operation 1 on Machine 1 duration 120 mins.
Operation 2 on Machine 3 duration 202 mins.
Operation 3 on Machine 5 duration 192 mins.
Operation 4 on Machine 7 duration 114 mins.
Operation 5 on Machine 0 duration 159 mins.
Operation 6 on Machine 2 duration 216 mins.
Operation 7 on Machine 8 duration 234 mins.
Operation 8 on Machine 6 duration 130 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 61 mins.
Operation 1 on Machine 2 duration 245 mins.
Operation 2 on Machine 3 duration 2 mins.
Operation 3 on Machine 8 duration 181 mins.
Operation 4 on Machine 1 duration 225 mins.
Operation 5 on Machine 7 duration 123 mins.
Operation 6 on Machine 0 duration 157 mins.
Operation 7 on Machine 5 duration 183 mins.
Operation 8 on Machine 4 duration 156 mins.
| Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 268 mins.
Job 3 Operation 1 duration 87 mins.
Job 0 Operation 3 duration 80 mins.
Job 7 Operation 5 duration 159 mins.
Job 4 Operation 6 duration 250 mins.
Job 5 Operation 6 duration 65 mins.
Job 8 Operation 6 duration 157 mins.
Job 1 Operation 7 duration 139 mins.
Job 6 Operation 7 duration 222 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 272 mins.
Job 4 Operation 0 duration 296 mins.
Job 2 Operation 1 duration 245 mins.
Job 7 Operation 1 duration 120 mins.
Job 0 Operation 2 duration 110 mins.
Job 3 Operation 4 duration 289 mins.
Job 8 Operation 4 duration 225 mins.
Job 6 Operation 6 duration 4 mins.
Job 5 Operation 7 duration 283 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 181 mins.
Job 6 Operation 0 duration 102 mins.
Job 8 Operation 1 duration 245 mins.
Job 4 Operation 2 duration 206 mins.
Job 2 Operation 4 duration 13 mins.
Job 1 Operation 5 duration 176 mins.
Job 5 Operation 5 duration 91 mins.
Job 3 Operation 6 duration 181 mins.
Job 7 Operation 6 duration 216 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 175 mins.
Job 1 Operation 2 duration 306 mins.
Job 3 Operation 2 duration 228 mins.
Job 7 Operation 2 duration 202 mins.
Job 8 Operation 2 duration 2 mins.
Job 4 Operation 4 duration 131 mins.
Job 6 Operation 5 duration 28 mins.
Job 2 Operation 8 duration 159 mins.
Job 5 Operation 8 duration 73 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 52 mins.
Job 7 Operation 0 duration 260 mins.
Job 2 Operation 2 duration 242 mins.
Job 5 Operation 3 duration 294 mins.
Job 0 Operation 4 duration 123 mins.
Job 1 Operation 4 duration 313 mins.
Job 6 Operation 4 duration 272 mins.
Job 4 Operation 7 duration 61 mins.
Job 8 Operation 8 duration 156 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 1 duration 36 mins.
Job 6 Operation 1 duration 279 mins.
Job 4 Operation 3 duration 188 mins.
Job 7 Operation 3 duration 192 mins.
Job 5 Operation 4 duration 160 mins.
Job 0 Operation 7 duration 198 mins.
Job 2 Operation 7 duration 157 mins.
Job 3 Operation 7 duration 30 mins.
Job 8 Operation 7 duration 183 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 0 duration 61 mins.
Job 4 Operation 1 duration 163 mins.
Job 5 Operation 2 duration 270 mins.
Job 3 Operation 3 duration 119 mins.
Job 6 Operation 3 duration 19 mins.
Job 0 Operation 5 duration 312 mins.
Job 2 Operation 5 duration 142 mins.
Job 1 Operation 8 duration 37 mins.
Job 7 Operation 8 duration 130 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 0 duration 203 mins.
Job 6 Operation 2 duration 180 mins.
Job 1 Operation 3 duration 157 mins.
Job 2 Operation 3 duration 35 mins.
Job 7 Operation 4 duration 114 mins.
Job 3 Operation 5 duration 197 mins.
Job 4 Operation 5 duration 37 mins.
Job 8 Operation 5 duration 123 mins.
Job 0 Operation 8 duration 160 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 1 duration 33 mins.
Job 8 Operation 3 duration 181 mins.
Job 0 Operation 6 duration 181 mins.
Job 1 Operation 6 duration 296 mins.
Job 2 Operation 6 duration 16 mins.
Job 7 Operation 7 duration 234 mins.
Job 3 Operation 8 duration 34 mins.
Job 4 Operation 8 duration 3 mins.
Job 6 Operation 8 duration 179 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 268 -> 268
Job 1 Operation 0 on Machine 1 : 0 + 272 -> 272
Job 0 Operation 0 on Machine 2 : 0 + 181 -> 181
Job 7 Operation 0 on Machine 4 : 0 + 260 -> 260
Job 8 Operation 0 on Machine 6 : 0 + 61 -> 61
Job 5 Operation 0 on Machine 7 : 0 + 203 -> 203
Job 8 Operation 1 on Machine 2 : 181 + 245 -> 426
Job 0 Operation 1 on Machine 3 : 181 + 175 -> 356
Job 5 Operation 1 on Machine 8 : 203 + 33 -> 236
Job 5 Operation 2 on Machine 6 : 236 + 270 -> 506
Job 3 Operation 0 on Machine 4 : 260 + 52 -> 312
Job 7 Operation 1 on Machine 1 : 272 + 120 -> 392
Job 1 Operation 1 on Machine 5 : 272 + 36 -> 308
Job 3 Operation 1 on Machine 0 : 312 + 87 -> 399
Job 0 Operation 2 on Machine 1 : 392 + 110 -> 502
Job 6 Operation 0 on Machine 2 : 426 + 102 -> 528
Job 8 Operation 2 on Machine 3 : 426 + 2 -> 428
Job 1 Operation 2 on Machine 3 : 428 + 306 -> 734
Job 8 Operation 3 on Machine 8 : 428 + 181 -> 609
Job 0 Operation 3 on Machine 0 : 502 + 80 -> 582
Job 4 Operation 0 on Machine 1 : 502 + 296 -> 798
Job 5 Operation 3 on Machine 4 : 506 + 294 -> 800
Job 6 Operation 1 on Machine 5 : 528 + 279 -> 807
Job 7 Operation 2 on Machine 3 : 734 + 202 -> 936
Job 1 Operation 3 on Machine 7 : 734 + 157 -> 891
Job 8 Operation 4 on Machine 1 : 798 + 225 -> 1023
Job 4 Operation 1 on Machine 6 : 798 + 163 -> 961
Job 0 Operation 4 on Machine 4 : 800 + 123 -> 923
Job 5 Operation 4 on Machine 5 : 807 + 160 -> 967
Job 1 Operation 4 on Machine 4 : 923 + 313 -> 1236
Job 3 Operation 2 on Machine 3 : 936 + 228 -> 1164
Job 4 Operation 2 on Machine 2 : 961 + 206 -> 1167
Job 0 Operation 5 on Machine 6 : 961 + 312 -> 1273
Job 7 Operation 3 on Machine 5 : 967 + 192 -> 1159
Job 2 Operation 1 on Machine 1 : 1023 + 245 -> 1268
Job 8 Operation 5 on Machine 7 : 1023 + 123 -> 1146
Job 8 Operation 6 on Machine 0 : 1146 + 157 -> 1303
Job 7 Operation 4 on Machine 7 : 1159 + 114 -> 1273
Job 5 Operation 5 on Machine 2 : 1167 + 91 -> 1258
Job 4 Operation 3 on Machine 5 : 1167 + 188 -> 1355
Job 1 Operation 5 on Machine 2 : 1258 + 176 -> 1434
Job 2 Operation 2 on Machine 4 : 1268 + 242 -> 1510
Job 3 Operation 3 on Machine 6 : 1273 + 119 -> 1392
Job 6 Operation 2 on Machine 7 : 1273 + 180 -> 1453
Job 0 Operation 6 on Machine 8 : 1273 + 181 -> 1454
Job 7 Operation 5 on Machine 0 : 1303 + 159 -> 1462
Job 4 Operation 4 on Machine 3 : 1355 + 131 -> 1486
Job 3 Operation 4 on Machine 1 : 1392 + 289 -> 1681
Job 6 Operation 3 on Machine 6 : 1453 + 19 -> 1472
Job 0 Operation 7 on Machine 5 : 1454 + 198 -> 1652
Job 1 Operation 6 on Machine 8 : 1454 + 296 -> 1750
Job 5 Operation 6 on Machine 0 : 1462 + 65 -> 1527
Job 4 Operation 5 on Machine 7 : 1486 + 37 -> 1523
Job 6 Operation 4 on Machine 4 : 1510 + 272 -> 1782
Job 2 Operation 3 on Machine 7 : 1523 + 35 -> 1558
Job 4 Operation 6 on Machine 0 : 1527 + 250 -> 1777
Job 2 Operation 4 on Machine 2 : 1558 + 13 -> 1571
Job 7 Operation 6 on Machine 2 : 1571 + 216 -> 1787
Job 2 Operation 5 on Machine 6 : 1571 + 142 -> 1713
Job 8 Operation 7 on Machine 5 : 1652 + 183 -> 1835
Job 3 Operation 5 on Machine 7 : 1681 + 197 -> 1878
Job 2 Operation 6 on Machine 8 : 1750 + 16 -> 1766
Job 6 Operation 5 on Machine 3 : 1782 + 28 -> 1810
Job 4 Operation 7 on Machine 4 : 1782 + 61 -> 1843
Job 7 Operation 7 on Machine 8 : 1787 + 234 -> 2021
Job 6 Operation 6 on Machine 1 : 1810 + 4 -> 1814
Job 6 Operation 7 on Machine 0 : 1814 + 222 -> 2036
Job 5 Operation 7 on Machine 1 : 1814 + 283 -> 2097
Job 2 Operation 7 on Machine 5 : 1835 + 157 -> 1992
Job 8 Operation 8 on Machine 4 : 1843 + 156 -> 1999
Job 3 Operation 6 on Machine 2 : 1878 + 181 -> 2059
Job 0 Operation 8 on Machine 7 : 1878 + 160 -> 2038
Job 2 Operation 8 on Machine 3 : 1992 + 159 -> 2151
Job 7 Operation 8 on Machine 6 : 2021 + 130 -> 2151
Job 4 Operation 8 on Machine 8 : 2021 + 3 -> 2024
Job 1 Operation 7 on Machine 0 : 2036 + 139 -> 2175
Job 6 Operation 8 on Machine 8 : 2036 + 179 -> 2215
Job 3 Operation 7 on Machine 5 : 2059 + 30 -> 2089
Job 5 Operation 8 on Machine 3 : 2151 + 73 -> 2224
Job 1 Operation 8 on Machine 6 : 2175 + 37 -> 2212
Job 3 Operation 8 on Machine 8 : 2215 + 34 -> 2249
Makespan: 2249.0, as it is the maximum end completion time of Operation 8 |
9 | 2 | Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 267 mins.
Operation 1 on Machine 1 duration 404 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 255 mins.
Operation 1 on Machine 0 duration 426 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 341 mins.
Operation 1 on Machine 1 duration 253 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 24 mins.
Operation 1 on Machine 1 duration 416 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 412 mins.
Operation 1 on Machine 1 duration 106 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 367 mins.
Operation 1 on Machine 0 duration 147 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 199 mins.
Operation 1 on Machine 0 duration 53 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 194 mins.
Operation 1 on Machine 1 duration 20 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 365 mins.
Operation 1 on Machine 0 duration 200 mins.
| Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 267 mins.
Job 2 Operation 0 duration 341 mins.
Job 3 Operation 0 duration 24 mins.
Job 4 Operation 0 duration 412 mins.
Job 7 Operation 0 duration 194 mins.
Job 1 Operation 1 duration 426 mins.
Job 5 Operation 1 duration 147 mins.
Job 6 Operation 1 duration 53 mins.
Job 8 Operation 1 duration 200 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 255 mins.
Job 5 Operation 0 duration 367 mins.
Job 6 Operation 0 duration 199 mins.
Job 8 Operation 0 duration 365 mins.
Job 0 Operation 1 duration 404 mins.
Job 2 Operation 1 duration 253 mins.
Job 3 Operation 1 duration 416 mins.
Job 4 Operation 1 duration 106 mins.
Job 7 Operation 1 duration 20 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 24 -> 24
Job 6 Operation 0 on Machine 1 : 0 + 199 -> 199
Job 7 Operation 0 on Machine 0 : 24 + 194 -> 218
Job 1 Operation 0 on Machine 1 : 199 + 255 -> 454
Job 6 Operation 1 on Machine 0 : 218 + 53 -> 271
Job 0 Operation 0 on Machine 0 : 271 + 267 -> 538
Job 7 Operation 1 on Machine 1 : 454 + 20 -> 474
Job 8 Operation 0 on Machine 1 : 474 + 365 -> 839
Job 2 Operation 0 on Machine 0 : 538 + 341 -> 879
Job 5 Operation 0 on Machine 1 : 839 + 367 -> 1206
Job 8 Operation 1 on Machine 0 : 879 + 200 -> 1079
Job 4 Operation 0 on Machine 0 : 1079 + 412 -> 1491
Job 2 Operation 1 on Machine 1 : 1206 + 253 -> 1459
Job 0 Operation 1 on Machine 1 : 1459 + 404 -> 1863
Job 5 Operation 1 on Machine 0 : 1491 + 147 -> 1638
Job 1 Operation 1 on Machine 0 : 1638 + 426 -> 2064
Job 4 Operation 1 on Machine 1 : 1863 + 106 -> 1969
Job 3 Operation 1 on Machine 1 : 1969 + 416 -> 2385
Makespan: 2385.0, as it is the maximum end completion time of Operation 1 |
9 | 9 | Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 83 mins.
Operation 1 on Machine 3 duration 50 mins.
Operation 2 on Machine 2 duration 116 mins.
Operation 3 on Machine 1 duration 82 mins.
Operation 4 on Machine 4 duration 17 mins.
Operation 5 on Machine 0 duration 110 mins.
Operation 6 on Machine 8 duration 119 mins.
Operation 7 on Machine 6 duration 5 mins.
Operation 8 on Machine 7 duration 114 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 69 mins.
Operation 1 on Machine 3 duration 29 mins.
Operation 2 on Machine 5 duration 127 mins.
Operation 3 on Machine 1 duration 47 mins.
Operation 4 on Machine 2 duration 61 mins.
Operation 5 on Machine 0 duration 46 mins.
Operation 6 on Machine 4 duration 122 mins.
Operation 7 on Machine 7 duration 76 mins.
Operation 8 on Machine 8 duration 79 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 107 mins.
Operation 1 on Machine 5 duration 74 mins.
Operation 2 on Machine 2 duration 73 mins.
Operation 3 on Machine 6 duration 107 mins.
Operation 4 on Machine 4 duration 51 mins.
Operation 5 on Machine 3 duration 100 mins.
Operation 6 on Machine 8 duration 85 mins.
Operation 7 on Machine 1 duration 119 mins.
Operation 8 on Machine 0 duration 68 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 2 duration 42 mins.
Operation 2 on Machine 7 duration 52 mins.
Operation 3 on Machine 6 duration 7 mins.
Operation 4 on Machine 4 duration 11 mins.
Operation 5 on Machine 0 duration 63 mins.
Operation 6 on Machine 5 duration 45 mins.
Operation 7 on Machine 8 duration 22 mins.
Operation 8 on Machine 3 duration 32 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 90 mins.
Operation 1 on Machine 4 duration 107 mins.
Operation 2 on Machine 1 duration 44 mins.
Operation 3 on Machine 3 duration 119 mins.
Operation 4 on Machine 2 duration 43 mins.
Operation 5 on Machine 6 duration 36 mins.
Operation 6 on Machine 8 duration 90 mins.
Operation 7 on Machine 5 duration 61 mins.
Operation 8 on Machine 0 duration 75 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 20 mins.
Operation 1 on Machine 4 duration 6 mins.
Operation 2 on Machine 7 duration 84 mins.
Operation 3 on Machine 8 duration 104 mins.
Operation 4 on Machine 2 duration 98 mins.
Operation 5 on Machine 5 duration 91 mins.
Operation 6 on Machine 6 duration 125 mins.
Operation 7 on Machine 3 duration 74 mins.
Operation 8 on Machine 0 duration 38 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 116 mins.
Operation 1 on Machine 1 duration 24 mins.
Operation 2 on Machine 8 duration 62 mins.
Operation 3 on Machine 2 duration 115 mins.
Operation 4 on Machine 0 duration 69 mins.
Operation 5 on Machine 6 duration 44 mins.
Operation 6 on Machine 3 duration 124 mins.
Operation 7 on Machine 5 duration 105 mins.
Operation 8 on Machine 7 duration 46 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 32 mins.
Operation 1 on Machine 1 duration 99 mins.
Operation 2 on Machine 4 duration 110 mins.
Operation 3 on Machine 6 duration 99 mins.
Operation 4 on Machine 3 duration 60 mins.
Operation 5 on Machine 2 duration 40 mins.
Operation 6 on Machine 8 duration 42 mins.
Operation 7 on Machine 7 duration 106 mins.
Operation 8 on Machine 0 duration 105 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 7 duration 113 mins.
Operation 1 on Machine 8 duration 112 mins.
Operation 2 on Machine 1 duration 14 mins.
Operation 3 on Machine 2 duration 57 mins.
Operation 4 on Machine 3 duration 15 mins.
Operation 5 on Machine 6 duration 71 mins.
Operation 6 on Machine 0 duration 130 mins.
Operation 7 on Machine 5 duration 68 mins.
Operation 8 on Machine 4 duration 37 mins.
| Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 4 duration 69 mins.
Job 0 Operation 5 duration 110 mins.
Job 1 Operation 5 duration 46 mins.
Job 3 Operation 5 duration 63 mins.
Job 8 Operation 6 duration 130 mins.
Job 2 Operation 8 duration 68 mins.
Job 4 Operation 8 duration 75 mins.
Job 5 Operation 8 duration 38 mins.
Job 7 Operation 8 duration 105 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 18 mins.
Job 5 Operation 0 duration 20 mins.
Job 6 Operation 1 duration 24 mins.
Job 7 Operation 1 duration 99 mins.
Job 4 Operation 2 duration 44 mins.
Job 8 Operation 2 duration 14 mins.
Job 0 Operation 3 duration 82 mins.
Job 1 Operation 3 duration 47 mins.
Job 2 Operation 7 duration 119 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 42 mins.
Job 0 Operation 2 duration 116 mins.
Job 2 Operation 2 duration 73 mins.
Job 6 Operation 3 duration 115 mins.
Job 8 Operation 3 duration 57 mins.
Job 1 Operation 4 duration 61 mins.
Job 4 Operation 4 duration 43 mins.
Job 5 Operation 4 duration 98 mins.
Job 7 Operation 5 duration 40 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 50 mins.
Job 1 Operation 1 duration 29 mins.
Job 4 Operation 3 duration 119 mins.
Job 7 Operation 4 duration 60 mins.
Job 8 Operation 4 duration 15 mins.
Job 2 Operation 5 duration 100 mins.
Job 6 Operation 6 duration 124 mins.
Job 5 Operation 7 duration 74 mins.
Job 3 Operation 8 duration 32 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 116 mins.
Job 4 Operation 1 duration 107 mins.
Job 5 Operation 1 duration 6 mins.
Job 7 Operation 2 duration 110 mins.
Job 0 Operation 4 duration 17 mins.
Job 2 Operation 4 duration 51 mins.
Job 3 Operation 4 duration 11 mins.
Job 1 Operation 6 duration 122 mins.
Job 8 Operation 8 duration 37 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 83 mins.
Job 7 Operation 0 duration 32 mins.
Job 2 Operation 1 duration 74 mins.
Job 1 Operation 2 duration 127 mins.
Job 5 Operation 5 duration 91 mins.
Job 3 Operation 6 duration 45 mins.
Job 4 Operation 7 duration 61 mins.
Job 6 Operation 7 duration 105 mins.
Job 8 Operation 7 duration 68 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 69 mins.
Job 2 Operation 3 duration 107 mins.
Job 3 Operation 3 duration 7 mins.
Job 7 Operation 3 duration 99 mins.
Job 4 Operation 5 duration 36 mins.
Job 6 Operation 5 duration 44 mins.
Job 8 Operation 5 duration 71 mins.
Job 5 Operation 6 duration 125 mins.
Job 0 Operation 7 duration 5 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 107 mins.
Job 4 Operation 0 duration 90 mins.
Job 8 Operation 0 duration 113 mins.
Job 3 Operation 2 duration 52 mins.
Job 5 Operation 2 duration 84 mins.
Job 1 Operation 7 duration 76 mins.
Job 7 Operation 7 duration 106 mins.
Job 0 Operation 8 duration 114 mins.
Job 6 Operation 8 duration 46 mins.
Machine 8 is used for the following Operations:
Job 8 Operation 1 duration 112 mins.
Job 6 Operation 2 duration 62 mins.
Job 5 Operation 3 duration 104 mins.
Job 0 Operation 6 duration 119 mins.
Job 2 Operation 6 duration 85 mins.
Job 4 Operation 6 duration 90 mins.
Job 7 Operation 6 duration 42 mins.
Job 3 Operation 7 duration 22 mins.
Job 1 Operation 8 duration 79 mins.
| Solution:
Job 3 Operation 0 on Machine 1 : 0 + 18 -> 18
Job 6 Operation 0 on Machine 4 : 0 + 116 -> 116
Job 0 Operation 0 on Machine 5 : 0 + 83 -> 83
Job 1 Operation 0 on Machine 6 : 0 + 69 -> 69
Job 2 Operation 0 on Machine 7 : 0 + 107 -> 107
Job 5 Operation 0 on Machine 1 : 18 + 20 -> 38
Job 3 Operation 1 on Machine 2 : 18 + 42 -> 60
Job 0 Operation 1 on Machine 3 : 83 + 50 -> 133
Job 7 Operation 0 on Machine 5 : 83 + 32 -> 115
Job 8 Operation 0 on Machine 7 : 107 + 113 -> 220
Job 7 Operation 1 on Machine 1 : 115 + 99 -> 214
Job 2 Operation 1 on Machine 5 : 115 + 74 -> 189
Job 5 Operation 1 on Machine 4 : 116 + 6 -> 122
Job 0 Operation 2 on Machine 2 : 133 + 116 -> 249
Job 1 Operation 1 on Machine 3 : 133 + 29 -> 162
Job 1 Operation 2 on Machine 5 : 189 + 127 -> 316
Job 6 Operation 1 on Machine 1 : 214 + 24 -> 238
Job 7 Operation 2 on Machine 4 : 214 + 110 -> 324
Job 4 Operation 0 on Machine 7 : 220 + 90 -> 310
Job 6 Operation 2 on Machine 8 : 238 + 62 -> 300
Job 0 Operation 3 on Machine 1 : 249 + 82 -> 331
Job 2 Operation 2 on Machine 2 : 249 + 73 -> 322
Job 8 Operation 1 on Machine 8 : 300 + 112 -> 412
Job 5 Operation 2 on Machine 7 : 310 + 84 -> 394
Job 6 Operation 3 on Machine 2 : 322 + 115 -> 437
Job 7 Operation 3 on Machine 6 : 324 + 99 -> 423
Job 0 Operation 4 on Machine 4 : 331 + 17 -> 348
Job 0 Operation 5 on Machine 0 : 348 + 110 -> 458
Job 4 Operation 1 on Machine 4 : 348 + 107 -> 455
Job 3 Operation 2 on Machine 7 : 394 + 52 -> 446
Job 8 Operation 2 on Machine 1 : 412 + 14 -> 426
Job 5 Operation 3 on Machine 8 : 412 + 104 -> 516
Job 7 Operation 4 on Machine 3 : 423 + 60 -> 483
Job 2 Operation 3 on Machine 6 : 423 + 107 -> 530
Job 8 Operation 3 on Machine 2 : 437 + 57 -> 494
Job 4 Operation 2 on Machine 1 : 455 + 44 -> 499
Job 6 Operation 4 on Machine 0 : 458 + 69 -> 527
Job 7 Operation 5 on Machine 2 : 494 + 40 -> 534
Job 8 Operation 4 on Machine 3 : 494 + 15 -> 509
Job 1 Operation 3 on Machine 1 : 499 + 47 -> 546
Job 4 Operation 3 on Machine 3 : 509 + 119 -> 628
Job 0 Operation 6 on Machine 8 : 516 + 119 -> 635
Job 3 Operation 3 on Machine 6 : 530 + 7 -> 537
Job 5 Operation 4 on Machine 2 : 534 + 98 -> 632
Job 3 Operation 4 on Machine 4 : 537 + 11 -> 548
Job 8 Operation 5 on Machine 6 : 537 + 71 -> 608
Job 3 Operation 5 on Machine 0 : 548 + 63 -> 611
Job 2 Operation 4 on Machine 4 : 548 + 51 -> 599
Job 6 Operation 5 on Machine 6 : 608 + 44 -> 652
Job 8 Operation 6 on Machine 0 : 611 + 130 -> 741
Job 2 Operation 5 on Machine 3 : 628 + 100 -> 728
Job 4 Operation 4 on Machine 2 : 632 + 43 -> 675
Job 5 Operation 5 on Machine 5 : 632 + 91 -> 723
Job 7 Operation 6 on Machine 8 : 635 + 42 -> 677
Job 1 Operation 4 on Machine 2 : 675 + 61 -> 736
Job 4 Operation 5 on Machine 6 : 675 + 36 -> 711
Job 7 Operation 7 on Machine 7 : 677 + 106 -> 783
Job 0 Operation 7 on Machine 6 : 711 + 5 -> 716
Job 4 Operation 6 on Machine 8 : 711 + 90 -> 801
Job 3 Operation 6 on Machine 5 : 723 + 45 -> 768
Job 5 Operation 6 on Machine 6 : 723 + 125 -> 848
Job 6 Operation 6 on Machine 3 : 728 + 124 -> 852
Job 1 Operation 5 on Machine 0 : 741 + 46 -> 787
Job 0 Operation 8 on Machine 7 : 783 + 114 -> 897
Job 7 Operation 8 on Machine 0 : 787 + 105 -> 892
Job 1 Operation 6 on Machine 4 : 787 + 122 -> 909
Job 4 Operation 7 on Machine 5 : 801 + 61 -> 862
Job 2 Operation 6 on Machine 8 : 801 + 85 -> 886
Job 5 Operation 7 on Machine 3 : 852 + 74 -> 926
Job 6 Operation 7 on Machine 5 : 862 + 105 -> 967
Job 2 Operation 7 on Machine 1 : 886 + 119 -> 1005
Job 3 Operation 7 on Machine 8 : 886 + 22 -> 908
Job 4 Operation 8 on Machine 0 : 892 + 75 -> 967
Job 1 Operation 7 on Machine 7 : 909 + 76 -> 985
Job 3 Operation 8 on Machine 3 : 926 + 32 -> 958
Job 5 Operation 8 on Machine 0 : 967 + 38 -> 1005
Job 8 Operation 7 on Machine 5 : 967 + 68 -> 1035
Job 6 Operation 8 on Machine 7 : 985 + 46 -> 1031
Job 1 Operation 8 on Machine 8 : 985 + 79 -> 1064
Job 2 Operation 8 on Machine 0 : 1005 + 68 -> 1073
Job 8 Operation 8 on Machine 4 : 1035 + 37 -> 1072
Makespan: 1073.0, as it is the maximum end completion time of Operation 8 |
10 | 3 | Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 2 duration 54 mins.
Operation 2 on Machine 1 duration 108 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 52 mins.
Operation 1 on Machine 2 duration 28 mins.
Operation 2 on Machine 0 duration 103 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 86 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 2 duration 68 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 48 mins.
Operation 1 on Machine 2 duration 17 mins.
Operation 2 on Machine 0 duration 93 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 79 mins.
Operation 1 on Machine 0 duration 7 mins.
Operation 2 on Machine 2 duration 106 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 98 mins.
Operation 1 on Machine 0 duration 108 mins.
Operation 2 on Machine 2 duration 68 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 2 duration 111 mins.
Operation 2 on Machine 1 duration 5 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 9 mins.
Operation 1 on Machine 2 duration 81 mins.
Operation 2 on Machine 0 duration 3 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 25 mins.
Operation 1 on Machine 1 duration 90 mins.
Operation 2 on Machine 2 duration 47 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 23 mins.
Operation 1 on Machine 0 duration 42 mins.
Operation 2 on Machine 2 duration 86 mins.
| Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 4 mins.
Job 6 Operation 0 duration 4 mins.
Job 8 Operation 0 duration 25 mins.
Job 2 Operation 1 duration 13 mins.
Job 4 Operation 1 duration 7 mins.
Job 5 Operation 1 duration 108 mins.
Job 9 Operation 1 duration 42 mins.
Job 1 Operation 2 duration 103 mins.
Job 3 Operation 2 duration 93 mins.
Job 7 Operation 2 duration 3 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 52 mins.
Job 2 Operation 0 duration 86 mins.
Job 3 Operation 0 duration 48 mins.
Job 4 Operation 0 duration 79 mins.
Job 5 Operation 0 duration 98 mins.
Job 7 Operation 0 duration 9 mins.
Job 9 Operation 0 duration 23 mins.
Job 8 Operation 1 duration 90 mins.
Job 0 Operation 2 duration 108 mins.
Job 6 Operation 2 duration 5 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 54 mins.
Job 1 Operation 1 duration 28 mins.
Job 3 Operation 1 duration 17 mins.
Job 6 Operation 1 duration 111 mins.
Job 7 Operation 1 duration 81 mins.
Job 2 Operation 2 duration 68 mins.
Job 4 Operation 2 duration 106 mins.
Job 5 Operation 2 duration 68 mins.
Job 8 Operation 2 duration 47 mins.
Job 9 Operation 2 duration 86 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 4 -> 4
Job 7 Operation 0 on Machine 1 : 0 + 9 -> 9
Job 6 Operation 0 on Machine 0 : 4 + 4 -> 8
Job 0 Operation 1 on Machine 2 : 4 + 54 -> 58
Job 8 Operation 0 on Machine 0 : 8 + 25 -> 33
Job 9 Operation 0 on Machine 1 : 9 + 23 -> 32
Job 3 Operation 0 on Machine 1 : 32 + 48 -> 80
Job 9 Operation 1 on Machine 0 : 33 + 42 -> 75
Job 7 Operation 1 on Machine 2 : 58 + 81 -> 139
Job 1 Operation 0 on Machine 1 : 80 + 52 -> 132
Job 4 Operation 0 on Machine 1 : 132 + 79 -> 211
Job 7 Operation 2 on Machine 0 : 139 + 3 -> 142
Job 3 Operation 1 on Machine 2 : 139 + 17 -> 156
Job 3 Operation 2 on Machine 0 : 156 + 93 -> 249
Job 1 Operation 1 on Machine 2 : 156 + 28 -> 184
Job 9 Operation 2 on Machine 2 : 184 + 86 -> 270
Job 2 Operation 0 on Machine 1 : 211 + 86 -> 297
Job 4 Operation 1 on Machine 0 : 249 + 7 -> 256
Job 1 Operation 2 on Machine 0 : 256 + 103 -> 359
Job 4 Operation 2 on Machine 2 : 270 + 106 -> 376
Job 8 Operation 1 on Machine 1 : 297 + 90 -> 387
Job 2 Operation 1 on Machine 0 : 359 + 13 -> 372
Job 2 Operation 2 on Machine 2 : 376 + 68 -> 444
Job 5 Operation 0 on Machine 1 : 387 + 98 -> 485
Job 8 Operation 2 on Machine 2 : 444 + 47 -> 491
Job 5 Operation 1 on Machine 0 : 485 + 108 -> 593
Job 0 Operation 2 on Machine 1 : 485 + 108 -> 593
Job 6 Operation 1 on Machine 2 : 491 + 111 -> 602
Job 6 Operation 2 on Machine 1 : 602 + 5 -> 607
Job 5 Operation 2 on Machine 2 : 602 + 68 -> 670
Makespan: 670.0, as it is the maximum end completion time of Operation 2 |
8 | 3 | Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 313 mins.
Operation 1 on Machine 1 duration 248 mins.
Operation 2 on Machine 2 duration 251 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 110 mins.
Operation 1 on Machine 0 duration 19 mins.
Operation 2 on Machine 2 duration 114 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 299 mins.
Operation 1 on Machine 0 duration 207 mins.
Operation 2 on Machine 1 duration 102 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 18 mins.
Operation 1 on Machine 1 duration 197 mins.
Operation 2 on Machine 0 duration 120 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 137 mins.
Operation 1 on Machine 1 duration 40 mins.
Operation 2 on Machine 2 duration 188 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 325 mins.
Operation 1 on Machine 1 duration 118 mins.
Operation 2 on Machine 0 duration 48 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 32 mins.
Operation 1 on Machine 0 duration 61 mins.
Operation 2 on Machine 1 duration 180 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 248 mins.
Operation 1 on Machine 2 duration 289 mins.
Operation 2 on Machine 1 duration 183 mins.
| Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 313 mins.
Job 4 Operation 0 duration 137 mins.
Job 7 Operation 0 duration 248 mins.
Job 1 Operation 1 duration 19 mins.
Job 2 Operation 1 duration 207 mins.
Job 6 Operation 1 duration 61 mins.
Job 3 Operation 2 duration 120 mins.
Job 5 Operation 2 duration 48 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 110 mins.
Job 0 Operation 1 duration 248 mins.
Job 3 Operation 1 duration 197 mins.
Job 4 Operation 1 duration 40 mins.
Job 5 Operation 1 duration 118 mins.
Job 2 Operation 2 duration 102 mins.
Job 6 Operation 2 duration 180 mins.
Job 7 Operation 2 duration 183 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 299 mins.
Job 3 Operation 0 duration 18 mins.
Job 5 Operation 0 duration 325 mins.
Job 6 Operation 0 duration 32 mins.
Job 7 Operation 1 duration 289 mins.
Job 0 Operation 2 duration 251 mins.
Job 1 Operation 2 duration 114 mins.
Job 4 Operation 2 duration 188 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 248 -> 248
Job 3 Operation 0 on Machine 2 : 0 + 18 -> 18
Job 3 Operation 1 on Machine 1 : 18 + 197 -> 215
Job 5 Operation 0 on Machine 2 : 18 + 325 -> 343
Job 1 Operation 0 on Machine 1 : 215 + 110 -> 325
Job 3 Operation 2 on Machine 0 : 248 + 120 -> 368
Job 5 Operation 1 on Machine 1 : 343 + 118 -> 461
Job 7 Operation 1 on Machine 2 : 343 + 289 -> 632
Job 1 Operation 1 on Machine 0 : 368 + 19 -> 387
Job 5 Operation 2 on Machine 0 : 461 + 48 -> 509
Job 0 Operation 0 on Machine 0 : 509 + 313 -> 822
Job 7 Operation 2 on Machine 1 : 632 + 183 -> 815
Job 6 Operation 0 on Machine 2 : 632 + 32 -> 664
Job 1 Operation 2 on Machine 2 : 664 + 114 -> 778
Job 2 Operation 0 on Machine 2 : 778 + 299 -> 1077
Job 6 Operation 1 on Machine 0 : 822 + 61 -> 883
Job 0 Operation 1 on Machine 1 : 822 + 248 -> 1070
Job 4 Operation 0 on Machine 0 : 883 + 137 -> 1020
Job 4 Operation 1 on Machine 1 : 1070 + 40 -> 1110
Job 2 Operation 1 on Machine 0 : 1077 + 207 -> 1284
Job 0 Operation 2 on Machine 2 : 1077 + 251 -> 1328
Job 6 Operation 2 on Machine 1 : 1110 + 180 -> 1290
Job 2 Operation 2 on Machine 1 : 1290 + 102 -> 1392
Job 4 Operation 2 on Machine 2 : 1328 + 188 -> 1516
Makespan: 1516.0, as it is the maximum end completion time of Operation 2 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 84 mins.
Operation 1 on Machine 1 duration 336 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 230 mins.
Operation 1 on Machine 1 duration 229 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 167 mins.
Operation 1 on Machine 0 duration 21 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 322 mins.
Operation 1 on Machine 1 duration 336 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 83 mins.
Operation 1 on Machine 0 duration 33 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 220 mins.
Operation 1 on Machine 1 duration 55 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 241 mins.
Operation 1 on Machine 0 duration 100 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 84 mins.
Job 1 Operation 0 duration 230 mins.
Job 3 Operation 0 duration 322 mins.
Job 5 Operation 0 duration 220 mins.
Job 2 Operation 1 duration 21 mins.
Job 4 Operation 1 duration 33 mins.
Job 6 Operation 1 duration 100 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 167 mins.
Job 4 Operation 0 duration 83 mins.
Job 6 Operation 0 duration 241 mins.
Job 0 Operation 1 duration 336 mins.
Job 1 Operation 1 duration 229 mins.
Job 3 Operation 1 duration 336 mins.
Job 5 Operation 1 duration 55 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 84 -> 84
Job 4 Operation 0 on Machine 1 : 0 + 83 -> 83
Job 2 Operation 0 on Machine 1 : 83 + 167 -> 250
Job 4 Operation 1 on Machine 0 : 84 + 33 -> 117
Job 5 Operation 0 on Machine 0 : 117 + 220 -> 337
Job 6 Operation 0 on Machine 1 : 250 + 241 -> 491
Job 2 Operation 1 on Machine 0 : 337 + 21 -> 358
Job 1 Operation 0 on Machine 0 : 358 + 230 -> 588
Job 5 Operation 1 on Machine 1 : 491 + 55 -> 546
Job 0 Operation 1 on Machine 1 : 546 + 336 -> 882
Job 6 Operation 1 on Machine 0 : 588 + 100 -> 688
Job 3 Operation 0 on Machine 0 : 688 + 322 -> 1010
Job 1 Operation 1 on Machine 1 : 882 + 229 -> 1111
Job 3 Operation 1 on Machine 1 : 1111 + 336 -> 1447
Makespan: 1447.0, as it is the maximum end completion time of Operation 1 |
10 | 5 | Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 114 mins.
Operation 1 on Machine 1 duration 67 mins.
Operation 2 on Machine 3 duration 22 mins.
Operation 3 on Machine 4 duration 98 mins.
Operation 4 on Machine 0 duration 64 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 110 mins.
Operation 1 on Machine 0 duration 5 mins.
Operation 2 on Machine 4 duration 129 mins.
Operation 3 on Machine 2 duration 132 mins.
Operation 4 on Machine 3 duration 15 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 108 mins.
Operation 1 on Machine 2 duration 24 mins.
Operation 2 on Machine 4 duration 79 mins.
Operation 3 on Machine 1 duration 79 mins.
Operation 4 on Machine 0 duration 96 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 108 mins.
Operation 1 on Machine 1 duration 96 mins.
Operation 2 on Machine 0 duration 136 mins.
Operation 3 on Machine 3 duration 57 mins.
Operation 4 on Machine 4 duration 37 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 98 mins.
Operation 1 on Machine 0 duration 35 mins.
Operation 2 on Machine 3 duration 51 mins.
Operation 3 on Machine 4 duration 67 mins.
Operation 4 on Machine 1 duration 81 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 84 mins.
Operation 1 on Machine 2 duration 51 mins.
Operation 2 on Machine 1 duration 117 mins.
Operation 3 on Machine 0 duration 66 mins.
Operation 4 on Machine 3 duration 71 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 76 mins.
Operation 1 on Machine 0 duration 107 mins.
Operation 2 on Machine 4 duration 4 mins.
Operation 3 on Machine 3 duration 54 mins.
Operation 4 on Machine 1 duration 17 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 10 mins.
Operation 1 on Machine 2 duration 9 mins.
Operation 2 on Machine 0 duration 107 mins.
Operation 3 on Machine 3 duration 46 mins.
Operation 4 on Machine 1 duration 3 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 37 mins.
Operation 1 on Machine 1 duration 84 mins.
Operation 2 on Machine 0 duration 79 mins.
Operation 3 on Machine 4 duration 1 mins.
Operation 4 on Machine 3 duration 52 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 35 mins.
Operation 1 on Machine 0 duration 22 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 4 duration 83 mins.
Operation 4 on Machine 1 duration 73 mins.
| Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 5 mins.
Job 4 Operation 1 duration 35 mins.
Job 6 Operation 1 duration 107 mins.
Job 9 Operation 1 duration 22 mins.
Job 3 Operation 2 duration 136 mins.
Job 7 Operation 2 duration 107 mins.
Job 8 Operation 2 duration 79 mins.
Job 5 Operation 3 duration 66 mins.
Job 0 Operation 4 duration 64 mins.
Job 2 Operation 4 duration 96 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 110 mins.
Job 0 Operation 1 duration 67 mins.
Job 3 Operation 1 duration 96 mins.
Job 8 Operation 1 duration 84 mins.
Job 5 Operation 2 duration 117 mins.
Job 2 Operation 3 duration 79 mins.
Job 4 Operation 4 duration 81 mins.
Job 6 Operation 4 duration 17 mins.
Job 7 Operation 4 duration 3 mins.
Job 9 Operation 4 duration 73 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 114 mins.
Job 3 Operation 0 duration 108 mins.
Job 4 Operation 0 duration 98 mins.
Job 6 Operation 0 duration 76 mins.
Job 8 Operation 0 duration 37 mins.
Job 9 Operation 0 duration 35 mins.
Job 2 Operation 1 duration 24 mins.
Job 5 Operation 1 duration 51 mins.
Job 7 Operation 1 duration 9 mins.
Job 1 Operation 3 duration 132 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 108 mins.
Job 0 Operation 2 duration 22 mins.
Job 4 Operation 2 duration 51 mins.
Job 9 Operation 2 duration 8 mins.
Job 3 Operation 3 duration 57 mins.
Job 6 Operation 3 duration 54 mins.
Job 7 Operation 3 duration 46 mins.
Job 1 Operation 4 duration 15 mins.
Job 5 Operation 4 duration 71 mins.
Job 8 Operation 4 duration 52 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 84 mins.
Job 7 Operation 0 duration 10 mins.
Job 1 Operation 2 duration 129 mins.
Job 2 Operation 2 duration 79 mins.
Job 6 Operation 2 duration 4 mins.
Job 0 Operation 3 duration 98 mins.
Job 4 Operation 3 duration 67 mins.
Job 8 Operation 3 duration 1 mins.
Job 9 Operation 3 duration 83 mins.
Job 3 Operation 4 duration 37 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 110 -> 110
Job 9 Operation 0 on Machine 2 : 0 + 35 -> 35
Job 2 Operation 0 on Machine 3 : 0 + 108 -> 108
Job 7 Operation 0 on Machine 4 : 0 + 10 -> 10
Job 5 Operation 0 on Machine 4 : 10 + 84 -> 94
Job 9 Operation 1 on Machine 0 : 35 + 22 -> 57
Job 7 Operation 1 on Machine 2 : 35 + 9 -> 44
Job 8 Operation 0 on Machine 2 : 44 + 37 -> 81
Job 7 Operation 2 on Machine 0 : 57 + 107 -> 164
Job 6 Operation 0 on Machine 2 : 81 + 76 -> 157
Job 9 Operation 2 on Machine 3 : 108 + 8 -> 116
Job 8 Operation 1 on Machine 1 : 110 + 84 -> 194
Job 5 Operation 1 on Machine 2 : 157 + 51 -> 208
Job 1 Operation 1 on Machine 0 : 164 + 5 -> 169
Job 7 Operation 3 on Machine 3 : 164 + 46 -> 210
Job 6 Operation 1 on Machine 0 : 169 + 107 -> 276
Job 1 Operation 2 on Machine 4 : 169 + 129 -> 298
Job 5 Operation 2 on Machine 1 : 208 + 117 -> 325
Job 3 Operation 0 on Machine 2 : 208 + 108 -> 316
Job 8 Operation 2 on Machine 0 : 276 + 79 -> 355
Job 6 Operation 2 on Machine 4 : 298 + 4 -> 302
Job 6 Operation 3 on Machine 3 : 302 + 54 -> 356
Job 9 Operation 3 on Machine 4 : 302 + 83 -> 385
Job 0 Operation 0 on Machine 2 : 316 + 114 -> 430
Job 3 Operation 1 on Machine 1 : 325 + 96 -> 421
Job 5 Operation 3 on Machine 0 : 355 + 66 -> 421
Job 3 Operation 2 on Machine 0 : 421 + 136 -> 557
Job 7 Operation 4 on Machine 1 : 421 + 3 -> 424
Job 5 Operation 4 on Machine 3 : 421 + 71 -> 492
Job 0 Operation 1 on Machine 1 : 430 + 67 -> 497
Job 2 Operation 1 on Machine 2 : 430 + 24 -> 454
Job 4 Operation 0 on Machine 2 : 454 + 98 -> 552
Job 2 Operation 2 on Machine 4 : 454 + 79 -> 533
Job 6 Operation 4 on Machine 1 : 497 + 17 -> 514
Job 0 Operation 2 on Machine 3 : 497 + 22 -> 519
Job 2 Operation 3 on Machine 1 : 533 + 79 -> 612
Job 0 Operation 3 on Machine 4 : 533 + 98 -> 631
Job 1 Operation 3 on Machine 2 : 552 + 132 -> 684
Job 4 Operation 1 on Machine 0 : 557 + 35 -> 592
Job 4 Operation 2 on Machine 3 : 592 + 51 -> 643
Job 2 Operation 4 on Machine 0 : 612 + 96 -> 708
Job 9 Operation 4 on Machine 1 : 612 + 73 -> 685
Job 8 Operation 3 on Machine 4 : 631 + 1 -> 632
Job 3 Operation 3 on Machine 3 : 643 + 57 -> 700
Job 4 Operation 3 on Machine 4 : 643 + 67 -> 710
Job 1 Operation 4 on Machine 3 : 700 + 15 -> 715
Job 0 Operation 4 on Machine 0 : 708 + 64 -> 772
Job 4 Operation 4 on Machine 1 : 710 + 81 -> 791
Job 3 Operation 4 on Machine 4 : 710 + 37 -> 747
Job 8 Operation 4 on Machine 3 : 715 + 52 -> 767
Makespan: 791.0, as it is the maximum end completion time of Operation 4 |
6 | 5 | Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 179 mins.
Operation 1 on Machine 4 duration 324 mins.
Operation 2 on Machine 1 duration 254 mins.
Operation 3 on Machine 3 duration 98 mins.
Operation 4 on Machine 2 duration 97 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 126 mins.
Operation 1 on Machine 3 duration 212 mins.
Operation 2 on Machine 0 duration 136 mins.
Operation 3 on Machine 1 duration 268 mins.
Operation 4 on Machine 4 duration 234 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 350 mins.
Operation 1 on Machine 2 duration 131 mins.
Operation 2 on Machine 4 duration 59 mins.
Operation 3 on Machine 1 duration 237 mins.
Operation 4 on Machine 3 duration 246 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 156 mins.
Operation 1 on Machine 4 duration 271 mins.
Operation 2 on Machine 1 duration 167 mins.
Operation 3 on Machine 3 duration 153 mins.
Operation 4 on Machine 2 duration 145 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 80 mins.
Operation 1 on Machine 4 duration 54 mins.
Operation 2 on Machine 3 duration 18 mins.
Operation 3 on Machine 1 duration 194 mins.
Operation 4 on Machine 0 duration 156 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 255 mins.
Operation 1 on Machine 1 duration 35 mins.
Operation 2 on Machine 0 duration 106 mins.
Operation 3 on Machine 4 duration 129 mins.
Operation 4 on Machine 2 duration 338 mins.
| Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 179 mins.
Job 2 Operation 0 duration 350 mins.
Job 3 Operation 0 duration 156 mins.
Job 1 Operation 2 duration 136 mins.
Job 5 Operation 2 duration 106 mins.
Job 4 Operation 4 duration 156 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 1 duration 35 mins.
Job 0 Operation 2 duration 254 mins.
Job 3 Operation 2 duration 167 mins.
Job 1 Operation 3 duration 268 mins.
Job 2 Operation 3 duration 237 mins.
Job 4 Operation 3 duration 194 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 126 mins.
Job 4 Operation 0 duration 80 mins.
Job 2 Operation 1 duration 131 mins.
Job 0 Operation 4 duration 97 mins.
Job 3 Operation 4 duration 145 mins.
Job 5 Operation 4 duration 338 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 255 mins.
Job 1 Operation 1 duration 212 mins.
Job 4 Operation 2 duration 18 mins.
Job 0 Operation 3 duration 98 mins.
Job 3 Operation 3 duration 153 mins.
Job 2 Operation 4 duration 246 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 324 mins.
Job 3 Operation 1 duration 271 mins.
Job 4 Operation 1 duration 54 mins.
Job 2 Operation 2 duration 59 mins.
Job 5 Operation 3 duration 129 mins.
Job 1 Operation 4 duration 234 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 156 -> 156
Job 4 Operation 0 on Machine 2 : 0 + 80 -> 80
Job 1 Operation 0 on Machine 2 : 80 + 126 -> 206
Job 4 Operation 1 on Machine 4 : 80 + 54 -> 134
Job 4 Operation 2 on Machine 3 : 134 + 18 -> 152
Job 4 Operation 3 on Machine 1 : 152 + 194 -> 346
Job 5 Operation 0 on Machine 3 : 152 + 255 -> 407
Job 2 Operation 0 on Machine 0 : 156 + 350 -> 506
Job 3 Operation 1 on Machine 4 : 156 + 271 -> 427
Job 1 Operation 1 on Machine 3 : 407 + 212 -> 619
Job 3 Operation 2 on Machine 1 : 427 + 167 -> 594
Job 0 Operation 0 on Machine 0 : 506 + 179 -> 685
Job 2 Operation 1 on Machine 2 : 506 + 131 -> 637
Job 5 Operation 1 on Machine 1 : 594 + 35 -> 629
Job 3 Operation 3 on Machine 3 : 619 + 153 -> 772
Job 2 Operation 2 on Machine 4 : 637 + 59 -> 696
Job 1 Operation 2 on Machine 0 : 685 + 136 -> 821
Job 2 Operation 3 on Machine 1 : 696 + 237 -> 933
Job 0 Operation 1 on Machine 4 : 696 + 324 -> 1020
Job 3 Operation 4 on Machine 2 : 772 + 145 -> 917
Job 4 Operation 4 on Machine 0 : 821 + 156 -> 977
Job 1 Operation 3 on Machine 1 : 933 + 268 -> 1201
Job 2 Operation 4 on Machine 3 : 933 + 246 -> 1179
Job 5 Operation 2 on Machine 0 : 977 + 106 -> 1083
Job 5 Operation 3 on Machine 4 : 1083 + 129 -> 1212
Job 0 Operation 2 on Machine 1 : 1201 + 254 -> 1455
Job 5 Operation 4 on Machine 2 : 1212 + 338 -> 1550
Job 1 Operation 4 on Machine 4 : 1212 + 234 -> 1446
Job 0 Operation 3 on Machine 3 : 1455 + 98 -> 1553
Job 0 Operation 4 on Machine 2 : 1553 + 97 -> 1650
Makespan: 1650.0, as it is the maximum end completion time of Operation 4 |
3 | 2 | Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 31 mins.
Operation 1 on Machine 1 duration 458 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 253 mins.
Operation 1 on Machine 1 duration 379 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 264 mins.
Operation 1 on Machine 0 duration 75 mins.
| Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 31 mins.
Job 1 Operation 0 duration 253 mins.
Job 2 Operation 1 duration 75 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 264 mins.
Job 0 Operation 1 duration 458 mins.
Job 1 Operation 1 duration 379 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 31 -> 31
Job 2 Operation 0 on Machine 1 : 0 + 264 -> 264
Job 1 Operation 0 on Machine 0 : 31 + 253 -> 284
Job 0 Operation 1 on Machine 1 : 264 + 458 -> 722
Job 2 Operation 1 on Machine 0 : 284 + 75 -> 359
Job 1 Operation 1 on Machine 1 : 722 + 379 -> 1101
Makespan: 1101.0, as it is the maximum end completion time of Operation 1 |
7 | 7 | Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 20 mins.
Operation 1 on Machine 0 duration 28 mins.
Operation 2 on Machine 2 duration 74 mins.
Operation 3 on Machine 3 duration 31 mins.
Operation 4 on Machine 5 duration 26 mins.
Operation 5 on Machine 4 duration 86 mins.
Operation 6 on Machine 6 duration 33 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 19 mins.
Operation 1 on Machine 3 duration 72 mins.
Operation 2 on Machine 5 duration 61 mins.
Operation 3 on Machine 6 duration 24 mins.
Operation 4 on Machine 0 duration 2 mins.
Operation 5 on Machine 4 duration 35 mins.
Operation 6 on Machine 2 duration 50 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 2 mins.
Operation 1 on Machine 4 duration 50 mins.
Operation 2 on Machine 3 duration 49 mins.
Operation 3 on Machine 2 duration 2 mins.
Operation 4 on Machine 0 duration 49 mins.
Operation 5 on Machine 1 duration 56 mins.
Operation 6 on Machine 5 duration 82 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 40 mins.
Operation 1 on Machine 1 duration 50 mins.
Operation 2 on Machine 6 duration 77 mins.
Operation 3 on Machine 2 duration 6 mins.
Operation 4 on Machine 3 duration 53 mins.
Operation 5 on Machine 4 duration 81 mins.
Operation 6 on Machine 5 duration 87 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 50 mins.
Operation 1 on Machine 2 duration 52 mins.
Operation 2 on Machine 5 duration 68 mins.
Operation 3 on Machine 1 duration 78 mins.
Operation 4 on Machine 0 duration 57 mins.
Operation 5 on Machine 6 duration 20 mins.
Operation 6 on Machine 3 duration 65 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 70 mins.
Operation 1 on Machine 0 duration 46 mins.
Operation 2 on Machine 6 duration 21 mins.
Operation 3 on Machine 5 duration 88 mins.
Operation 4 on Machine 2 duration 60 mins.
Operation 5 on Machine 4 duration 23 mins.
Operation 6 on Machine 1 duration 91 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 10 mins.
Operation 1 on Machine 1 duration 50 mins.
Operation 2 on Machine 3 duration 16 mins.
Operation 3 on Machine 6 duration 1 mins.
Operation 4 on Machine 0 duration 89 mins.
Operation 5 on Machine 2 duration 52 mins.
Operation 6 on Machine 4 duration 41 mins.
| Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 40 mins.
Job 0 Operation 1 duration 28 mins.
Job 5 Operation 1 duration 46 mins.
Job 1 Operation 4 duration 2 mins.
Job 2 Operation 4 duration 49 mins.
Job 4 Operation 4 duration 57 mins.
Job 6 Operation 4 duration 89 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 20 mins.
Job 1 Operation 0 duration 19 mins.
Job 3 Operation 1 duration 50 mins.
Job 6 Operation 1 duration 50 mins.
Job 4 Operation 3 duration 78 mins.
Job 2 Operation 5 duration 56 mins.
Job 5 Operation 6 duration 91 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 1 duration 52 mins.
Job 0 Operation 2 duration 74 mins.
Job 2 Operation 3 duration 2 mins.
Job 3 Operation 3 duration 6 mins.
Job 5 Operation 4 duration 60 mins.
Job 6 Operation 5 duration 52 mins.
Job 1 Operation 6 duration 50 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 70 mins.
Job 1 Operation 1 duration 72 mins.
Job 2 Operation 2 duration 49 mins.
Job 6 Operation 2 duration 16 mins.
Job 0 Operation 3 duration 31 mins.
Job 3 Operation 4 duration 53 mins.
Job 4 Operation 6 duration 65 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 50 mins.
Job 2 Operation 1 duration 50 mins.
Job 0 Operation 5 duration 86 mins.
Job 1 Operation 5 duration 35 mins.
Job 3 Operation 5 duration 81 mins.
Job 5 Operation 5 duration 23 mins.
Job 6 Operation 6 duration 41 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 10 mins.
Job 1 Operation 2 duration 61 mins.
Job 4 Operation 2 duration 68 mins.
Job 5 Operation 3 duration 88 mins.
Job 0 Operation 4 duration 26 mins.
Job 2 Operation 6 duration 82 mins.
Job 3 Operation 6 duration 87 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 2 mins.
Job 3 Operation 2 duration 77 mins.
Job 5 Operation 2 duration 21 mins.
Job 1 Operation 3 duration 24 mins.
Job 6 Operation 3 duration 1 mins.
Job 4 Operation 5 duration 20 mins.
Job 0 Operation 6 duration 33 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 40 -> 40
Job 1 Operation 0 on Machine 1 : 0 + 19 -> 19
Job 5 Operation 0 on Machine 3 : 0 + 70 -> 70
Job 4 Operation 0 on Machine 4 : 0 + 50 -> 50
Job 6 Operation 0 on Machine 5 : 0 + 10 -> 10
Job 2 Operation 0 on Machine 6 : 0 + 2 -> 2
Job 0 Operation 0 on Machine 1 : 19 + 20 -> 39
Job 0 Operation 1 on Machine 0 : 40 + 28 -> 68
Job 3 Operation 1 on Machine 1 : 40 + 50 -> 90
Job 4 Operation 1 on Machine 2 : 50 + 52 -> 102
Job 2 Operation 1 on Machine 4 : 50 + 50 -> 100
Job 5 Operation 1 on Machine 0 : 70 + 46 -> 116
Job 1 Operation 1 on Machine 3 : 70 + 72 -> 142
Job 6 Operation 1 on Machine 1 : 90 + 50 -> 140
Job 3 Operation 2 on Machine 6 : 90 + 77 -> 167
Job 4 Operation 2 on Machine 5 : 102 + 68 -> 170
Job 6 Operation 2 on Machine 3 : 142 + 16 -> 158
Job 3 Operation 3 on Machine 2 : 167 + 6 -> 173
Job 6 Operation 3 on Machine 6 : 167 + 1 -> 168
Job 6 Operation 4 on Machine 0 : 168 + 89 -> 257
Job 5 Operation 2 on Machine 6 : 168 + 21 -> 189
Job 4 Operation 3 on Machine 1 : 170 + 78 -> 248
Job 1 Operation 2 on Machine 5 : 170 + 61 -> 231
Job 0 Operation 2 on Machine 2 : 173 + 74 -> 247
Job 3 Operation 4 on Machine 3 : 173 + 53 -> 226
Job 2 Operation 2 on Machine 3 : 226 + 49 -> 275
Job 3 Operation 5 on Machine 4 : 226 + 81 -> 307
Job 5 Operation 3 on Machine 5 : 231 + 88 -> 319
Job 1 Operation 3 on Machine 6 : 231 + 24 -> 255
Job 1 Operation 4 on Machine 0 : 257 + 2 -> 259
Job 6 Operation 5 on Machine 2 : 257 + 52 -> 309
Job 0 Operation 3 on Machine 3 : 275 + 31 -> 306
Job 1 Operation 5 on Machine 4 : 307 + 35 -> 342
Job 2 Operation 3 on Machine 2 : 309 + 2 -> 311
Job 2 Operation 4 on Machine 0 : 311 + 49 -> 360
Job 5 Operation 4 on Machine 2 : 319 + 60 -> 379
Job 0 Operation 4 on Machine 5 : 319 + 26 -> 345
Job 6 Operation 6 on Machine 4 : 342 + 41 -> 383
Job 3 Operation 6 on Machine 5 : 345 + 87 -> 432
Job 4 Operation 4 on Machine 0 : 360 + 57 -> 417
Job 2 Operation 5 on Machine 1 : 360 + 56 -> 416
Job 1 Operation 6 on Machine 2 : 379 + 50 -> 429
Job 5 Operation 5 on Machine 4 : 383 + 23 -> 406
Job 0 Operation 5 on Machine 4 : 406 + 86 -> 492
Job 5 Operation 6 on Machine 1 : 416 + 91 -> 507
Job 4 Operation 5 on Machine 6 : 417 + 20 -> 437
Job 2 Operation 6 on Machine 5 : 432 + 82 -> 514
Job 4 Operation 6 on Machine 3 : 437 + 65 -> 502
Job 0 Operation 6 on Machine 6 : 492 + 33 -> 525
Makespan: 525.0, as it is the maximum end completion time of Operation 6 |
6 | 2 | Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 0 duration 1 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 1 mins.
Operation 1 on Machine 0 duration 4 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 1 mins.
Operation 1 on Machine 0 duration 4 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 0 duration 4 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 3 mins.
Operation 1 on Machine 1 duration 3 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 1 duration 4 mins.
| Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 3 mins.
Job 5 Operation 0 duration 4 mins.
Job 0 Operation 1 duration 1 mins.
Job 1 Operation 1 duration 4 mins.
Job 2 Operation 1 duration 4 mins.
Job 3 Operation 1 duration 4 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 3 mins.
Job 1 Operation 0 duration 1 mins.
Job 2 Operation 0 duration 1 mins.
Job 3 Operation 0 duration 2 mins.
Job 4 Operation 1 duration 3 mins.
Job 5 Operation 1 duration 4 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 3 -> 3
Job 1 Operation 0 on Machine 1 : 0 + 1 -> 1
Job 3 Operation 0 on Machine 1 : 1 + 2 -> 3
Job 3 Operation 1 on Machine 0 : 3 + 4 -> 7
Job 4 Operation 1 on Machine 1 : 3 + 3 -> 6
Job 2 Operation 0 on Machine 1 : 6 + 1 -> 7
Job 2 Operation 1 on Machine 0 : 7 + 4 -> 11
Job 0 Operation 0 on Machine 1 : 7 + 3 -> 10
Job 0 Operation 1 on Machine 0 : 11 + 1 -> 12
Job 5 Operation 0 on Machine 0 : 12 + 4 -> 16
Job 1 Operation 1 on Machine 0 : 16 + 4 -> 20
Job 5 Operation 1 on Machine 1 : 16 + 4 -> 20
Makespan: 20.0, as it is the maximum end completion time of Operation 1 |
8 | 5 | Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 83 mins.
Operation 1 on Machine 4 duration 16 mins.
Operation 2 on Machine 1 duration 63 mins.
Operation 3 on Machine 2 duration 87 mins.
Operation 4 on Machine 0 duration 27 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 2 mins.
Operation 1 on Machine 2 duration 48 mins.
Operation 2 on Machine 3 duration 64 mins.
Operation 3 on Machine 4 duration 96 mins.
Operation 4 on Machine 1 duration 21 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 93 mins.
Operation 1 on Machine 1 duration 77 mins.
Operation 2 on Machine 4 duration 105 mins.
Operation 3 on Machine 2 duration 44 mins.
Operation 4 on Machine 0 duration 12 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 78 mins.
Operation 1 on Machine 3 duration 2 mins.
Operation 2 on Machine 1 duration 75 mins.
Operation 3 on Machine 2 duration 41 mins.
Operation 4 on Machine 0 duration 44 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 42 mins.
Operation 1 on Machine 1 duration 18 mins.
Operation 2 on Machine 2 duration 28 mins.
Operation 3 on Machine 0 duration 36 mins.
Operation 4 on Machine 4 duration 99 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 79 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 2 duration 60 mins.
Operation 3 on Machine 3 duration 102 mins.
Operation 4 on Machine 1 duration 3 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 83 mins.
Operation 1 on Machine 0 duration 103 mins.
Operation 2 on Machine 3 duration 66 mins.
Operation 3 on Machine 2 duration 15 mins.
Operation 4 on Machine 1 duration 94 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 22 mins.
Operation 1 on Machine 4 duration 46 mins.
Operation 2 on Machine 1 duration 97 mins.
Operation 3 on Machine 2 duration 41 mins.
Operation 4 on Machine 3 duration 89 mins.
| Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 2 mins.
Job 7 Operation 0 duration 22 mins.
Job 5 Operation 1 duration 8 mins.
Job 6 Operation 1 duration 103 mins.
Job 4 Operation 3 duration 36 mins.
Job 0 Operation 4 duration 27 mins.
Job 2 Operation 4 duration 12 mins.
Job 3 Operation 4 duration 44 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 77 mins.
Job 4 Operation 1 duration 18 mins.
Job 0 Operation 2 duration 63 mins.
Job 3 Operation 2 duration 75 mins.
Job 7 Operation 2 duration 97 mins.
Job 1 Operation 4 duration 21 mins.
Job 5 Operation 4 duration 3 mins.
Job 6 Operation 4 duration 94 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 48 mins.
Job 4 Operation 2 duration 28 mins.
Job 5 Operation 2 duration 60 mins.
Job 0 Operation 3 duration 87 mins.
Job 2 Operation 3 duration 44 mins.
Job 3 Operation 3 duration 41 mins.
Job 6 Operation 3 duration 15 mins.
Job 7 Operation 3 duration 41 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 83 mins.
Job 2 Operation 0 duration 93 mins.
Job 4 Operation 0 duration 42 mins.
Job 3 Operation 1 duration 2 mins.
Job 1 Operation 2 duration 64 mins.
Job 6 Operation 2 duration 66 mins.
Job 5 Operation 3 duration 102 mins.
Job 7 Operation 4 duration 89 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 78 mins.
Job 5 Operation 0 duration 79 mins.
Job 6 Operation 0 duration 83 mins.
Job 0 Operation 1 duration 16 mins.
Job 7 Operation 1 duration 46 mins.
Job 2 Operation 2 duration 105 mins.
Job 1 Operation 3 duration 96 mins.
Job 4 Operation 4 duration 99 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 2 -> 2
Job 2 Operation 0 on Machine 3 : 0 + 93 -> 93
Job 6 Operation 0 on Machine 4 : 0 + 83 -> 83
Job 7 Operation 0 on Machine 0 : 2 + 22 -> 24
Job 1 Operation 1 on Machine 2 : 2 + 48 -> 50
Job 6 Operation 1 on Machine 0 : 83 + 103 -> 186
Job 7 Operation 1 on Machine 4 : 83 + 46 -> 129
Job 2 Operation 1 on Machine 1 : 93 + 77 -> 170
Job 0 Operation 0 on Machine 3 : 93 + 83 -> 176
Job 5 Operation 0 on Machine 4 : 129 + 79 -> 208
Job 7 Operation 2 on Machine 1 : 170 + 97 -> 267
Job 6 Operation 2 on Machine 3 : 186 + 66 -> 252
Job 5 Operation 1 on Machine 0 : 208 + 8 -> 216
Job 0 Operation 1 on Machine 4 : 208 + 16 -> 224
Job 3 Operation 0 on Machine 4 : 224 + 78 -> 302
Job 6 Operation 3 on Machine 2 : 252 + 15 -> 267
Job 4 Operation 0 on Machine 3 : 252 + 42 -> 294
Job 0 Operation 2 on Machine 1 : 267 + 63 -> 330
Job 7 Operation 3 on Machine 2 : 267 + 41 -> 308
Job 3 Operation 1 on Machine 3 : 302 + 2 -> 304
Job 2 Operation 2 on Machine 4 : 302 + 105 -> 407
Job 1 Operation 2 on Machine 3 : 304 + 64 -> 368
Job 5 Operation 2 on Machine 2 : 308 + 60 -> 368
Job 4 Operation 1 on Machine 1 : 330 + 18 -> 348
Job 3 Operation 2 on Machine 1 : 348 + 75 -> 423
Job 4 Operation 2 on Machine 2 : 368 + 28 -> 396
Job 5 Operation 3 on Machine 3 : 368 + 102 -> 470
Job 4 Operation 3 on Machine 0 : 396 + 36 -> 432
Job 0 Operation 3 on Machine 2 : 396 + 87 -> 483
Job 1 Operation 3 on Machine 4 : 407 + 96 -> 503
Job 6 Operation 4 on Machine 1 : 423 + 94 -> 517
Job 7 Operation 4 on Machine 3 : 470 + 89 -> 559
Job 0 Operation 4 on Machine 0 : 483 + 27 -> 510
Job 3 Operation 3 on Machine 2 : 483 + 41 -> 524
Job 4 Operation 4 on Machine 4 : 503 + 99 -> 602
Job 5 Operation 4 on Machine 1 : 517 + 3 -> 520
Job 1 Operation 4 on Machine 1 : 520 + 21 -> 541
Job 3 Operation 4 on Machine 0 : 524 + 44 -> 568
Job 2 Operation 3 on Machine 2 : 524 + 44 -> 568
Job 2 Operation 4 on Machine 0 : 568 + 12 -> 580
Makespan: 602.0, as it is the maximum end completion time of Operation 4 |
7 | 4 | Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 12 mins.
Operation 1 on Machine 0 duration 6 mins.
Operation 2 on Machine 2 duration 8 mins.
Operation 3 on Machine 1 duration 2 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 1 duration 1 mins.
Operation 2 on Machine 3 duration 6 mins.
Operation 3 on Machine 0 duration 13 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 6 mins.
Operation 1 on Machine 1 duration 8 mins.
Operation 2 on Machine 0 duration 9 mins.
Operation 3 on Machine 2 duration 7 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 6 mins.
Operation 1 on Machine 3 duration 11 mins.
Operation 2 on Machine 1 duration 10 mins.
Operation 3 on Machine 2 duration 11 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 6 mins.
Operation 1 on Machine 0 duration 9 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 3 duration 6 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 5 mins.
Operation 1 on Machine 1 duration 11 mins.
Operation 2 on Machine 3 duration 7 mins.
Operation 3 on Machine 0 duration 13 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 8 mins.
Operation 1 on Machine 3 duration 3 mins.
Operation 2 on Machine 1 duration 14 mins.
Operation 3 on Machine 2 duration 10 mins.
| Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 6 mins.
Job 6 Operation 0 duration 8 mins.
Job 0 Operation 1 duration 6 mins.
Job 4 Operation 1 duration 9 mins.
Job 2 Operation 2 duration 9 mins.
Job 1 Operation 3 duration 13 mins.
Job 5 Operation 3 duration 13 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 6 mins.
Job 1 Operation 1 duration 1 mins.
Job 2 Operation 1 duration 8 mins.
Job 5 Operation 1 duration 11 mins.
Job 3 Operation 2 duration 10 mins.
Job 6 Operation 2 duration 14 mins.
Job 0 Operation 3 duration 2 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 7 mins.
Job 5 Operation 0 duration 5 mins.
Job 0 Operation 2 duration 8 mins.
Job 4 Operation 2 duration 1 mins.
Job 2 Operation 3 duration 7 mins.
Job 3 Operation 3 duration 11 mins.
Job 6 Operation 3 duration 10 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 12 mins.
Job 2 Operation 0 duration 6 mins.
Job 3 Operation 1 duration 11 mins.
Job 6 Operation 1 duration 3 mins.
Job 1 Operation 2 duration 6 mins.
Job 5 Operation 2 duration 7 mins.
Job 4 Operation 3 duration 6 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 6 -> 6
Job 4 Operation 0 on Machine 1 : 0 + 6 -> 6
Job 5 Operation 0 on Machine 2 : 0 + 5 -> 5
Job 2 Operation 0 on Machine 3 : 0 + 6 -> 6
Job 1 Operation 0 on Machine 2 : 5 + 7 -> 12
Job 4 Operation 1 on Machine 0 : 6 + 9 -> 15
Job 2 Operation 1 on Machine 1 : 6 + 8 -> 14
Job 3 Operation 1 on Machine 3 : 6 + 11 -> 17
Job 5 Operation 1 on Machine 1 : 14 + 11 -> 25
Job 2 Operation 2 on Machine 0 : 15 + 9 -> 24
Job 4 Operation 2 on Machine 2 : 15 + 1 -> 16
Job 0 Operation 0 on Machine 3 : 17 + 12 -> 29
Job 6 Operation 0 on Machine 0 : 24 + 8 -> 32
Job 2 Operation 3 on Machine 2 : 24 + 7 -> 31
Job 3 Operation 2 on Machine 1 : 25 + 10 -> 35
Job 5 Operation 2 on Machine 3 : 29 + 7 -> 36
Job 0 Operation 1 on Machine 0 : 32 + 6 -> 38
Job 1 Operation 1 on Machine 1 : 35 + 1 -> 36
Job 3 Operation 3 on Machine 2 : 35 + 11 -> 46
Job 6 Operation 1 on Machine 3 : 36 + 3 -> 39
Job 5 Operation 3 on Machine 0 : 38 + 13 -> 51
Job 6 Operation 2 on Machine 1 : 39 + 14 -> 53
Job 4 Operation 3 on Machine 3 : 39 + 6 -> 45
Job 1 Operation 2 on Machine 3 : 45 + 6 -> 51
Job 0 Operation 2 on Machine 2 : 46 + 8 -> 54
Job 1 Operation 3 on Machine 0 : 51 + 13 -> 64
Job 0 Operation 3 on Machine 1 : 54 + 2 -> 56
Job 6 Operation 3 on Machine 2 : 54 + 10 -> 64
Makespan: 64.0, as it is the maximum end completion time of Operation 3 |
3 | 2 | Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 31 mins.
Operation 1 on Machine 0 duration 100 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 23 mins.
Operation 1 on Machine 1 duration 60 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 18 mins.
Operation 1 on Machine 1 duration 110 mins.
| Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 23 mins.
Job 2 Operation 0 duration 18 mins.
Job 0 Operation 1 duration 100 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 31 mins.
Job 1 Operation 1 duration 60 mins.
Job 2 Operation 1 duration 110 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 18 -> 18
Job 0 Operation 0 on Machine 1 : 0 + 31 -> 31
Job 1 Operation 0 on Machine 0 : 18 + 23 -> 41
Job 2 Operation 1 on Machine 1 : 31 + 110 -> 141
Job 0 Operation 1 on Machine 0 : 41 + 100 -> 141
Job 1 Operation 1 on Machine 1 : 141 + 60 -> 201
Makespan: 201.0, as it is the maximum end completion time of Operation 1 |
10 | 10 | Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 84 mins.
Operation 1 on Machine 9 duration 225 mins.
Operation 2 on Machine 1 duration 141 mins.
Operation 3 on Machine 3 duration 197 mins.
Operation 4 on Machine 8 duration 36 mins.
Operation 5 on Machine 4 duration 135 mins.
Operation 6 on Machine 7 duration 203 mins.
Operation 7 on Machine 2 duration 257 mins.
Operation 8 on Machine 5 duration 280 mins.
Operation 9 on Machine 6 duration 149 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 176 mins.
Operation 1 on Machine 6 duration 155 mins.
Operation 2 on Machine 4 duration 247 mins.
Operation 3 on Machine 9 duration 116 mins.
Operation 4 on Machine 8 duration 125 mins.
Operation 5 on Machine 2 duration 120 mins.
Operation 6 on Machine 1 duration 196 mins.
Operation 7 on Machine 3 duration 57 mins.
Operation 8 on Machine 0 duration 50 mins.
Operation 9 on Machine 5 duration 204 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 253 mins.
Operation 1 on Machine 0 duration 70 mins.
Operation 2 on Machine 2 duration 126 mins.
Operation 3 on Machine 5 duration 209 mins.
Operation 4 on Machine 8 duration 256 mins.
Operation 5 on Machine 3 duration 134 mins.
Operation 6 on Machine 7 duration 51 mins.
Operation 7 on Machine 1 duration 38 mins.
Operation 8 on Machine 4 duration 252 mins.
Operation 9 on Machine 9 duration 57 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 181 mins.
Operation 1 on Machine 3 duration 79 mins.
Operation 2 on Machine 5 duration 236 mins.
Operation 3 on Machine 2 duration 91 mins.
Operation 4 on Machine 8 duration 62 mins.
Operation 5 on Machine 7 duration 34 mins.
Operation 6 on Machine 0 duration 29 mins.
Operation 7 on Machine 9 duration 84 mins.
Operation 8 on Machine 4 duration 72 mins.
Operation 9 on Machine 6 duration 98 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 272 mins.
Operation 1 on Machine 8 duration 80 mins.
Operation 2 on Machine 2 duration 284 mins.
Operation 3 on Machine 6 duration 38 mins.
Operation 4 on Machine 1 duration 182 mins.
Operation 5 on Machine 0 duration 209 mins.
Operation 6 on Machine 5 duration 157 mins.
Operation 7 on Machine 3 duration 216 mins.
Operation 8 on Machine 4 duration 83 mins.
Operation 9 on Machine 9 duration 258 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 282 mins.
Operation 1 on Machine 6 duration 226 mins.
Operation 2 on Machine 7 duration 79 mins.
Operation 3 on Machine 5 duration 39 mins.
Operation 4 on Machine 3 duration 89 mins.
Operation 5 on Machine 8 duration 54 mins.
Operation 6 on Machine 1 duration 272 mins.
Operation 7 on Machine 9 duration 122 mins.
Operation 8 on Machine 0 duration 267 mins.
Operation 9 on Machine 4 duration 208 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 63 mins.
Operation 1 on Machine 0 duration 285 mins.
Operation 2 on Machine 2 duration 227 mins.
Operation 3 on Machine 9 duration 267 mins.
Operation 4 on Machine 4 duration 79 mins.
Operation 5 on Machine 3 duration 184 mins.
Operation 6 on Machine 1 duration 36 mins.
Operation 7 on Machine 6 duration 138 mins.
Operation 8 on Machine 8 duration 286 mins.
Operation 9 on Machine 7 duration 239 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 7 duration 285 mins.
Operation 1 on Machine 8 duration 284 mins.
Operation 2 on Machine 1 duration 189 mins.
Operation 3 on Machine 3 duration 148 mins.
Operation 4 on Machine 0 duration 254 mins.
Operation 5 on Machine 2 duration 221 mins.
Operation 6 on Machine 9 duration 148 mins.
Operation 7 on Machine 5 duration 184 mins.
Operation 8 on Machine 6 duration 40 mins.
Operation 9 on Machine 4 duration 28 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 8 duration 187 mins.
Operation 1 on Machine 1 duration 127 mins.
Operation 2 on Machine 4 duration 88 mins.
Operation 3 on Machine 3 duration 132 mins.
Operation 4 on Machine 5 duration 231 mins.
Operation 5 on Machine 6 duration 118 mins.
Operation 6 on Machine 7 duration 231 mins.
Operation 7 on Machine 0 duration 242 mins.
Operation 8 on Machine 2 duration 215 mins.
Operation 9 on Machine 9 duration 160 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 104 mins.
Operation 1 on Machine 5 duration 133 mins.
Operation 2 on Machine 7 duration 135 mins.
Operation 3 on Machine 4 duration 153 mins.
Operation 4 on Machine 8 duration 44 mins.
Operation 5 on Machine 6 duration 234 mins.
Operation 6 on Machine 2 duration 276 mins.
Operation 7 on Machine 0 duration 1 mins.
Operation 8 on Machine 9 duration 179 mins.
Operation 9 on Machine 1 duration 147 mins.
| Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 84 mins.
Job 2 Operation 1 duration 70 mins.
Job 6 Operation 1 duration 285 mins.
Job 7 Operation 4 duration 254 mins.
Job 4 Operation 5 duration 209 mins.
Job 3 Operation 6 duration 29 mins.
Job 8 Operation 7 duration 242 mins.
Job 9 Operation 7 duration 1 mins.
Job 1 Operation 8 duration 50 mins.
Job 5 Operation 8 duration 267 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 181 mins.
Job 8 Operation 1 duration 127 mins.
Job 0 Operation 2 duration 141 mins.
Job 7 Operation 2 duration 189 mins.
Job 4 Operation 4 duration 182 mins.
Job 1 Operation 6 duration 196 mins.
Job 5 Operation 6 duration 272 mins.
Job 6 Operation 6 duration 36 mins.
Job 2 Operation 7 duration 38 mins.
Job 9 Operation 9 duration 147 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 282 mins.
Job 2 Operation 2 duration 126 mins.
Job 4 Operation 2 duration 284 mins.
Job 6 Operation 2 duration 227 mins.
Job 3 Operation 3 duration 91 mins.
Job 1 Operation 5 duration 120 mins.
Job 7 Operation 5 duration 221 mins.
Job 9 Operation 6 duration 276 mins.
Job 0 Operation 7 duration 257 mins.
Job 8 Operation 8 duration 215 mins.
Machine 3 is used for the following Operations:
Job 9 Operation 0 duration 104 mins.
Job 3 Operation 1 duration 79 mins.
Job 0 Operation 3 duration 197 mins.
Job 7 Operation 3 duration 148 mins.
Job 8 Operation 3 duration 132 mins.
Job 5 Operation 4 duration 89 mins.
Job 2 Operation 5 duration 134 mins.
Job 6 Operation 5 duration 184 mins.
Job 1 Operation 7 duration 57 mins.
Job 4 Operation 7 duration 216 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 2 duration 247 mins.
Job 8 Operation 2 duration 88 mins.
Job 9 Operation 3 duration 153 mins.
Job 6 Operation 4 duration 79 mins.
Job 0 Operation 5 duration 135 mins.
Job 2 Operation 8 duration 252 mins.
Job 3 Operation 8 duration 72 mins.
Job 4 Operation 8 duration 83 mins.
Job 5 Operation 9 duration 208 mins.
Job 7 Operation 9 duration 28 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 63 mins.
Job 9 Operation 1 duration 133 mins.
Job 3 Operation 2 duration 236 mins.
Job 2 Operation 3 duration 209 mins.
Job 5 Operation 3 duration 39 mins.
Job 8 Operation 4 duration 231 mins.
Job 4 Operation 6 duration 157 mins.
Job 7 Operation 7 duration 184 mins.
Job 0 Operation 8 duration 280 mins.
Job 1 Operation 9 duration 204 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 253 mins.
Job 1 Operation 1 duration 155 mins.
Job 5 Operation 1 duration 226 mins.
Job 4 Operation 3 duration 38 mins.
Job 8 Operation 5 duration 118 mins.
Job 9 Operation 5 duration 234 mins.
Job 6 Operation 7 duration 138 mins.
Job 7 Operation 8 duration 40 mins.
Job 0 Operation 9 duration 149 mins.
Job 3 Operation 9 duration 98 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 176 mins.
Job 4 Operation 0 duration 272 mins.
Job 7 Operation 0 duration 285 mins.
Job 5 Operation 2 duration 79 mins.
Job 9 Operation 2 duration 135 mins.
Job 3 Operation 5 duration 34 mins.
Job 0 Operation 6 duration 203 mins.
Job 2 Operation 6 duration 51 mins.
Job 8 Operation 6 duration 231 mins.
Job 6 Operation 9 duration 239 mins.
Machine 8 is used for the following Operations:
Job 8 Operation 0 duration 187 mins.
Job 4 Operation 1 duration 80 mins.
Job 7 Operation 1 duration 284 mins.
Job 0 Operation 4 duration 36 mins.
Job 1 Operation 4 duration 125 mins.
Job 2 Operation 4 duration 256 mins.
Job 3 Operation 4 duration 62 mins.
Job 9 Operation 4 duration 44 mins.
Job 5 Operation 5 duration 54 mins.
Job 6 Operation 8 duration 286 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 1 duration 225 mins.
Job 1 Operation 3 duration 116 mins.
Job 6 Operation 3 duration 267 mins.
Job 7 Operation 6 duration 148 mins.
Job 3 Operation 7 duration 84 mins.
Job 5 Operation 7 duration 122 mins.
Job 9 Operation 8 duration 179 mins.
Job 2 Operation 9 duration 57 mins.
Job 4 Operation 9 duration 258 mins.
Job 8 Operation 9 duration 160 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 84 -> 84
Job 3 Operation 0 on Machine 1 : 0 + 181 -> 181
Job 5 Operation 0 on Machine 2 : 0 + 282 -> 282
Job 9 Operation 0 on Machine 3 : 0 + 104 -> 104
Job 6 Operation 0 on Machine 5 : 0 + 63 -> 63
Job 2 Operation 0 on Machine 6 : 0 + 253 -> 253
Job 4 Operation 0 on Machine 7 : 0 + 272 -> 272
Job 8 Operation 0 on Machine 8 : 0 + 187 -> 187
Job 0 Operation 1 on Machine 9 : 84 + 225 -> 309
Job 9 Operation 1 on Machine 5 : 104 + 133 -> 237
Job 3 Operation 1 on Machine 3 : 181 + 79 -> 260
Job 8 Operation 1 on Machine 1 : 187 + 127 -> 314
Job 2 Operation 1 on Machine 0 : 253 + 70 -> 323
Job 3 Operation 2 on Machine 5 : 260 + 236 -> 496
Job 9 Operation 2 on Machine 7 : 272 + 135 -> 407
Job 4 Operation 1 on Machine 8 : 272 + 80 -> 352
Job 5 Operation 1 on Machine 6 : 282 + 226 -> 508
Job 0 Operation 2 on Machine 1 : 314 + 141 -> 455
Job 8 Operation 2 on Machine 4 : 314 + 88 -> 402
Job 6 Operation 1 on Machine 0 : 323 + 285 -> 608
Job 2 Operation 2 on Machine 2 : 323 + 126 -> 449
Job 9 Operation 3 on Machine 4 : 407 + 153 -> 560
Job 7 Operation 0 on Machine 7 : 407 + 285 -> 692
Job 4 Operation 2 on Machine 2 : 449 + 284 -> 733
Job 0 Operation 3 on Machine 3 : 455 + 197 -> 652
Job 2 Operation 3 on Machine 5 : 496 + 209 -> 705
Job 9 Operation 4 on Machine 8 : 560 + 44 -> 604
Job 8 Operation 3 on Machine 3 : 652 + 132 -> 784
Job 0 Operation 4 on Machine 8 : 652 + 36 -> 688
Job 0 Operation 5 on Machine 4 : 688 + 135 -> 823
Job 5 Operation 2 on Machine 7 : 692 + 79 -> 771
Job 7 Operation 1 on Machine 8 : 692 + 284 -> 976
Job 6 Operation 2 on Machine 2 : 733 + 227 -> 960
Job 4 Operation 3 on Machine 6 : 733 + 38 -> 771
Job 4 Operation 4 on Machine 1 : 771 + 182 -> 953
Job 5 Operation 3 on Machine 5 : 771 + 39 -> 810
Job 9 Operation 5 on Machine 6 : 771 + 234 -> 1005
Job 1 Operation 0 on Machine 7 : 771 + 176 -> 947
Job 5 Operation 4 on Machine 3 : 810 + 89 -> 899
Job 8 Operation 4 on Machine 5 : 810 + 231 -> 1041
Job 0 Operation 6 on Machine 7 : 947 + 203 -> 1150
Job 4 Operation 5 on Machine 0 : 953 + 209 -> 1162
Job 3 Operation 3 on Machine 2 : 960 + 91 -> 1051
Job 6 Operation 3 on Machine 9 : 960 + 267 -> 1227
Job 7 Operation 2 on Machine 1 : 976 + 189 -> 1165
Job 5 Operation 5 on Machine 8 : 976 + 54 -> 1030
Job 1 Operation 1 on Machine 6 : 1005 + 155 -> 1160
Job 9 Operation 6 on Machine 2 : 1051 + 276 -> 1327
Job 3 Operation 4 on Machine 8 : 1051 + 62 -> 1113
Job 2 Operation 4 on Machine 8 : 1113 + 256 -> 1369
Job 3 Operation 5 on Machine 7 : 1150 + 34 -> 1184
Job 8 Operation 5 on Machine 6 : 1160 + 118 -> 1278
Job 4 Operation 6 on Machine 5 : 1162 + 157 -> 1319
Job 5 Operation 6 on Machine 1 : 1165 + 272 -> 1437
Job 7 Operation 3 on Machine 3 : 1165 + 148 -> 1313
Job 3 Operation 6 on Machine 0 : 1184 + 29 -> 1213
Job 6 Operation 4 on Machine 4 : 1227 + 79 -> 1306
Job 3 Operation 7 on Machine 9 : 1227 + 84 -> 1311
Job 8 Operation 6 on Machine 7 : 1278 + 231 -> 1509
Job 1 Operation 2 on Machine 4 : 1306 + 247 -> 1553
Job 9 Operation 7 on Machine 0 : 1327 + 1 -> 1328
Job 0 Operation 7 on Machine 2 : 1327 + 257 -> 1584
Job 7 Operation 4 on Machine 0 : 1328 + 254 -> 1582
Job 9 Operation 8 on Machine 9 : 1328 + 179 -> 1507
Job 2 Operation 5 on Machine 3 : 1369 + 134 -> 1503
Job 6 Operation 5 on Machine 3 : 1503 + 184 -> 1687
Job 2 Operation 6 on Machine 7 : 1509 + 51 -> 1560
Job 3 Operation 8 on Machine 4 : 1553 + 72 -> 1625
Job 1 Operation 3 on Machine 9 : 1553 + 116 -> 1669
Job 2 Operation 7 on Machine 1 : 1560 + 38 -> 1598
Job 8 Operation 7 on Machine 0 : 1582 + 242 -> 1824
Job 7 Operation 5 on Machine 2 : 1584 + 221 -> 1805
Job 0 Operation 8 on Machine 5 : 1584 + 280 -> 1864
Job 2 Operation 8 on Machine 4 : 1625 + 252 -> 1877
Job 3 Operation 9 on Machine 6 : 1625 + 98 -> 1723
Job 1 Operation 4 on Machine 8 : 1669 + 125 -> 1794
Job 5 Operation 7 on Machine 9 : 1669 + 122 -> 1791
Job 6 Operation 6 on Machine 1 : 1687 + 36 -> 1723
Job 4 Operation 7 on Machine 3 : 1687 + 216 -> 1903
Job 9 Operation 9 on Machine 1 : 1723 + 147 -> 1870
Job 6 Operation 7 on Machine 6 : 1723 + 138 -> 1861
Job 1 Operation 5 on Machine 2 : 1805 + 120 -> 1925
Job 7 Operation 6 on Machine 9 : 1805 + 148 -> 1953
Job 5 Operation 8 on Machine 0 : 1824 + 267 -> 2091
Job 6 Operation 8 on Machine 8 : 1861 + 286 -> 2147
Job 4 Operation 8 on Machine 4 : 1903 + 83 -> 1986
Job 1 Operation 6 on Machine 1 : 1925 + 196 -> 2121
Job 8 Operation 8 on Machine 2 : 1925 + 215 -> 2140
Job 7 Operation 7 on Machine 5 : 1953 + 184 -> 2137
Job 2 Operation 9 on Machine 9 : 1953 + 57 -> 2010
Job 4 Operation 9 on Machine 9 : 2010 + 258 -> 2268
Job 1 Operation 7 on Machine 3 : 2121 + 57 -> 2178
Job 7 Operation 8 on Machine 6 : 2137 + 40 -> 2177
Job 6 Operation 9 on Machine 7 : 2147 + 239 -> 2386
Job 7 Operation 9 on Machine 4 : 2177 + 28 -> 2205
Job 0 Operation 9 on Machine 6 : 2177 + 149 -> 2326
Job 1 Operation 8 on Machine 0 : 2178 + 50 -> 2228
Job 5 Operation 9 on Machine 4 : 2205 + 208 -> 2413
Job 1 Operation 9 on Machine 5 : 2228 + 204 -> 2432
Job 8 Operation 9 on Machine 9 : 2268 + 160 -> 2428
Makespan: 2432.0, as it is the maximum end completion time of Operation 9 |
8 | 2 | Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 19 mins.
Operation 1 on Machine 0 duration 14 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 11 mins.
Operation 1 on Machine 0 duration 27 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 12 mins.
Operation 1 on Machine 0 duration 26 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 14 mins.
Operation 1 on Machine 1 duration 5 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 27 mins.
Operation 1 on Machine 1 duration 20 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 9 mins.
Operation 1 on Machine 0 duration 6 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 6 mins.
Operation 1 on Machine 1 duration 27 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 21 mins.
Operation 1 on Machine 0 duration 22 mins.
| Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 14 mins.
Job 4 Operation 0 duration 27 mins.
Job 6 Operation 0 duration 6 mins.
Job 0 Operation 1 duration 14 mins.
Job 1 Operation 1 duration 27 mins.
Job 2 Operation 1 duration 26 mins.
Job 5 Operation 1 duration 6 mins.
Job 7 Operation 1 duration 22 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 19 mins.
Job 1 Operation 0 duration 11 mins.
Job 2 Operation 0 duration 12 mins.
Job 5 Operation 0 duration 9 mins.
Job 7 Operation 0 duration 21 mins.
Job 3 Operation 1 duration 5 mins.
Job 4 Operation 1 duration 20 mins.
Job 6 Operation 1 duration 27 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 6 -> 6
Job 2 Operation 0 on Machine 1 : 0 + 12 -> 12
Job 4 Operation 0 on Machine 0 : 6 + 27 -> 33
Job 5 Operation 0 on Machine 1 : 12 + 9 -> 21
Job 1 Operation 0 on Machine 1 : 21 + 11 -> 32
Job 1 Operation 1 on Machine 0 : 33 + 27 -> 60
Job 4 Operation 1 on Machine 1 : 33 + 20 -> 53
Job 7 Operation 0 on Machine 1 : 53 + 21 -> 74
Job 5 Operation 1 on Machine 0 : 60 + 6 -> 66
Job 3 Operation 0 on Machine 0 : 66 + 14 -> 80
Job 6 Operation 1 on Machine 1 : 74 + 27 -> 101
Job 7 Operation 1 on Machine 0 : 80 + 22 -> 102
Job 3 Operation 1 on Machine 1 : 101 + 5 -> 106
Job 2 Operation 1 on Machine 0 : 102 + 26 -> 128
Job 0 Operation 0 on Machine 1 : 106 + 19 -> 125
Job 0 Operation 1 on Machine 0 : 128 + 14 -> 142
Makespan: 142.0, as it is the maximum end completion time of Operation 1 |
9 | 2 | Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 104 mins.
Operation 1 on Machine 1 duration 62 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 61 mins.
Operation 1 on Machine 0 duration 197 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 1 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 213 mins.
Operation 1 on Machine 1 duration 139 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 204 mins.
Operation 1 on Machine 0 duration 31 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 1 duration 164 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 173 mins.
Operation 1 on Machine 0 duration 25 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 165 mins.
Operation 1 on Machine 0 duration 157 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 58 mins.
Operation 1 on Machine 1 duration 80 mins.
| Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 104 mins.
Job 2 Operation 0 duration 30 mins.
Job 3 Operation 0 duration 213 mins.
Job 5 Operation 0 duration 12 mins.
Job 8 Operation 0 duration 58 mins.
Job 1 Operation 1 duration 197 mins.
Job 4 Operation 1 duration 31 mins.
Job 6 Operation 1 duration 25 mins.
Job 7 Operation 1 duration 157 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 61 mins.
Job 4 Operation 0 duration 204 mins.
Job 6 Operation 0 duration 173 mins.
Job 7 Operation 0 duration 165 mins.
Job 0 Operation 1 duration 62 mins.
Job 2 Operation 1 duration 3 mins.
Job 3 Operation 1 duration 139 mins.
Job 5 Operation 1 duration 164 mins.
Job 8 Operation 1 duration 80 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 12 -> 12
Job 4 Operation 0 on Machine 1 : 0 + 204 -> 204
Job 8 Operation 0 on Machine 0 : 12 + 58 -> 70
Job 0 Operation 0 on Machine 0 : 70 + 104 -> 174
Job 2 Operation 0 on Machine 0 : 174 + 30 -> 204
Job 4 Operation 1 on Machine 0 : 204 + 31 -> 235
Job 1 Operation 0 on Machine 1 : 204 + 61 -> 265
Job 1 Operation 1 on Machine 0 : 265 + 197 -> 462
Job 5 Operation 1 on Machine 1 : 265 + 164 -> 429
Job 6 Operation 0 on Machine 1 : 429 + 173 -> 602
Job 6 Operation 1 on Machine 0 : 602 + 25 -> 627
Job 2 Operation 1 on Machine 1 : 602 + 3 -> 605
Job 0 Operation 1 on Machine 1 : 605 + 62 -> 667
Job 3 Operation 0 on Machine 0 : 627 + 213 -> 840
Job 7 Operation 0 on Machine 1 : 667 + 165 -> 832
Job 8 Operation 1 on Machine 1 : 832 + 80 -> 912
Job 7 Operation 1 on Machine 0 : 840 + 157 -> 997
Job 3 Operation 1 on Machine 1 : 912 + 139 -> 1051
Makespan: 1051.0, as it is the maximum end completion time of Operation 1 |
8 | 5 | Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 9 mins.
Operation 1 on Machine 2 duration 122 mins.
Operation 2 on Machine 3 duration 194 mins.
Operation 3 on Machine 0 duration 114 mins.
Operation 4 on Machine 1 duration 74 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 62 mins.
Operation 1 on Machine 3 duration 71 mins.
Operation 2 on Machine 1 duration 242 mins.
Operation 3 on Machine 0 duration 126 mins.
Operation 4 on Machine 4 duration 251 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 109 mins.
Operation 1 on Machine 0 duration 200 mins.
Operation 2 on Machine 1 duration 172 mins.
Operation 3 on Machine 4 duration 13 mins.
Operation 4 on Machine 2 duration 19 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 140 mins.
Operation 1 on Machine 2 duration 7 mins.
Operation 2 on Machine 0 duration 219 mins.
Operation 3 on Machine 1 duration 201 mins.
Operation 4 on Machine 3 duration 204 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 228 mins.
Operation 1 on Machine 0 duration 159 mins.
Operation 2 on Machine 4 duration 175 mins.
Operation 3 on Machine 1 duration 91 mins.
Operation 4 on Machine 2 duration 73 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 82 mins.
Operation 1 on Machine 0 duration 101 mins.
Operation 2 on Machine 3 duration 224 mins.
Operation 3 on Machine 2 duration 106 mins.
Operation 4 on Machine 1 duration 186 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 141 mins.
Operation 1 on Machine 1 duration 186 mins.
Operation 2 on Machine 0 duration 221 mins.
Operation 3 on Machine 2 duration 239 mins.
Operation 4 on Machine 4 duration 258 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 46 mins.
Operation 1 on Machine 0 duration 90 mins.
Operation 2 on Machine 4 duration 183 mins.
Operation 3 on Machine 2 duration 163 mins.
Operation 4 on Machine 1 duration 201 mins.
| Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 200 mins.
Job 4 Operation 1 duration 159 mins.
Job 5 Operation 1 duration 101 mins.
Job 7 Operation 1 duration 90 mins.
Job 3 Operation 2 duration 219 mins.
Job 6 Operation 2 duration 221 mins.
Job 0 Operation 3 duration 114 mins.
Job 1 Operation 3 duration 126 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 1 duration 186 mins.
Job 1 Operation 2 duration 242 mins.
Job 2 Operation 2 duration 172 mins.
Job 3 Operation 3 duration 201 mins.
Job 4 Operation 3 duration 91 mins.
Job 0 Operation 4 duration 74 mins.
Job 5 Operation 4 duration 186 mins.
Job 7 Operation 4 duration 201 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 62 mins.
Job 0 Operation 1 duration 122 mins.
Job 3 Operation 1 duration 7 mins.
Job 5 Operation 3 duration 106 mins.
Job 6 Operation 3 duration 239 mins.
Job 7 Operation 3 duration 163 mins.
Job 2 Operation 4 duration 19 mins.
Job 4 Operation 4 duration 73 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 109 mins.
Job 4 Operation 0 duration 228 mins.
Job 6 Operation 0 duration 141 mins.
Job 7 Operation 0 duration 46 mins.
Job 1 Operation 1 duration 71 mins.
Job 0 Operation 2 duration 194 mins.
Job 5 Operation 2 duration 224 mins.
Job 3 Operation 4 duration 204 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 9 mins.
Job 3 Operation 0 duration 140 mins.
Job 5 Operation 0 duration 82 mins.
Job 4 Operation 2 duration 175 mins.
Job 7 Operation 2 duration 183 mins.
Job 2 Operation 3 duration 13 mins.
Job 1 Operation 4 duration 251 mins.
Job 6 Operation 4 duration 258 mins.
| Solution:
Job 1 Operation 0 on Machine 2 : 0 + 62 -> 62
Job 7 Operation 0 on Machine 3 : 0 + 46 -> 46
Job 5 Operation 0 on Machine 4 : 0 + 82 -> 82
Job 7 Operation 1 on Machine 0 : 46 + 90 -> 136
Job 1 Operation 1 on Machine 3 : 62 + 71 -> 133
Job 0 Operation 0 on Machine 4 : 82 + 9 -> 91
Job 0 Operation 1 on Machine 2 : 91 + 122 -> 213
Job 3 Operation 0 on Machine 4 : 91 + 140 -> 231
Job 1 Operation 2 on Machine 1 : 133 + 242 -> 375
Job 6 Operation 0 on Machine 3 : 133 + 141 -> 274
Job 5 Operation 1 on Machine 0 : 136 + 101 -> 237
Job 3 Operation 1 on Machine 2 : 231 + 7 -> 238
Job 7 Operation 2 on Machine 4 : 231 + 183 -> 414
Job 3 Operation 2 on Machine 0 : 238 + 219 -> 457
Job 4 Operation 0 on Machine 3 : 274 + 228 -> 502
Job 6 Operation 1 on Machine 1 : 375 + 186 -> 561
Job 7 Operation 3 on Machine 2 : 414 + 163 -> 577
Job 1 Operation 3 on Machine 0 : 457 + 126 -> 583
Job 5 Operation 2 on Machine 3 : 502 + 224 -> 726
Job 3 Operation 3 on Machine 1 : 561 + 201 -> 762
Job 6 Operation 2 on Machine 0 : 583 + 221 -> 804
Job 1 Operation 4 on Machine 4 : 583 + 251 -> 834
Job 5 Operation 3 on Machine 2 : 726 + 106 -> 832
Job 2 Operation 0 on Machine 3 : 726 + 109 -> 835
Job 7 Operation 4 on Machine 1 : 762 + 201 -> 963
Job 4 Operation 1 on Machine 0 : 804 + 159 -> 963
Job 6 Operation 3 on Machine 2 : 832 + 239 -> 1071
Job 0 Operation 2 on Machine 3 : 835 + 194 -> 1029
Job 2 Operation 1 on Machine 0 : 963 + 200 -> 1163
Job 5 Operation 4 on Machine 1 : 963 + 186 -> 1149
Job 4 Operation 2 on Machine 4 : 963 + 175 -> 1138
Job 3 Operation 4 on Machine 3 : 1029 + 204 -> 1233
Job 6 Operation 4 on Machine 4 : 1138 + 258 -> 1396
Job 4 Operation 3 on Machine 1 : 1149 + 91 -> 1240
Job 0 Operation 3 on Machine 0 : 1163 + 114 -> 1277
Job 2 Operation 2 on Machine 1 : 1240 + 172 -> 1412
Job 4 Operation 4 on Machine 2 : 1240 + 73 -> 1313
Job 0 Operation 4 on Machine 1 : 1412 + 74 -> 1486
Job 2 Operation 3 on Machine 4 : 1412 + 13 -> 1425
Job 2 Operation 4 on Machine 2 : 1425 + 19 -> 1444
Makespan: 1486.0, as it is the maximum end completion time of Operation 4 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 244 mins.
Operation 1 on Machine 0 duration 160 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 155 mins.
Operation 1 on Machine 0 duration 110 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 84 mins.
Operation 1 on Machine 0 duration 264 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 53 mins.
Operation 1 on Machine 0 duration 102 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 361 mins.
Operation 1 on Machine 1 duration 167 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 184 mins.
Operation 1 on Machine 1 duration 380 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 143 mins.
Operation 1 on Machine 1 duration 10 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 361 mins.
Job 5 Operation 0 duration 184 mins.
Job 6 Operation 0 duration 143 mins.
Job 0 Operation 1 duration 160 mins.
Job 1 Operation 1 duration 110 mins.
Job 2 Operation 1 duration 264 mins.
Job 3 Operation 1 duration 102 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 244 mins.
Job 1 Operation 0 duration 155 mins.
Job 2 Operation 0 duration 84 mins.
Job 3 Operation 0 duration 53 mins.
Job 4 Operation 1 duration 167 mins.
Job 5 Operation 1 duration 380 mins.
Job 6 Operation 1 duration 10 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 361 -> 361
Job 3 Operation 0 on Machine 1 : 0 + 53 -> 53
Job 2 Operation 0 on Machine 1 : 53 + 84 -> 137
Job 1 Operation 0 on Machine 1 : 137 + 155 -> 292
Job 1 Operation 1 on Machine 0 : 361 + 110 -> 471
Job 4 Operation 1 on Machine 1 : 361 + 167 -> 528
Job 6 Operation 0 on Machine 0 : 471 + 143 -> 614
Job 3 Operation 1 on Machine 0 : 614 + 102 -> 716
Job 6 Operation 1 on Machine 1 : 614 + 10 -> 624
Job 0 Operation 0 on Machine 1 : 624 + 244 -> 868
Job 5 Operation 0 on Machine 0 : 716 + 184 -> 900
Job 0 Operation 1 on Machine 0 : 900 + 160 -> 1060
Job 5 Operation 1 on Machine 1 : 900 + 380 -> 1280
Job 2 Operation 1 on Machine 0 : 1060 + 264 -> 1324
Makespan: 1324.0, as it is the maximum end completion time of Operation 1 |
9 | 2 | Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 156 mins.
Operation 1 on Machine 0 duration 70 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 58 mins.
Operation 1 on Machine 0 duration 181 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 133 mins.
Operation 1 on Machine 1 duration 22 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 101 mins.
Operation 1 on Machine 0 duration 158 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 134 mins.
Operation 1 on Machine 0 duration 176 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 30 mins.
Operation 1 on Machine 0 duration 153 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 137 mins.
Operation 1 on Machine 1 duration 116 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 22 mins.
Operation 1 on Machine 1 duration 127 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 54 mins.
Operation 1 on Machine 0 duration 22 mins.
| Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 133 mins.
Job 6 Operation 0 duration 137 mins.
Job 7 Operation 0 duration 22 mins.
Job 0 Operation 1 duration 70 mins.
Job 1 Operation 1 duration 181 mins.
Job 3 Operation 1 duration 158 mins.
Job 4 Operation 1 duration 176 mins.
Job 5 Operation 1 duration 153 mins.
Job 8 Operation 1 duration 22 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 156 mins.
Job 1 Operation 0 duration 58 mins.
Job 3 Operation 0 duration 101 mins.
Job 4 Operation 0 duration 134 mins.
Job 5 Operation 0 duration 30 mins.
Job 8 Operation 0 duration 54 mins.
Job 2 Operation 1 duration 22 mins.
Job 6 Operation 1 duration 116 mins.
Job 7 Operation 1 duration 127 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 22 -> 22
Job 5 Operation 0 on Machine 1 : 0 + 30 -> 30
Job 2 Operation 0 on Machine 0 : 22 + 133 -> 155
Job 8 Operation 0 on Machine 1 : 30 + 54 -> 84
Job 1 Operation 0 on Machine 1 : 84 + 58 -> 142
Job 3 Operation 0 on Machine 1 : 142 + 101 -> 243
Job 8 Operation 1 on Machine 0 : 155 + 22 -> 177
Job 6 Operation 0 on Machine 0 : 177 + 137 -> 314
Job 2 Operation 1 on Machine 1 : 243 + 22 -> 265
Job 7 Operation 1 on Machine 1 : 265 + 127 -> 392
Job 5 Operation 1 on Machine 0 : 314 + 153 -> 467
Job 6 Operation 1 on Machine 1 : 392 + 116 -> 508
Job 3 Operation 1 on Machine 0 : 467 + 158 -> 625
Job 4 Operation 0 on Machine 1 : 508 + 134 -> 642
Job 1 Operation 1 on Machine 0 : 625 + 181 -> 806
Job 0 Operation 0 on Machine 1 : 642 + 156 -> 798
Job 0 Operation 1 on Machine 0 : 806 + 70 -> 876
Job 4 Operation 1 on Machine 0 : 876 + 176 -> 1052
Makespan: 1052.0, as it is the maximum end completion time of Operation 1 |
6 | 3 | Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 168 mins.
Operation 1 on Machine 1 duration 129 mins.
Operation 2 on Machine 0 duration 48 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 175 mins.
Operation 1 on Machine 2 duration 225 mins.
Operation 2 on Machine 0 duration 273 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 352 mins.
Operation 1 on Machine 0 duration 229 mins.
Operation 2 on Machine 1 duration 217 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 312 mins.
Operation 1 on Machine 0 duration 237 mins.
Operation 2 on Machine 2 duration 76 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 34 mins.
Operation 1 on Machine 0 duration 125 mins.
Operation 2 on Machine 2 duration 91 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 314 mins.
Operation 1 on Machine 2 duration 213 mins.
Operation 2 on Machine 1 duration 18 mins.
| Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 314 mins.
Job 2 Operation 1 duration 229 mins.
Job 3 Operation 1 duration 237 mins.
Job 4 Operation 1 duration 125 mins.
Job 0 Operation 2 duration 48 mins.
Job 1 Operation 2 duration 273 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 175 mins.
Job 3 Operation 0 duration 312 mins.
Job 4 Operation 0 duration 34 mins.
Job 0 Operation 1 duration 129 mins.
Job 2 Operation 2 duration 217 mins.
Job 5 Operation 2 duration 18 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 168 mins.
Job 2 Operation 0 duration 352 mins.
Job 1 Operation 1 duration 225 mins.
Job 5 Operation 1 duration 213 mins.
Job 3 Operation 2 duration 76 mins.
Job 4 Operation 2 duration 91 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 314 -> 314
Job 4 Operation 0 on Machine 1 : 0 + 34 -> 34
Job 0 Operation 0 on Machine 2 : 0 + 168 -> 168
Job 3 Operation 0 on Machine 1 : 34 + 312 -> 346
Job 2 Operation 0 on Machine 2 : 168 + 352 -> 520
Job 4 Operation 1 on Machine 0 : 314 + 125 -> 439
Job 1 Operation 0 on Machine 1 : 346 + 175 -> 521
Job 3 Operation 1 on Machine 0 : 439 + 237 -> 676
Job 4 Operation 2 on Machine 2 : 520 + 91 -> 611
Job 0 Operation 1 on Machine 1 : 521 + 129 -> 650
Job 1 Operation 1 on Machine 2 : 611 + 225 -> 836
Job 2 Operation 1 on Machine 0 : 676 + 229 -> 905
Job 3 Operation 2 on Machine 2 : 836 + 76 -> 912
Job 1 Operation 2 on Machine 0 : 905 + 273 -> 1178
Job 2 Operation 2 on Machine 1 : 905 + 217 -> 1122
Job 5 Operation 1 on Machine 2 : 912 + 213 -> 1125
Job 5 Operation 2 on Machine 1 : 1125 + 18 -> 1143
Job 0 Operation 2 on Machine 0 : 1178 + 48 -> 1226
Makespan: 1226.0, as it is the maximum end completion time of Operation 2 |
10 | 3 | Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 118 mins.
Operation 1 on Machine 0 duration 119 mins.
Operation 2 on Machine 2 duration 78 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 144 mins.
Operation 1 on Machine 2 duration 201 mins.
Operation 2 on Machine 1 duration 160 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 145 mins.
Operation 1 on Machine 2 duration 130 mins.
Operation 2 on Machine 0 duration 46 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 92 mins.
Operation 1 on Machine 2 duration 78 mins.
Operation 2 on Machine 1 duration 111 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 131 mins.
Operation 1 on Machine 2 duration 17 mins.
Operation 2 on Machine 0 duration 199 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 163 mins.
Operation 1 on Machine 0 duration 109 mins.
Operation 2 on Machine 1 duration 8 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 157 mins.
Operation 1 on Machine 0 duration 150 mins.
Operation 2 on Machine 2 duration 211 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 41 mins.
Operation 1 on Machine 1 duration 118 mins.
Operation 2 on Machine 2 duration 109 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 168 mins.
Operation 1 on Machine 0 duration 158 mins.
Operation 2 on Machine 1 duration 107 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 201 mins.
Operation 1 on Machine 1 duration 170 mins.
Operation 2 on Machine 0 duration 119 mins.
| Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 144 mins.
Job 3 Operation 0 duration 92 mins.
Job 7 Operation 0 duration 41 mins.
Job 0 Operation 1 duration 119 mins.
Job 5 Operation 1 duration 109 mins.
Job 6 Operation 1 duration 150 mins.
Job 8 Operation 1 duration 158 mins.
Job 2 Operation 2 duration 46 mins.
Job 4 Operation 2 duration 199 mins.
Job 9 Operation 2 duration 119 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 118 mins.
Job 2 Operation 0 duration 145 mins.
Job 4 Operation 0 duration 131 mins.
Job 6 Operation 0 duration 157 mins.
Job 7 Operation 1 duration 118 mins.
Job 9 Operation 1 duration 170 mins.
Job 1 Operation 2 duration 160 mins.
Job 3 Operation 2 duration 111 mins.
Job 5 Operation 2 duration 8 mins.
Job 8 Operation 2 duration 107 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 163 mins.
Job 8 Operation 0 duration 168 mins.
Job 9 Operation 0 duration 201 mins.
Job 1 Operation 1 duration 201 mins.
Job 2 Operation 1 duration 130 mins.
Job 3 Operation 1 duration 78 mins.
Job 4 Operation 1 duration 17 mins.
Job 0 Operation 2 duration 78 mins.
Job 6 Operation 2 duration 211 mins.
Job 7 Operation 2 duration 109 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 41 -> 41
Job 4 Operation 0 on Machine 1 : 0 + 131 -> 131
Job 8 Operation 0 on Machine 2 : 0 + 168 -> 168
Job 1 Operation 0 on Machine 0 : 41 + 144 -> 185
Job 6 Operation 0 on Machine 1 : 131 + 157 -> 288
Job 4 Operation 1 on Machine 2 : 168 + 17 -> 185
Job 3 Operation 0 on Machine 0 : 185 + 92 -> 277
Job 1 Operation 1 on Machine 2 : 185 + 201 -> 386
Job 6 Operation 1 on Machine 0 : 288 + 150 -> 438
Job 1 Operation 2 on Machine 1 : 386 + 160 -> 546
Job 3 Operation 1 on Machine 2 : 386 + 78 -> 464
Job 4 Operation 2 on Machine 0 : 438 + 199 -> 637
Job 6 Operation 2 on Machine 2 : 464 + 211 -> 675
Job 3 Operation 2 on Machine 1 : 546 + 111 -> 657
Job 8 Operation 1 on Machine 0 : 637 + 158 -> 795
Job 2 Operation 0 on Machine 1 : 657 + 145 -> 802
Job 9 Operation 0 on Machine 2 : 675 + 201 -> 876
Job 0 Operation 0 on Machine 1 : 802 + 118 -> 920
Job 2 Operation 1 on Machine 2 : 876 + 130 -> 1006
Job 0 Operation 1 on Machine 0 : 920 + 119 -> 1039
Job 9 Operation 1 on Machine 1 : 920 + 170 -> 1090
Job 5 Operation 0 on Machine 2 : 1006 + 163 -> 1169
Job 2 Operation 2 on Machine 0 : 1039 + 46 -> 1085
Job 9 Operation 2 on Machine 0 : 1090 + 119 -> 1209
Job 7 Operation 1 on Machine 1 : 1090 + 118 -> 1208
Job 0 Operation 2 on Machine 2 : 1169 + 78 -> 1247
Job 8 Operation 2 on Machine 1 : 1208 + 107 -> 1315
Job 5 Operation 1 on Machine 0 : 1209 + 109 -> 1318
Job 7 Operation 2 on Machine 2 : 1247 + 109 -> 1356
Job 5 Operation 2 on Machine 1 : 1318 + 8 -> 1326
Makespan: 1356.0, as it is the maximum end completion time of Operation 2 |
9 | 9 | Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 445 mins.
Operation 1 on Machine 2 duration 152 mins.
Operation 2 on Machine 8 duration 218 mins.
Operation 3 on Machine 0 duration 221 mins.
Operation 4 on Machine 7 duration 269 mins.
Operation 5 on Machine 3 duration 397 mins.
Operation 6 on Machine 1 duration 363 mins.
Operation 7 on Machine 5 duration 244 mins.
Operation 8 on Machine 6 duration 69 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 150 mins.
Operation 1 on Machine 5 duration 336 mins.
Operation 2 on Machine 1 duration 34 mins.
Operation 3 on Machine 8 duration 91 mins.
Operation 4 on Machine 7 duration 443 mins.
Operation 5 on Machine 0 duration 101 mins.
Operation 6 on Machine 6 duration 438 mins.
Operation 7 on Machine 2 duration 184 mins.
Operation 8 on Machine 3 duration 345 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 66 mins.
Operation 1 on Machine 1 duration 141 mins.
Operation 2 on Machine 2 duration 400 mins.
Operation 3 on Machine 3 duration 290 mins.
Operation 4 on Machine 8 duration 378 mins.
Operation 5 on Machine 0 duration 267 mins.
Operation 6 on Machine 4 duration 96 mins.
Operation 7 on Machine 5 duration 390 mins.
Operation 8 on Machine 6 duration 252 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 22 mins.
Operation 1 on Machine 4 duration 32 mins.
Operation 2 on Machine 8 duration 98 mins.
Operation 3 on Machine 0 duration 231 mins.
Operation 4 on Machine 5 duration 383 mins.
Operation 5 on Machine 6 duration 396 mins.
Operation 6 on Machine 2 duration 9 mins.
Operation 7 on Machine 3 duration 65 mins.
Operation 8 on Machine 7 duration 146 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 331 mins.
Operation 1 on Machine 3 duration 39 mins.
Operation 2 on Machine 7 duration 310 mins.
Operation 3 on Machine 5 duration 221 mins.
Operation 4 on Machine 1 duration 361 mins.
Operation 5 on Machine 0 duration 45 mins.
Operation 6 on Machine 8 duration 297 mins.
Operation 7 on Machine 4 duration 262 mins.
Operation 8 on Machine 2 duration 290 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 440 mins.
Operation 1 on Machine 0 duration 210 mins.
Operation 2 on Machine 6 duration 171 mins.
Operation 3 on Machine 4 duration 129 mins.
Operation 4 on Machine 7 duration 367 mins.
Operation 5 on Machine 3 duration 192 mins.
Operation 6 on Machine 1 duration 420 mins.
Operation 7 on Machine 8 duration 269 mins.
Operation 8 on Machine 5 duration 126 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 59 mins.
Operation 1 on Machine 1 duration 285 mins.
Operation 2 on Machine 2 duration 188 mins.
Operation 3 on Machine 3 duration 372 mins.
Operation 4 on Machine 5 duration 425 mins.
Operation 5 on Machine 6 duration 347 mins.
Operation 6 on Machine 4 duration 7 mins.
Operation 7 on Machine 7 duration 344 mins.
Operation 8 on Machine 0 duration 375 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 99 mins.
Operation 1 on Machine 4 duration 176 mins.
Operation 2 on Machine 7 duration 212 mins.
Operation 3 on Machine 3 duration 296 mins.
Operation 4 on Machine 8 duration 20 mins.
Operation 5 on Machine 6 duration 363 mins.
Operation 6 on Machine 1 duration 12 mins.
Operation 7 on Machine 5 duration 292 mins.
Operation 8 on Machine 0 duration 210 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 275 mins.
Operation 1 on Machine 6 duration 191 mins.
Operation 2 on Machine 7 duration 56 mins.
Operation 3 on Machine 0 duration 124 mins.
Operation 4 on Machine 8 duration 144 mins.
Operation 5 on Machine 4 duration 339 mins.
Operation 6 on Machine 1 duration 107 mins.
Operation 7 on Machine 2 duration 389 mins.
Operation 8 on Machine 5 duration 280 mins.
| Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 1 duration 210 mins.
Job 0 Operation 3 duration 221 mins.
Job 3 Operation 3 duration 231 mins.
Job 8 Operation 3 duration 124 mins.
Job 1 Operation 5 duration 101 mins.
Job 2 Operation 5 duration 267 mins.
Job 4 Operation 5 duration 45 mins.
Job 6 Operation 8 duration 375 mins.
Job 7 Operation 8 duration 210 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 22 mins.
Job 2 Operation 1 duration 141 mins.
Job 6 Operation 1 duration 285 mins.
Job 1 Operation 2 duration 34 mins.
Job 4 Operation 4 duration 361 mins.
Job 0 Operation 6 duration 363 mins.
Job 5 Operation 6 duration 420 mins.
Job 7 Operation 6 duration 12 mins.
Job 8 Operation 6 duration 107 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 440 mins.
Job 7 Operation 0 duration 99 mins.
Job 0 Operation 1 duration 152 mins.
Job 2 Operation 2 duration 400 mins.
Job 6 Operation 2 duration 188 mins.
Job 3 Operation 6 duration 9 mins.
Job 1 Operation 7 duration 184 mins.
Job 8 Operation 7 duration 389 mins.
Job 4 Operation 8 duration 290 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 0 duration 275 mins.
Job 4 Operation 1 duration 39 mins.
Job 2 Operation 3 duration 290 mins.
Job 6 Operation 3 duration 372 mins.
Job 7 Operation 3 duration 296 mins.
Job 0 Operation 5 duration 397 mins.
Job 5 Operation 5 duration 192 mins.
Job 3 Operation 7 duration 65 mins.
Job 1 Operation 8 duration 345 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 445 mins.
Job 1 Operation 0 duration 150 mins.
Job 3 Operation 1 duration 32 mins.
Job 7 Operation 1 duration 176 mins.
Job 5 Operation 3 duration 129 mins.
Job 8 Operation 5 duration 339 mins.
Job 2 Operation 6 duration 96 mins.
Job 6 Operation 6 duration 7 mins.
Job 4 Operation 7 duration 262 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 1 duration 336 mins.
Job 4 Operation 3 duration 221 mins.
Job 3 Operation 4 duration 383 mins.
Job 6 Operation 4 duration 425 mins.
Job 0 Operation 7 duration 244 mins.
Job 2 Operation 7 duration 390 mins.
Job 7 Operation 7 duration 292 mins.
Job 5 Operation 8 duration 126 mins.
Job 8 Operation 8 duration 280 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 0 duration 331 mins.
Job 8 Operation 1 duration 191 mins.
Job 5 Operation 2 duration 171 mins.
Job 3 Operation 5 duration 396 mins.
Job 6 Operation 5 duration 347 mins.
Job 7 Operation 5 duration 363 mins.
Job 1 Operation 6 duration 438 mins.
Job 0 Operation 8 duration 69 mins.
Job 2 Operation 8 duration 252 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 66 mins.
Job 4 Operation 2 duration 310 mins.
Job 7 Operation 2 duration 212 mins.
Job 8 Operation 2 duration 56 mins.
Job 0 Operation 4 duration 269 mins.
Job 1 Operation 4 duration 443 mins.
Job 5 Operation 4 duration 367 mins.
Job 6 Operation 7 duration 344 mins.
Job 3 Operation 8 duration 146 mins.
Machine 8 is used for the following Operations:
Job 6 Operation 0 duration 59 mins.
Job 0 Operation 2 duration 218 mins.
Job 3 Operation 2 duration 98 mins.
Job 1 Operation 3 duration 91 mins.
Job 2 Operation 4 duration 378 mins.
Job 7 Operation 4 duration 20 mins.
Job 8 Operation 4 duration 144 mins.
Job 4 Operation 6 duration 297 mins.
Job 5 Operation 7 duration 269 mins.
| Solution:
Job 3 Operation 0 on Machine 1 : 0 + 22 -> 22
Job 7 Operation 0 on Machine 2 : 0 + 99 -> 99
Job 8 Operation 0 on Machine 3 : 0 + 275 -> 275
Job 1 Operation 0 on Machine 4 : 0 + 150 -> 150
Job 4 Operation 0 on Machine 6 : 0 + 331 -> 331
Job 2 Operation 0 on Machine 7 : 0 + 66 -> 66
Job 6 Operation 0 on Machine 8 : 0 + 59 -> 59
Job 6 Operation 1 on Machine 1 : 59 + 285 -> 344
Job 5 Operation 0 on Machine 2 : 99 + 440 -> 539
Job 3 Operation 1 on Machine 4 : 150 + 32 -> 182
Job 1 Operation 1 on Machine 5 : 150 + 336 -> 486
Job 7 Operation 1 on Machine 4 : 182 + 176 -> 358
Job 3 Operation 2 on Machine 8 : 182 + 98 -> 280
Job 3 Operation 3 on Machine 0 : 280 + 231 -> 511
Job 4 Operation 1 on Machine 3 : 331 + 39 -> 370
Job 8 Operation 1 on Machine 6 : 331 + 191 -> 522
Job 2 Operation 1 on Machine 1 : 344 + 141 -> 485
Job 0 Operation 0 on Machine 4 : 358 + 445 -> 803
Job 7 Operation 2 on Machine 7 : 358 + 212 -> 570
Job 1 Operation 2 on Machine 1 : 486 + 34 -> 520
Job 3 Operation 4 on Machine 5 : 511 + 383 -> 894
Job 1 Operation 3 on Machine 8 : 520 + 91 -> 611
Job 5 Operation 1 on Machine 0 : 539 + 210 -> 749
Job 6 Operation 2 on Machine 2 : 539 + 188 -> 727
Job 7 Operation 3 on Machine 3 : 570 + 296 -> 866
Job 8 Operation 2 on Machine 7 : 570 + 56 -> 626
Job 4 Operation 2 on Machine 7 : 626 + 310 -> 936
Job 2 Operation 2 on Machine 2 : 727 + 400 -> 1127
Job 8 Operation 3 on Machine 0 : 749 + 124 -> 873
Job 5 Operation 2 on Machine 6 : 749 + 171 -> 920
Job 6 Operation 3 on Machine 3 : 866 + 372 -> 1238
Job 7 Operation 4 on Machine 8 : 866 + 20 -> 886
Job 8 Operation 4 on Machine 8 : 886 + 144 -> 1030
Job 5 Operation 3 on Machine 4 : 920 + 129 -> 1049
Job 7 Operation 5 on Machine 6 : 920 + 363 -> 1283
Job 4 Operation 3 on Machine 5 : 936 + 221 -> 1157
Job 1 Operation 4 on Machine 7 : 936 + 443 -> 1379
Job 8 Operation 5 on Machine 4 : 1049 + 339 -> 1388
Job 0 Operation 1 on Machine 2 : 1127 + 152 -> 1279
Job 2 Operation 3 on Machine 3 : 1238 + 290 -> 1528
Job 6 Operation 4 on Machine 5 : 1238 + 425 -> 1663
Job 0 Operation 2 on Machine 8 : 1279 + 218 -> 1497
Job 7 Operation 6 on Machine 1 : 1283 + 12 -> 1295
Job 3 Operation 5 on Machine 6 : 1283 + 396 -> 1679
Job 1 Operation 5 on Machine 0 : 1379 + 101 -> 1480
Job 5 Operation 4 on Machine 7 : 1379 + 367 -> 1746
Job 8 Operation 6 on Machine 1 : 1388 + 107 -> 1495
Job 4 Operation 4 on Machine 1 : 1495 + 361 -> 1856
Job 8 Operation 7 on Machine 2 : 1495 + 389 -> 1884
Job 0 Operation 3 on Machine 0 : 1497 + 221 -> 1718
Job 2 Operation 4 on Machine 8 : 1528 + 378 -> 1906
Job 7 Operation 7 on Machine 5 : 1663 + 292 -> 1955
Job 6 Operation 5 on Machine 6 : 1679 + 347 -> 2026
Job 5 Operation 5 on Machine 3 : 1746 + 192 -> 1938
Job 0 Operation 4 on Machine 7 : 1746 + 269 -> 2015
Job 4 Operation 5 on Machine 0 : 1856 + 45 -> 1901
Job 3 Operation 6 on Machine 2 : 1884 + 9 -> 1893
Job 2 Operation 5 on Machine 0 : 1906 + 267 -> 2173
Job 4 Operation 6 on Machine 8 : 1906 + 297 -> 2203
Job 5 Operation 6 on Machine 1 : 1938 + 420 -> 2358
Job 3 Operation 7 on Machine 3 : 1938 + 65 -> 2003
Job 8 Operation 8 on Machine 5 : 1955 + 280 -> 2235
Job 0 Operation 5 on Machine 3 : 2015 + 397 -> 2412
Job 3 Operation 8 on Machine 7 : 2015 + 146 -> 2161
Job 6 Operation 6 on Machine 4 : 2026 + 7 -> 2033
Job 1 Operation 6 on Machine 6 : 2026 + 438 -> 2464
Job 6 Operation 7 on Machine 7 : 2161 + 344 -> 2505
Job 7 Operation 8 on Machine 0 : 2173 + 210 -> 2383
Job 2 Operation 6 on Machine 4 : 2173 + 96 -> 2269
Job 4 Operation 7 on Machine 4 : 2269 + 262 -> 2531
Job 2 Operation 7 on Machine 5 : 2269 + 390 -> 2659
Job 5 Operation 7 on Machine 8 : 2358 + 269 -> 2627
Job 0 Operation 6 on Machine 1 : 2412 + 363 -> 2775
Job 1 Operation 7 on Machine 2 : 2464 + 184 -> 2648
Job 6 Operation 8 on Machine 0 : 2505 + 375 -> 2880
Job 4 Operation 8 on Machine 2 : 2648 + 290 -> 2938
Job 1 Operation 8 on Machine 3 : 2648 + 345 -> 2993
Job 5 Operation 8 on Machine 5 : 2659 + 126 -> 2785
Job 2 Operation 8 on Machine 6 : 2659 + 252 -> 2911
Job 0 Operation 7 on Machine 5 : 2785 + 244 -> 3029
Job 0 Operation 8 on Machine 6 : 3029 + 69 -> 3098
Makespan: 3098.0, as it is the maximum end completion time of Operation 8 |
4 | 2 | Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 19 mins.
Operation 1 on Machine 1 duration 117 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 213 mins.
Operation 1 on Machine 1 duration 187 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 0 duration 199 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 195 mins.
Operation 1 on Machine 1 duration 44 mins.
| Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 19 mins.
Job 1 Operation 0 duration 213 mins.
Job 3 Operation 0 duration 195 mins.
Job 2 Operation 1 duration 199 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 18 mins.
Job 0 Operation 1 duration 117 mins.
Job 1 Operation 1 duration 187 mins.
Job 3 Operation 1 duration 44 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 213 -> 213
Job 2 Operation 0 on Machine 1 : 0 + 18 -> 18
Job 0 Operation 0 on Machine 0 : 213 + 19 -> 232
Job 1 Operation 1 on Machine 1 : 213 + 187 -> 400
Job 3 Operation 0 on Machine 0 : 232 + 195 -> 427
Job 0 Operation 1 on Machine 1 : 400 + 117 -> 517
Job 2 Operation 1 on Machine 0 : 427 + 199 -> 626
Job 3 Operation 1 on Machine 1 : 517 + 44 -> 561
Makespan: 626.0, as it is the maximum end completion time of Operation 1 |
9 | 6 | Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 140 mins.
Operation 1 on Machine 1 duration 116 mins.
Operation 2 on Machine 0 duration 61 mins.
Operation 3 on Machine 2 duration 319 mins.
Operation 4 on Machine 4 duration 19 mins.
Operation 5 on Machine 5 duration 90 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 101 mins.
Operation 1 on Machine 5 duration 264 mins.
Operation 2 on Machine 0 duration 22 mins.
Operation 3 on Machine 1 duration 144 mins.
Operation 4 on Machine 3 duration 68 mins.
Operation 5 on Machine 2 duration 66 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 112 mins.
Operation 1 on Machine 1 duration 315 mins.
Operation 2 on Machine 5 duration 200 mins.
Operation 3 on Machine 3 duration 75 mins.
Operation 4 on Machine 2 duration 296 mins.
Operation 5 on Machine 4 duration 37 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 120 mins.
Operation 1 on Machine 5 duration 121 mins.
Operation 2 on Machine 0 duration 290 mins.
Operation 3 on Machine 4 duration 171 mins.
Operation 4 on Machine 1 duration 307 mins.
Operation 5 on Machine 3 duration 97 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 340 mins.
Operation 1 on Machine 5 duration 137 mins.
Operation 2 on Machine 4 duration 192 mins.
Operation 3 on Machine 3 duration 112 mins.
Operation 4 on Machine 0 duration 195 mins.
Operation 5 on Machine 1 duration 60 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 336 mins.
Operation 1 on Machine 0 duration 49 mins.
Operation 2 on Machine 1 duration 204 mins.
Operation 3 on Machine 4 duration 299 mins.
Operation 4 on Machine 5 duration 31 mins.
Operation 5 on Machine 3 duration 338 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 305 mins.
Operation 1 on Machine 0 duration 28 mins.
Operation 2 on Machine 2 duration 280 mins.
Operation 3 on Machine 4 duration 17 mins.
Operation 4 on Machine 1 duration 183 mins.
Operation 5 on Machine 3 duration 27 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 276 mins.
Operation 1 on Machine 2 duration 118 mins.
Operation 2 on Machine 1 duration 122 mins.
Operation 3 on Machine 3 duration 276 mins.
Operation 4 on Machine 4 duration 326 mins.
Operation 5 on Machine 5 duration 318 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 12 mins.
Operation 1 on Machine 2 duration 103 mins.
Operation 2 on Machine 1 duration 306 mins.
Operation 3 on Machine 0 duration 97 mins.
Operation 4 on Machine 5 duration 331 mins.
Operation 5 on Machine 3 duration 329 mins.
| Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 112 mins.
Job 7 Operation 0 duration 276 mins.
Job 5 Operation 1 duration 49 mins.
Job 6 Operation 1 duration 28 mins.
Job 0 Operation 2 duration 61 mins.
Job 1 Operation 2 duration 22 mins.
Job 3 Operation 2 duration 290 mins.
Job 8 Operation 3 duration 97 mins.
Job 4 Operation 4 duration 195 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 116 mins.
Job 2 Operation 1 duration 315 mins.
Job 5 Operation 2 duration 204 mins.
Job 7 Operation 2 duration 122 mins.
Job 8 Operation 2 duration 306 mins.
Job 1 Operation 3 duration 144 mins.
Job 3 Operation 4 duration 307 mins.
Job 6 Operation 4 duration 183 mins.
Job 4 Operation 5 duration 60 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 120 mins.
Job 4 Operation 0 duration 340 mins.
Job 5 Operation 0 duration 336 mins.
Job 7 Operation 1 duration 118 mins.
Job 8 Operation 1 duration 103 mins.
Job 6 Operation 2 duration 280 mins.
Job 0 Operation 3 duration 319 mins.
Job 2 Operation 4 duration 296 mins.
Job 1 Operation 5 duration 66 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 140 mins.
Job 2 Operation 3 duration 75 mins.
Job 4 Operation 3 duration 112 mins.
Job 7 Operation 3 duration 276 mins.
Job 1 Operation 4 duration 68 mins.
Job 3 Operation 5 duration 97 mins.
Job 5 Operation 5 duration 338 mins.
Job 6 Operation 5 duration 27 mins.
Job 8 Operation 5 duration 329 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 101 mins.
Job 8 Operation 0 duration 12 mins.
Job 4 Operation 2 duration 192 mins.
Job 3 Operation 3 duration 171 mins.
Job 5 Operation 3 duration 299 mins.
Job 6 Operation 3 duration 17 mins.
Job 0 Operation 4 duration 19 mins.
Job 7 Operation 4 duration 326 mins.
Job 2 Operation 5 duration 37 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 305 mins.
Job 1 Operation 1 duration 264 mins.
Job 3 Operation 1 duration 121 mins.
Job 4 Operation 1 duration 137 mins.
Job 2 Operation 2 duration 200 mins.
Job 5 Operation 4 duration 31 mins.
Job 8 Operation 4 duration 331 mins.
Job 0 Operation 5 duration 90 mins.
Job 7 Operation 5 duration 318 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 112 -> 112
Job 5 Operation 0 on Machine 2 : 0 + 336 -> 336
Job 0 Operation 0 on Machine 3 : 0 + 140 -> 140
Job 8 Operation 0 on Machine 4 : 0 + 12 -> 12
Job 6 Operation 0 on Machine 5 : 0 + 305 -> 305
Job 1 Operation 0 on Machine 4 : 12 + 101 -> 113
Job 7 Operation 0 on Machine 0 : 112 + 276 -> 388
Job 2 Operation 1 on Machine 1 : 112 + 315 -> 427
Job 3 Operation 0 on Machine 2 : 336 + 120 -> 456
Job 5 Operation 1 on Machine 0 : 388 + 49 -> 437
Job 2 Operation 2 on Machine 5 : 427 + 200 -> 627
Job 6 Operation 1 on Machine 0 : 437 + 28 -> 465
Job 5 Operation 2 on Machine 1 : 437 + 204 -> 641
Job 7 Operation 1 on Machine 2 : 456 + 118 -> 574
Job 8 Operation 1 on Machine 2 : 574 + 103 -> 677
Job 2 Operation 3 on Machine 3 : 627 + 75 -> 702
Job 3 Operation 1 on Machine 5 : 627 + 121 -> 748
Job 7 Operation 2 on Machine 1 : 641 + 122 -> 763
Job 5 Operation 3 on Machine 4 : 641 + 299 -> 940
Job 4 Operation 0 on Machine 2 : 677 + 340 -> 1017
Job 3 Operation 2 on Machine 0 : 748 + 290 -> 1038
Job 1 Operation 1 on Machine 5 : 748 + 264 -> 1012
Job 0 Operation 1 on Machine 1 : 763 + 116 -> 879
Job 7 Operation 3 on Machine 3 : 763 + 276 -> 1039
Job 8 Operation 2 on Machine 1 : 879 + 306 -> 1185
Job 5 Operation 4 on Machine 5 : 1012 + 31 -> 1043
Job 0 Operation 2 on Machine 0 : 1038 + 61 -> 1099
Job 3 Operation 3 on Machine 4 : 1038 + 171 -> 1209
Job 5 Operation 5 on Machine 3 : 1043 + 338 -> 1381
Job 4 Operation 1 on Machine 5 : 1043 + 137 -> 1180
Job 1 Operation 2 on Machine 0 : 1099 + 22 -> 1121
Job 0 Operation 3 on Machine 2 : 1099 + 319 -> 1418
Job 8 Operation 3 on Machine 0 : 1185 + 97 -> 1282
Job 1 Operation 3 on Machine 1 : 1185 + 144 -> 1329
Job 4 Operation 2 on Machine 4 : 1209 + 192 -> 1401
Job 8 Operation 4 on Machine 5 : 1282 + 331 -> 1613
Job 3 Operation 4 on Machine 1 : 1329 + 307 -> 1636
Job 1 Operation 4 on Machine 3 : 1381 + 68 -> 1449
Job 6 Operation 2 on Machine 2 : 1418 + 280 -> 1698
Job 0 Operation 4 on Machine 4 : 1418 + 19 -> 1437
Job 7 Operation 4 on Machine 4 : 1437 + 326 -> 1763
Job 4 Operation 3 on Machine 3 : 1449 + 112 -> 1561
Job 4 Operation 4 on Machine 0 : 1561 + 195 -> 1756
Job 8 Operation 5 on Machine 3 : 1613 + 329 -> 1942
Job 0 Operation 5 on Machine 5 : 1613 + 90 -> 1703
Job 2 Operation 4 on Machine 2 : 1698 + 296 -> 1994
Job 6 Operation 3 on Machine 4 : 1763 + 17 -> 1780
Job 7 Operation 5 on Machine 5 : 1763 + 318 -> 2081
Job 6 Operation 4 on Machine 1 : 1780 + 183 -> 1963
Job 3 Operation 5 on Machine 3 : 1942 + 97 -> 2039
Job 4 Operation 5 on Machine 1 : 1963 + 60 -> 2023
Job 1 Operation 5 on Machine 2 : 1994 + 66 -> 2060
Job 2 Operation 5 on Machine 4 : 1994 + 37 -> 2031
Job 6 Operation 5 on Machine 3 : 2039 + 27 -> 2066
Makespan: 2081.0, as it is the maximum end completion time of Operation 5 |
10 | 6 | Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 335 mins.
Operation 1 on Machine 5 duration 371 mins.
Operation 2 on Machine 3 duration 287 mins.
Operation 3 on Machine 1 duration 24 mins.
Operation 4 on Machine 0 duration 313 mins.
Operation 5 on Machine 2 duration 426 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 221 mins.
Operation 1 on Machine 5 duration 275 mins.
Operation 2 on Machine 1 duration 118 mins.
Operation 3 on Machine 2 duration 432 mins.
Operation 4 on Machine 0 duration 8 mins.
Operation 5 on Machine 3 duration 44 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 83 mins.
Operation 1 on Machine 0 duration 15 mins.
Operation 2 on Machine 1 duration 137 mins.
Operation 3 on Machine 4 duration 248 mins.
Operation 4 on Machine 3 duration 68 mins.
Operation 5 on Machine 2 duration 459 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 227 mins.
Operation 1 on Machine 4 duration 452 mins.
Operation 2 on Machine 1 duration 290 mins.
Operation 3 on Machine 2 duration 223 mins.
Operation 4 on Machine 5 duration 169 mins.
Operation 5 on Machine 3 duration 187 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 355 mins.
Operation 1 on Machine 4 duration 244 mins.
Operation 2 on Machine 0 duration 349 mins.
Operation 3 on Machine 5 duration 35 mins.
Operation 4 on Machine 2 duration 60 mins.
Operation 5 on Machine 1 duration 469 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 87 mins.
Operation 1 on Machine 5 duration 38 mins.
Operation 2 on Machine 3 duration 72 mins.
Operation 3 on Machine 2 duration 325 mins.
Operation 4 on Machine 1 duration 89 mins.
Operation 5 on Machine 0 duration 382 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 230 mins.
Operation 1 on Machine 1 duration 71 mins.
Operation 2 on Machine 4 duration 41 mins.
Operation 3 on Machine 2 duration 189 mins.
Operation 4 on Machine 3 duration 330 mins.
Operation 5 on Machine 5 duration 390 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 239 mins.
Operation 1 on Machine 5 duration 342 mins.
Operation 2 on Machine 0 duration 159 mins.
Operation 3 on Machine 1 duration 46 mins.
Operation 4 on Machine 4 duration 423 mins.
Operation 5 on Machine 2 duration 408 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 60 mins.
Operation 1 on Machine 3 duration 99 mins.
Operation 2 on Machine 5 duration 260 mins.
Operation 3 on Machine 1 duration 60 mins.
Operation 4 on Machine 2 duration 440 mins.
Operation 5 on Machine 0 duration 114 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 141 mins.
Operation 1 on Machine 5 duration 119 mins.
Operation 2 on Machine 4 duration 10 mins.
Operation 3 on Machine 2 duration 300 mins.
Operation 4 on Machine 0 duration 103 mins.
Operation 5 on Machine 1 duration 393 mins.
| Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 227 mins.
Job 6 Operation 0 duration 230 mins.
Job 2 Operation 1 duration 15 mins.
Job 4 Operation 2 duration 349 mins.
Job 7 Operation 2 duration 159 mins.
Job 0 Operation 4 duration 313 mins.
Job 1 Operation 4 duration 8 mins.
Job 9 Operation 4 duration 103 mins.
Job 5 Operation 5 duration 382 mins.
Job 8 Operation 5 duration 114 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 1 duration 71 mins.
Job 1 Operation 2 duration 118 mins.
Job 2 Operation 2 duration 137 mins.
Job 3 Operation 2 duration 290 mins.
Job 0 Operation 3 duration 24 mins.
Job 7 Operation 3 duration 46 mins.
Job 8 Operation 3 duration 60 mins.
Job 5 Operation 4 duration 89 mins.
Job 4 Operation 5 duration 469 mins.
Job 9 Operation 5 duration 393 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 3 duration 432 mins.
Job 3 Operation 3 duration 223 mins.
Job 5 Operation 3 duration 325 mins.
Job 6 Operation 3 duration 189 mins.
Job 9 Operation 3 duration 300 mins.
Job 4 Operation 4 duration 60 mins.
Job 8 Operation 4 duration 440 mins.
Job 0 Operation 5 duration 426 mins.
Job 2 Operation 5 duration 459 mins.
Job 7 Operation 5 duration 408 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 355 mins.
Job 7 Operation 0 duration 239 mins.
Job 9 Operation 0 duration 141 mins.
Job 8 Operation 1 duration 99 mins.
Job 0 Operation 2 duration 287 mins.
Job 5 Operation 2 duration 72 mins.
Job 2 Operation 4 duration 68 mins.
Job 6 Operation 4 duration 330 mins.
Job 1 Operation 5 duration 44 mins.
Job 3 Operation 5 duration 187 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 335 mins.
Job 1 Operation 0 duration 221 mins.
Job 5 Operation 0 duration 87 mins.
Job 8 Operation 0 duration 60 mins.
Job 3 Operation 1 duration 452 mins.
Job 4 Operation 1 duration 244 mins.
Job 6 Operation 2 duration 41 mins.
Job 9 Operation 2 duration 10 mins.
Job 2 Operation 3 duration 248 mins.
Job 7 Operation 4 duration 423 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 83 mins.
Job 0 Operation 1 duration 371 mins.
Job 1 Operation 1 duration 275 mins.
Job 5 Operation 1 duration 38 mins.
Job 7 Operation 1 duration 342 mins.
Job 9 Operation 1 duration 119 mins.
Job 8 Operation 2 duration 260 mins.
Job 4 Operation 3 duration 35 mins.
Job 3 Operation 4 duration 169 mins.
Job 6 Operation 5 duration 390 mins.
| Solution:
Job 5 Operation 0 on Machine 4 : 0 + 87 -> 87
Job 2 Operation 0 on Machine 5 : 0 + 83 -> 83
Job 2 Operation 1 on Machine 0 : 83 + 15 -> 98
Job 8 Operation 0 on Machine 4 : 87 + 60 -> 147
Job 5 Operation 1 on Machine 5 : 87 + 38 -> 125
Job 6 Operation 0 on Machine 0 : 98 + 230 -> 328
Job 2 Operation 2 on Machine 1 : 98 + 137 -> 235
Job 5 Operation 2 on Machine 3 : 125 + 72 -> 197
Job 5 Operation 3 on Machine 2 : 197 + 325 -> 522
Job 9 Operation 0 on Machine 3 : 197 + 141 -> 338
Job 2 Operation 3 on Machine 4 : 235 + 248 -> 483
Job 3 Operation 0 on Machine 0 : 328 + 227 -> 555
Job 6 Operation 1 on Machine 1 : 328 + 71 -> 399
Job 8 Operation 1 on Machine 3 : 338 + 99 -> 437
Job 9 Operation 1 on Machine 5 : 338 + 119 -> 457
Job 8 Operation 2 on Machine 5 : 457 + 260 -> 717
Job 2 Operation 4 on Machine 3 : 483 + 68 -> 551
Job 9 Operation 2 on Machine 4 : 483 + 10 -> 493
Job 1 Operation 0 on Machine 4 : 493 + 221 -> 714
Job 5 Operation 4 on Machine 1 : 522 + 89 -> 611
Job 9 Operation 3 on Machine 2 : 522 + 300 -> 822
Job 4 Operation 0 on Machine 3 : 551 + 355 -> 906
Job 5 Operation 5 on Machine 0 : 611 + 382 -> 993
Job 3 Operation 1 on Machine 4 : 714 + 452 -> 1166
Job 8 Operation 3 on Machine 1 : 717 + 60 -> 777
Job 1 Operation 1 on Machine 5 : 717 + 275 -> 992
Job 8 Operation 4 on Machine 2 : 822 + 440 -> 1262
Job 7 Operation 0 on Machine 3 : 906 + 239 -> 1145
Job 1 Operation 2 on Machine 1 : 992 + 118 -> 1110
Job 7 Operation 1 on Machine 5 : 1145 + 342 -> 1487
Job 3 Operation 2 on Machine 1 : 1166 + 290 -> 1456
Job 6 Operation 2 on Machine 4 : 1166 + 41 -> 1207
Job 4 Operation 1 on Machine 4 : 1207 + 244 -> 1451
Job 8 Operation 5 on Machine 0 : 1262 + 114 -> 1376
Job 6 Operation 3 on Machine 2 : 1262 + 189 -> 1451
Job 4 Operation 2 on Machine 0 : 1451 + 349 -> 1800
Job 1 Operation 3 on Machine 2 : 1451 + 432 -> 1883
Job 6 Operation 4 on Machine 3 : 1451 + 330 -> 1781
Job 0 Operation 0 on Machine 4 : 1451 + 335 -> 1786
Job 4 Operation 3 on Machine 5 : 1800 + 35 -> 1835
Job 0 Operation 1 on Machine 5 : 1835 + 371 -> 2206
Job 1 Operation 4 on Machine 0 : 1883 + 8 -> 1891
Job 3 Operation 3 on Machine 2 : 1883 + 223 -> 2106
Job 7 Operation 2 on Machine 0 : 1891 + 159 -> 2050
Job 1 Operation 5 on Machine 3 : 1891 + 44 -> 1935
Job 9 Operation 4 on Machine 0 : 2050 + 103 -> 2153
Job 7 Operation 3 on Machine 1 : 2050 + 46 -> 2096
Job 7 Operation 4 on Machine 4 : 2096 + 423 -> 2519
Job 4 Operation 4 on Machine 2 : 2106 + 60 -> 2166
Job 9 Operation 5 on Machine 1 : 2153 + 393 -> 2546
Job 2 Operation 5 on Machine 2 : 2166 + 459 -> 2625
Job 0 Operation 2 on Machine 3 : 2206 + 287 -> 2493
Job 3 Operation 4 on Machine 5 : 2206 + 169 -> 2375
Job 6 Operation 5 on Machine 5 : 2375 + 390 -> 2765
Job 3 Operation 5 on Machine 3 : 2493 + 187 -> 2680
Job 0 Operation 3 on Machine 1 : 2546 + 24 -> 2570
Job 0 Operation 4 on Machine 0 : 2570 + 313 -> 2883
Job 4 Operation 5 on Machine 1 : 2570 + 469 -> 3039
Job 7 Operation 5 on Machine 2 : 2625 + 408 -> 3033
Job 0 Operation 5 on Machine 2 : 3033 + 426 -> 3459
Makespan: 3459.0, as it is the maximum end completion time of Operation 5 |
3 | 3 | Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 42 mins.
Operation 1 on Machine 0 duration 38 mins.
Operation 2 on Machine 1 duration 12 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 21 mins.
Operation 1 on Machine 2 duration 23 mins.
Operation 2 on Machine 0 duration 25 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 11 mins.
Operation 1 on Machine 1 duration 44 mins.
Operation 2 on Machine 0 duration 64 mins.
| Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 38 mins.
Job 1 Operation 2 duration 25 mins.
Job 2 Operation 2 duration 64 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 21 mins.
Job 2 Operation 1 duration 44 mins.
Job 0 Operation 2 duration 12 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 42 mins.
Job 2 Operation 0 duration 11 mins.
Job 1 Operation 1 duration 23 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 21 -> 21
Job 0 Operation 0 on Machine 2 : 0 + 42 -> 42
Job 0 Operation 1 on Machine 0 : 42 + 38 -> 80
Job 2 Operation 0 on Machine 2 : 42 + 11 -> 53
Job 2 Operation 1 on Machine 1 : 53 + 44 -> 97
Job 1 Operation 1 on Machine 2 : 53 + 23 -> 76
Job 1 Operation 2 on Machine 0 : 80 + 25 -> 105
Job 0 Operation 2 on Machine 1 : 97 + 12 -> 109
Job 2 Operation 2 on Machine 0 : 105 + 64 -> 169
Makespan: 169.0, as it is the maximum end completion time of Operation 2 |
10 | 7 | Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 11 mins.
Operation 1 on Machine 3 duration 243 mins.
Operation 2 on Machine 5 duration 64 mins.
Operation 3 on Machine 2 duration 139 mins.
Operation 4 on Machine 6 duration 71 mins.
Operation 5 on Machine 1 duration 55 mins.
Operation 6 on Machine 4 duration 223 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 261 mins.
Operation 1 on Machine 2 duration 50 mins.
Operation 2 on Machine 4 duration 38 mins.
Operation 3 on Machine 0 duration 35 mins.
Operation 4 on Machine 3 duration 31 mins.
Operation 5 on Machine 6 duration 234 mins.
Operation 6 on Machine 1 duration 169 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 214 mins.
Operation 1 on Machine 1 duration 121 mins.
Operation 2 on Machine 4 duration 170 mins.
Operation 3 on Machine 6 duration 192 mins.
Operation 4 on Machine 0 duration 137 mins.
Operation 5 on Machine 3 duration 68 mins.
Operation 6 on Machine 2 duration 201 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 77 mins.
Operation 1 on Machine 4 duration 128 mins.
Operation 2 on Machine 2 duration 21 mins.
Operation 3 on Machine 1 duration 29 mins.
Operation 4 on Machine 5 duration 111 mins.
Operation 5 on Machine 0 duration 79 mins.
Operation 6 on Machine 3 duration 268 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 184 mins.
Operation 1 on Machine 5 duration 49 mins.
Operation 2 on Machine 2 duration 249 mins.
Operation 3 on Machine 0 duration 14 mins.
Operation 4 on Machine 1 duration 141 mins.
Operation 5 on Machine 3 duration 160 mins.
Operation 6 on Machine 4 duration 117 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 95 mins.
Operation 1 on Machine 2 duration 201 mins.
Operation 2 on Machine 5 duration 174 mins.
Operation 3 on Machine 4 duration 102 mins.
Operation 4 on Machine 0 duration 187 mins.
Operation 5 on Machine 6 duration 27 mins.
Operation 6 on Machine 3 duration 182 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 5 duration 8 mins.
Operation 2 on Machine 3 duration 165 mins.
Operation 3 on Machine 6 duration 148 mins.
Operation 4 on Machine 0 duration 165 mins.
Operation 5 on Machine 2 duration 117 mins.
Operation 6 on Machine 4 duration 110 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 172 mins.
Operation 1 on Machine 2 duration 5 mins.
Operation 2 on Machine 5 duration 186 mins.
Operation 3 on Machine 4 duration 52 mins.
Operation 4 on Machine 1 duration 16 mins.
Operation 5 on Machine 3 duration 249 mins.
Operation 6 on Machine 6 duration 55 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 244 mins.
Operation 1 on Machine 3 duration 81 mins.
Operation 2 on Machine 6 duration 145 mins.
Operation 3 on Machine 1 duration 82 mins.
Operation 4 on Machine 0 duration 181 mins.
Operation 5 on Machine 5 duration 161 mins.
Operation 6 on Machine 2 duration 26 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 146 mins.
Operation 1 on Machine 6 duration 196 mins.
Operation 2 on Machine 0 duration 159 mins.
Operation 3 on Machine 2 duration 143 mins.
Operation 4 on Machine 5 duration 180 mins.
Operation 5 on Machine 1 duration 84 mins.
Operation 6 on Machine 3 duration 271 mins.
| Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 11 mins.
Job 7 Operation 0 duration 172 mins.
Job 9 Operation 2 duration 159 mins.
Job 1 Operation 3 duration 35 mins.
Job 4 Operation 3 duration 14 mins.
Job 2 Operation 4 duration 137 mins.
Job 5 Operation 4 duration 187 mins.
Job 6 Operation 4 duration 165 mins.
Job 8 Operation 4 duration 181 mins.
Job 3 Operation 5 duration 79 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 95 mins.
Job 6 Operation 0 duration 44 mins.
Job 2 Operation 1 duration 121 mins.
Job 3 Operation 3 duration 29 mins.
Job 8 Operation 3 duration 82 mins.
Job 4 Operation 4 duration 141 mins.
Job 7 Operation 4 duration 16 mins.
Job 0 Operation 5 duration 55 mins.
Job 9 Operation 5 duration 84 mins.
Job 1 Operation 6 duration 169 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 50 mins.
Job 5 Operation 1 duration 201 mins.
Job 7 Operation 1 duration 5 mins.
Job 3 Operation 2 duration 21 mins.
Job 4 Operation 2 duration 249 mins.
Job 0 Operation 3 duration 139 mins.
Job 9 Operation 3 duration 143 mins.
Job 6 Operation 5 duration 117 mins.
Job 2 Operation 6 duration 201 mins.
Job 8 Operation 6 duration 26 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 243 mins.
Job 8 Operation 1 duration 81 mins.
Job 6 Operation 2 duration 165 mins.
Job 1 Operation 4 duration 31 mins.
Job 2 Operation 5 duration 68 mins.
Job 4 Operation 5 duration 160 mins.
Job 7 Operation 5 duration 249 mins.
Job 3 Operation 6 duration 268 mins.
Job 5 Operation 6 duration 182 mins.
Job 9 Operation 6 duration 271 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 244 mins.
Job 9 Operation 0 duration 146 mins.
Job 3 Operation 1 duration 128 mins.
Job 1 Operation 2 duration 38 mins.
Job 2 Operation 2 duration 170 mins.
Job 5 Operation 3 duration 102 mins.
Job 7 Operation 3 duration 52 mins.
Job 0 Operation 6 duration 223 mins.
Job 4 Operation 6 duration 117 mins.
Job 6 Operation 6 duration 110 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 261 mins.
Job 2 Operation 0 duration 214 mins.
Job 4 Operation 1 duration 49 mins.
Job 6 Operation 1 duration 8 mins.
Job 0 Operation 2 duration 64 mins.
Job 5 Operation 2 duration 174 mins.
Job 7 Operation 2 duration 186 mins.
Job 3 Operation 4 duration 111 mins.
Job 9 Operation 4 duration 180 mins.
Job 8 Operation 5 duration 161 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 77 mins.
Job 4 Operation 0 duration 184 mins.
Job 9 Operation 1 duration 196 mins.
Job 8 Operation 2 duration 145 mins.
Job 2 Operation 3 duration 192 mins.
Job 6 Operation 3 duration 148 mins.
Job 0 Operation 4 duration 71 mins.
Job 1 Operation 5 duration 234 mins.
Job 5 Operation 5 duration 27 mins.
Job 7 Operation 6 duration 55 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 11 -> 11
Job 6 Operation 0 on Machine 1 : 0 + 44 -> 44
Job 9 Operation 0 on Machine 4 : 0 + 146 -> 146
Job 2 Operation 0 on Machine 5 : 0 + 214 -> 214
Job 4 Operation 0 on Machine 6 : 0 + 184 -> 184
Job 7 Operation 0 on Machine 0 : 11 + 172 -> 183
Job 0 Operation 1 on Machine 3 : 11 + 243 -> 254
Job 5 Operation 0 on Machine 1 : 44 + 95 -> 139
Job 8 Operation 0 on Machine 4 : 146 + 244 -> 390
Job 7 Operation 1 on Machine 2 : 183 + 5 -> 188
Job 9 Operation 1 on Machine 6 : 184 + 196 -> 380
Job 2 Operation 1 on Machine 1 : 214 + 121 -> 335
Job 6 Operation 1 on Machine 5 : 214 + 8 -> 222
Job 4 Operation 1 on Machine 5 : 222 + 49 -> 271
Job 6 Operation 2 on Machine 3 : 254 + 165 -> 419
Job 4 Operation 2 on Machine 2 : 271 + 249 -> 520
Job 7 Operation 2 on Machine 5 : 271 + 186 -> 457
Job 9 Operation 2 on Machine 0 : 380 + 159 -> 539
Job 3 Operation 0 on Machine 6 : 380 + 77 -> 457
Job 8 Operation 1 on Machine 3 : 419 + 81 -> 500
Job 7 Operation 3 on Machine 4 : 457 + 52 -> 509
Job 1 Operation 0 on Machine 5 : 457 + 261 -> 718
Job 6 Operation 3 on Machine 6 : 457 + 148 -> 605
Job 7 Operation 4 on Machine 1 : 509 + 16 -> 525
Job 3 Operation 1 on Machine 4 : 509 + 128 -> 637
Job 7 Operation 5 on Machine 3 : 525 + 249 -> 774
Job 4 Operation 3 on Machine 0 : 539 + 14 -> 553
Job 9 Operation 3 on Machine 2 : 539 + 143 -> 682
Job 4 Operation 4 on Machine 1 : 553 + 141 -> 694
Job 6 Operation 4 on Machine 0 : 605 + 165 -> 770
Job 8 Operation 2 on Machine 6 : 605 + 145 -> 750
Job 2 Operation 2 on Machine 4 : 637 + 170 -> 807
Job 3 Operation 2 on Machine 2 : 682 + 21 -> 703
Job 3 Operation 3 on Machine 1 : 703 + 29 -> 732
Job 1 Operation 1 on Machine 2 : 718 + 50 -> 768
Job 3 Operation 4 on Machine 5 : 732 + 111 -> 843
Job 8 Operation 3 on Machine 1 : 750 + 82 -> 832
Job 5 Operation 1 on Machine 2 : 768 + 201 -> 969
Job 4 Operation 5 on Machine 3 : 774 + 160 -> 934
Job 1 Operation 2 on Machine 4 : 807 + 38 -> 845
Job 2 Operation 3 on Machine 6 : 807 + 192 -> 999
Job 9 Operation 4 on Machine 5 : 843 + 180 -> 1023
Job 1 Operation 3 on Machine 0 : 845 + 35 -> 880
Job 3 Operation 5 on Machine 0 : 880 + 79 -> 959
Job 1 Operation 4 on Machine 3 : 934 + 31 -> 965
Job 3 Operation 6 on Machine 3 : 965 + 268 -> 1233
Job 6 Operation 5 on Machine 2 : 969 + 117 -> 1086
Job 2 Operation 4 on Machine 0 : 999 + 137 -> 1136
Job 1 Operation 5 on Machine 6 : 999 + 234 -> 1233
Job 9 Operation 5 on Machine 1 : 1023 + 84 -> 1107
Job 5 Operation 2 on Machine 5 : 1023 + 174 -> 1197
Job 6 Operation 6 on Machine 4 : 1086 + 110 -> 1196
Job 8 Operation 4 on Machine 0 : 1136 + 181 -> 1317
Job 5 Operation 3 on Machine 4 : 1197 + 102 -> 1299
Job 0 Operation 2 on Machine 5 : 1197 + 64 -> 1261
Job 1 Operation 6 on Machine 1 : 1233 + 169 -> 1402
Job 2 Operation 5 on Machine 3 : 1233 + 68 -> 1301
Job 7 Operation 6 on Machine 6 : 1233 + 55 -> 1288
Job 0 Operation 3 on Machine 2 : 1261 + 139 -> 1400
Job 4 Operation 6 on Machine 4 : 1299 + 117 -> 1416
Job 9 Operation 6 on Machine 3 : 1301 + 271 -> 1572
Job 5 Operation 4 on Machine 0 : 1317 + 187 -> 1504
Job 8 Operation 5 on Machine 5 : 1317 + 161 -> 1478
Job 2 Operation 6 on Machine 2 : 1400 + 201 -> 1601
Job 0 Operation 4 on Machine 6 : 1400 + 71 -> 1471
Job 0 Operation 5 on Machine 1 : 1471 + 55 -> 1526
Job 5 Operation 5 on Machine 6 : 1504 + 27 -> 1531
Job 0 Operation 6 on Machine 4 : 1526 + 223 -> 1749
Job 5 Operation 6 on Machine 3 : 1572 + 182 -> 1754
Job 8 Operation 6 on Machine 2 : 1601 + 26 -> 1627
Makespan: 1754.0, as it is the maximum end completion time of Operation 6 |
15 | 10 | Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 57 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 0 duration 52 mins.
Operation 3 on Machine 6 duration 146 mins.
Operation 4 on Machine 7 duration 114 mins.
Operation 5 on Machine 2 duration 112 mins.
Operation 6 on Machine 5 duration 131 mins.
Operation 7 on Machine 3 duration 154 mins.
Operation 8 on Machine 8 duration 38 mins.
Operation 9 on Machine 9 duration 42 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 158 mins.
Operation 1 on Machine 8 duration 43 mins.
Operation 2 on Machine 1 duration 41 mins.
Operation 3 on Machine 7 duration 27 mins.
Operation 4 on Machine 5 duration 111 mins.
Operation 5 on Machine 4 duration 54 mins.
Operation 6 on Machine 3 duration 91 mins.
Operation 7 on Machine 9 duration 124 mins.
Operation 8 on Machine 0 duration 141 mins.
Operation 9 on Machine 6 duration 175 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 106 mins.
Operation 1 on Machine 6 duration 147 mins.
Operation 2 on Machine 1 duration 123 mins.
Operation 3 on Machine 2 duration 155 mins.
Operation 4 on Machine 3 duration 104 mins.
Operation 5 on Machine 9 duration 172 mins.
Operation 6 on Machine 0 duration 20 mins.
Operation 7 on Machine 5 duration 119 mins.
Operation 8 on Machine 8 duration 119 mins.
Operation 9 on Machine 7 duration 119 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 105 mins.
Operation 1 on Machine 8 duration 144 mins.
Operation 2 on Machine 2 duration 13 mins.
Operation 3 on Machine 6 duration 141 mins.
Operation 4 on Machine 3 duration 83 mins.
Operation 5 on Machine 9 duration 53 mins.
Operation 6 on Machine 4 duration 106 mins.
Operation 7 on Machine 5 duration 131 mins.
Operation 8 on Machine 7 duration 116 mins.
Operation 9 on Machine 1 duration 22 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 26 mins.
Operation 1 on Machine 6 duration 114 mins.
Operation 2 on Machine 7 duration 176 mins.
Operation 3 on Machine 8 duration 10 mins.
Operation 4 on Machine 3 duration 157 mins.
Operation 5 on Machine 1 duration 45 mins.
Operation 6 on Machine 2 duration 159 mins.
Operation 7 on Machine 5 duration 80 mins.
Operation 8 on Machine 9 duration 172 mins.
Operation 9 on Machine 4 duration 56 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 121 mins.
Operation 1 on Machine 0 duration 29 mins.
Operation 2 on Machine 2 duration 97 mins.
Operation 3 on Machine 8 duration 167 mins.
Operation 4 on Machine 3 duration 98 mins.
Operation 5 on Machine 5 duration 174 mins.
Operation 6 on Machine 9 duration 35 mins.
Operation 7 on Machine 1 duration 146 mins.
Operation 8 on Machine 4 duration 10 mins.
Operation 9 on Machine 7 duration 120 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 108 mins.
Operation 1 on Machine 0 duration 172 mins.
Operation 2 on Machine 9 duration 102 mins.
Operation 3 on Machine 8 duration 104 mins.
Operation 4 on Machine 3 duration 74 mins.
Operation 5 on Machine 2 duration 107 mins.
Operation 6 on Machine 1 duration 132 mins.
Operation 7 on Machine 6 duration 95 mins.
Operation 8 on Machine 5 duration 45 mins.
Operation 9 on Machine 4 duration 103 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 47 mins.
Operation 1 on Machine 6 duration 176 mins.
Operation 2 on Machine 4 duration 43 mins.
Operation 3 on Machine 8 duration 64 mins.
Operation 4 on Machine 7 duration 17 mins.
Operation 5 on Machine 1 duration 4 mins.
Operation 6 on Machine 2 duration 122 mins.
Operation 7 on Machine 5 duration 59 mins.
Operation 8 on Machine 3 duration 22 mins.
Operation 9 on Machine 9 duration 99 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 180 mins.
Operation 1 on Machine 5 duration 43 mins.
Operation 2 on Machine 7 duration 150 mins.
Operation 3 on Machine 8 duration 47 mins.
Operation 4 on Machine 3 duration 28 mins.
Operation 5 on Machine 9 duration 126 mins.
Operation 6 on Machine 0 duration 3 mins.
Operation 7 on Machine 2 duration 58 mins.
Operation 8 on Machine 6 duration 172 mins.
Operation 9 on Machine 1 duration 52 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 155 mins.
Operation 1 on Machine 3 duration 162 mins.
Operation 2 on Machine 7 duration 151 mins.
Operation 3 on Machine 9 duration 56 mins.
Operation 4 on Machine 2 duration 176 mins.
Operation 5 on Machine 5 duration 77 mins.
Operation 6 on Machine 0 duration 48 mins.
Operation 7 on Machine 8 duration 148 mins.
Operation 8 on Machine 6 duration 49 mins.
Operation 9 on Machine 4 duration 96 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 6 duration 54 mins.
Operation 1 on Machine 7 duration 34 mins.
Operation 2 on Machine 9 duration 133 mins.
Operation 3 on Machine 3 duration 177 mins.
Operation 4 on Machine 4 duration 88 mins.
Operation 5 on Machine 1 duration 26 mins.
Operation 6 on Machine 2 duration 95 mins.
Operation 7 on Machine 8 duration 139 mins.
Operation 8 on Machine 5 duration 161 mins.
Operation 9 on Machine 0 duration 117 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 2 duration 49 mins.
Operation 1 on Machine 5 duration 85 mins.
Operation 2 on Machine 1 duration 6 mins.
Operation 3 on Machine 3 duration 28 mins.
Operation 4 on Machine 8 duration 6 mins.
Operation 5 on Machine 7 duration 150 mins.
Operation 6 on Machine 0 duration 181 mins.
Operation 7 on Machine 9 duration 40 mins.
Operation 8 on Machine 6 duration 134 mins.
Operation 9 on Machine 4 duration 125 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 6 duration 157 mins.
Operation 1 on Machine 2 duration 18 mins.
Operation 2 on Machine 1 duration 124 mins.
Operation 3 on Machine 0 duration 53 mins.
Operation 4 on Machine 3 duration 164 mins.
Operation 5 on Machine 8 duration 117 mins.
Operation 6 on Machine 9 duration 71 mins.
Operation 7 on Machine 5 duration 90 mins.
Operation 8 on Machine 4 duration 74 mins.
Operation 9 on Machine 7 duration 170 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 3 duration 70 mins.
Operation 1 on Machine 5 duration 152 mins.
Operation 2 on Machine 1 duration 128 mins.
Operation 3 on Machine 8 duration 158 mins.
Operation 4 on Machine 9 duration 157 mins.
Operation 5 on Machine 2 duration 119 mins.
Operation 6 on Machine 4 duration 76 mins.
Operation 7 on Machine 0 duration 44 mins.
Operation 8 on Machine 7 duration 42 mins.
Operation 9 on Machine 6 duration 94 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 7 duration 58 mins.
Operation 1 on Machine 2 duration 82 mins.
Operation 2 on Machine 0 duration 82 mins.
Operation 3 on Machine 1 duration 15 mins.
Operation 4 on Machine 9 duration 64 mins.
Operation 5 on Machine 4 duration 39 mins.
Operation 6 on Machine 3 duration 106 mins.
Operation 7 on Machine 8 duration 118 mins.
Operation 8 on Machine 5 duration 11 mins.
Operation 9 on Machine 6 duration 6 mins.
| Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 105 mins.
Job 4 Operation 0 duration 26 mins.
Job 7 Operation 0 duration 47 mins.
Job 5 Operation 1 duration 29 mins.
Job 6 Operation 1 duration 172 mins.
Job 0 Operation 2 duration 52 mins.
Job 14 Operation 2 duration 82 mins.
Job 12 Operation 3 duration 53 mins.
Job 2 Operation 6 duration 20 mins.
Job 8 Operation 6 duration 3 mins.
Job 9 Operation 6 duration 48 mins.
Job 11 Operation 6 duration 181 mins.
Job 13 Operation 7 duration 44 mins.
Job 1 Operation 8 duration 141 mins.
Job 10 Operation 9 duration 117 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 0 duration 155 mins.
Job 0 Operation 1 duration 13 mins.
Job 1 Operation 2 duration 41 mins.
Job 2 Operation 2 duration 123 mins.
Job 11 Operation 2 duration 6 mins.
Job 12 Operation 2 duration 124 mins.
Job 13 Operation 2 duration 128 mins.
Job 14 Operation 3 duration 15 mins.
Job 4 Operation 5 duration 45 mins.
Job 7 Operation 5 duration 4 mins.
Job 10 Operation 5 duration 26 mins.
Job 6 Operation 6 duration 132 mins.
Job 5 Operation 7 duration 146 mins.
Job 3 Operation 9 duration 22 mins.
Job 8 Operation 9 duration 52 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 158 mins.
Job 11 Operation 0 duration 49 mins.
Job 12 Operation 1 duration 18 mins.
Job 14 Operation 1 duration 82 mins.
Job 3 Operation 2 duration 13 mins.
Job 5 Operation 2 duration 97 mins.
Job 2 Operation 3 duration 155 mins.
Job 9 Operation 4 duration 176 mins.
Job 0 Operation 5 duration 112 mins.
Job 6 Operation 5 duration 107 mins.
Job 13 Operation 5 duration 119 mins.
Job 4 Operation 6 duration 159 mins.
Job 7 Operation 6 duration 122 mins.
Job 10 Operation 6 duration 95 mins.
Job 8 Operation 7 duration 58 mins.
Machine 3 is used for the following Operations:
Job 13 Operation 0 duration 70 mins.
Job 9 Operation 1 duration 162 mins.
Job 10 Operation 3 duration 177 mins.
Job 11 Operation 3 duration 28 mins.
Job 2 Operation 4 duration 104 mins.
Job 3 Operation 4 duration 83 mins.
Job 4 Operation 4 duration 157 mins.
Job 5 Operation 4 duration 98 mins.
Job 6 Operation 4 duration 74 mins.
Job 8 Operation 4 duration 28 mins.
Job 12 Operation 4 duration 164 mins.
Job 1 Operation 6 duration 91 mins.
Job 14 Operation 6 duration 106 mins.
Job 0 Operation 7 duration 154 mins.
Job 7 Operation 8 duration 22 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 57 mins.
Job 2 Operation 0 duration 106 mins.
Job 8 Operation 0 duration 180 mins.
Job 7 Operation 2 duration 43 mins.
Job 10 Operation 4 duration 88 mins.
Job 1 Operation 5 duration 54 mins.
Job 14 Operation 5 duration 39 mins.
Job 3 Operation 6 duration 106 mins.
Job 13 Operation 6 duration 76 mins.
Job 5 Operation 8 duration 10 mins.
Job 12 Operation 8 duration 74 mins.
Job 4 Operation 9 duration 56 mins.
Job 6 Operation 9 duration 103 mins.
Job 9 Operation 9 duration 96 mins.
Job 11 Operation 9 duration 125 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 1 duration 43 mins.
Job 11 Operation 1 duration 85 mins.
Job 13 Operation 1 duration 152 mins.
Job 1 Operation 4 duration 111 mins.
Job 5 Operation 5 duration 174 mins.
Job 9 Operation 5 duration 77 mins.
Job 0 Operation 6 duration 131 mins.
Job 2 Operation 7 duration 119 mins.
Job 3 Operation 7 duration 131 mins.
Job 4 Operation 7 duration 80 mins.
Job 7 Operation 7 duration 59 mins.
Job 12 Operation 7 duration 90 mins.
Job 6 Operation 8 duration 45 mins.
Job 10 Operation 8 duration 161 mins.
Job 14 Operation 8 duration 11 mins.
Machine 6 is used for the following Operations:
Job 5 Operation 0 duration 121 mins.
Job 10 Operation 0 duration 54 mins.
Job 12 Operation 0 duration 157 mins.
Job 2 Operation 1 duration 147 mins.
Job 4 Operation 1 duration 114 mins.
Job 7 Operation 1 duration 176 mins.
Job 0 Operation 3 duration 146 mins.
Job 3 Operation 3 duration 141 mins.
Job 6 Operation 7 duration 95 mins.
Job 8 Operation 8 duration 172 mins.
Job 9 Operation 8 duration 49 mins.
Job 11 Operation 8 duration 134 mins.
Job 1 Operation 9 duration 175 mins.
Job 13 Operation 9 duration 94 mins.
Job 14 Operation 9 duration 6 mins.
Machine 7 is used for the following Operations:
Job 6 Operation 0 duration 108 mins.
Job 14 Operation 0 duration 58 mins.
Job 10 Operation 1 duration 34 mins.
Job 4 Operation 2 duration 176 mins.
Job 8 Operation 2 duration 150 mins.
Job 9 Operation 2 duration 151 mins.
Job 1 Operation 3 duration 27 mins.
Job 0 Operation 4 duration 114 mins.
Job 7 Operation 4 duration 17 mins.
Job 11 Operation 5 duration 150 mins.
Job 3 Operation 8 duration 116 mins.
Job 13 Operation 8 duration 42 mins.
Job 2 Operation 9 duration 119 mins.
Job 5 Operation 9 duration 120 mins.
Job 12 Operation 9 duration 170 mins.
Machine 8 is used for the following Operations:
Job 1 Operation 1 duration 43 mins.
Job 3 Operation 1 duration 144 mins.
Job 4 Operation 3 duration 10 mins.
Job 5 Operation 3 duration 167 mins.
Job 6 Operation 3 duration 104 mins.
Job 7 Operation 3 duration 64 mins.
Job 8 Operation 3 duration 47 mins.
Job 13 Operation 3 duration 158 mins.
Job 11 Operation 4 duration 6 mins.
Job 12 Operation 5 duration 117 mins.
Job 9 Operation 7 duration 148 mins.
Job 10 Operation 7 duration 139 mins.
Job 14 Operation 7 duration 118 mins.
Job 0 Operation 8 duration 38 mins.
Job 2 Operation 8 duration 119 mins.
Machine 9 is used for the following Operations:
Job 6 Operation 2 duration 102 mins.
Job 10 Operation 2 duration 133 mins.
Job 9 Operation 3 duration 56 mins.
Job 13 Operation 4 duration 157 mins.
Job 14 Operation 4 duration 64 mins.
Job 2 Operation 5 duration 172 mins.
Job 3 Operation 5 duration 53 mins.
Job 8 Operation 5 duration 126 mins.
Job 5 Operation 6 duration 35 mins.
Job 12 Operation 6 duration 71 mins.
Job 1 Operation 7 duration 124 mins.
Job 11 Operation 7 duration 40 mins.
Job 4 Operation 8 duration 172 mins.
Job 0 Operation 9 duration 42 mins.
Job 7 Operation 9 duration 99 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 105 -> 105
Job 9 Operation 0 on Machine 1 : 0 + 155 -> 155
Job 11 Operation 0 on Machine 2 : 0 + 49 -> 49
Job 13 Operation 0 on Machine 3 : 0 + 70 -> 70
Job 0 Operation 0 on Machine 4 : 0 + 57 -> 57
Job 5 Operation 0 on Machine 6 : 0 + 121 -> 121
Job 14 Operation 0 on Machine 7 : 0 + 58 -> 58
Job 11 Operation 1 on Machine 5 : 49 + 85 -> 134
Job 2 Operation 0 on Machine 4 : 57 + 106 -> 163
Job 14 Operation 1 on Machine 2 : 58 + 82 -> 140
Job 6 Operation 0 on Machine 7 : 58 + 108 -> 166
Job 3 Operation 1 on Machine 8 : 105 + 144 -> 249
Job 5 Operation 1 on Machine 0 : 121 + 29 -> 150
Job 10 Operation 0 on Machine 6 : 121 + 54 -> 175
Job 13 Operation 1 on Machine 5 : 134 + 152 -> 286
Job 4 Operation 0 on Machine 0 : 150 + 26 -> 176
Job 5 Operation 2 on Machine 2 : 150 + 97 -> 247
Job 0 Operation 1 on Machine 1 : 155 + 13 -> 168
Job 9 Operation 1 on Machine 3 : 155 + 162 -> 317
Job 8 Operation 0 on Machine 4 : 163 + 180 -> 343
Job 11 Operation 2 on Machine 1 : 168 + 6 -> 174
Job 12 Operation 0 on Machine 6 : 175 + 157 -> 332
Job 10 Operation 1 on Machine 7 : 175 + 34 -> 209
Job 6 Operation 1 on Machine 0 : 176 + 172 -> 348
Job 10 Operation 2 on Machine 9 : 209 + 133 -> 342
Job 1 Operation 0 on Machine 2 : 247 + 158 -> 405
Job 5 Operation 3 on Machine 8 : 249 + 167 -> 416
Job 13 Operation 2 on Machine 1 : 286 + 128 -> 414
Job 11 Operation 3 on Machine 3 : 317 + 28 -> 345
Job 9 Operation 2 on Machine 7 : 317 + 151 -> 468
Job 4 Operation 1 on Machine 6 : 332 + 114 -> 446
Job 8 Operation 1 on Machine 5 : 343 + 43 -> 386
Job 10 Operation 3 on Machine 3 : 345 + 177 -> 522
Job 0 Operation 2 on Machine 0 : 348 + 52 -> 400
Job 6 Operation 2 on Machine 9 : 348 + 102 -> 450
Job 14 Operation 2 on Machine 0 : 400 + 82 -> 482
Job 3 Operation 2 on Machine 2 : 405 + 13 -> 418
Job 1 Operation 1 on Machine 8 : 416 + 43 -> 459
Job 12 Operation 1 on Machine 2 : 418 + 18 -> 436
Job 0 Operation 3 on Machine 6 : 446 + 146 -> 592
Job 1 Operation 2 on Machine 1 : 459 + 41 -> 500
Job 11 Operation 4 on Machine 8 : 459 + 6 -> 465
Job 6 Operation 3 on Machine 8 : 465 + 104 -> 569
Job 9 Operation 3 on Machine 9 : 468 + 56 -> 524
Job 7 Operation 0 on Machine 0 : 482 + 47 -> 529
Job 14 Operation 3 on Machine 1 : 500 + 15 -> 515
Job 1 Operation 3 on Machine 7 : 500 + 27 -> 527
Job 12 Operation 2 on Machine 1 : 515 + 124 -> 639
Job 5 Operation 4 on Machine 3 : 522 + 98 -> 620
Job 10 Operation 4 on Machine 4 : 522 + 88 -> 610
Job 9 Operation 4 on Machine 2 : 524 + 176 -> 700
Job 14 Operation 4 on Machine 9 : 524 + 64 -> 588
Job 1 Operation 4 on Machine 5 : 527 + 111 -> 638
Job 4 Operation 2 on Machine 7 : 527 + 176 -> 703
Job 13 Operation 3 on Machine 8 : 569 + 158 -> 727
Job 2 Operation 1 on Machine 6 : 592 + 147 -> 739
Job 6 Operation 4 on Machine 3 : 620 + 74 -> 694
Job 1 Operation 5 on Machine 4 : 638 + 54 -> 692
Job 5 Operation 5 on Machine 5 : 638 + 174 -> 812
Job 12 Operation 3 on Machine 0 : 639 + 53 -> 692
Job 10 Operation 5 on Machine 1 : 639 + 26 -> 665
Job 14 Operation 5 on Machine 4 : 692 + 39 -> 731
Job 1 Operation 6 on Machine 3 : 694 + 91 -> 785
Job 10 Operation 6 on Machine 2 : 700 + 95 -> 795
Job 0 Operation 4 on Machine 7 : 703 + 114 -> 817
Job 13 Operation 4 on Machine 9 : 727 + 157 -> 884
Job 2 Operation 2 on Machine 1 : 739 + 123 -> 862
Job 3 Operation 3 on Machine 6 : 739 + 141 -> 880
Job 12 Operation 4 on Machine 3 : 785 + 164 -> 949
Job 6 Operation 5 on Machine 2 : 795 + 107 -> 902
Job 10 Operation 7 on Machine 8 : 795 + 139 -> 934
Job 9 Operation 5 on Machine 5 : 812 + 77 -> 889
Job 11 Operation 5 on Machine 7 : 817 + 150 -> 967
Job 7 Operation 1 on Machine 6 : 880 + 176 -> 1056
Job 5 Operation 6 on Machine 9 : 884 + 35 -> 919
Job 9 Operation 6 on Machine 0 : 889 + 48 -> 937
Job 6 Operation 6 on Machine 1 : 902 + 132 -> 1034
Job 0 Operation 5 on Machine 2 : 902 + 112 -> 1014
Job 1 Operation 7 on Machine 9 : 919 + 124 -> 1043
Job 10 Operation 8 on Machine 5 : 934 + 161 -> 1095
Job 4 Operation 3 on Machine 8 : 934 + 10 -> 944
Job 3 Operation 4 on Machine 3 : 949 + 83 -> 1032
Job 12 Operation 5 on Machine 8 : 949 + 117 -> 1066
Job 11 Operation 6 on Machine 0 : 967 + 181 -> 1148
Job 8 Operation 2 on Machine 7 : 967 + 150 -> 1117
Job 2 Operation 3 on Machine 2 : 1014 + 155 -> 1169
Job 4 Operation 4 on Machine 3 : 1032 + 157 -> 1189
Job 5 Operation 7 on Machine 1 : 1034 + 146 -> 1180
Job 3 Operation 5 on Machine 9 : 1043 + 53 -> 1096
Job 6 Operation 7 on Machine 6 : 1056 + 95 -> 1151
Job 0 Operation 6 on Machine 5 : 1095 + 131 -> 1226
Job 3 Operation 6 on Machine 4 : 1096 + 106 -> 1202
Job 12 Operation 6 on Machine 9 : 1096 + 71 -> 1167
Job 8 Operation 3 on Machine 8 : 1117 + 47 -> 1164
Job 1 Operation 8 on Machine 0 : 1148 + 141 -> 1289
Job 11 Operation 7 on Machine 9 : 1167 + 40 -> 1207
Job 13 Operation 5 on Machine 2 : 1169 + 119 -> 1288
Job 4 Operation 5 on Machine 1 : 1189 + 45 -> 1234
Job 8 Operation 4 on Machine 3 : 1189 + 28 -> 1217
Job 5 Operation 8 on Machine 4 : 1202 + 10 -> 1212
Job 11 Operation 8 on Machine 6 : 1207 + 134 -> 1341
Job 7 Operation 2 on Machine 4 : 1212 + 43 -> 1255
Job 5 Operation 9 on Machine 7 : 1212 + 120 -> 1332
Job 2 Operation 4 on Machine 3 : 1217 + 104 -> 1321
Job 8 Operation 5 on Machine 9 : 1217 + 126 -> 1343
Job 3 Operation 7 on Machine 5 : 1226 + 131 -> 1357
Job 7 Operation 3 on Machine 8 : 1255 + 64 -> 1319
Job 4 Operation 6 on Machine 2 : 1288 + 159 -> 1447
Job 9 Operation 7 on Machine 8 : 1319 + 148 -> 1467
Job 14 Operation 6 on Machine 3 : 1321 + 106 -> 1427
Job 7 Operation 4 on Machine 7 : 1332 + 17 -> 1349
Job 11 Operation 9 on Machine 4 : 1341 + 125 -> 1466
Job 1 Operation 9 on Machine 6 : 1341 + 175 -> 1516
Job 8 Operation 6 on Machine 0 : 1343 + 3 -> 1346
Job 2 Operation 5 on Machine 9 : 1343 + 172 -> 1515
Job 10 Operation 9 on Machine 0 : 1346 + 117 -> 1463
Job 7 Operation 5 on Machine 1 : 1349 + 4 -> 1353
Job 12 Operation 7 on Machine 5 : 1357 + 90 -> 1447
Job 3 Operation 8 on Machine 7 : 1357 + 116 -> 1473
Job 0 Operation 7 on Machine 3 : 1427 + 154 -> 1581
Job 8 Operation 7 on Machine 2 : 1447 + 58 -> 1505
Job 4 Operation 7 on Machine 5 : 1447 + 80 -> 1527
Job 12 Operation 8 on Machine 4 : 1466 + 74 -> 1540
Job 14 Operation 7 on Machine 8 : 1467 + 118 -> 1585
Job 3 Operation 9 on Machine 1 : 1473 + 22 -> 1495
Job 7 Operation 6 on Machine 2 : 1505 + 122 -> 1627
Job 2 Operation 6 on Machine 0 : 1515 + 20 -> 1535
Job 9 Operation 8 on Machine 6 : 1516 + 49 -> 1565
Job 4 Operation 8 on Machine 9 : 1527 + 172 -> 1699
Job 2 Operation 7 on Machine 5 : 1535 + 119 -> 1654
Job 13 Operation 6 on Machine 4 : 1540 + 76 -> 1616
Job 12 Operation 9 on Machine 7 : 1540 + 170 -> 1710
Job 8 Operation 8 on Machine 6 : 1565 + 172 -> 1737
Job 0 Operation 8 on Machine 8 : 1585 + 38 -> 1623
Job 13 Operation 7 on Machine 0 : 1616 + 44 -> 1660
Job 9 Operation 9 on Machine 4 : 1616 + 96 -> 1712
Job 14 Operation 8 on Machine 5 : 1654 + 11 -> 1665
Job 2 Operation 8 on Machine 8 : 1654 + 119 -> 1773
Job 6 Operation 8 on Machine 5 : 1665 + 45 -> 1710
Job 0 Operation 9 on Machine 9 : 1699 + 42 -> 1741
Job 7 Operation 7 on Machine 5 : 1710 + 59 -> 1769
Job 13 Operation 8 on Machine 7 : 1710 + 42 -> 1752
Job 4 Operation 9 on Machine 4 : 1712 + 56 -> 1768
Job 8 Operation 9 on Machine 1 : 1737 + 52 -> 1789
Job 13 Operation 9 on Machine 6 : 1752 + 94 -> 1846
Job 6 Operation 9 on Machine 4 : 1768 + 103 -> 1871
Job 7 Operation 8 on Machine 3 : 1769 + 22 -> 1791
Job 2 Operation 9 on Machine 7 : 1773 + 119 -> 1892
Job 7 Operation 9 on Machine 9 : 1791 + 99 -> 1890
Job 14 Operation 9 on Machine 6 : 1846 + 6 -> 1852
Makespan: 1892.0, as it is the maximum end completion time of Operation 9 |
2 | 2 | Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 11 mins.
Operation 1 on Machine 1 duration 20 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 20 mins.
Operation 1 on Machine 0 duration 26 mins.
| Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 11 mins.
Job 1 Operation 1 duration 26 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 20 mins.
Job 0 Operation 1 duration 20 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 11 -> 11
Job 1 Operation 0 on Machine 1 : 0 + 20 -> 20
Job 1 Operation 1 on Machine 0 : 20 + 26 -> 46
Job 0 Operation 1 on Machine 1 : 20 + 20 -> 40
Makespan: 46.0, as it is the maximum end completion time of Operation 1 |
10 | 2 | Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 81 mins.
Operation 1 on Machine 1 duration 151 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 159 mins.
Operation 1 on Machine 1 duration 156 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 155 mins.
Operation 1 on Machine 0 duration 10 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 107 mins.
Operation 1 on Machine 0 duration 20 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 0 duration 88 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 61 mins.
Operation 1 on Machine 1 duration 24 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 100 mins.
Operation 1 on Machine 0 duration 54 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 150 mins.
Operation 1 on Machine 0 duration 117 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 0 duration 75 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 133 mins.
Operation 1 on Machine 1 duration 92 mins.
| Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 81 mins.
Job 1 Operation 0 duration 159 mins.
Job 5 Operation 0 duration 61 mins.
Job 9 Operation 0 duration 133 mins.
Job 2 Operation 1 duration 10 mins.
Job 3 Operation 1 duration 20 mins.
Job 4 Operation 1 duration 88 mins.
Job 6 Operation 1 duration 54 mins.
Job 7 Operation 1 duration 117 mins.
Job 8 Operation 1 duration 75 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 155 mins.
Job 3 Operation 0 duration 107 mins.
Job 4 Operation 0 duration 44 mins.
Job 6 Operation 0 duration 100 mins.
Job 7 Operation 0 duration 150 mins.
Job 8 Operation 0 duration 44 mins.
Job 0 Operation 1 duration 151 mins.
Job 1 Operation 1 duration 156 mins.
Job 5 Operation 1 duration 24 mins.
Job 9 Operation 1 duration 92 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 61 -> 61
Job 4 Operation 0 on Machine 1 : 0 + 44 -> 44
Job 8 Operation 0 on Machine 1 : 44 + 44 -> 88
Job 0 Operation 0 on Machine 0 : 61 + 81 -> 142
Job 5 Operation 1 on Machine 1 : 88 + 24 -> 112
Job 6 Operation 0 on Machine 1 : 112 + 100 -> 212
Job 8 Operation 1 on Machine 0 : 142 + 75 -> 217
Job 3 Operation 0 on Machine 1 : 212 + 107 -> 319
Job 6 Operation 1 on Machine 0 : 217 + 54 -> 271
Job 4 Operation 1 on Machine 0 : 271 + 88 -> 359
Job 7 Operation 0 on Machine 1 : 319 + 150 -> 469
Job 3 Operation 1 on Machine 0 : 359 + 20 -> 379
Job 9 Operation 0 on Machine 0 : 379 + 133 -> 512
Job 0 Operation 1 on Machine 1 : 469 + 151 -> 620
Job 7 Operation 1 on Machine 0 : 512 + 117 -> 629
Job 9 Operation 1 on Machine 1 : 620 + 92 -> 712
Job 1 Operation 0 on Machine 0 : 629 + 159 -> 788
Job 2 Operation 0 on Machine 1 : 712 + 155 -> 867
Job 2 Operation 1 on Machine 0 : 867 + 10 -> 877
Job 1 Operation 1 on Machine 1 : 867 + 156 -> 1023
Makespan: 1023.0, as it is the maximum end completion time of Operation 1 |
5 | 5 | Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 92 mins.
Operation 1 on Machine 1 duration 85 mins.
Operation 2 on Machine 0 duration 188 mins.
Operation 3 on Machine 3 duration 57 mins.
Operation 4 on Machine 4 duration 194 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 100 mins.
Operation 1 on Machine 1 duration 150 mins.
Operation 2 on Machine 3 duration 222 mins.
Operation 3 on Machine 0 duration 106 mins.
Operation 4 on Machine 4 duration 98 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 22 mins.
Operation 1 on Machine 3 duration 55 mins.
Operation 2 on Machine 4 duration 242 mins.
Operation 3 on Machine 1 duration 158 mins.
Operation 4 on Machine 0 duration 209 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 62 mins.
Operation 1 on Machine 0 duration 172 mins.
Operation 2 on Machine 1 duration 65 mins.
Operation 3 on Machine 4 duration 272 mins.
Operation 4 on Machine 3 duration 236 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 214 mins.
Operation 1 on Machine 3 duration 209 mins.
Operation 2 on Machine 2 duration 86 mins.
Operation 3 on Machine 0 duration 100 mins.
Operation 4 on Machine 1 duration 248 mins.
| Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 172 mins.
Job 0 Operation 2 duration 188 mins.
Job 1 Operation 3 duration 106 mins.
Job 4 Operation 3 duration 100 mins.
Job 2 Operation 4 duration 209 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 85 mins.
Job 1 Operation 1 duration 150 mins.
Job 3 Operation 2 duration 65 mins.
Job 2 Operation 3 duration 158 mins.
Job 4 Operation 4 duration 248 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 92 mins.
Job 1 Operation 0 duration 100 mins.
Job 2 Operation 0 duration 22 mins.
Job 3 Operation 0 duration 62 mins.
Job 4 Operation 2 duration 86 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 55 mins.
Job 4 Operation 1 duration 209 mins.
Job 1 Operation 2 duration 222 mins.
Job 0 Operation 3 duration 57 mins.
Job 3 Operation 4 duration 236 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 214 mins.
Job 2 Operation 2 duration 242 mins.
Job 3 Operation 3 duration 272 mins.
Job 0 Operation 4 duration 194 mins.
Job 1 Operation 4 duration 98 mins.
| Solution:
Job 2 Operation 0 on Machine 2 : 0 + 22 -> 22
Job 4 Operation 0 on Machine 4 : 0 + 214 -> 214
Job 1 Operation 0 on Machine 2 : 22 + 100 -> 122
Job 2 Operation 1 on Machine 3 : 22 + 55 -> 77
Job 1 Operation 1 on Machine 1 : 122 + 150 -> 272
Job 3 Operation 0 on Machine 2 : 122 + 62 -> 184
Job 3 Operation 1 on Machine 0 : 184 + 172 -> 356
Job 0 Operation 0 on Machine 2 : 184 + 92 -> 276
Job 4 Operation 1 on Machine 3 : 214 + 209 -> 423
Job 2 Operation 2 on Machine 4 : 214 + 242 -> 456
Job 0 Operation 1 on Machine 1 : 276 + 85 -> 361
Job 0 Operation 2 on Machine 0 : 361 + 188 -> 549
Job 3 Operation 2 on Machine 1 : 361 + 65 -> 426
Job 4 Operation 2 on Machine 2 : 423 + 86 -> 509
Job 1 Operation 2 on Machine 3 : 423 + 222 -> 645
Job 2 Operation 3 on Machine 1 : 456 + 158 -> 614
Job 3 Operation 3 on Machine 4 : 456 + 272 -> 728
Job 4 Operation 3 on Machine 0 : 549 + 100 -> 649
Job 0 Operation 3 on Machine 3 : 645 + 57 -> 702
Job 1 Operation 3 on Machine 0 : 649 + 106 -> 755
Job 4 Operation 4 on Machine 1 : 649 + 248 -> 897
Job 3 Operation 4 on Machine 3 : 728 + 236 -> 964
Job 0 Operation 4 on Machine 4 : 728 + 194 -> 922
Job 2 Operation 4 on Machine 0 : 755 + 209 -> 964
Job 1 Operation 4 on Machine 4 : 922 + 98 -> 1020
Makespan: 1020.0, as it is the maximum end completion time of Operation 4 |
4 | 4 | Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 175 mins.
Operation 1 on Machine 0 duration 132 mins.
Operation 2 on Machine 2 duration 215 mins.
Operation 3 on Machine 3 duration 143 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 76 mins.
Operation 1 on Machine 0 duration 220 mins.
Operation 2 on Machine 3 duration 191 mins.
Operation 3 on Machine 1 duration 47 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 2 duration 92 mins.
Operation 2 on Machine 3 duration 200 mins.
Operation 3 on Machine 1 duration 95 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 66 mins.
Operation 1 on Machine 3 duration 232 mins.
Operation 2 on Machine 2 duration 117 mins.
Operation 3 on Machine 0 duration 185 mins.
| Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 12 mins.
Job 0 Operation 1 duration 132 mins.
Job 1 Operation 1 duration 220 mins.
Job 3 Operation 3 duration 185 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 175 mins.
Job 3 Operation 0 duration 66 mins.
Job 1 Operation 3 duration 47 mins.
Job 2 Operation 3 duration 95 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 76 mins.
Job 2 Operation 1 duration 92 mins.
Job 0 Operation 2 duration 215 mins.
Job 3 Operation 2 duration 117 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 232 mins.
Job 1 Operation 2 duration 191 mins.
Job 2 Operation 2 duration 200 mins.
Job 0 Operation 3 duration 143 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 12 -> 12
Job 3 Operation 0 on Machine 1 : 0 + 66 -> 66
Job 1 Operation 0 on Machine 2 : 0 + 76 -> 76
Job 0 Operation 0 on Machine 1 : 66 + 175 -> 241
Job 3 Operation 1 on Machine 3 : 66 + 232 -> 298
Job 1 Operation 1 on Machine 0 : 76 + 220 -> 296
Job 2 Operation 1 on Machine 2 : 76 + 92 -> 168
Job 0 Operation 1 on Machine 0 : 296 + 132 -> 428
Job 3 Operation 2 on Machine 2 : 298 + 117 -> 415
Job 1 Operation 2 on Machine 3 : 298 + 191 -> 489
Job 3 Operation 3 on Machine 0 : 428 + 185 -> 613
Job 0 Operation 2 on Machine 2 : 428 + 215 -> 643
Job 1 Operation 3 on Machine 1 : 489 + 47 -> 536
Job 2 Operation 2 on Machine 3 : 489 + 200 -> 689
Job 2 Operation 3 on Machine 1 : 689 + 95 -> 784
Job 0 Operation 3 on Machine 3 : 689 + 143 -> 832
Makespan: 832.0, as it is the maximum end completion time of Operation 3 |
8 | 7 | Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 290 mins.
Operation 1 on Machine 1 duration 45 mins.
Operation 2 on Machine 0 duration 64 mins.
Operation 3 on Machine 3 duration 43 mins.
Operation 4 on Machine 2 duration 247 mins.
Operation 5 on Machine 5 duration 2 mins.
Operation 6 on Machine 6 duration 50 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 131 mins.
Operation 1 on Machine 2 duration 315 mins.
Operation 2 on Machine 1 duration 26 mins.
Operation 3 on Machine 0 duration 188 mins.
Operation 4 on Machine 6 duration 34 mins.
Operation 5 on Machine 4 duration 73 mins.
Operation 6 on Machine 3 duration 184 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 206 mins.
Operation 1 on Machine 4 duration 260 mins.
Operation 2 on Machine 1 duration 212 mins.
Operation 3 on Machine 5 duration 34 mins.
Operation 4 on Machine 6 duration 95 mins.
Operation 5 on Machine 0 duration 91 mins.
Operation 6 on Machine 2 duration 46 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 230 mins.
Operation 1 on Machine 4 duration 117 mins.
Operation 2 on Machine 3 duration 146 mins.
Operation 3 on Machine 1 duration 127 mins.
Operation 4 on Machine 6 duration 20 mins.
Operation 5 on Machine 0 duration 201 mins.
Operation 6 on Machine 2 duration 146 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 107 mins.
Operation 1 on Machine 2 duration 145 mins.
Operation 2 on Machine 5 duration 106 mins.
Operation 3 on Machine 3 duration 288 mins.
Operation 4 on Machine 4 duration 222 mins.
Operation 5 on Machine 1 duration 7 mins.
Operation 6 on Machine 0 duration 177 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 124 mins.
Operation 1 on Machine 3 duration 286 mins.
Operation 2 on Machine 6 duration 325 mins.
Operation 3 on Machine 0 duration 32 mins.
Operation 4 on Machine 1 duration 240 mins.
Operation 5 on Machine 5 duration 34 mins.
Operation 6 on Machine 4 duration 177 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 56 mins.
Operation 1 on Machine 3 duration 49 mins.
Operation 2 on Machine 1 duration 224 mins.
Operation 3 on Machine 6 duration 93 mins.
Operation 4 on Machine 4 duration 120 mins.
Operation 5 on Machine 5 duration 162 mins.
Operation 6 on Machine 0 duration 131 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 81 mins.
Operation 1 on Machine 3 duration 352 mins.
Operation 2 on Machine 4 duration 324 mins.
Operation 3 on Machine 1 duration 46 mins.
Operation 4 on Machine 5 duration 362 mins.
Operation 5 on Machine 2 duration 263 mins.
Operation 6 on Machine 0 duration 297 mins.
| Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 2 duration 64 mins.
Job 1 Operation 3 duration 188 mins.
Job 5 Operation 3 duration 32 mins.
Job 2 Operation 5 duration 91 mins.
Job 3 Operation 5 duration 201 mins.
Job 4 Operation 6 duration 177 mins.
Job 6 Operation 6 duration 131 mins.
Job 7 Operation 6 duration 297 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 45 mins.
Job 1 Operation 2 duration 26 mins.
Job 2 Operation 2 duration 212 mins.
Job 6 Operation 2 duration 224 mins.
Job 3 Operation 3 duration 127 mins.
Job 7 Operation 3 duration 46 mins.
Job 5 Operation 4 duration 240 mins.
Job 4 Operation 5 duration 7 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 124 mins.
Job 6 Operation 0 duration 56 mins.
Job 1 Operation 1 duration 315 mins.
Job 4 Operation 1 duration 145 mins.
Job 0 Operation 4 duration 247 mins.
Job 7 Operation 5 duration 263 mins.
Job 2 Operation 6 duration 46 mins.
Job 3 Operation 6 duration 146 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 206 mins.
Job 5 Operation 1 duration 286 mins.
Job 6 Operation 1 duration 49 mins.
Job 7 Operation 1 duration 352 mins.
Job 3 Operation 2 duration 146 mins.
Job 0 Operation 3 duration 43 mins.
Job 4 Operation 3 duration 288 mins.
Job 1 Operation 6 duration 184 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 290 mins.
Job 2 Operation 1 duration 260 mins.
Job 3 Operation 1 duration 117 mins.
Job 7 Operation 2 duration 324 mins.
Job 4 Operation 4 duration 222 mins.
Job 6 Operation 4 duration 120 mins.
Job 1 Operation 5 duration 73 mins.
Job 5 Operation 6 duration 177 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 131 mins.
Job 3 Operation 0 duration 230 mins.
Job 4 Operation 2 duration 106 mins.
Job 2 Operation 3 duration 34 mins.
Job 7 Operation 4 duration 362 mins.
Job 0 Operation 5 duration 2 mins.
Job 5 Operation 5 duration 34 mins.
Job 6 Operation 5 duration 162 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 0 duration 107 mins.
Job 7 Operation 0 duration 81 mins.
Job 5 Operation 2 duration 325 mins.
Job 6 Operation 3 duration 93 mins.
Job 1 Operation 4 duration 34 mins.
Job 2 Operation 4 duration 95 mins.
Job 3 Operation 4 duration 20 mins.
Job 0 Operation 6 duration 50 mins.
| Solution:
Job 6 Operation 0 on Machine 2 : 0 + 56 -> 56
Job 2 Operation 0 on Machine 3 : 0 + 206 -> 206
Job 3 Operation 0 on Machine 5 : 0 + 230 -> 230
Job 7 Operation 0 on Machine 6 : 0 + 81 -> 81
Job 5 Operation 0 on Machine 2 : 56 + 124 -> 180
Job 4 Operation 0 on Machine 6 : 81 + 107 -> 188
Job 4 Operation 1 on Machine 2 : 188 + 145 -> 333
Job 6 Operation 1 on Machine 3 : 206 + 49 -> 255
Job 2 Operation 1 on Machine 4 : 206 + 260 -> 466
Job 1 Operation 0 on Machine 5 : 230 + 131 -> 361
Job 6 Operation 2 on Machine 1 : 255 + 224 -> 479
Job 7 Operation 1 on Machine 3 : 255 + 352 -> 607
Job 1 Operation 1 on Machine 2 : 361 + 315 -> 676
Job 4 Operation 2 on Machine 5 : 361 + 106 -> 467
Job 3 Operation 1 on Machine 4 : 466 + 117 -> 583
Job 2 Operation 2 on Machine 1 : 479 + 212 -> 691
Job 6 Operation 3 on Machine 6 : 479 + 93 -> 572
Job 6 Operation 4 on Machine 4 : 583 + 120 -> 703
Job 3 Operation 2 on Machine 3 : 607 + 146 -> 753
Job 1 Operation 2 on Machine 1 : 691 + 26 -> 717
Job 7 Operation 2 on Machine 4 : 703 + 324 -> 1027
Job 6 Operation 5 on Machine 5 : 703 + 162 -> 865
Job 1 Operation 3 on Machine 0 : 717 + 188 -> 905
Job 3 Operation 3 on Machine 1 : 753 + 127 -> 880
Job 5 Operation 1 on Machine 3 : 753 + 286 -> 1039
Job 2 Operation 3 on Machine 5 : 865 + 34 -> 899
Job 3 Operation 4 on Machine 6 : 880 + 20 -> 900
Job 3 Operation 5 on Machine 0 : 905 + 201 -> 1106
Job 1 Operation 4 on Machine 6 : 905 + 34 -> 939
Job 7 Operation 3 on Machine 1 : 1027 + 46 -> 1073
Job 0 Operation 0 on Machine 4 : 1027 + 290 -> 1317
Job 4 Operation 3 on Machine 3 : 1039 + 288 -> 1327
Job 5 Operation 2 on Machine 6 : 1039 + 325 -> 1364
Job 7 Operation 4 on Machine 5 : 1073 + 362 -> 1435
Job 6 Operation 6 on Machine 0 : 1106 + 131 -> 1237
Job 3 Operation 6 on Machine 2 : 1106 + 146 -> 1252
Job 0 Operation 1 on Machine 1 : 1317 + 45 -> 1362
Job 4 Operation 4 on Machine 4 : 1327 + 222 -> 1549
Job 0 Operation 2 on Machine 0 : 1362 + 64 -> 1426
Job 2 Operation 4 on Machine 6 : 1364 + 95 -> 1459
Job 5 Operation 3 on Machine 0 : 1426 + 32 -> 1458
Job 0 Operation 3 on Machine 3 : 1426 + 43 -> 1469
Job 7 Operation 5 on Machine 2 : 1435 + 263 -> 1698
Job 2 Operation 5 on Machine 0 : 1459 + 91 -> 1550
Job 4 Operation 5 on Machine 1 : 1549 + 7 -> 1556
Job 1 Operation 5 on Machine 4 : 1549 + 73 -> 1622
Job 4 Operation 6 on Machine 0 : 1556 + 177 -> 1733
Job 5 Operation 4 on Machine 1 : 1556 + 240 -> 1796
Job 1 Operation 6 on Machine 3 : 1622 + 184 -> 1806
Job 0 Operation 4 on Machine 2 : 1698 + 247 -> 1945
Job 7 Operation 6 on Machine 0 : 1733 + 297 -> 2030
Job 5 Operation 5 on Machine 5 : 1796 + 34 -> 1830
Job 5 Operation 6 on Machine 4 : 1830 + 177 -> 2007
Job 2 Operation 6 on Machine 2 : 1945 + 46 -> 1991
Job 0 Operation 5 on Machine 5 : 1945 + 2 -> 1947
Job 0 Operation 6 on Machine 6 : 1947 + 50 -> 1997
Makespan: 2030.0, as it is the maximum end completion time of Operation 6 |
3 | 3 | Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 45 mins.
Operation 1 on Machine 0 duration 18 mins.
Operation 2 on Machine 1 duration 69 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 40 mins.
Operation 1 on Machine 1 duration 32 mins.
Operation 2 on Machine 0 duration 46 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 50 mins.
Operation 1 on Machine 1 duration 69 mins.
Operation 2 on Machine 2 duration 66 mins.
| Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 50 mins.
Job 0 Operation 1 duration 18 mins.
Job 1 Operation 2 duration 46 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 32 mins.
Job 2 Operation 1 duration 69 mins.
Job 0 Operation 2 duration 69 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 45 mins.
Job 1 Operation 0 duration 40 mins.
Job 2 Operation 2 duration 66 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 50 -> 50
Job 1 Operation 0 on Machine 2 : 0 + 40 -> 40
Job 1 Operation 1 on Machine 1 : 40 + 32 -> 72
Job 0 Operation 0 on Machine 2 : 40 + 45 -> 85
Job 1 Operation 2 on Machine 0 : 72 + 46 -> 118
Job 2 Operation 1 on Machine 1 : 72 + 69 -> 141
Job 0 Operation 1 on Machine 0 : 118 + 18 -> 136
Job 0 Operation 2 on Machine 1 : 141 + 69 -> 210
Job 2 Operation 2 on Machine 2 : 141 + 66 -> 207
Makespan: 210.0, as it is the maximum end completion time of Operation 2 |
15 | 10 | Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 186 mins.
Operation 1 on Machine 1 duration 195 mins.
Operation 2 on Machine 8 duration 75 mins.
Operation 3 on Machine 4 duration 304 mins.
Operation 4 on Machine 6 duration 265 mins.
Operation 5 on Machine 2 duration 308 mins.
Operation 6 on Machine 5 duration 306 mins.
Operation 7 on Machine 0 duration 169 mins.
Operation 8 on Machine 7 duration 281 mins.
Operation 9 on Machine 9 duration 168 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 83 mins.
Operation 1 on Machine 2 duration 279 mins.
Operation 2 on Machine 7 duration 256 mins.
Operation 3 on Machine 9 duration 22 mins.
Operation 4 on Machine 5 duration 147 mins.
Operation 5 on Machine 6 duration 138 mins.
Operation 6 on Machine 0 duration 299 mins.
Operation 7 on Machine 8 duration 306 mins.
Operation 8 on Machine 1 duration 275 mins.
Operation 9 on Machine 4 duration 262 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 219 mins.
Operation 1 on Machine 2 duration 176 mins.
Operation 2 on Machine 9 duration 140 mins.
Operation 3 on Machine 0 duration 64 mins.
Operation 4 on Machine 5 duration 200 mins.
Operation 5 on Machine 4 duration 161 mins.
Operation 6 on Machine 6 duration 116 mins.
Operation 7 on Machine 1 duration 241 mins.
Operation 8 on Machine 7 duration 240 mins.
Operation 9 on Machine 8 duration 265 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 86 mins.
Operation 1 on Machine 9 duration 99 mins.
Operation 2 on Machine 6 duration 115 mins.
Operation 3 on Machine 1 duration 298 mins.
Operation 4 on Machine 8 duration 240 mins.
Operation 5 on Machine 5 duration 290 mins.
Operation 6 on Machine 7 duration 100 mins.
Operation 7 on Machine 3 duration 105 mins.
Operation 8 on Machine 0 duration 97 mins.
Operation 9 on Machine 4 duration 90 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 96 mins.
Operation 1 on Machine 9 duration 133 mins.
Operation 2 on Machine 3 duration 220 mins.
Operation 3 on Machine 0 duration 299 mins.
Operation 4 on Machine 8 duration 18 mins.
Operation 5 on Machine 2 duration 282 mins.
Operation 6 on Machine 7 duration 176 mins.
Operation 7 on Machine 5 duration 28 mins.
Operation 8 on Machine 6 duration 314 mins.
Operation 9 on Machine 1 duration 263 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 288 mins.
Operation 1 on Machine 3 duration 233 mins.
Operation 2 on Machine 8 duration 35 mins.
Operation 3 on Machine 0 duration 279 mins.
Operation 4 on Machine 9 duration 313 mins.
Operation 5 on Machine 1 duration 93 mins.
Operation 6 on Machine 7 duration 135 mins.
Operation 7 on Machine 4 duration 74 mins.
Operation 8 on Machine 5 duration 224 mins.
Operation 9 on Machine 2 duration 109 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 320 mins.
Operation 1 on Machine 2 duration 147 mins.
Operation 2 on Machine 1 duration 82 mins.
Operation 3 on Machine 9 duration 49 mins.
Operation 4 on Machine 3 duration 109 mins.
Operation 5 on Machine 4 duration 313 mins.
Operation 6 on Machine 0 duration 26 mins.
Operation 7 on Machine 8 duration 159 mins.
Operation 8 on Machine 6 duration 280 mins.
Operation 9 on Machine 7 duration 85 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 9 duration 93 mins.
Operation 1 on Machine 6 duration 179 mins.
Operation 2 on Machine 1 duration 18 mins.
Operation 3 on Machine 0 duration 124 mins.
Operation 4 on Machine 7 duration 40 mins.
Operation 5 on Machine 8 duration 33 mins.
Operation 6 on Machine 3 duration 144 mins.
Operation 7 on Machine 4 duration 4 mins.
Operation 8 on Machine 5 duration 292 mins.
Operation 9 on Machine 2 duration 318 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 101 mins.
Operation 1 on Machine 7 duration 282 mins.
Operation 2 on Machine 8 duration 106 mins.
Operation 3 on Machine 6 duration 175 mins.
Operation 4 on Machine 4 duration 253 mins.
Operation 5 on Machine 9 duration 265 mins.
Operation 6 on Machine 5 duration 269 mins.
Operation 7 on Machine 3 duration 80 mins.
Operation 8 on Machine 2 duration 192 mins.
Operation 9 on Machine 1 duration 309 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 9 duration 237 mins.
Operation 1 on Machine 5 duration 124 mins.
Operation 2 on Machine 6 duration 206 mins.
Operation 3 on Machine 7 duration 7 mins.
Operation 4 on Machine 3 duration 26 mins.
Operation 5 on Machine 1 duration 270 mins.
Operation 6 on Machine 2 duration 120 mins.
Operation 7 on Machine 0 duration 109 mins.
Operation 8 on Machine 8 duration 30 mins.
Operation 9 on Machine 4 duration 46 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 7 duration 318 mins.
Operation 1 on Machine 3 duration 171 mins.
Operation 2 on Machine 8 duration 134 mins.
Operation 3 on Machine 6 duration 40 mins.
Operation 4 on Machine 0 duration 146 mins.
Operation 5 on Machine 9 duration 217 mins.
Operation 6 on Machine 5 duration 230 mins.
Operation 7 on Machine 1 duration 303 mins.
Operation 8 on Machine 4 duration 140 mins.
Operation 9 on Machine 2 duration 212 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 5 duration 9 mins.
Operation 1 on Machine 7 duration 65 mins.
Operation 2 on Machine 4 duration 27 mins.
Operation 3 on Machine 6 duration 218 mins.
Operation 4 on Machine 8 duration 83 mins.
Operation 5 on Machine 2 duration 283 mins.
Operation 6 on Machine 9 duration 258 mins.
Operation 7 on Machine 1 duration 236 mins.
Operation 8 on Machine 0 duration 295 mins.
Operation 9 on Machine 3 duration 104 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 5 duration 220 mins.
Operation 1 on Machine 9 duration 221 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 8 duration 311 mins.
Operation 4 on Machine 7 duration 300 mins.
Operation 5 on Machine 1 duration 135 mins.
Operation 6 on Machine 3 duration 80 mins.
Operation 7 on Machine 4 duration 284 mins.
Operation 8 on Machine 6 duration 156 mins.
Operation 9 on Machine 0 duration 137 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 9 duration 10 mins.
Operation 1 on Machine 1 duration 41 mins.
Operation 2 on Machine 2 duration 149 mins.
Operation 3 on Machine 6 duration 240 mins.
Operation 4 on Machine 8 duration 241 mins.
Operation 5 on Machine 5 duration 228 mins.
Operation 6 on Machine 7 duration 311 mins.
Operation 7 on Machine 0 duration 29 mins.
Operation 8 on Machine 3 duration 179 mins.
Operation 9 on Machine 4 duration 288 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 6 duration 177 mins.
Operation 1 on Machine 0 duration 267 mins.
Operation 2 on Machine 7 duration 272 mins.
Operation 3 on Machine 4 duration 59 mins.
Operation 4 on Machine 1 duration 11 mins.
Operation 5 on Machine 8 duration 169 mins.
Operation 6 on Machine 3 duration 198 mins.
Operation 7 on Machine 9 duration 245 mins.
Operation 8 on Machine 2 duration 262 mins.
Operation 9 on Machine 5 duration 113 mins.
| Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 8 Operation 0 duration 101 mins.
Job 14 Operation 1 duration 267 mins.
Job 2 Operation 3 duration 64 mins.
Job 4 Operation 3 duration 299 mins.
Job 5 Operation 3 duration 279 mins.
Job 7 Operation 3 duration 124 mins.
Job 10 Operation 4 duration 146 mins.
Job 1 Operation 6 duration 299 mins.
Job 6 Operation 6 duration 26 mins.
Job 0 Operation 7 duration 169 mins.
Job 9 Operation 7 duration 109 mins.
Job 13 Operation 7 duration 29 mins.
Job 3 Operation 8 duration 97 mins.
Job 11 Operation 8 duration 295 mins.
Job 12 Operation 9 duration 137 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 195 mins.
Job 13 Operation 1 duration 41 mins.
Job 6 Operation 2 duration 82 mins.
Job 7 Operation 2 duration 18 mins.
Job 3 Operation 3 duration 298 mins.
Job 14 Operation 4 duration 11 mins.
Job 5 Operation 5 duration 93 mins.
Job 9 Operation 5 duration 270 mins.
Job 12 Operation 5 duration 135 mins.
Job 2 Operation 7 duration 241 mins.
Job 10 Operation 7 duration 303 mins.
Job 11 Operation 7 duration 236 mins.
Job 1 Operation 8 duration 275 mins.
Job 4 Operation 9 duration 263 mins.
Job 8 Operation 9 duration 309 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 86 mins.
Job 1 Operation 1 duration 279 mins.
Job 2 Operation 1 duration 176 mins.
Job 6 Operation 1 duration 147 mins.
Job 12 Operation 2 duration 1 mins.
Job 13 Operation 2 duration 149 mins.
Job 0 Operation 5 duration 308 mins.
Job 4 Operation 5 duration 282 mins.
Job 11 Operation 5 duration 283 mins.
Job 9 Operation 6 duration 120 mins.
Job 8 Operation 8 duration 192 mins.
Job 14 Operation 8 duration 262 mins.
Job 5 Operation 9 duration 109 mins.
Job 7 Operation 9 duration 318 mins.
Job 10 Operation 9 duration 212 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 186 mins.
Job 1 Operation 0 duration 83 mins.
Job 2 Operation 0 duration 219 mins.
Job 5 Operation 1 duration 233 mins.
Job 10 Operation 1 duration 171 mins.
Job 4 Operation 2 duration 220 mins.
Job 6 Operation 4 duration 109 mins.
Job 9 Operation 4 duration 26 mins.
Job 7 Operation 6 duration 144 mins.
Job 12 Operation 6 duration 80 mins.
Job 14 Operation 6 duration 198 mins.
Job 3 Operation 7 duration 105 mins.
Job 8 Operation 7 duration 80 mins.
Job 13 Operation 8 duration 179 mins.
Job 11 Operation 9 duration 104 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 96 mins.
Job 11 Operation 2 duration 27 mins.
Job 0 Operation 3 duration 304 mins.
Job 14 Operation 3 duration 59 mins.
Job 8 Operation 4 duration 253 mins.
Job 2 Operation 5 duration 161 mins.
Job 6 Operation 5 duration 313 mins.
Job 5 Operation 7 duration 74 mins.
Job 7 Operation 7 duration 4 mins.
Job 12 Operation 7 duration 284 mins.
Job 10 Operation 8 duration 140 mins.
Job 1 Operation 9 duration 262 mins.
Job 3 Operation 9 duration 90 mins.
Job 9 Operation 9 duration 46 mins.
Job 13 Operation 9 duration 288 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 320 mins.
Job 11 Operation 0 duration 9 mins.
Job 12 Operation 0 duration 220 mins.
Job 9 Operation 1 duration 124 mins.
Job 1 Operation 4 duration 147 mins.
Job 2 Operation 4 duration 200 mins.
Job 3 Operation 5 duration 290 mins.
Job 13 Operation 5 duration 228 mins.
Job 0 Operation 6 duration 306 mins.
Job 8 Operation 6 duration 269 mins.
Job 10 Operation 6 duration 230 mins.
Job 4 Operation 7 duration 28 mins.
Job 5 Operation 8 duration 224 mins.
Job 7 Operation 8 duration 292 mins.
Job 14 Operation 9 duration 113 mins.
Machine 6 is used for the following Operations:
Job 5 Operation 0 duration 288 mins.
Job 14 Operation 0 duration 177 mins.
Job 7 Operation 1 duration 179 mins.
Job 3 Operation 2 duration 115 mins.
Job 9 Operation 2 duration 206 mins.
Job 8 Operation 3 duration 175 mins.
Job 10 Operation 3 duration 40 mins.
Job 11 Operation 3 duration 218 mins.
Job 13 Operation 3 duration 240 mins.
Job 0 Operation 4 duration 265 mins.
Job 1 Operation 5 duration 138 mins.
Job 2 Operation 6 duration 116 mins.
Job 4 Operation 8 duration 314 mins.
Job 6 Operation 8 duration 280 mins.
Job 12 Operation 8 duration 156 mins.
Machine 7 is used for the following Operations:
Job 10 Operation 0 duration 318 mins.
Job 8 Operation 1 duration 282 mins.
Job 11 Operation 1 duration 65 mins.
Job 1 Operation 2 duration 256 mins.
Job 14 Operation 2 duration 272 mins.
Job 9 Operation 3 duration 7 mins.
Job 7 Operation 4 duration 40 mins.
Job 12 Operation 4 duration 300 mins.
Job 3 Operation 6 duration 100 mins.
Job 4 Operation 6 duration 176 mins.
Job 5 Operation 6 duration 135 mins.
Job 13 Operation 6 duration 311 mins.
Job 0 Operation 8 duration 281 mins.
Job 2 Operation 8 duration 240 mins.
Job 6 Operation 9 duration 85 mins.
Machine 8 is used for the following Operations:
Job 0 Operation 2 duration 75 mins.
Job 5 Operation 2 duration 35 mins.
Job 8 Operation 2 duration 106 mins.
Job 10 Operation 2 duration 134 mins.
Job 12 Operation 3 duration 311 mins.
Job 3 Operation 4 duration 240 mins.
Job 4 Operation 4 duration 18 mins.
Job 11 Operation 4 duration 83 mins.
Job 13 Operation 4 duration 241 mins.
Job 7 Operation 5 duration 33 mins.
Job 14 Operation 5 duration 169 mins.
Job 1 Operation 7 duration 306 mins.
Job 6 Operation 7 duration 159 mins.
Job 9 Operation 8 duration 30 mins.
Job 2 Operation 9 duration 265 mins.
Machine 9 is used for the following Operations:
Job 7 Operation 0 duration 93 mins.
Job 9 Operation 0 duration 237 mins.
Job 13 Operation 0 duration 10 mins.
Job 3 Operation 1 duration 99 mins.
Job 4 Operation 1 duration 133 mins.
Job 12 Operation 1 duration 221 mins.
Job 2 Operation 2 duration 140 mins.
Job 1 Operation 3 duration 22 mins.
Job 6 Operation 3 duration 49 mins.
Job 5 Operation 4 duration 313 mins.
Job 8 Operation 5 duration 265 mins.
Job 10 Operation 5 duration 217 mins.
Job 11 Operation 6 duration 258 mins.
Job 14 Operation 7 duration 245 mins.
Job 0 Operation 9 duration 168 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 101 -> 101
Job 3 Operation 0 on Machine 2 : 0 + 86 -> 86
Job 1 Operation 0 on Machine 3 : 0 + 83 -> 83
Job 4 Operation 0 on Machine 4 : 0 + 96 -> 96
Job 11 Operation 0 on Machine 5 : 0 + 9 -> 9
Job 5 Operation 0 on Machine 6 : 0 + 288 -> 288
Job 10 Operation 0 on Machine 7 : 0 + 318 -> 318
Job 7 Operation 0 on Machine 9 : 0 + 93 -> 93
Job 6 Operation 0 on Machine 5 : 9 + 320 -> 329
Job 0 Operation 0 on Machine 3 : 83 + 186 -> 269
Job 1 Operation 1 on Machine 2 : 86 + 279 -> 365
Job 9 Operation 0 on Machine 9 : 93 + 237 -> 330
Job 0 Operation 1 on Machine 1 : 269 + 195 -> 464
Job 7 Operation 1 on Machine 6 : 288 + 179 -> 467
Job 10 Operation 1 on Machine 3 : 318 + 171 -> 489
Job 11 Operation 1 on Machine 7 : 318 + 65 -> 383
Job 12 Operation 0 on Machine 5 : 329 + 220 -> 549
Job 13 Operation 0 on Machine 9 : 330 + 10 -> 340
Job 3 Operation 1 on Machine 9 : 340 + 99 -> 439
Job 6 Operation 1 on Machine 2 : 365 + 147 -> 512
Job 11 Operation 2 on Machine 4 : 383 + 27 -> 410
Job 1 Operation 2 on Machine 7 : 383 + 256 -> 639
Job 4 Operation 1 on Machine 9 : 439 + 133 -> 572
Job 7 Operation 2 on Machine 1 : 467 + 18 -> 485
Job 3 Operation 2 on Machine 6 : 467 + 115 -> 582
Job 7 Operation 3 on Machine 0 : 485 + 124 -> 609
Job 2 Operation 0 on Machine 3 : 489 + 219 -> 708
Job 10 Operation 2 on Machine 8 : 489 + 134 -> 623
Job 6 Operation 2 on Machine 1 : 512 + 82 -> 594
Job 9 Operation 1 on Machine 5 : 549 + 124 -> 673
Job 13 Operation 1 on Machine 1 : 594 + 41 -> 635
Job 10 Operation 3 on Machine 6 : 623 + 40 -> 663
Job 3 Operation 3 on Machine 1 : 635 + 298 -> 933
Job 7 Operation 4 on Machine 7 : 639 + 40 -> 679
Job 1 Operation 3 on Machine 9 : 639 + 22 -> 661
Job 12 Operation 1 on Machine 9 : 661 + 221 -> 882
Job 10 Operation 4 on Machine 0 : 663 + 146 -> 809
Job 11 Operation 3 on Machine 6 : 663 + 218 -> 881
Job 1 Operation 4 on Machine 5 : 673 + 147 -> 820
Job 8 Operation 1 on Machine 7 : 679 + 282 -> 961
Job 7 Operation 5 on Machine 8 : 679 + 33 -> 712
Job 2 Operation 1 on Machine 2 : 708 + 176 -> 884
Job 7 Operation 6 on Machine 3 : 712 + 144 -> 856
Job 0 Operation 2 on Machine 8 : 712 + 75 -> 787
Job 4 Operation 2 on Machine 3 : 856 + 220 -> 1076
Job 7 Operation 7 on Machine 4 : 856 + 4 -> 860
Job 0 Operation 3 on Machine 4 : 860 + 304 -> 1164
Job 7 Operation 8 on Machine 5 : 860 + 292 -> 1152
Job 9 Operation 2 on Machine 6 : 881 + 206 -> 1087
Job 11 Operation 4 on Machine 8 : 881 + 83 -> 964
Job 10 Operation 5 on Machine 9 : 882 + 217 -> 1099
Job 12 Operation 2 on Machine 2 : 884 + 1 -> 885
Job 11 Operation 5 on Machine 2 : 964 + 283 -> 1247
Job 8 Operation 2 on Machine 8 : 964 + 106 -> 1070
Job 12 Operation 3 on Machine 8 : 1070 + 311 -> 1381
Job 4 Operation 3 on Machine 0 : 1076 + 299 -> 1375
Job 8 Operation 3 on Machine 6 : 1087 + 175 -> 1262
Job 9 Operation 3 on Machine 7 : 1087 + 7 -> 1094
Job 9 Operation 4 on Machine 3 : 1094 + 26 -> 1120
Job 2 Operation 2 on Machine 9 : 1099 + 140 -> 1239
Job 9 Operation 5 on Machine 1 : 1120 + 270 -> 1390
Job 5 Operation 1 on Machine 3 : 1120 + 233 -> 1353
Job 10 Operation 6 on Machine 5 : 1152 + 230 -> 1382
Job 13 Operation 2 on Machine 2 : 1247 + 149 -> 1396
Job 11 Operation 6 on Machine 9 : 1247 + 258 -> 1505
Job 8 Operation 4 on Machine 4 : 1262 + 253 -> 1515
Job 14 Operation 0 on Machine 6 : 1262 + 177 -> 1439
Job 2 Operation 3 on Machine 0 : 1375 + 64 -> 1439
Job 12 Operation 4 on Machine 7 : 1381 + 300 -> 1681
Job 4 Operation 4 on Machine 8 : 1381 + 18 -> 1399
Job 4 Operation 5 on Machine 2 : 1399 + 282 -> 1681
Job 3 Operation 4 on Machine 8 : 1399 + 240 -> 1639
Job 14 Operation 1 on Machine 0 : 1439 + 267 -> 1706
Job 2 Operation 4 on Machine 5 : 1439 + 200 -> 1639
Job 13 Operation 3 on Machine 6 : 1439 + 240 -> 1679
Job 11 Operation 7 on Machine 1 : 1505 + 236 -> 1741
Job 6 Operation 3 on Machine 9 : 1505 + 49 -> 1554
Job 6 Operation 4 on Machine 3 : 1554 + 109 -> 1663
Job 8 Operation 5 on Machine 9 : 1554 + 265 -> 1819
Job 2 Operation 5 on Machine 4 : 1639 + 161 -> 1800
Job 3 Operation 5 on Machine 5 : 1639 + 290 -> 1929
Job 5 Operation 2 on Machine 8 : 1639 + 35 -> 1674
Job 1 Operation 5 on Machine 6 : 1679 + 138 -> 1817
Job 13 Operation 4 on Machine 8 : 1679 + 241 -> 1920
Job 9 Operation 6 on Machine 2 : 1681 + 120 -> 1801
Job 4 Operation 6 on Machine 7 : 1681 + 176 -> 1857
Job 5 Operation 3 on Machine 0 : 1706 + 279 -> 1985
Job 12 Operation 5 on Machine 1 : 1741 + 135 -> 1876
Job 6 Operation 5 on Machine 4 : 1800 + 313 -> 2113
Job 7 Operation 9 on Machine 2 : 1801 + 318 -> 2119
Job 0 Operation 4 on Machine 6 : 1817 + 265 -> 2082
Job 14 Operation 2 on Machine 7 : 1857 + 272 -> 2129
Job 10 Operation 7 on Machine 1 : 1876 + 303 -> 2179
Job 12 Operation 6 on Machine 3 : 1876 + 80 -> 1956
Job 4 Operation 7 on Machine 5 : 1929 + 28 -> 1957
Job 13 Operation 5 on Machine 5 : 1957 + 228 -> 2185
Job 1 Operation 6 on Machine 0 : 1985 + 299 -> 2284
Job 5 Operation 4 on Machine 9 : 1985 + 313 -> 2298
Job 2 Operation 6 on Machine 6 : 2082 + 116 -> 2198
Job 0 Operation 5 on Machine 2 : 2119 + 308 -> 2427
Job 14 Operation 3 on Machine 4 : 2129 + 59 -> 2188
Job 3 Operation 6 on Machine 7 : 2129 + 100 -> 2229
Job 8 Operation 6 on Machine 5 : 2185 + 269 -> 2454
Job 14 Operation 4 on Machine 1 : 2188 + 11 -> 2199
Job 10 Operation 8 on Machine 4 : 2188 + 140 -> 2328
Job 4 Operation 8 on Machine 6 : 2198 + 314 -> 2512
Job 2 Operation 7 on Machine 1 : 2199 + 241 -> 2440
Job 14 Operation 5 on Machine 8 : 2199 + 169 -> 2368
Job 3 Operation 7 on Machine 3 : 2229 + 105 -> 2334
Job 13 Operation 6 on Machine 7 : 2229 + 311 -> 2540
Job 6 Operation 6 on Machine 0 : 2284 + 26 -> 2310
Job 12 Operation 7 on Machine 4 : 2328 + 284 -> 2612
Job 3 Operation 8 on Machine 0 : 2334 + 97 -> 2431
Job 14 Operation 6 on Machine 3 : 2368 + 198 -> 2566
Job 1 Operation 7 on Machine 8 : 2368 + 306 -> 2674
Job 10 Operation 9 on Machine 2 : 2427 + 212 -> 2639
Job 9 Operation 7 on Machine 0 : 2431 + 109 -> 2540
Job 5 Operation 5 on Machine 1 : 2440 + 93 -> 2533
Job 0 Operation 6 on Machine 5 : 2454 + 306 -> 2760
Job 4 Operation 9 on Machine 1 : 2533 + 263 -> 2796
Job 13 Operation 7 on Machine 0 : 2540 + 29 -> 2569
Job 5 Operation 6 on Machine 7 : 2540 + 135 -> 2675
Job 8 Operation 7 on Machine 3 : 2566 + 80 -> 2646
Job 14 Operation 7 on Machine 9 : 2566 + 245 -> 2811
Job 3 Operation 9 on Machine 4 : 2612 + 90 -> 2702
Job 12 Operation 8 on Machine 6 : 2612 + 156 -> 2768
Job 8 Operation 8 on Machine 2 : 2646 + 192 -> 2838
Job 13 Operation 8 on Machine 3 : 2646 + 179 -> 2825
Job 9 Operation 8 on Machine 8 : 2674 + 30 -> 2704
Job 2 Operation 8 on Machine 7 : 2675 + 240 -> 2915
Job 5 Operation 7 on Machine 4 : 2702 + 74 -> 2776
Job 6 Operation 7 on Machine 8 : 2704 + 159 -> 2863
Job 0 Operation 7 on Machine 0 : 2760 + 169 -> 2929
Job 9 Operation 9 on Machine 4 : 2776 + 46 -> 2822
Job 5 Operation 8 on Machine 5 : 2776 + 224 -> 3000
Job 1 Operation 8 on Machine 1 : 2796 + 275 -> 3071
Job 13 Operation 9 on Machine 4 : 2825 + 288 -> 3113
Job 14 Operation 8 on Machine 2 : 2838 + 262 -> 3100
Job 6 Operation 8 on Machine 6 : 2863 + 280 -> 3143
Job 2 Operation 9 on Machine 8 : 2915 + 265 -> 3180
Job 11 Operation 8 on Machine 0 : 2929 + 295 -> 3224
Job 0 Operation 8 on Machine 7 : 2929 + 281 -> 3210
Job 8 Operation 9 on Machine 1 : 3071 + 309 -> 3380
Job 5 Operation 9 on Machine 2 : 3100 + 109 -> 3209
Job 14 Operation 9 on Machine 5 : 3100 + 113 -> 3213
Job 1 Operation 9 on Machine 4 : 3113 + 262 -> 3375
Job 6 Operation 9 on Machine 7 : 3210 + 85 -> 3295
Job 0 Operation 9 on Machine 9 : 3210 + 168 -> 3378
Job 12 Operation 9 on Machine 0 : 3224 + 137 -> 3361
Job 11 Operation 9 on Machine 3 : 3224 + 104 -> 3328
Makespan: 3380.0, as it is the maximum end completion time of Operation 9 |
9 | 7 | Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 20 mins.
Operation 1 on Machine 4 duration 78 mins.
Operation 2 on Machine 1 duration 64 mins.
Operation 3 on Machine 3 duration 45 mins.
Operation 4 on Machine 2 duration 67 mins.
Operation 5 on Machine 5 duration 47 mins.
Operation 6 on Machine 6 duration 14 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 34 mins.
Operation 1 on Machine 1 duration 23 mins.
Operation 2 on Machine 0 duration 13 mins.
Operation 3 on Machine 3 duration 15 mins.
Operation 4 on Machine 5 duration 22 mins.
Operation 5 on Machine 4 duration 15 mins.
Operation 6 on Machine 2 duration 70 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 59 mins.
Operation 1 on Machine 3 duration 23 mins.
Operation 2 on Machine 0 duration 22 mins.
Operation 3 on Machine 4 duration 15 mins.
Operation 4 on Machine 1 duration 40 mins.
Operation 5 on Machine 2 duration 41 mins.
Operation 6 on Machine 5 duration 66 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 78 mins.
Operation 1 on Machine 1 duration 24 mins.
Operation 2 on Machine 5 duration 3 mins.
Operation 3 on Machine 0 duration 21 mins.
Operation 4 on Machine 4 duration 51 mins.
Operation 5 on Machine 2 duration 56 mins.
Operation 6 on Machine 3 duration 30 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 17 mins.
Operation 1 on Machine 3 duration 10 mins.
Operation 2 on Machine 6 duration 77 mins.
Operation 3 on Machine 1 duration 25 mins.
Operation 4 on Machine 0 duration 78 mins.
Operation 5 on Machine 4 duration 20 mins.
Operation 6 on Machine 5 duration 75 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 20 mins.
Operation 1 on Machine 3 duration 24 mins.
Operation 2 on Machine 2 duration 78 mins.
Operation 3 on Machine 4 duration 16 mins.
Operation 4 on Machine 5 duration 54 mins.
Operation 5 on Machine 1 duration 13 mins.
Operation 6 on Machine 6 duration 48 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 6 duration 50 mins.
Operation 2 on Machine 2 duration 2 mins.
Operation 3 on Machine 3 duration 67 mins.
Operation 4 on Machine 5 duration 54 mins.
Operation 5 on Machine 4 duration 57 mins.
Operation 6 on Machine 0 duration 43 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 75 mins.
Operation 1 on Machine 0 duration 39 mins.
Operation 2 on Machine 4 duration 47 mins.
Operation 3 on Machine 2 duration 40 mins.
Operation 4 on Machine 1 duration 49 mins.
Operation 5 on Machine 3 duration 58 mins.
Operation 6 on Machine 5 duration 31 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 71 mins.
Operation 1 on Machine 0 duration 18 mins.
Operation 2 on Machine 2 duration 15 mins.
Operation 3 on Machine 3 duration 27 mins.
Operation 4 on Machine 1 duration 32 mins.
Operation 5 on Machine 6 duration 8 mins.
Operation 6 on Machine 4 duration 55 mins.
| Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 20 mins.
Job 5 Operation 0 duration 20 mins.
Job 7 Operation 1 duration 39 mins.
Job 8 Operation 1 duration 18 mins.
Job 1 Operation 2 duration 13 mins.
Job 2 Operation 2 duration 22 mins.
Job 3 Operation 3 duration 21 mins.
Job 4 Operation 4 duration 78 mins.
Job 6 Operation 6 duration 43 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 2 mins.
Job 1 Operation 1 duration 23 mins.
Job 3 Operation 1 duration 24 mins.
Job 0 Operation 2 duration 64 mins.
Job 4 Operation 3 duration 25 mins.
Job 2 Operation 4 duration 40 mins.
Job 7 Operation 4 duration 49 mins.
Job 8 Operation 4 duration 32 mins.
Job 5 Operation 5 duration 13 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 17 mins.
Job 5 Operation 2 duration 78 mins.
Job 6 Operation 2 duration 2 mins.
Job 8 Operation 2 duration 15 mins.
Job 7 Operation 3 duration 40 mins.
Job 0 Operation 4 duration 67 mins.
Job 2 Operation 5 duration 41 mins.
Job 3 Operation 5 duration 56 mins.
Job 1 Operation 6 duration 70 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 23 mins.
Job 4 Operation 1 duration 10 mins.
Job 5 Operation 1 duration 24 mins.
Job 0 Operation 3 duration 45 mins.
Job 1 Operation 3 duration 15 mins.
Job 6 Operation 3 duration 67 mins.
Job 8 Operation 3 duration 27 mins.
Job 7 Operation 5 duration 58 mins.
Job 3 Operation 6 duration 30 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 78 mins.
Job 7 Operation 2 duration 47 mins.
Job 2 Operation 3 duration 15 mins.
Job 5 Operation 3 duration 16 mins.
Job 3 Operation 4 duration 51 mins.
Job 1 Operation 5 duration 15 mins.
Job 4 Operation 5 duration 20 mins.
Job 6 Operation 5 duration 57 mins.
Job 8 Operation 6 duration 55 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 0 duration 71 mins.
Job 3 Operation 2 duration 3 mins.
Job 1 Operation 4 duration 22 mins.
Job 5 Operation 4 duration 54 mins.
Job 6 Operation 4 duration 54 mins.
Job 0 Operation 5 duration 47 mins.
Job 2 Operation 6 duration 66 mins.
Job 4 Operation 6 duration 75 mins.
Job 7 Operation 6 duration 31 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 34 mins.
Job 2 Operation 0 duration 59 mins.
Job 3 Operation 0 duration 78 mins.
Job 7 Operation 0 duration 75 mins.
Job 6 Operation 1 duration 50 mins.
Job 4 Operation 2 duration 77 mins.
Job 8 Operation 5 duration 8 mins.
Job 0 Operation 6 duration 14 mins.
Job 5 Operation 6 duration 48 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 20 -> 20
Job 6 Operation 0 on Machine 1 : 0 + 2 -> 2
Job 4 Operation 0 on Machine 2 : 0 + 17 -> 17
Job 8 Operation 0 on Machine 5 : 0 + 71 -> 71
Job 7 Operation 0 on Machine 6 : 0 + 75 -> 75
Job 0 Operation 0 on Machine 0 : 20 + 20 -> 40
Job 5 Operation 1 on Machine 3 : 20 + 24 -> 44
Job 0 Operation 1 on Machine 4 : 40 + 78 -> 118
Job 5 Operation 2 on Machine 2 : 44 + 78 -> 122
Job 4 Operation 1 on Machine 3 : 44 + 10 -> 54
Job 8 Operation 1 on Machine 0 : 71 + 18 -> 89
Job 6 Operation 1 on Machine 6 : 75 + 50 -> 125
Job 7 Operation 1 on Machine 0 : 89 + 39 -> 128
Job 0 Operation 2 on Machine 1 : 118 + 64 -> 182
Job 5 Operation 3 on Machine 4 : 122 + 16 -> 138
Job 6 Operation 2 on Machine 2 : 125 + 2 -> 127
Job 4 Operation 2 on Machine 6 : 125 + 77 -> 202
Job 8 Operation 2 on Machine 2 : 127 + 15 -> 142
Job 6 Operation 3 on Machine 3 : 127 + 67 -> 194
Job 7 Operation 2 on Machine 4 : 138 + 47 -> 185
Job 5 Operation 4 on Machine 5 : 138 + 54 -> 192
Job 7 Operation 3 on Machine 2 : 185 + 40 -> 225
Job 0 Operation 3 on Machine 3 : 194 + 45 -> 239
Job 6 Operation 4 on Machine 5 : 194 + 54 -> 248
Job 4 Operation 3 on Machine 1 : 202 + 25 -> 227
Job 3 Operation 0 on Machine 6 : 202 + 78 -> 280
Job 4 Operation 4 on Machine 0 : 227 + 78 -> 305
Job 7 Operation 4 on Machine 1 : 227 + 49 -> 276
Job 0 Operation 4 on Machine 2 : 239 + 67 -> 306
Job 8 Operation 3 on Machine 3 : 239 + 27 -> 266
Job 7 Operation 5 on Machine 3 : 276 + 58 -> 334
Job 3 Operation 1 on Machine 1 : 280 + 24 -> 304
Job 2 Operation 0 on Machine 6 : 280 + 59 -> 339
Job 8 Operation 4 on Machine 1 : 304 + 32 -> 336
Job 3 Operation 2 on Machine 5 : 304 + 3 -> 307
Job 4 Operation 5 on Machine 4 : 305 + 20 -> 325
Job 3 Operation 3 on Machine 0 : 307 + 21 -> 328
Job 0 Operation 5 on Machine 5 : 307 + 47 -> 354
Job 3 Operation 4 on Machine 4 : 328 + 51 -> 379
Job 5 Operation 5 on Machine 1 : 336 + 13 -> 349
Job 2 Operation 1 on Machine 3 : 339 + 23 -> 362
Job 1 Operation 0 on Machine 6 : 339 + 34 -> 373
Job 4 Operation 6 on Machine 5 : 354 + 75 -> 429
Job 2 Operation 2 on Machine 0 : 362 + 22 -> 384
Job 1 Operation 1 on Machine 1 : 373 + 23 -> 396
Job 5 Operation 6 on Machine 6 : 373 + 48 -> 421
Job 3 Operation 5 on Machine 2 : 379 + 56 -> 435
Job 2 Operation 3 on Machine 4 : 384 + 15 -> 399
Job 1 Operation 2 on Machine 0 : 396 + 13 -> 409
Job 2 Operation 4 on Machine 1 : 399 + 40 -> 439
Job 6 Operation 5 on Machine 4 : 399 + 57 -> 456
Job 1 Operation 3 on Machine 3 : 409 + 15 -> 424
Job 8 Operation 5 on Machine 6 : 421 + 8 -> 429
Job 1 Operation 4 on Machine 5 : 429 + 22 -> 451
Job 0 Operation 6 on Machine 6 : 429 + 14 -> 443
Job 3 Operation 6 on Machine 3 : 435 + 30 -> 465
Job 2 Operation 5 on Machine 2 : 439 + 41 -> 480
Job 7 Operation 6 on Machine 5 : 451 + 31 -> 482
Job 6 Operation 6 on Machine 0 : 456 + 43 -> 499
Job 1 Operation 5 on Machine 4 : 456 + 15 -> 471
Job 8 Operation 6 on Machine 4 : 471 + 55 -> 526
Job 1 Operation 6 on Machine 2 : 480 + 70 -> 550
Job 2 Operation 6 on Machine 5 : 482 + 66 -> 548
Makespan: 550.0, as it is the maximum end completion time of Operation 6 |
6 | 5 | Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 9 mins.
Operation 1 on Machine 1 duration 57 mins.
Operation 2 on Machine 3 duration 317 mins.
Operation 3 on Machine 4 duration 3 mins.
Operation 4 on Machine 0 duration 158 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 187 mins.
Operation 1 on Machine 2 duration 237 mins.
Operation 2 on Machine 4 duration 208 mins.
Operation 3 on Machine 1 duration 235 mins.
Operation 4 on Machine 0 duration 210 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 25 mins.
Operation 1 on Machine 3 duration 344 mins.
Operation 2 on Machine 0 duration 94 mins.
Operation 3 on Machine 1 duration 289 mins.
Operation 4 on Machine 2 duration 347 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 30 mins.
Operation 1 on Machine 4 duration 182 mins.
Operation 2 on Machine 0 duration 36 mins.
Operation 3 on Machine 2 duration 277 mins.
Operation 4 on Machine 1 duration 212 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 232 mins.
Operation 1 on Machine 2 duration 142 mins.
Operation 2 on Machine 3 duration 235 mins.
Operation 3 on Machine 4 duration 173 mins.
Operation 4 on Machine 0 duration 268 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 122 mins.
Operation 1 on Machine 2 duration 353 mins.
Operation 2 on Machine 3 duration 157 mins.
Operation 3 on Machine 0 duration 326 mins.
Operation 4 on Machine 1 duration 83 mins.
| Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 2 duration 94 mins.
Job 3 Operation 2 duration 36 mins.
Job 5 Operation 3 duration 326 mins.
Job 0 Operation 4 duration 158 mins.
Job 1 Operation 4 duration 210 mins.
Job 4 Operation 4 duration 268 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 232 mins.
Job 0 Operation 1 duration 57 mins.
Job 1 Operation 3 duration 235 mins.
Job 2 Operation 3 duration 289 mins.
Job 3 Operation 4 duration 212 mins.
Job 5 Operation 4 duration 83 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 9 mins.
Job 1 Operation 1 duration 237 mins.
Job 4 Operation 1 duration 142 mins.
Job 5 Operation 1 duration 353 mins.
Job 3 Operation 3 duration 277 mins.
Job 2 Operation 4 duration 347 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 187 mins.
Job 3 Operation 0 duration 30 mins.
Job 2 Operation 1 duration 344 mins.
Job 0 Operation 2 duration 317 mins.
Job 4 Operation 2 duration 235 mins.
Job 5 Operation 2 duration 157 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 25 mins.
Job 5 Operation 0 duration 122 mins.
Job 3 Operation 1 duration 182 mins.
Job 1 Operation 2 duration 208 mins.
Job 0 Operation 3 duration 3 mins.
Job 4 Operation 3 duration 173 mins.
| Solution:
Job 4 Operation 0 on Machine 1 : 0 + 232 -> 232
Job 0 Operation 0 on Machine 2 : 0 + 9 -> 9
Job 3 Operation 0 on Machine 3 : 0 + 30 -> 30
Job 2 Operation 0 on Machine 4 : 0 + 25 -> 25
Job 5 Operation 0 on Machine 4 : 25 + 122 -> 147
Job 1 Operation 0 on Machine 3 : 30 + 187 -> 217
Job 5 Operation 1 on Machine 2 : 147 + 353 -> 500
Job 3 Operation 1 on Machine 4 : 147 + 182 -> 329
Job 2 Operation 1 on Machine 3 : 217 + 344 -> 561
Job 0 Operation 1 on Machine 1 : 232 + 57 -> 289
Job 3 Operation 2 on Machine 0 : 329 + 36 -> 365
Job 1 Operation 1 on Machine 2 : 500 + 237 -> 737
Job 2 Operation 2 on Machine 0 : 561 + 94 -> 655
Job 5 Operation 2 on Machine 3 : 561 + 157 -> 718
Job 2 Operation 3 on Machine 1 : 655 + 289 -> 944
Job 5 Operation 3 on Machine 0 : 718 + 326 -> 1044
Job 0 Operation 2 on Machine 3 : 718 + 317 -> 1035
Job 4 Operation 1 on Machine 2 : 737 + 142 -> 879
Job 1 Operation 2 on Machine 4 : 737 + 208 -> 945
Job 3 Operation 3 on Machine 2 : 879 + 277 -> 1156
Job 1 Operation 3 on Machine 1 : 945 + 235 -> 1180
Job 4 Operation 2 on Machine 3 : 1035 + 235 -> 1270
Job 0 Operation 3 on Machine 4 : 1035 + 3 -> 1038
Job 0 Operation 4 on Machine 0 : 1044 + 158 -> 1202
Job 2 Operation 4 on Machine 2 : 1156 + 347 -> 1503
Job 3 Operation 4 on Machine 1 : 1180 + 212 -> 1392
Job 1 Operation 4 on Machine 0 : 1202 + 210 -> 1412
Job 4 Operation 3 on Machine 4 : 1270 + 173 -> 1443
Job 5 Operation 4 on Machine 1 : 1392 + 83 -> 1475
Job 4 Operation 4 on Machine 0 : 1443 + 268 -> 1711
Makespan: 1711.0, as it is the maximum end completion time of Operation 4 |
10 | 3 | Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 82 mins.
Operation 1 on Machine 1 duration 235 mins.
Operation 2 on Machine 0 duration 210 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 143 mins.
Operation 1 on Machine 1 duration 180 mins.
Operation 2 on Machine 2 duration 1 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 187 mins.
Operation 1 on Machine 0 duration 230 mins.
Operation 2 on Machine 2 duration 65 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 175 mins.
Operation 1 on Machine 1 duration 163 mins.
Operation 2 on Machine 0 duration 187 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 180 mins.
Operation 1 on Machine 0 duration 142 mins.
Operation 2 on Machine 2 duration 75 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 72 mins.
Operation 1 on Machine 0 duration 88 mins.
Operation 2 on Machine 2 duration 90 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 129 mins.
Operation 1 on Machine 2 duration 215 mins.
Operation 2 on Machine 0 duration 12 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 6 mins.
Operation 1 on Machine 1 duration 160 mins.
Operation 2 on Machine 0 duration 11 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 2 duration 179 mins.
Operation 2 on Machine 0 duration 135 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 157 mins.
Operation 1 on Machine 0 duration 230 mins.
Operation 2 on Machine 1 duration 118 mins.
| Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 143 mins.
Job 2 Operation 1 duration 230 mins.
Job 4 Operation 1 duration 142 mins.
Job 5 Operation 1 duration 88 mins.
Job 9 Operation 1 duration 230 mins.
Job 0 Operation 2 duration 210 mins.
Job 3 Operation 2 duration 187 mins.
Job 6 Operation 2 duration 12 mins.
Job 7 Operation 2 duration 11 mins.
Job 8 Operation 2 duration 135 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 187 mins.
Job 4 Operation 0 duration 180 mins.
Job 5 Operation 0 duration 72 mins.
Job 6 Operation 0 duration 129 mins.
Job 8 Operation 0 duration 2 mins.
Job 0 Operation 1 duration 235 mins.
Job 1 Operation 1 duration 180 mins.
Job 3 Operation 1 duration 163 mins.
Job 7 Operation 1 duration 160 mins.
Job 9 Operation 2 duration 118 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 82 mins.
Job 3 Operation 0 duration 175 mins.
Job 7 Operation 0 duration 6 mins.
Job 9 Operation 0 duration 157 mins.
Job 6 Operation 1 duration 215 mins.
Job 8 Operation 1 duration 179 mins.
Job 1 Operation 2 duration 1 mins.
Job 2 Operation 2 duration 65 mins.
Job 4 Operation 2 duration 75 mins.
Job 5 Operation 2 duration 90 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 143 -> 143
Job 8 Operation 0 on Machine 1 : 0 + 2 -> 2
Job 9 Operation 0 on Machine 2 : 0 + 157 -> 157
Job 5 Operation 0 on Machine 1 : 2 + 72 -> 74
Job 6 Operation 0 on Machine 1 : 74 + 129 -> 203
Job 5 Operation 1 on Machine 0 : 143 + 88 -> 231
Job 7 Operation 0 on Machine 2 : 157 + 6 -> 163
Job 0 Operation 0 on Machine 2 : 163 + 82 -> 245
Job 4 Operation 0 on Machine 1 : 203 + 180 -> 383
Job 9 Operation 1 on Machine 0 : 231 + 230 -> 461
Job 8 Operation 1 on Machine 2 : 245 + 179 -> 424
Job 2 Operation 0 on Machine 1 : 383 + 187 -> 570
Job 5 Operation 2 on Machine 2 : 424 + 90 -> 514
Job 4 Operation 1 on Machine 0 : 461 + 142 -> 603
Job 3 Operation 0 on Machine 2 : 514 + 175 -> 689
Job 1 Operation 1 on Machine 1 : 570 + 180 -> 750
Job 8 Operation 2 on Machine 0 : 603 + 135 -> 738
Job 6 Operation 1 on Machine 2 : 689 + 215 -> 904
Job 2 Operation 1 on Machine 0 : 738 + 230 -> 968
Job 0 Operation 1 on Machine 1 : 750 + 235 -> 985
Job 4 Operation 2 on Machine 2 : 904 + 75 -> 979
Job 6 Operation 2 on Machine 0 : 968 + 12 -> 980
Job 1 Operation 2 on Machine 2 : 979 + 1 -> 980
Job 2 Operation 2 on Machine 2 : 980 + 65 -> 1045
Job 0 Operation 2 on Machine 0 : 985 + 210 -> 1195
Job 3 Operation 1 on Machine 1 : 985 + 163 -> 1148
Job 7 Operation 1 on Machine 1 : 1148 + 160 -> 1308
Job 3 Operation 2 on Machine 0 : 1195 + 187 -> 1382
Job 9 Operation 2 on Machine 1 : 1308 + 118 -> 1426
Job 7 Operation 2 on Machine 0 : 1382 + 11 -> 1393
Makespan: 1426.0, as it is the maximum end completion time of Operation 2 |
3 | 2 | Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 68 mins.
Operation 1 on Machine 0 duration 123 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 1 mins.
Operation 1 on Machine 0 duration 68 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 29 mins.
Operation 1 on Machine 0 duration 89 mins.
| Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 123 mins.
Job 1 Operation 1 duration 68 mins.
Job 2 Operation 1 duration 89 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 68 mins.
Job 1 Operation 0 duration 1 mins.
Job 2 Operation 0 duration 29 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 1 -> 1
Job 1 Operation 1 on Machine 0 : 1 + 68 -> 69
Job 2 Operation 0 on Machine 1 : 1 + 29 -> 30
Job 0 Operation 0 on Machine 1 : 30 + 68 -> 98
Job 2 Operation 1 on Machine 0 : 69 + 89 -> 158
Job 0 Operation 1 on Machine 0 : 158 + 123 -> 281
Makespan: 281.0, as it is the maximum end completion time of Operation 1 |
8 | 2 | Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 138 mins.
Operation 1 on Machine 1 duration 134 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 30 mins.
Operation 1 on Machine 0 duration 80 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 170 mins.
Operation 1 on Machine 0 duration 219 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 251 mins.
Operation 1 on Machine 1 duration 131 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 119 mins.
Operation 1 on Machine 1 duration 253 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 195 mins.
Operation 1 on Machine 0 duration 79 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 268 mins.
Operation 1 on Machine 0 duration 117 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 33 mins.
Operation 1 on Machine 0 duration 188 mins.
| Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 138 mins.
Job 3 Operation 0 duration 251 mins.
Job 4 Operation 0 duration 119 mins.
Job 1 Operation 1 duration 80 mins.
Job 2 Operation 1 duration 219 mins.
Job 5 Operation 1 duration 79 mins.
Job 6 Operation 1 duration 117 mins.
Job 7 Operation 1 duration 188 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 30 mins.
Job 2 Operation 0 duration 170 mins.
Job 5 Operation 0 duration 195 mins.
Job 6 Operation 0 duration 268 mins.
Job 7 Operation 0 duration 33 mins.
Job 0 Operation 1 duration 134 mins.
Job 3 Operation 1 duration 131 mins.
Job 4 Operation 1 duration 253 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 119 -> 119
Job 1 Operation 0 on Machine 1 : 0 + 30 -> 30
Job 7 Operation 0 on Machine 1 : 30 + 33 -> 63
Job 2 Operation 0 on Machine 1 : 63 + 170 -> 233
Job 1 Operation 1 on Machine 0 : 119 + 80 -> 199
Job 0 Operation 0 on Machine 0 : 199 + 138 -> 337
Job 5 Operation 0 on Machine 1 : 233 + 195 -> 428
Job 7 Operation 1 on Machine 0 : 337 + 188 -> 525
Job 0 Operation 1 on Machine 1 : 428 + 134 -> 562
Job 5 Operation 1 on Machine 0 : 525 + 79 -> 604
Job 4 Operation 1 on Machine 1 : 562 + 253 -> 815
Job 2 Operation 1 on Machine 0 : 604 + 219 -> 823
Job 6 Operation 0 on Machine 1 : 815 + 268 -> 1083
Job 3 Operation 0 on Machine 0 : 823 + 251 -> 1074
Job 6 Operation 1 on Machine 0 : 1083 + 117 -> 1200
Job 3 Operation 1 on Machine 1 : 1083 + 131 -> 1214
Makespan: 1214.0, as it is the maximum end completion time of Operation 1 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 64 mins.
Operation 1 on Machine 7 duration 89 mins.
Operation 2 on Machine 5 duration 74 mins.
Operation 3 on Machine 0 duration 61 mins.
Operation 4 on Machine 6 duration 44 mins.
Operation 5 on Machine 3 duration 89 mins.
Operation 6 on Machine 2 duration 56 mins.
Operation 7 on Machine 4 duration 71 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 90 mins.
Operation 1 on Machine 2 duration 72 mins.
Operation 2 on Machine 5 duration 25 mins.
Operation 3 on Machine 3 duration 26 mins.
Operation 4 on Machine 0 duration 84 mins.
Operation 5 on Machine 6 duration 51 mins.
Operation 6 on Machine 4 duration 88 mins.
Operation 7 on Machine 7 duration 59 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 17 mins.
Operation 1 on Machine 1 duration 72 mins.
Operation 2 on Machine 4 duration 7 mins.
Operation 3 on Machine 5 duration 71 mins.
Operation 4 on Machine 3 duration 56 mins.
Operation 5 on Machine 6 duration 41 mins.
Operation 6 on Machine 0 duration 29 mins.
Operation 7 on Machine 2 duration 47 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 76 mins.
Operation 1 on Machine 1 duration 71 mins.
Operation 2 on Machine 6 duration 30 mins.
Operation 3 on Machine 3 duration 20 mins.
Operation 4 on Machine 4 duration 57 mins.
Operation 5 on Machine 7 duration 50 mins.
Operation 6 on Machine 5 duration 24 mins.
Operation 7 on Machine 0 duration 7 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 82 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 0 duration 24 mins.
Operation 3 on Machine 6 duration 74 mins.
Operation 4 on Machine 1 duration 19 mins.
Operation 5 on Machine 4 duration 55 mins.
Operation 6 on Machine 5 duration 87 mins.
Operation 7 on Machine 7 duration 64 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 26 mins.
Operation 1 on Machine 0 duration 59 mins.
Operation 2 on Machine 2 duration 41 mins.
Operation 3 on Machine 3 duration 56 mins.
Operation 4 on Machine 6 duration 55 mins.
Operation 5 on Machine 7 duration 15 mins.
Operation 6 on Machine 1 duration 22 mins.
Operation 7 on Machine 5 duration 26 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 61 mins.
Operation 1 on Machine 1 duration 50 mins.
Operation 2 on Machine 2 duration 22 mins.
Operation 3 on Machine 4 duration 71 mins.
Operation 4 on Machine 5 duration 75 mins.
Operation 5 on Machine 7 duration 24 mins.
Operation 6 on Machine 3 duration 4 mins.
Operation 7 on Machine 0 duration 86 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 83 mins.
Operation 1 on Machine 6 duration 62 mins.
Operation 2 on Machine 2 duration 62 mins.
Operation 3 on Machine 7 duration 51 mins.
Operation 4 on Machine 0 duration 86 mins.
Operation 5 on Machine 5 duration 30 mins.
Operation 6 on Machine 3 duration 38 mins.
Operation 7 on Machine 1 duration 65 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 85 mins.
Operation 1 on Machine 7 duration 25 mins.
Operation 2 on Machine 5 duration 60 mins.
Operation 3 on Machine 2 duration 36 mins.
Operation 4 on Machine 0 duration 61 mins.
Operation 5 on Machine 6 duration 68 mins.
Operation 6 on Machine 4 duration 34 mins.
Operation 7 on Machine 3 duration 12 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 69 mins.
Operation 1 on Machine 2 duration 31 mins.
Operation 2 on Machine 4 duration 24 mins.
Operation 3 on Machine 6 duration 46 mins.
Operation 4 on Machine 3 duration 84 mins.
Operation 5 on Machine 7 duration 33 mins.
Operation 6 on Machine 5 duration 61 mins.
Operation 7 on Machine 1 duration 59 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 9 Operation 0 duration 69 mins.
Job 5 Operation 1 duration 59 mins.
Job 4 Operation 2 duration 24 mins.
Job 0 Operation 3 duration 61 mins.
Job 1 Operation 4 duration 84 mins.
Job 7 Operation 4 duration 86 mins.
Job 8 Operation 4 duration 61 mins.
Job 2 Operation 6 duration 29 mins.
Job 3 Operation 7 duration 7 mins.
Job 6 Operation 7 duration 86 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 64 mins.
Job 1 Operation 0 duration 90 mins.
Job 8 Operation 0 duration 85 mins.
Job 2 Operation 1 duration 72 mins.
Job 3 Operation 1 duration 71 mins.
Job 6 Operation 1 duration 50 mins.
Job 4 Operation 4 duration 19 mins.
Job 5 Operation 6 duration 22 mins.
Job 7 Operation 7 duration 65 mins.
Job 9 Operation 7 duration 59 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 76 mins.
Job 1 Operation 1 duration 72 mins.
Job 4 Operation 1 duration 3 mins.
Job 9 Operation 1 duration 31 mins.
Job 5 Operation 2 duration 41 mins.
Job 6 Operation 2 duration 22 mins.
Job 7 Operation 2 duration 62 mins.
Job 8 Operation 3 duration 36 mins.
Job 0 Operation 6 duration 56 mins.
Job 2 Operation 7 duration 47 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 82 mins.
Job 1 Operation 3 duration 26 mins.
Job 3 Operation 3 duration 20 mins.
Job 5 Operation 3 duration 56 mins.
Job 2 Operation 4 duration 56 mins.
Job 9 Operation 4 duration 84 mins.
Job 0 Operation 5 duration 89 mins.
Job 6 Operation 6 duration 4 mins.
Job 7 Operation 6 duration 38 mins.
Job 8 Operation 7 duration 12 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 26 mins.
Job 7 Operation 0 duration 83 mins.
Job 2 Operation 2 duration 7 mins.
Job 9 Operation 2 duration 24 mins.
Job 6 Operation 3 duration 71 mins.
Job 3 Operation 4 duration 57 mins.
Job 4 Operation 5 duration 55 mins.
Job 1 Operation 6 duration 88 mins.
Job 8 Operation 6 duration 34 mins.
Job 0 Operation 7 duration 71 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 2 duration 74 mins.
Job 1 Operation 2 duration 25 mins.
Job 8 Operation 2 duration 60 mins.
Job 2 Operation 3 duration 71 mins.
Job 6 Operation 4 duration 75 mins.
Job 7 Operation 5 duration 30 mins.
Job 3 Operation 6 duration 24 mins.
Job 4 Operation 6 duration 87 mins.
Job 9 Operation 6 duration 61 mins.
Job 5 Operation 7 duration 26 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 61 mins.
Job 7 Operation 1 duration 62 mins.
Job 3 Operation 2 duration 30 mins.
Job 4 Operation 3 duration 74 mins.
Job 9 Operation 3 duration 46 mins.
Job 0 Operation 4 duration 44 mins.
Job 5 Operation 4 duration 55 mins.
Job 1 Operation 5 duration 51 mins.
Job 2 Operation 5 duration 41 mins.
Job 8 Operation 5 duration 68 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 17 mins.
Job 0 Operation 1 duration 89 mins.
Job 8 Operation 1 duration 25 mins.
Job 7 Operation 3 duration 51 mins.
Job 3 Operation 5 duration 50 mins.
Job 5 Operation 5 duration 15 mins.
Job 6 Operation 5 duration 24 mins.
Job 9 Operation 5 duration 33 mins.
Job 1 Operation 7 duration 59 mins.
Job 4 Operation 7 duration 64 mins.
| Solution:
Job 9 Operation 0 on Machine 0 : 0 + 69 -> 69
Job 0 Operation 0 on Machine 1 : 0 + 64 -> 64
Job 3 Operation 0 on Machine 2 : 0 + 76 -> 76
Job 4 Operation 0 on Machine 3 : 0 + 82 -> 82
Job 5 Operation 0 on Machine 4 : 0 + 26 -> 26
Job 6 Operation 0 on Machine 6 : 0 + 61 -> 61
Job 2 Operation 0 on Machine 7 : 0 + 17 -> 17
Job 7 Operation 0 on Machine 4 : 26 + 83 -> 109
Job 1 Operation 0 on Machine 1 : 64 + 90 -> 154
Job 0 Operation 1 on Machine 7 : 64 + 89 -> 153
Job 5 Operation 1 on Machine 0 : 69 + 59 -> 128
Job 9 Operation 1 on Machine 2 : 76 + 31 -> 107
Job 4 Operation 1 on Machine 2 : 107 + 3 -> 110
Job 9 Operation 2 on Machine 4 : 109 + 24 -> 133
Job 7 Operation 1 on Machine 6 : 109 + 62 -> 171
Job 4 Operation 2 on Machine 0 : 128 + 24 -> 152
Job 5 Operation 2 on Machine 2 : 128 + 41 -> 169
Job 0 Operation 2 on Machine 5 : 153 + 74 -> 227
Job 2 Operation 1 on Machine 1 : 154 + 72 -> 226
Job 1 Operation 1 on Machine 2 : 169 + 72 -> 241
Job 5 Operation 3 on Machine 3 : 169 + 56 -> 225
Job 4 Operation 3 on Machine 6 : 171 + 74 -> 245
Job 2 Operation 2 on Machine 4 : 226 + 7 -> 233
Job 0 Operation 3 on Machine 0 : 227 + 61 -> 288
Job 7 Operation 2 on Machine 2 : 241 + 62 -> 303
Job 1 Operation 2 on Machine 5 : 241 + 25 -> 266
Job 4 Operation 4 on Machine 1 : 245 + 19 -> 264
Job 9 Operation 3 on Machine 6 : 245 + 46 -> 291
Job 6 Operation 1 on Machine 1 : 264 + 50 -> 314
Job 4 Operation 5 on Machine 4 : 264 + 55 -> 319
Job 1 Operation 3 on Machine 3 : 266 + 26 -> 292
Job 2 Operation 3 on Machine 5 : 266 + 71 -> 337
Job 5 Operation 4 on Machine 6 : 291 + 55 -> 346
Job 1 Operation 4 on Machine 0 : 292 + 84 -> 376
Job 9 Operation 4 on Machine 3 : 292 + 84 -> 376
Job 7 Operation 3 on Machine 7 : 303 + 51 -> 354
Job 8 Operation 0 on Machine 1 : 314 + 85 -> 399
Job 6 Operation 2 on Machine 2 : 314 + 22 -> 336
Job 6 Operation 3 on Machine 4 : 336 + 71 -> 407
Job 4 Operation 6 on Machine 5 : 337 + 87 -> 424
Job 0 Operation 4 on Machine 6 : 346 + 44 -> 390
Job 5 Operation 5 on Machine 7 : 354 + 15 -> 369
Job 7 Operation 4 on Machine 0 : 376 + 86 -> 462
Job 2 Operation 4 on Machine 3 : 376 + 56 -> 432
Job 1 Operation 5 on Machine 6 : 390 + 51 -> 441
Job 3 Operation 1 on Machine 1 : 399 + 71 -> 470
Job 8 Operation 1 on Machine 7 : 399 + 25 -> 424
Job 8 Operation 2 on Machine 5 : 424 + 60 -> 484
Job 9 Operation 5 on Machine 7 : 424 + 33 -> 457
Job 0 Operation 5 on Machine 3 : 432 + 89 -> 521
Job 1 Operation 6 on Machine 4 : 441 + 88 -> 529
Job 4 Operation 7 on Machine 7 : 457 + 64 -> 521
Job 5 Operation 6 on Machine 1 : 470 + 22 -> 492
Job 3 Operation 2 on Machine 6 : 470 + 30 -> 500
Job 8 Operation 3 on Machine 2 : 484 + 36 -> 520
Job 7 Operation 5 on Machine 5 : 484 + 30 -> 514
Job 2 Operation 5 on Machine 6 : 500 + 41 -> 541
Job 6 Operation 4 on Machine 5 : 514 + 75 -> 589
Job 8 Operation 4 on Machine 0 : 520 + 61 -> 581
Job 0 Operation 6 on Machine 2 : 521 + 56 -> 577
Job 3 Operation 3 on Machine 3 : 521 + 20 -> 541
Job 1 Operation 7 on Machine 7 : 529 + 59 -> 588
Job 7 Operation 6 on Machine 3 : 541 + 38 -> 579
Job 3 Operation 4 on Machine 4 : 541 + 57 -> 598
Job 7 Operation 7 on Machine 1 : 579 + 65 -> 644
Job 2 Operation 6 on Machine 0 : 581 + 29 -> 610
Job 8 Operation 5 on Machine 6 : 581 + 68 -> 649
Job 9 Operation 6 on Machine 5 : 589 + 61 -> 650
Job 6 Operation 5 on Machine 7 : 589 + 24 -> 613
Job 0 Operation 7 on Machine 4 : 598 + 71 -> 669
Job 2 Operation 7 on Machine 2 : 610 + 47 -> 657
Job 6 Operation 6 on Machine 3 : 613 + 4 -> 617
Job 3 Operation 5 on Machine 7 : 613 + 50 -> 663
Job 6 Operation 7 on Machine 0 : 617 + 86 -> 703
Job 9 Operation 7 on Machine 1 : 650 + 59 -> 709
Job 5 Operation 7 on Machine 5 : 650 + 26 -> 676
Job 8 Operation 6 on Machine 4 : 669 + 34 -> 703
Job 3 Operation 6 on Machine 5 : 676 + 24 -> 700
Job 3 Operation 7 on Machine 0 : 703 + 7 -> 710
Job 8 Operation 7 on Machine 3 : 703 + 12 -> 715
Makespan: 715.0, as it is the maximum end completion time of Operation 7 |
5 | 5 | Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 215 mins.
Operation 1 on Machine 3 duration 270 mins.
Operation 2 on Machine 1 duration 163 mins.
Operation 3 on Machine 2 duration 246 mins.
Operation 4 on Machine 4 duration 228 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 299 mins.
Operation 1 on Machine 0 duration 455 mins.
Operation 2 on Machine 2 duration 262 mins.
Operation 3 on Machine 4 duration 142 mins.
Operation 4 on Machine 1 duration 66 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 278 mins.
Operation 1 on Machine 3 duration 230 mins.
Operation 2 on Machine 0 duration 256 mins.
Operation 3 on Machine 4 duration 176 mins.
Operation 4 on Machine 2 duration 389 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 5 mins.
Operation 1 on Machine 4 duration 290 mins.
Operation 2 on Machine 3 duration 328 mins.
Operation 3 on Machine 2 duration 113 mins.
Operation 4 on Machine 0 duration 240 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 0 duration 89 mins.
Operation 2 on Machine 2 duration 6 mins.
Operation 3 on Machine 3 duration 240 mins.
Operation 4 on Machine 4 duration 217 mins.
| Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 215 mins.
Job 1 Operation 1 duration 455 mins.
Job 4 Operation 1 duration 89 mins.
Job 2 Operation 2 duration 256 mins.
Job 3 Operation 4 duration 240 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 278 mins.
Job 3 Operation 0 duration 5 mins.
Job 4 Operation 0 duration 44 mins.
Job 0 Operation 2 duration 163 mins.
Job 1 Operation 4 duration 66 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 2 duration 262 mins.
Job 4 Operation 2 duration 6 mins.
Job 0 Operation 3 duration 246 mins.
Job 3 Operation 3 duration 113 mins.
Job 2 Operation 4 duration 389 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 299 mins.
Job 0 Operation 1 duration 270 mins.
Job 2 Operation 1 duration 230 mins.
Job 3 Operation 2 duration 328 mins.
Job 4 Operation 3 duration 240 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 1 duration 290 mins.
Job 1 Operation 3 duration 142 mins.
Job 2 Operation 3 duration 176 mins.
Job 0 Operation 4 duration 228 mins.
Job 4 Operation 4 duration 217 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 215 -> 215
Job 3 Operation 0 on Machine 1 : 0 + 5 -> 5
Job 1 Operation 0 on Machine 3 : 0 + 299 -> 299
Job 2 Operation 0 on Machine 1 : 5 + 278 -> 283
Job 3 Operation 1 on Machine 4 : 5 + 290 -> 295
Job 4 Operation 0 on Machine 1 : 283 + 44 -> 327
Job 1 Operation 1 on Machine 0 : 299 + 455 -> 754
Job 0 Operation 1 on Machine 3 : 299 + 270 -> 569
Job 0 Operation 2 on Machine 1 : 569 + 163 -> 732
Job 2 Operation 1 on Machine 3 : 569 + 230 -> 799
Job 0 Operation 3 on Machine 2 : 732 + 246 -> 978
Job 2 Operation 2 on Machine 0 : 799 + 256 -> 1055
Job 3 Operation 2 on Machine 3 : 799 + 328 -> 1127
Job 1 Operation 2 on Machine 2 : 978 + 262 -> 1240
Job 0 Operation 4 on Machine 4 : 978 + 228 -> 1206
Job 4 Operation 1 on Machine 0 : 1055 + 89 -> 1144
Job 2 Operation 3 on Machine 4 : 1206 + 176 -> 1382
Job 4 Operation 2 on Machine 2 : 1240 + 6 -> 1246
Job 3 Operation 3 on Machine 2 : 1246 + 113 -> 1359
Job 4 Operation 3 on Machine 3 : 1246 + 240 -> 1486
Job 3 Operation 4 on Machine 0 : 1359 + 240 -> 1599
Job 2 Operation 4 on Machine 2 : 1382 + 389 -> 1771
Job 1 Operation 3 on Machine 4 : 1382 + 142 -> 1524
Job 1 Operation 4 on Machine 1 : 1524 + 66 -> 1590
Job 4 Operation 4 on Machine 4 : 1524 + 217 -> 1741
Makespan: 1771.0, as it is the maximum end completion time of Operation 4 |
10 | 10 | Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 9 duration 18 mins.
Operation 1 on Machine 6 duration 34 mins.
Operation 2 on Machine 1 duration 73 mins.
Operation 3 on Machine 5 duration 40 mins.
Operation 4 on Machine 0 duration 14 mins.
Operation 5 on Machine 8 duration 115 mins.
Operation 6 on Machine 3 duration 138 mins.
Operation 7 on Machine 7 duration 24 mins.
Operation 8 on Machine 4 duration 100 mins.
Operation 9 on Machine 2 duration 78 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 23 mins.
Operation 1 on Machine 4 duration 12 mins.
Operation 2 on Machine 2 duration 137 mins.
Operation 3 on Machine 3 duration 35 mins.
Operation 4 on Machine 0 duration 31 mins.
Operation 5 on Machine 6 duration 90 mins.
Operation 6 on Machine 5 duration 62 mins.
Operation 7 on Machine 9 duration 4 mins.
Operation 8 on Machine 8 duration 45 mins.
Operation 9 on Machine 1 duration 67 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 90 mins.
Operation 1 on Machine 2 duration 114 mins.
Operation 2 on Machine 9 duration 94 mins.
Operation 3 on Machine 0 duration 10 mins.
Operation 4 on Machine 1 duration 42 mins.
Operation 5 on Machine 5 duration 133 mins.
Operation 6 on Machine 7 duration 16 mins.
Operation 7 on Machine 8 duration 64 mins.
Operation 8 on Machine 3 duration 133 mins.
Operation 9 on Machine 6 duration 70 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 79 mins.
Operation 1 on Machine 2 duration 129 mins.
Operation 2 on Machine 0 duration 105 mins.
Operation 3 on Machine 8 duration 106 mins.
Operation 4 on Machine 3 duration 106 mins.
Operation 5 on Machine 1 duration 73 mins.
Operation 6 on Machine 4 duration 9 mins.
Operation 7 on Machine 6 duration 86 mins.
Operation 8 on Machine 9 duration 97 mins.
Operation 9 on Machine 7 duration 29 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 1 mins.
Operation 1 on Machine 7 duration 22 mins.
Operation 2 on Machine 1 duration 77 mins.
Operation 3 on Machine 2 duration 73 mins.
Operation 4 on Machine 0 duration 130 mins.
Operation 5 on Machine 8 duration 90 mins.
Operation 6 on Machine 6 duration 129 mins.
Operation 7 on Machine 9 duration 9 mins.
Operation 8 on Machine 4 duration 77 mins.
Operation 9 on Machine 3 duration 135 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 9 duration 86 mins.
Operation 1 on Machine 2 duration 17 mins.
Operation 2 on Machine 3 duration 1 mins.
Operation 3 on Machine 7 duration 126 mins.
Operation 4 on Machine 6 duration 80 mins.
Operation 5 on Machine 5 duration 55 mins.
Operation 6 on Machine 0 duration 97 mins.
Operation 7 on Machine 4 duration 102 mins.
Operation 8 on Machine 1 duration 7 mins.
Operation 9 on Machine 8 duration 8 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 9 duration 105 mins.
Operation 1 on Machine 1 duration 15 mins.
Operation 2 on Machine 7 duration 130 mins.
Operation 3 on Machine 5 duration 66 mins.
Operation 4 on Machine 4 duration 135 mins.
Operation 5 on Machine 2 duration 75 mins.
Operation 6 on Machine 0 duration 108 mins.
Operation 7 on Machine 8 duration 20 mins.
Operation 8 on Machine 3 duration 114 mins.
Operation 9 on Machine 6 duration 36 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 125 mins.
Operation 1 on Machine 6 duration 26 mins.
Operation 2 on Machine 7 duration 89 mins.
Operation 3 on Machine 1 duration 39 mins.
Operation 4 on Machine 2 duration 116 mins.
Operation 5 on Machine 9 duration 3 mins.
Operation 6 on Machine 5 duration 108 mins.
Operation 7 on Machine 3 duration 111 mins.
Operation 8 on Machine 4 duration 106 mins.
Operation 9 on Machine 0 duration 91 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 7 duration 121 mins.
Operation 1 on Machine 5 duration 107 mins.
Operation 2 on Machine 3 duration 14 mins.
Operation 3 on Machine 4 duration 44 mins.
Operation 4 on Machine 8 duration 101 mins.
Operation 5 on Machine 1 duration 40 mins.
Operation 6 on Machine 2 duration 36 mins.
Operation 7 on Machine 9 duration 66 mins.
Operation 8 on Machine 0 duration 100 mins.
Operation 9 on Machine 6 duration 116 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 60 mins.
Operation 1 on Machine 1 duration 113 mins.
Operation 2 on Machine 7 duration 130 mins.
Operation 3 on Machine 3 duration 2 mins.
Operation 4 on Machine 6 duration 23 mins.
Operation 5 on Machine 8 duration 56 mins.
Operation 6 on Machine 2 duration 137 mins.
Operation 7 on Machine 5 duration 30 mins.
Operation 8 on Machine 9 duration 132 mins.
Operation 9 on Machine 0 duration 108 mins.
| Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 2 duration 105 mins.
Job 2 Operation 3 duration 10 mins.
Job 0 Operation 4 duration 14 mins.
Job 1 Operation 4 duration 31 mins.
Job 4 Operation 4 duration 130 mins.
Job 5 Operation 6 duration 97 mins.
Job 6 Operation 6 duration 108 mins.
Job 8 Operation 8 duration 100 mins.
Job 7 Operation 9 duration 91 mins.
Job 9 Operation 9 duration 108 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 1 duration 15 mins.
Job 9 Operation 1 duration 113 mins.
Job 0 Operation 2 duration 73 mins.
Job 4 Operation 2 duration 77 mins.
Job 7 Operation 3 duration 39 mins.
Job 2 Operation 4 duration 42 mins.
Job 3 Operation 5 duration 73 mins.
Job 8 Operation 5 duration 40 mins.
Job 5 Operation 8 duration 7 mins.
Job 1 Operation 9 duration 67 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 114 mins.
Job 3 Operation 1 duration 129 mins.
Job 5 Operation 1 duration 17 mins.
Job 1 Operation 2 duration 137 mins.
Job 4 Operation 3 duration 73 mins.
Job 7 Operation 4 duration 116 mins.
Job 6 Operation 5 duration 75 mins.
Job 8 Operation 6 duration 36 mins.
Job 9 Operation 6 duration 137 mins.
Job 0 Operation 9 duration 78 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 2 duration 1 mins.
Job 8 Operation 2 duration 14 mins.
Job 1 Operation 3 duration 35 mins.
Job 9 Operation 3 duration 2 mins.
Job 3 Operation 4 duration 106 mins.
Job 0 Operation 6 duration 138 mins.
Job 7 Operation 7 duration 111 mins.
Job 2 Operation 8 duration 133 mins.
Job 6 Operation 8 duration 114 mins.
Job 4 Operation 9 duration 135 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 90 mins.
Job 9 Operation 0 duration 60 mins.
Job 1 Operation 1 duration 12 mins.
Job 8 Operation 3 duration 44 mins.
Job 6 Operation 4 duration 135 mins.
Job 3 Operation 6 duration 9 mins.
Job 5 Operation 7 duration 102 mins.
Job 0 Operation 8 duration 100 mins.
Job 4 Operation 8 duration 77 mins.
Job 7 Operation 8 duration 106 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 79 mins.
Job 4 Operation 0 duration 1 mins.
Job 8 Operation 1 duration 107 mins.
Job 0 Operation 3 duration 40 mins.
Job 6 Operation 3 duration 66 mins.
Job 2 Operation 5 duration 133 mins.
Job 5 Operation 5 duration 55 mins.
Job 1 Operation 6 duration 62 mins.
Job 7 Operation 6 duration 108 mins.
Job 9 Operation 7 duration 30 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 34 mins.
Job 7 Operation 1 duration 26 mins.
Job 5 Operation 4 duration 80 mins.
Job 9 Operation 4 duration 23 mins.
Job 1 Operation 5 duration 90 mins.
Job 4 Operation 6 duration 129 mins.
Job 3 Operation 7 duration 86 mins.
Job 2 Operation 9 duration 70 mins.
Job 6 Operation 9 duration 36 mins.
Job 8 Operation 9 duration 116 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 23 mins.
Job 8 Operation 0 duration 121 mins.
Job 4 Operation 1 duration 22 mins.
Job 6 Operation 2 duration 130 mins.
Job 7 Operation 2 duration 89 mins.
Job 9 Operation 2 duration 130 mins.
Job 5 Operation 3 duration 126 mins.
Job 2 Operation 6 duration 16 mins.
Job 0 Operation 7 duration 24 mins.
Job 3 Operation 9 duration 29 mins.
Machine 8 is used for the following Operations:
Job 7 Operation 0 duration 125 mins.
Job 3 Operation 3 duration 106 mins.
Job 8 Operation 4 duration 101 mins.
Job 0 Operation 5 duration 115 mins.
Job 4 Operation 5 duration 90 mins.
Job 9 Operation 5 duration 56 mins.
Job 2 Operation 7 duration 64 mins.
Job 6 Operation 7 duration 20 mins.
Job 1 Operation 8 duration 45 mins.
Job 5 Operation 9 duration 8 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 0 duration 18 mins.
Job 5 Operation 0 duration 86 mins.
Job 6 Operation 0 duration 105 mins.
Job 2 Operation 2 duration 94 mins.
Job 7 Operation 5 duration 3 mins.
Job 1 Operation 7 duration 4 mins.
Job 4 Operation 7 duration 9 mins.
Job 8 Operation 7 duration 66 mins.
Job 3 Operation 8 duration 97 mins.
Job 9 Operation 8 duration 132 mins.
| Solution:
Job 9 Operation 0 on Machine 4 : 0 + 60 -> 60
Job 3 Operation 0 on Machine 5 : 0 + 79 -> 79
Job 8 Operation 0 on Machine 7 : 0 + 121 -> 121
Job 7 Operation 0 on Machine 8 : 0 + 125 -> 125
Job 0 Operation 0 on Machine 9 : 0 + 18 -> 18
Job 0 Operation 1 on Machine 6 : 18 + 34 -> 52
Job 6 Operation 0 on Machine 9 : 18 + 105 -> 123
Job 0 Operation 2 on Machine 1 : 52 + 73 -> 125
Job 2 Operation 0 on Machine 4 : 60 + 90 -> 150
Job 3 Operation 1 on Machine 2 : 79 + 129 -> 208
Job 4 Operation 0 on Machine 5 : 79 + 1 -> 80
Job 4 Operation 1 on Machine 7 : 121 + 22 -> 143
Job 5 Operation 0 on Machine 9 : 123 + 86 -> 209
Job 6 Operation 1 on Machine 1 : 125 + 15 -> 140
Job 0 Operation 3 on Machine 5 : 125 + 40 -> 165
Job 7 Operation 1 on Machine 6 : 125 + 26 -> 151
Job 4 Operation 2 on Machine 1 : 143 + 77 -> 220
Job 6 Operation 2 on Machine 7 : 143 + 130 -> 273
Job 0 Operation 4 on Machine 0 : 165 + 14 -> 179
Job 8 Operation 1 on Machine 5 : 165 + 107 -> 272
Job 0 Operation 5 on Machine 8 : 179 + 115 -> 294
Job 3 Operation 2 on Machine 0 : 208 + 105 -> 313
Job 5 Operation 1 on Machine 2 : 209 + 17 -> 226
Job 4 Operation 3 on Machine 2 : 226 + 73 -> 299
Job 5 Operation 2 on Machine 3 : 226 + 1 -> 227
Job 8 Operation 2 on Machine 3 : 272 + 14 -> 286
Job 6 Operation 3 on Machine 5 : 273 + 66 -> 339
Job 7 Operation 2 on Machine 7 : 273 + 89 -> 362
Job 8 Operation 3 on Machine 4 : 286 + 44 -> 330
Job 0 Operation 6 on Machine 3 : 294 + 138 -> 432
Job 2 Operation 1 on Machine 2 : 299 + 114 -> 413
Job 4 Operation 4 on Machine 0 : 313 + 130 -> 443
Job 3 Operation 3 on Machine 8 : 313 + 106 -> 419
Job 6 Operation 4 on Machine 4 : 339 + 135 -> 474
Job 7 Operation 3 on Machine 1 : 362 + 39 -> 401
Job 5 Operation 3 on Machine 7 : 362 + 126 -> 488
Job 9 Operation 1 on Machine 1 : 401 + 113 -> 514
Job 7 Operation 4 on Machine 2 : 413 + 116 -> 529
Job 2 Operation 2 on Machine 9 : 413 + 94 -> 507
Job 3 Operation 4 on Machine 3 : 432 + 106 -> 538
Job 4 Operation 5 on Machine 8 : 443 + 90 -> 533
Job 5 Operation 4 on Machine 6 : 488 + 80 -> 568
Job 1 Operation 0 on Machine 7 : 488 + 23 -> 511
Job 2 Operation 3 on Machine 0 : 507 + 10 -> 517
Job 1 Operation 1 on Machine 4 : 511 + 12 -> 523
Job 9 Operation 2 on Machine 7 : 514 + 130 -> 644
Job 2 Operation 4 on Machine 1 : 517 + 42 -> 559
Job 6 Operation 5 on Machine 2 : 529 + 75 -> 604
Job 7 Operation 5 on Machine 9 : 529 + 3 -> 532
Job 7 Operation 6 on Machine 5 : 532 + 108 -> 640
Job 8 Operation 4 on Machine 8 : 533 + 101 -> 634
Job 3 Operation 5 on Machine 1 : 559 + 73 -> 632
Job 4 Operation 6 on Machine 6 : 568 + 129 -> 697
Job 6 Operation 6 on Machine 0 : 604 + 108 -> 712
Job 1 Operation 2 on Machine 2 : 604 + 137 -> 741
Job 3 Operation 6 on Machine 4 : 632 + 9 -> 641
Job 8 Operation 5 on Machine 1 : 634 + 40 -> 674
Job 5 Operation 5 on Machine 5 : 640 + 55 -> 695
Job 9 Operation 3 on Machine 3 : 644 + 2 -> 646
Job 0 Operation 7 on Machine 7 : 644 + 24 -> 668
Job 7 Operation 7 on Machine 3 : 646 + 111 -> 757
Job 0 Operation 8 on Machine 4 : 668 + 100 -> 768
Job 2 Operation 5 on Machine 5 : 695 + 133 -> 828
Job 9 Operation 4 on Machine 6 : 697 + 23 -> 720
Job 4 Operation 7 on Machine 9 : 697 + 9 -> 706
Job 5 Operation 6 on Machine 0 : 712 + 97 -> 809
Job 3 Operation 7 on Machine 6 : 720 + 86 -> 806
Job 9 Operation 5 on Machine 8 : 720 + 56 -> 776
Job 8 Operation 6 on Machine 2 : 741 + 36 -> 777
Job 1 Operation 3 on Machine 3 : 757 + 35 -> 792
Job 7 Operation 8 on Machine 4 : 768 + 106 -> 874
Job 6 Operation 7 on Machine 8 : 776 + 20 -> 796
Job 9 Operation 6 on Machine 2 : 777 + 137 -> 914
Job 8 Operation 7 on Machine 9 : 777 + 66 -> 843
Job 6 Operation 8 on Machine 3 : 796 + 114 -> 910
Job 1 Operation 4 on Machine 0 : 809 + 31 -> 840
Job 2 Operation 6 on Machine 7 : 828 + 16 -> 844
Job 1 Operation 5 on Machine 6 : 840 + 90 -> 930
Job 8 Operation 8 on Machine 0 : 843 + 100 -> 943
Job 3 Operation 8 on Machine 9 : 843 + 97 -> 940
Job 2 Operation 7 on Machine 8 : 844 + 64 -> 908
Job 4 Operation 8 on Machine 4 : 874 + 77 -> 951
Job 2 Operation 8 on Machine 3 : 910 + 133 -> 1043
Job 0 Operation 9 on Machine 2 : 914 + 78 -> 992
Job 9 Operation 7 on Machine 5 : 914 + 30 -> 944
Job 3 Operation 9 on Machine 7 : 940 + 29 -> 969
Job 7 Operation 9 on Machine 0 : 943 + 91 -> 1034
Job 8 Operation 9 on Machine 6 : 943 + 116 -> 1059
Job 1 Operation 6 on Machine 5 : 944 + 62 -> 1006
Job 9 Operation 8 on Machine 9 : 944 + 132 -> 1076
Job 5 Operation 7 on Machine 4 : 951 + 102 -> 1053
Job 4 Operation 9 on Machine 3 : 1043 + 135 -> 1178
Job 5 Operation 8 on Machine 1 : 1053 + 7 -> 1060
Job 2 Operation 9 on Machine 6 : 1059 + 70 -> 1129
Job 9 Operation 9 on Machine 0 : 1076 + 108 -> 1184
Job 1 Operation 7 on Machine 9 : 1076 + 4 -> 1080
Job 1 Operation 8 on Machine 8 : 1080 + 45 -> 1125
Job 1 Operation 9 on Machine 1 : 1125 + 67 -> 1192
Job 5 Operation 9 on Machine 8 : 1125 + 8 -> 1133
Job 6 Operation 9 on Machine 6 : 1129 + 36 -> 1165
Makespan: 1192.0, as it is the maximum end completion time of Operation 9 |
15 | 10 | Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 129 mins.
Operation 1 on Machine 4 duration 351 mins.
Operation 2 on Machine 3 duration 359 mins.
Operation 3 on Machine 6 duration 285 mins.
Operation 4 on Machine 0 duration 331 mins.
Operation 5 on Machine 8 duration 317 mins.
Operation 6 on Machine 7 duration 284 mins.
Operation 7 on Machine 9 duration 63 mins.
Operation 8 on Machine 2 duration 63 mins.
Operation 9 on Machine 1 duration 187 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 99 mins.
Operation 1 on Machine 0 duration 52 mins.
Operation 2 on Machine 6 duration 407 mins.
Operation 3 on Machine 1 duration 5 mins.
Operation 4 on Machine 7 duration 150 mins.
Operation 5 on Machine 4 duration 189 mins.
Operation 6 on Machine 2 duration 380 mins.
Operation 7 on Machine 8 duration 444 mins.
Operation 8 on Machine 5 duration 299 mins.
Operation 9 on Machine 9 duration 132 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 338 mins.
Operation 1 on Machine 9 duration 395 mins.
Operation 2 on Machine 1 duration 181 mins.
Operation 3 on Machine 2 duration 194 mins.
Operation 4 on Machine 7 duration 9 mins.
Operation 5 on Machine 0 duration 39 mins.
Operation 6 on Machine 4 duration 159 mins.
Operation 7 on Machine 5 duration 196 mins.
Operation 8 on Machine 8 duration 307 mins.
Operation 9 on Machine 3 duration 442 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 9 mins.
Operation 1 on Machine 9 duration 386 mins.
Operation 2 on Machine 1 duration 152 mins.
Operation 3 on Machine 7 duration 55 mins.
Operation 4 on Machine 8 duration 332 mins.
Operation 5 on Machine 6 duration 395 mins.
Operation 6 on Machine 3 duration 99 mins.
Operation 7 on Machine 0 duration 217 mins.
Operation 8 on Machine 5 duration 252 mins.
Operation 9 on Machine 2 duration 112 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 398 mins.
Operation 1 on Machine 9 duration 425 mins.
Operation 2 on Machine 5 duration 123 mins.
Operation 3 on Machine 0 duration 147 mins.
Operation 4 on Machine 7 duration 370 mins.
Operation 5 on Machine 2 duration 203 mins.
Operation 6 on Machine 4 duration 68 mins.
Operation 7 on Machine 6 duration 197 mins.
Operation 8 on Machine 8 duration 310 mins.
Operation 9 on Machine 3 duration 85 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 15 mins.
Operation 1 on Machine 4 duration 35 mins.
Operation 2 on Machine 3 duration 52 mins.
Operation 3 on Machine 2 duration 396 mins.
Operation 4 on Machine 1 duration 104 mins.
Operation 5 on Machine 8 duration 84 mins.
Operation 6 on Machine 9 duration 172 mins.
Operation 7 on Machine 6 duration 23 mins.
Operation 8 on Machine 0 duration 18 mins.
Operation 9 on Machine 7 duration 269 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 145 mins.
Operation 1 on Machine 8 duration 46 mins.
Operation 2 on Machine 6 duration 148 mins.
Operation 3 on Machine 1 duration 204 mins.
Operation 4 on Machine 9 duration 263 mins.
Operation 5 on Machine 3 duration 439 mins.
Operation 6 on Machine 2 duration 171 mins.
Operation 7 on Machine 5 duration 198 mins.
Operation 8 on Machine 0 duration 170 mins.
Operation 9 on Machine 7 duration 242 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 134 mins.
Operation 1 on Machine 7 duration 297 mins.
Operation 2 on Machine 2 duration 300 mins.
Operation 3 on Machine 8 duration 218 mins.
Operation 4 on Machine 3 duration 16 mins.
Operation 5 on Machine 9 duration 133 mins.
Operation 6 on Machine 5 duration 274 mins.
Operation 7 on Machine 4 duration 344 mins.
Operation 8 on Machine 1 duration 173 mins.
Operation 9 on Machine 0 duration 29 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 8 duration 338 mins.
Operation 1 on Machine 4 duration 345 mins.
Operation 2 on Machine 6 duration 392 mins.
Operation 3 on Machine 5 duration 289 mins.
Operation 4 on Machine 9 duration 408 mins.
Operation 5 on Machine 7 duration 15 mins.
Operation 6 on Machine 0 duration 434 mins.
Operation 7 on Machine 1 duration 28 mins.
Operation 8 on Machine 3 duration 351 mins.
Operation 9 on Machine 2 duration 298 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 7 duration 388 mins.
Operation 1 on Machine 8 duration 149 mins.
Operation 2 on Machine 3 duration 116 mins.
Operation 3 on Machine 9 duration 371 mins.
Operation 4 on Machine 2 duration 271 mins.
Operation 5 on Machine 0 duration 104 mins.
Operation 6 on Machine 1 duration 330 mins.
Operation 7 on Machine 4 duration 98 mins.
Operation 8 on Machine 5 duration 193 mins.
Operation 9 on Machine 6 duration 126 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 3 duration 317 mins.
Operation 1 on Machine 5 duration 182 mins.
Operation 2 on Machine 0 duration 415 mins.
Operation 3 on Machine 2 duration 359 mins.
Operation 4 on Machine 4 duration 308 mins.
Operation 5 on Machine 8 duration 63 mins.
Operation 6 on Machine 7 duration 36 mins.
Operation 7 on Machine 1 duration 388 mins.
Operation 8 on Machine 9 duration 111 mins.
Operation 9 on Machine 6 duration 121 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 7 duration 246 mins.
Operation 1 on Machine 5 duration 96 mins.
Operation 2 on Machine 1 duration 183 mins.
Operation 3 on Machine 9 duration 79 mins.
Operation 4 on Machine 4 duration 415 mins.
Operation 5 on Machine 8 duration 74 mins.
Operation 6 on Machine 6 duration 310 mins.
Operation 7 on Machine 0 duration 297 mins.
Operation 8 on Machine 3 duration 381 mins.
Operation 9 on Machine 2 duration 421 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 4 duration 308 mins.
Operation 1 on Machine 2 duration 14 mins.
Operation 2 on Machine 5 duration 181 mins.
Operation 3 on Machine 9 duration 426 mins.
Operation 4 on Machine 7 duration 226 mins.
Operation 5 on Machine 6 duration 99 mins.
Operation 6 on Machine 3 duration 307 mins.
Operation 7 on Machine 0 duration 235 mins.
Operation 8 on Machine 8 duration 427 mins.
Operation 9 on Machine 1 duration 18 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 7 duration 141 mins.
Operation 1 on Machine 9 duration 196 mins.
Operation 2 on Machine 2 duration 9 mins.
Operation 3 on Machine 4 duration 313 mins.
Operation 4 on Machine 5 duration 309 mins.
Operation 5 on Machine 0 duration 342 mins.
Operation 6 on Machine 1 duration 123 mins.
Operation 7 on Machine 8 duration 68 mins.
Operation 8 on Machine 3 duration 359 mins.
Operation 9 on Machine 6 duration 154 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 0 duration 429 mins.
Operation 1 on Machine 7 duration 142 mins.
Operation 2 on Machine 2 duration 84 mins.
Operation 3 on Machine 4 duration 332 mins.
Operation 4 on Machine 8 duration 16 mins.
Operation 5 on Machine 5 duration 207 mins.
Operation 6 on Machine 1 duration 302 mins.
Operation 7 on Machine 6 duration 242 mins.
Operation 8 on Machine 9 duration 24 mins.
Operation 9 on Machine 3 duration 118 mins.
| Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 14 Operation 0 duration 429 mins.
Job 1 Operation 1 duration 52 mins.
Job 10 Operation 2 duration 415 mins.
Job 4 Operation 3 duration 147 mins.
Job 0 Operation 4 duration 331 mins.
Job 2 Operation 5 duration 39 mins.
Job 9 Operation 5 duration 104 mins.
Job 13 Operation 5 duration 342 mins.
Job 8 Operation 6 duration 434 mins.
Job 3 Operation 7 duration 217 mins.
Job 11 Operation 7 duration 297 mins.
Job 12 Operation 7 duration 235 mins.
Job 5 Operation 8 duration 18 mins.
Job 6 Operation 8 duration 170 mins.
Job 7 Operation 9 duration 29 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 398 mins.
Job 2 Operation 2 duration 181 mins.
Job 3 Operation 2 duration 152 mins.
Job 11 Operation 2 duration 183 mins.
Job 1 Operation 3 duration 5 mins.
Job 6 Operation 3 duration 204 mins.
Job 5 Operation 4 duration 104 mins.
Job 9 Operation 6 duration 330 mins.
Job 13 Operation 6 duration 123 mins.
Job 14 Operation 6 duration 302 mins.
Job 8 Operation 7 duration 28 mins.
Job 10 Operation 7 duration 388 mins.
Job 7 Operation 8 duration 173 mins.
Job 0 Operation 9 duration 187 mins.
Job 12 Operation 9 duration 18 mins.
Machine 2 is used for the following Operations:
Job 12 Operation 1 duration 14 mins.
Job 7 Operation 2 duration 300 mins.
Job 13 Operation 2 duration 9 mins.
Job 14 Operation 2 duration 84 mins.
Job 2 Operation 3 duration 194 mins.
Job 5 Operation 3 duration 396 mins.
Job 10 Operation 3 duration 359 mins.
Job 9 Operation 4 duration 271 mins.
Job 4 Operation 5 duration 203 mins.
Job 1 Operation 6 duration 380 mins.
Job 6 Operation 6 duration 171 mins.
Job 0 Operation 8 duration 63 mins.
Job 3 Operation 9 duration 112 mins.
Job 8 Operation 9 duration 298 mins.
Job 11 Operation 9 duration 421 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 99 mins.
Job 10 Operation 0 duration 317 mins.
Job 0 Operation 2 duration 359 mins.
Job 5 Operation 2 duration 52 mins.
Job 9 Operation 2 duration 116 mins.
Job 7 Operation 4 duration 16 mins.
Job 6 Operation 5 duration 439 mins.
Job 3 Operation 6 duration 99 mins.
Job 12 Operation 6 duration 307 mins.
Job 8 Operation 8 duration 351 mins.
Job 11 Operation 8 duration 381 mins.
Job 13 Operation 8 duration 359 mins.
Job 2 Operation 9 duration 442 mins.
Job 4 Operation 9 duration 85 mins.
Job 14 Operation 9 duration 118 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 9 mins.
Job 6 Operation 0 duration 145 mins.
Job 12 Operation 0 duration 308 mins.
Job 0 Operation 1 duration 351 mins.
Job 5 Operation 1 duration 35 mins.
Job 8 Operation 1 duration 345 mins.
Job 13 Operation 3 duration 313 mins.
Job 14 Operation 3 duration 332 mins.
Job 10 Operation 4 duration 308 mins.
Job 11 Operation 4 duration 415 mins.
Job 1 Operation 5 duration 189 mins.
Job 2 Operation 6 duration 159 mins.
Job 4 Operation 6 duration 68 mins.
Job 7 Operation 7 duration 344 mins.
Job 9 Operation 7 duration 98 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 129 mins.
Job 5 Operation 0 duration 15 mins.
Job 10 Operation 1 duration 182 mins.
Job 11 Operation 1 duration 96 mins.
Job 4 Operation 2 duration 123 mins.
Job 12 Operation 2 duration 181 mins.
Job 8 Operation 3 duration 289 mins.
Job 13 Operation 4 duration 309 mins.
Job 14 Operation 5 duration 207 mins.
Job 7 Operation 6 duration 274 mins.
Job 2 Operation 7 duration 196 mins.
Job 6 Operation 7 duration 198 mins.
Job 1 Operation 8 duration 299 mins.
Job 3 Operation 8 duration 252 mins.
Job 9 Operation 8 duration 193 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 338 mins.
Job 7 Operation 0 duration 134 mins.
Job 1 Operation 2 duration 407 mins.
Job 6 Operation 2 duration 148 mins.
Job 8 Operation 2 duration 392 mins.
Job 0 Operation 3 duration 285 mins.
Job 3 Operation 5 duration 395 mins.
Job 12 Operation 5 duration 99 mins.
Job 11 Operation 6 duration 310 mins.
Job 4 Operation 7 duration 197 mins.
Job 5 Operation 7 duration 23 mins.
Job 14 Operation 7 duration 242 mins.
Job 9 Operation 9 duration 126 mins.
Job 10 Operation 9 duration 121 mins.
Job 13 Operation 9 duration 154 mins.
Machine 7 is used for the following Operations:
Job 9 Operation 0 duration 388 mins.
Job 11 Operation 0 duration 246 mins.
Job 13 Operation 0 duration 141 mins.
Job 7 Operation 1 duration 297 mins.
Job 14 Operation 1 duration 142 mins.
Job 3 Operation 3 duration 55 mins.
Job 1 Operation 4 duration 150 mins.
Job 2 Operation 4 duration 9 mins.
Job 4 Operation 4 duration 370 mins.
Job 12 Operation 4 duration 226 mins.
Job 8 Operation 5 duration 15 mins.
Job 0 Operation 6 duration 284 mins.
Job 10 Operation 6 duration 36 mins.
Job 5 Operation 9 duration 269 mins.
Job 6 Operation 9 duration 242 mins.
Machine 8 is used for the following Operations:
Job 8 Operation 0 duration 338 mins.
Job 6 Operation 1 duration 46 mins.
Job 9 Operation 1 duration 149 mins.
Job 7 Operation 3 duration 218 mins.
Job 3 Operation 4 duration 332 mins.
Job 14 Operation 4 duration 16 mins.
Job 0 Operation 5 duration 317 mins.
Job 5 Operation 5 duration 84 mins.
Job 10 Operation 5 duration 63 mins.
Job 11 Operation 5 duration 74 mins.
Job 1 Operation 7 duration 444 mins.
Job 13 Operation 7 duration 68 mins.
Job 2 Operation 8 duration 307 mins.
Job 4 Operation 8 duration 310 mins.
Job 12 Operation 8 duration 427 mins.
Machine 9 is used for the following Operations:
Job 2 Operation 1 duration 395 mins.
Job 3 Operation 1 duration 386 mins.
Job 4 Operation 1 duration 425 mins.
Job 13 Operation 1 duration 196 mins.
Job 9 Operation 3 duration 371 mins.
Job 11 Operation 3 duration 79 mins.
Job 12 Operation 3 duration 426 mins.
Job 6 Operation 4 duration 263 mins.
Job 8 Operation 4 duration 408 mins.
Job 7 Operation 5 duration 133 mins.
Job 5 Operation 6 duration 172 mins.
Job 0 Operation 7 duration 63 mins.
Job 10 Operation 8 duration 111 mins.
Job 14 Operation 8 duration 24 mins.
Job 1 Operation 9 duration 132 mins.
| Solution:
Job 1 Operation 0 on Machine 3 : 0 + 99 -> 99
Job 3 Operation 0 on Machine 4 : 0 + 9 -> 9
Job 0 Operation 0 on Machine 5 : 0 + 129 -> 129
Job 7 Operation 0 on Machine 6 : 0 + 134 -> 134
Job 11 Operation 0 on Machine 7 : 0 + 246 -> 246
Job 6 Operation 0 on Machine 4 : 9 + 145 -> 154
Job 3 Operation 1 on Machine 9 : 9 + 386 -> 395
Job 1 Operation 1 on Machine 0 : 99 + 52 -> 151
Job 5 Operation 0 on Machine 5 : 129 + 15 -> 144
Job 2 Operation 0 on Machine 6 : 134 + 338 -> 472
Job 14 Operation 0 on Machine 0 : 151 + 429 -> 580
Job 5 Operation 1 on Machine 4 : 154 + 35 -> 189
Job 6 Operation 1 on Machine 8 : 154 + 46 -> 200
Job 5 Operation 2 on Machine 3 : 189 + 52 -> 241
Job 0 Operation 1 on Machine 4 : 189 + 351 -> 540
Job 8 Operation 0 on Machine 8 : 200 + 338 -> 538
Job 5 Operation 3 on Machine 2 : 241 + 396 -> 637
Job 10 Operation 0 on Machine 3 : 241 + 317 -> 558
Job 11 Operation 1 on Machine 5 : 246 + 96 -> 342
Job 13 Operation 0 on Machine 7 : 246 + 141 -> 387
Job 11 Operation 2 on Machine 1 : 342 + 183 -> 525
Job 7 Operation 1 on Machine 7 : 387 + 297 -> 684
Job 6 Operation 2 on Machine 6 : 472 + 148 -> 620
Job 3 Operation 2 on Machine 1 : 525 + 152 -> 677
Job 11 Operation 3 on Machine 9 : 525 + 79 -> 604
Job 12 Operation 0 on Machine 4 : 540 + 308 -> 848
Job 0 Operation 2 on Machine 3 : 558 + 359 -> 917
Job 10 Operation 1 on Machine 5 : 558 + 182 -> 740
Job 13 Operation 1 on Machine 9 : 604 + 196 -> 800
Job 1 Operation 2 on Machine 6 : 620 + 407 -> 1027
Job 6 Operation 3 on Machine 1 : 677 + 204 -> 881
Job 3 Operation 3 on Machine 7 : 684 + 55 -> 739
Job 9 Operation 0 on Machine 7 : 739 + 388 -> 1127
Job 3 Operation 4 on Machine 8 : 739 + 332 -> 1071
Job 10 Operation 2 on Machine 0 : 740 + 415 -> 1155
Job 13 Operation 2 on Machine 2 : 800 + 9 -> 809
Job 2 Operation 1 on Machine 9 : 800 + 395 -> 1195
Job 12 Operation 1 on Machine 2 : 848 + 14 -> 862
Job 13 Operation 3 on Machine 4 : 848 + 313 -> 1161
Job 7 Operation 2 on Machine 2 : 862 + 300 -> 1162
Job 12 Operation 2 on Machine 5 : 862 + 181 -> 1043
Job 1 Operation 3 on Machine 1 : 1027 + 5 -> 1032
Job 4 Operation 0 on Machine 1 : 1032 + 398 -> 1430
Job 3 Operation 5 on Machine 6 : 1071 + 395 -> 1466
Job 14 Operation 1 on Machine 7 : 1127 + 142 -> 1269
Job 9 Operation 1 on Machine 8 : 1127 + 149 -> 1276
Job 11 Operation 4 on Machine 4 : 1161 + 415 -> 1576
Job 13 Operation 4 on Machine 5 : 1161 + 309 -> 1470
Job 10 Operation 3 on Machine 2 : 1162 + 359 -> 1521
Job 6 Operation 4 on Machine 9 : 1195 + 263 -> 1458
Job 1 Operation 4 on Machine 7 : 1269 + 150 -> 1419
Job 9 Operation 2 on Machine 3 : 1276 + 116 -> 1392
Job 7 Operation 3 on Machine 8 : 1276 + 218 -> 1494
Job 2 Operation 2 on Machine 1 : 1430 + 181 -> 1611
Job 6 Operation 5 on Machine 3 : 1458 + 439 -> 1897
Job 4 Operation 1 on Machine 9 : 1458 + 425 -> 1883
Job 13 Operation 5 on Machine 0 : 1470 + 342 -> 1812
Job 8 Operation 1 on Machine 4 : 1576 + 345 -> 1921
Job 11 Operation 5 on Machine 8 : 1576 + 74 -> 1650
Job 5 Operation 4 on Machine 1 : 1611 + 104 -> 1715
Job 2 Operation 3 on Machine 2 : 1611 + 194 -> 1805
Job 11 Operation 6 on Machine 6 : 1650 + 310 -> 1960
Job 5 Operation 5 on Machine 8 : 1715 + 84 -> 1799
Job 14 Operation 2 on Machine 2 : 1805 + 84 -> 1889
Job 2 Operation 4 on Machine 7 : 1805 + 9 -> 1814
Job 13 Operation 6 on Machine 1 : 1812 + 123 -> 1935
Job 2 Operation 5 on Machine 0 : 1814 + 39 -> 1853
Job 4 Operation 2 on Machine 5 : 1883 + 123 -> 2006
Job 12 Operation 3 on Machine 9 : 1883 + 426 -> 2309
Job 6 Operation 6 on Machine 2 : 1897 + 171 -> 2068
Job 7 Operation 4 on Machine 3 : 1897 + 16 -> 1913
Job 3 Operation 6 on Machine 3 : 1913 + 99 -> 2012
Job 2 Operation 6 on Machine 4 : 1921 + 159 -> 2080
Job 13 Operation 7 on Machine 8 : 1935 + 68 -> 2003
Job 8 Operation 2 on Machine 6 : 1960 + 392 -> 2352
Job 4 Operation 3 on Machine 0 : 2006 + 147 -> 2153
Job 13 Operation 8 on Machine 3 : 2012 + 359 -> 2371
Job 1 Operation 5 on Machine 4 : 2080 + 189 -> 2269
Job 2 Operation 7 on Machine 5 : 2080 + 196 -> 2276
Job 11 Operation 7 on Machine 0 : 2153 + 297 -> 2450
Job 4 Operation 4 on Machine 7 : 2153 + 370 -> 2523
Job 1 Operation 6 on Machine 2 : 2269 + 380 -> 2649
Job 10 Operation 4 on Machine 4 : 2269 + 308 -> 2577
Job 2 Operation 8 on Machine 8 : 2276 + 307 -> 2583
Job 9 Operation 3 on Machine 9 : 2309 + 371 -> 2680
Job 8 Operation 3 on Machine 5 : 2352 + 289 -> 2641
Job 0 Operation 3 on Machine 6 : 2352 + 285 -> 2637
Job 3 Operation 7 on Machine 0 : 2450 + 217 -> 2667
Job 11 Operation 8 on Machine 3 : 2450 + 381 -> 2831
Job 12 Operation 4 on Machine 7 : 2523 + 226 -> 2749
Job 14 Operation 3 on Machine 4 : 2577 + 332 -> 2909
Job 10 Operation 5 on Machine 8 : 2583 + 63 -> 2646
Job 6 Operation 7 on Machine 5 : 2641 + 198 -> 2839
Job 1 Operation 7 on Machine 8 : 2649 + 444 -> 3093
Job 0 Operation 4 on Machine 0 : 2667 + 331 -> 2998
Job 9 Operation 4 on Machine 2 : 2680 + 271 -> 2951
Job 8 Operation 4 on Machine 9 : 2680 + 408 -> 3088
Job 12 Operation 5 on Machine 6 : 2749 + 99 -> 2848
Job 10 Operation 6 on Machine 7 : 2749 + 36 -> 2785
Job 10 Operation 7 on Machine 1 : 2785 + 388 -> 3173
Job 3 Operation 8 on Machine 5 : 2839 + 252 -> 3091
Job 12 Operation 6 on Machine 3 : 2848 + 307 -> 3155
Job 4 Operation 5 on Machine 2 : 2951 + 203 -> 3154
Job 9 Operation 5 on Machine 0 : 2998 + 104 -> 3102
Job 8 Operation 5 on Machine 7 : 3088 + 15 -> 3103
Job 7 Operation 5 on Machine 9 : 3088 + 133 -> 3221
Job 14 Operation 4 on Machine 8 : 3093 + 16 -> 3109
Job 8 Operation 6 on Machine 0 : 3103 + 434 -> 3537
Job 14 Operation 5 on Machine 5 : 3109 + 207 -> 3316
Job 0 Operation 5 on Machine 8 : 3109 + 317 -> 3426
Job 11 Operation 9 on Machine 2 : 3154 + 421 -> 3575
Job 4 Operation 6 on Machine 4 : 3154 + 68 -> 3222
Job 2 Operation 9 on Machine 3 : 3155 + 442 -> 3597
Job 9 Operation 6 on Machine 1 : 3173 + 330 -> 3503
Job 5 Operation 6 on Machine 9 : 3221 + 172 -> 3393
Job 4 Operation 7 on Machine 6 : 3222 + 197 -> 3419
Job 7 Operation 6 on Machine 5 : 3316 + 274 -> 3590
Job 10 Operation 8 on Machine 9 : 3393 + 111 -> 3504
Job 5 Operation 7 on Machine 6 : 3419 + 23 -> 3442
Job 0 Operation 6 on Machine 7 : 3426 + 284 -> 3710
Job 4 Operation 8 on Machine 8 : 3426 + 310 -> 3736
Job 9 Operation 7 on Machine 4 : 3503 + 98 -> 3601
Job 10 Operation 9 on Machine 6 : 3504 + 121 -> 3625
Job 5 Operation 8 on Machine 0 : 3537 + 18 -> 3555
Job 8 Operation 7 on Machine 1 : 3537 + 28 -> 3565
Job 12 Operation 7 on Machine 0 : 3555 + 235 -> 3790
Job 14 Operation 6 on Machine 1 : 3565 + 302 -> 3867
Job 3 Operation 9 on Machine 2 : 3575 + 112 -> 3687
Job 1 Operation 8 on Machine 5 : 3590 + 299 -> 3889
Job 8 Operation 8 on Machine 3 : 3597 + 351 -> 3948
Job 7 Operation 7 on Machine 4 : 3601 + 344 -> 3945
Job 13 Operation 9 on Machine 6 : 3625 + 154 -> 3779
Job 5 Operation 9 on Machine 7 : 3710 + 269 -> 3979
Job 0 Operation 7 on Machine 9 : 3710 + 63 -> 3773
Job 0 Operation 8 on Machine 2 : 3773 + 63 -> 3836
Job 6 Operation 8 on Machine 0 : 3790 + 170 -> 3960
Job 12 Operation 8 on Machine 8 : 3790 + 427 -> 4217
Job 0 Operation 9 on Machine 1 : 3867 + 187 -> 4054
Job 14 Operation 7 on Machine 6 : 3867 + 242 -> 4109
Job 9 Operation 8 on Machine 5 : 3889 + 193 -> 4082
Job 1 Operation 9 on Machine 9 : 3889 + 132 -> 4021
Job 8 Operation 9 on Machine 2 : 3948 + 298 -> 4246
Job 4 Operation 9 on Machine 3 : 3948 + 85 -> 4033
Job 6 Operation 9 on Machine 7 : 3979 + 242 -> 4221
Job 7 Operation 8 on Machine 1 : 4054 + 173 -> 4227
Job 9 Operation 9 on Machine 6 : 4109 + 126 -> 4235
Job 14 Operation 8 on Machine 9 : 4109 + 24 -> 4133
Job 14 Operation 9 on Machine 3 : 4133 + 118 -> 4251
Job 7 Operation 9 on Machine 0 : 4227 + 29 -> 4256
Job 12 Operation 9 on Machine 1 : 4227 + 18 -> 4245
Makespan: 4256.0, as it is the maximum end completion time of Operation 9 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 19 mins.
Operation 1 on Machine 1 duration 17 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 0 duration 9 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 20 mins.
Operation 1 on Machine 1 duration 20 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 5 mins.
Operation 1 on Machine 1 duration 10 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 9 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 4 mins.
Operation 1 on Machine 0 duration 4 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 15 mins.
Operation 1 on Machine 1 duration 18 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 19 mins.
Job 2 Operation 0 duration 20 mins.
Job 3 Operation 0 duration 5 mins.
Job 4 Operation 0 duration 10 mins.
Job 6 Operation 0 duration 15 mins.
Job 1 Operation 1 duration 9 mins.
Job 5 Operation 1 duration 4 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 3 mins.
Job 5 Operation 0 duration 4 mins.
Job 0 Operation 1 duration 17 mins.
Job 2 Operation 1 duration 20 mins.
Job 3 Operation 1 duration 10 mins.
Job 4 Operation 1 duration 9 mins.
Job 6 Operation 1 duration 18 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 5 -> 5
Job 1 Operation 0 on Machine 1 : 0 + 3 -> 3
Job 6 Operation 0 on Machine 0 : 5 + 15 -> 20
Job 3 Operation 1 on Machine 1 : 5 + 10 -> 15
Job 5 Operation 0 on Machine 1 : 15 + 4 -> 19
Job 2 Operation 0 on Machine 0 : 20 + 20 -> 40
Job 6 Operation 1 on Machine 1 : 20 + 18 -> 38
Job 0 Operation 0 on Machine 0 : 40 + 19 -> 59
Job 2 Operation 1 on Machine 1 : 40 + 20 -> 60
Job 5 Operation 1 on Machine 0 : 59 + 4 -> 63
Job 0 Operation 1 on Machine 1 : 60 + 17 -> 77
Job 4 Operation 0 on Machine 0 : 63 + 10 -> 73
Job 1 Operation 1 on Machine 0 : 73 + 9 -> 82
Job 4 Operation 1 on Machine 1 : 77 + 9 -> 86
Makespan: 86.0, as it is the maximum end completion time of Operation 1 |
8 | 8 | Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 151 mins.
Operation 1 on Machine 2 duration 53 mins.
Operation 2 on Machine 4 duration 64 mins.
Operation 3 on Machine 6 duration 76 mins.
Operation 4 on Machine 5 duration 159 mins.
Operation 5 on Machine 3 duration 88 mins.
Operation 6 on Machine 7 duration 48 mins.
Operation 7 on Machine 1 duration 114 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 83 mins.
Operation 1 on Machine 0 duration 124 mins.
Operation 2 on Machine 5 duration 195 mins.
Operation 3 on Machine 4 duration 109 mins.
Operation 4 on Machine 1 duration 7 mins.
Operation 5 on Machine 6 duration 128 mins.
Operation 6 on Machine 7 duration 49 mins.
Operation 7 on Machine 3 duration 182 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 65 mins.
Operation 1 on Machine 5 duration 37 mins.
Operation 2 on Machine 7 duration 5 mins.
Operation 3 on Machine 1 duration 88 mins.
Operation 4 on Machine 6 duration 199 mins.
Operation 5 on Machine 0 duration 7 mins.
Operation 6 on Machine 3 duration 103 mins.
Operation 7 on Machine 4 duration 93 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 16 mins.
Operation 1 on Machine 2 duration 18 mins.
Operation 2 on Machine 7 duration 198 mins.
Operation 3 on Machine 4 duration 90 mins.
Operation 4 on Machine 5 duration 8 mins.
Operation 5 on Machine 3 duration 96 mins.
Operation 6 on Machine 1 duration 110 mins.
Operation 7 on Machine 6 duration 124 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 129 mins.
Operation 1 on Machine 7 duration 202 mins.
Operation 2 on Machine 3 duration 121 mins.
Operation 3 on Machine 6 duration 181 mins.
Operation 4 on Machine 5 duration 181 mins.
Operation 5 on Machine 4 duration 168 mins.
Operation 6 on Machine 2 duration 137 mins.
Operation 7 on Machine 1 duration 172 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 204 mins.
Operation 1 on Machine 5 duration 140 mins.
Operation 2 on Machine 7 duration 161 mins.
Operation 3 on Machine 1 duration 53 mins.
Operation 4 on Machine 6 duration 176 mins.
Operation 5 on Machine 0 duration 136 mins.
Operation 6 on Machine 2 duration 111 mins.
Operation 7 on Machine 3 duration 24 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 62 mins.
Operation 1 on Machine 6 duration 4 mins.
Operation 2 on Machine 7 duration 48 mins.
Operation 3 on Machine 4 duration 32 mins.
Operation 4 on Machine 3 duration 150 mins.
Operation 5 on Machine 1 duration 186 mins.
Operation 6 on Machine 5 duration 130 mins.
Operation 7 on Machine 0 duration 2 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 151 mins.
Operation 1 on Machine 2 duration 148 mins.
Operation 2 on Machine 0 duration 72 mins.
Operation 3 on Machine 5 duration 197 mins.
Operation 4 on Machine 1 duration 201 mins.
Operation 5 on Machine 7 duration 33 mins.
Operation 6 on Machine 3 duration 109 mins.
Operation 7 on Machine 6 duration 89 mins.
| Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 151 mins.
Job 3 Operation 0 duration 16 mins.
Job 4 Operation 0 duration 129 mins.
Job 1 Operation 1 duration 124 mins.
Job 7 Operation 2 duration 72 mins.
Job 2 Operation 5 duration 7 mins.
Job 5 Operation 5 duration 136 mins.
Job 6 Operation 7 duration 2 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 3 duration 88 mins.
Job 5 Operation 3 duration 53 mins.
Job 1 Operation 4 duration 7 mins.
Job 7 Operation 4 duration 201 mins.
Job 6 Operation 5 duration 186 mins.
Job 3 Operation 6 duration 110 mins.
Job 0 Operation 7 duration 114 mins.
Job 4 Operation 7 duration 172 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 83 mins.
Job 2 Operation 0 duration 65 mins.
Job 6 Operation 0 duration 62 mins.
Job 0 Operation 1 duration 53 mins.
Job 3 Operation 1 duration 18 mins.
Job 7 Operation 1 duration 148 mins.
Job 4 Operation 6 duration 137 mins.
Job 5 Operation 6 duration 111 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 2 duration 121 mins.
Job 6 Operation 4 duration 150 mins.
Job 0 Operation 5 duration 88 mins.
Job 3 Operation 5 duration 96 mins.
Job 2 Operation 6 duration 103 mins.
Job 7 Operation 6 duration 109 mins.
Job 1 Operation 7 duration 182 mins.
Job 5 Operation 7 duration 24 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 204 mins.
Job 7 Operation 0 duration 151 mins.
Job 0 Operation 2 duration 64 mins.
Job 1 Operation 3 duration 109 mins.
Job 3 Operation 3 duration 90 mins.
Job 6 Operation 3 duration 32 mins.
Job 4 Operation 5 duration 168 mins.
Job 2 Operation 7 duration 93 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 1 duration 37 mins.
Job 5 Operation 1 duration 140 mins.
Job 1 Operation 2 duration 195 mins.
Job 7 Operation 3 duration 197 mins.
Job 0 Operation 4 duration 159 mins.
Job 3 Operation 4 duration 8 mins.
Job 4 Operation 4 duration 181 mins.
Job 6 Operation 6 duration 130 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 1 duration 4 mins.
Job 0 Operation 3 duration 76 mins.
Job 4 Operation 3 duration 181 mins.
Job 2 Operation 4 duration 199 mins.
Job 5 Operation 4 duration 176 mins.
Job 1 Operation 5 duration 128 mins.
Job 3 Operation 7 duration 124 mins.
Job 7 Operation 7 duration 89 mins.
Machine 7 is used for the following Operations:
Job 4 Operation 1 duration 202 mins.
Job 2 Operation 2 duration 5 mins.
Job 3 Operation 2 duration 198 mins.
Job 5 Operation 2 duration 161 mins.
Job 6 Operation 2 duration 48 mins.
Job 7 Operation 5 duration 33 mins.
Job 0 Operation 6 duration 48 mins.
Job 1 Operation 6 duration 49 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 129 -> 129
Job 6 Operation 0 on Machine 2 : 0 + 62 -> 62
Job 7 Operation 0 on Machine 4 : 0 + 151 -> 151
Job 1 Operation 0 on Machine 2 : 62 + 83 -> 145
Job 6 Operation 1 on Machine 6 : 62 + 4 -> 66
Job 6 Operation 2 on Machine 7 : 66 + 48 -> 114
Job 3 Operation 0 on Machine 0 : 129 + 16 -> 145
Job 4 Operation 1 on Machine 7 : 129 + 202 -> 331
Job 1 Operation 1 on Machine 0 : 145 + 124 -> 269
Job 3 Operation 1 on Machine 2 : 145 + 18 -> 163
Job 6 Operation 3 on Machine 4 : 151 + 32 -> 183
Job 2 Operation 0 on Machine 2 : 163 + 65 -> 228
Job 5 Operation 0 on Machine 4 : 183 + 204 -> 387
Job 7 Operation 1 on Machine 2 : 228 + 148 -> 376
Job 2 Operation 1 on Machine 5 : 228 + 37 -> 265
Job 1 Operation 2 on Machine 5 : 269 + 195 -> 464
Job 4 Operation 2 on Machine 3 : 331 + 121 -> 452
Job 3 Operation 2 on Machine 7 : 331 + 198 -> 529
Job 7 Operation 2 on Machine 0 : 376 + 72 -> 448
Job 0 Operation 0 on Machine 0 : 448 + 151 -> 599
Job 6 Operation 4 on Machine 3 : 452 + 150 -> 602
Job 4 Operation 3 on Machine 6 : 452 + 181 -> 633
Job 5 Operation 1 on Machine 5 : 464 + 140 -> 604
Job 3 Operation 3 on Machine 4 : 529 + 90 -> 619
Job 2 Operation 2 on Machine 7 : 529 + 5 -> 534
Job 2 Operation 3 on Machine 1 : 534 + 88 -> 622
Job 0 Operation 1 on Machine 2 : 599 + 53 -> 652
Job 5 Operation 2 on Machine 7 : 604 + 161 -> 765
Job 1 Operation 3 on Machine 4 : 619 + 109 -> 728
Job 3 Operation 4 on Machine 5 : 619 + 8 -> 627
Job 6 Operation 5 on Machine 1 : 622 + 186 -> 808
Job 3 Operation 5 on Machine 3 : 627 + 96 -> 723
Job 4 Operation 4 on Machine 5 : 633 + 181 -> 814
Job 2 Operation 4 on Machine 6 : 633 + 199 -> 832
Job 0 Operation 2 on Machine 4 : 728 + 64 -> 792
Job 1 Operation 4 on Machine 1 : 808 + 7 -> 815
Job 4 Operation 5 on Machine 4 : 814 + 168 -> 982
Job 7 Operation 3 on Machine 5 : 814 + 197 -> 1011
Job 3 Operation 6 on Machine 1 : 815 + 110 -> 925
Job 2 Operation 5 on Machine 0 : 832 + 7 -> 839
Job 1 Operation 5 on Machine 6 : 832 + 128 -> 960
Job 2 Operation 6 on Machine 3 : 839 + 103 -> 942
Job 5 Operation 3 on Machine 1 : 925 + 53 -> 978
Job 0 Operation 3 on Machine 6 : 960 + 76 -> 1036
Job 1 Operation 6 on Machine 7 : 960 + 49 -> 1009
Job 4 Operation 6 on Machine 2 : 982 + 137 -> 1119
Job 2 Operation 7 on Machine 4 : 982 + 93 -> 1075
Job 1 Operation 7 on Machine 3 : 1009 + 182 -> 1191
Job 7 Operation 4 on Machine 1 : 1011 + 201 -> 1212
Job 0 Operation 4 on Machine 5 : 1036 + 159 -> 1195
Job 5 Operation 4 on Machine 6 : 1036 + 176 -> 1212
Job 0 Operation 5 on Machine 3 : 1195 + 88 -> 1283
Job 6 Operation 6 on Machine 5 : 1195 + 130 -> 1325
Job 5 Operation 5 on Machine 0 : 1212 + 136 -> 1348
Job 4 Operation 7 on Machine 1 : 1212 + 172 -> 1384
Job 3 Operation 7 on Machine 6 : 1212 + 124 -> 1336
Job 7 Operation 5 on Machine 7 : 1212 + 33 -> 1245
Job 7 Operation 6 on Machine 3 : 1283 + 109 -> 1392
Job 0 Operation 6 on Machine 7 : 1283 + 48 -> 1331
Job 6 Operation 7 on Machine 0 : 1348 + 2 -> 1350
Job 5 Operation 6 on Machine 2 : 1348 + 111 -> 1459
Job 0 Operation 7 on Machine 1 : 1384 + 114 -> 1498
Job 7 Operation 7 on Machine 6 : 1392 + 89 -> 1481
Job 5 Operation 7 on Machine 3 : 1459 + 24 -> 1483
Makespan: 1498.0, as it is the maximum end completion time of Operation 7 |
9 | 3 | Optimize schedule for 9 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 255 mins.
Operation 1 on Machine 0 duration 338 mins.
Operation 2 on Machine 1 duration 181 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 138 mins.
Operation 1 on Machine 1 duration 140 mins.
Operation 2 on Machine 0 duration 359 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 361 mins.
Operation 1 on Machine 0 duration 204 mins.
Operation 2 on Machine 2 duration 47 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 330 mins.
Operation 1 on Machine 2 duration 62 mins.
Operation 2 on Machine 0 duration 16 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 318 mins.
Operation 1 on Machine 2 duration 16 mins.
Operation 2 on Machine 0 duration 136 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 103 mins.
Operation 1 on Machine 1 duration 382 mins.
Operation 2 on Machine 2 duration 386 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 0 duration 122 mins.
Operation 2 on Machine 2 duration 180 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 247 mins.
Operation 1 on Machine 2 duration 39 mins.
Operation 2 on Machine 0 duration 131 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 329 mins.
Operation 1 on Machine 1 duration 201 mins.
Operation 2 on Machine 2 duration 309 mins.
| Optimize schedule for 9 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 103 mins.
Job 8 Operation 0 duration 329 mins.
Job 0 Operation 1 duration 338 mins.
Job 2 Operation 1 duration 204 mins.
Job 6 Operation 1 duration 122 mins.
Job 1 Operation 2 duration 359 mins.
Job 3 Operation 2 duration 16 mins.
Job 4 Operation 2 duration 136 mins.
Job 7 Operation 2 duration 131 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 361 mins.
Job 3 Operation 0 duration 330 mins.
Job 4 Operation 0 duration 318 mins.
Job 6 Operation 0 duration 38 mins.
Job 7 Operation 0 duration 247 mins.
Job 1 Operation 1 duration 140 mins.
Job 5 Operation 1 duration 382 mins.
Job 8 Operation 1 duration 201 mins.
Job 0 Operation 2 duration 181 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 255 mins.
Job 1 Operation 0 duration 138 mins.
Job 3 Operation 1 duration 62 mins.
Job 4 Operation 1 duration 16 mins.
Job 7 Operation 1 duration 39 mins.
Job 2 Operation 2 duration 47 mins.
Job 5 Operation 2 duration 386 mins.
Job 6 Operation 2 duration 180 mins.
Job 8 Operation 2 duration 309 mins.
| Solution:
Job 6 Operation 0 on Machine 1 : 0 + 38 -> 38
Job 0 Operation 0 on Machine 2 : 0 + 255 -> 255
Job 6 Operation 1 on Machine 0 : 38 + 122 -> 160
Job 4 Operation 0 on Machine 1 : 38 + 318 -> 356
Job 8 Operation 0 on Machine 0 : 160 + 329 -> 489
Job 6 Operation 2 on Machine 2 : 255 + 180 -> 435
Job 7 Operation 0 on Machine 1 : 356 + 247 -> 603
Job 4 Operation 1 on Machine 2 : 435 + 16 -> 451
Job 1 Operation 0 on Machine 2 : 451 + 138 -> 589
Job 4 Operation 2 on Machine 0 : 489 + 136 -> 625
Job 8 Operation 1 on Machine 1 : 603 + 201 -> 804
Job 7 Operation 1 on Machine 2 : 603 + 39 -> 642
Job 7 Operation 2 on Machine 0 : 642 + 131 -> 773
Job 5 Operation 0 on Machine 0 : 773 + 103 -> 876
Job 2 Operation 0 on Machine 1 : 804 + 361 -> 1165
Job 8 Operation 2 on Machine 2 : 804 + 309 -> 1113
Job 2 Operation 1 on Machine 0 : 1165 + 204 -> 1369
Job 5 Operation 1 on Machine 1 : 1165 + 382 -> 1547
Job 0 Operation 1 on Machine 0 : 1369 + 338 -> 1707
Job 2 Operation 2 on Machine 2 : 1369 + 47 -> 1416
Job 1 Operation 1 on Machine 1 : 1547 + 140 -> 1687
Job 5 Operation 2 on Machine 2 : 1547 + 386 -> 1933
Job 3 Operation 0 on Machine 1 : 1687 + 330 -> 2017
Job 1 Operation 2 on Machine 0 : 1707 + 359 -> 2066
Job 0 Operation 2 on Machine 1 : 2017 + 181 -> 2198
Job 3 Operation 1 on Machine 2 : 2017 + 62 -> 2079
Job 3 Operation 2 on Machine 0 : 2079 + 16 -> 2095
Makespan: 2198.0, as it is the maximum end completion time of Operation 2 |
8 | 4 | Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 3 mins.
Operation 1 on Machine 1 duration 11 mins.
Operation 2 on Machine 0 duration 8 mins.
Operation 3 on Machine 3 duration 19 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 35 mins.
Operation 1 on Machine 0 duration 36 mins.
Operation 2 on Machine 2 duration 50 mins.
Operation 3 on Machine 3 duration 7 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 28 mins.
Operation 1 on Machine 0 duration 37 mins.
Operation 2 on Machine 1 duration 31 mins.
Operation 3 on Machine 2 duration 45 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 17 mins.
Operation 1 on Machine 0 duration 43 mins.
Operation 2 on Machine 2 duration 10 mins.
Operation 3 on Machine 1 duration 52 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 22 mins.
Operation 1 on Machine 3 duration 7 mins.
Operation 2 on Machine 1 duration 52 mins.
Operation 3 on Machine 0 duration 43 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 29 mins.
Operation 1 on Machine 0 duration 50 mins.
Operation 2 on Machine 1 duration 41 mins.
Operation 3 on Machine 2 duration 43 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 18 mins.
Operation 1 on Machine 3 duration 33 mins.
Operation 2 on Machine 1 duration 14 mins.
Operation 3 on Machine 2 duration 40 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 2 mins.
Operation 1 on Machine 3 duration 14 mins.
Operation 2 on Machine 1 duration 12 mins.
Operation 3 on Machine 0 duration 48 mins.
| Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 18 mins.
Job 1 Operation 1 duration 36 mins.
Job 2 Operation 1 duration 37 mins.
Job 3 Operation 1 duration 43 mins.
Job 5 Operation 1 duration 50 mins.
Job 0 Operation 2 duration 8 mins.
Job 4 Operation 3 duration 43 mins.
Job 7 Operation 3 duration 48 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 35 mins.
Job 0 Operation 1 duration 11 mins.
Job 2 Operation 2 duration 31 mins.
Job 4 Operation 2 duration 52 mins.
Job 5 Operation 2 duration 41 mins.
Job 6 Operation 2 duration 14 mins.
Job 7 Operation 2 duration 12 mins.
Job 3 Operation 3 duration 52 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 3 mins.
Job 4 Operation 0 duration 22 mins.
Job 7 Operation 0 duration 2 mins.
Job 1 Operation 2 duration 50 mins.
Job 3 Operation 2 duration 10 mins.
Job 2 Operation 3 duration 45 mins.
Job 5 Operation 3 duration 43 mins.
Job 6 Operation 3 duration 40 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 28 mins.
Job 3 Operation 0 duration 17 mins.
Job 5 Operation 0 duration 29 mins.
Job 4 Operation 1 duration 7 mins.
Job 6 Operation 1 duration 33 mins.
Job 7 Operation 1 duration 14 mins.
Job 0 Operation 3 duration 19 mins.
Job 1 Operation 3 duration 7 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 18 -> 18
Job 7 Operation 0 on Machine 2 : 0 + 2 -> 2
Job 3 Operation 0 on Machine 3 : 0 + 17 -> 17
Job 0 Operation 0 on Machine 2 : 2 + 3 -> 5
Job 0 Operation 1 on Machine 1 : 5 + 11 -> 16
Job 4 Operation 0 on Machine 2 : 5 + 22 -> 27
Job 1 Operation 0 on Machine 1 : 16 + 35 -> 51
Job 2 Operation 0 on Machine 3 : 17 + 28 -> 45
Job 3 Operation 1 on Machine 0 : 18 + 43 -> 61
Job 6 Operation 1 on Machine 3 : 45 + 33 -> 78
Job 2 Operation 1 on Machine 0 : 61 + 37 -> 98
Job 3 Operation 2 on Machine 2 : 61 + 10 -> 71
Job 6 Operation 2 on Machine 1 : 78 + 14 -> 92
Job 7 Operation 1 on Machine 3 : 78 + 14 -> 92
Job 7 Operation 2 on Machine 1 : 92 + 12 -> 104
Job 6 Operation 3 on Machine 2 : 92 + 40 -> 132
Job 4 Operation 1 on Machine 3 : 92 + 7 -> 99
Job 1 Operation 1 on Machine 0 : 98 + 36 -> 134
Job 5 Operation 0 on Machine 3 : 99 + 29 -> 128
Job 2 Operation 2 on Machine 1 : 104 + 31 -> 135
Job 5 Operation 1 on Machine 0 : 134 + 50 -> 184
Job 4 Operation 2 on Machine 1 : 135 + 52 -> 187
Job 2 Operation 3 on Machine 2 : 135 + 45 -> 180
Job 1 Operation 2 on Machine 2 : 180 + 50 -> 230
Job 7 Operation 3 on Machine 0 : 184 + 48 -> 232
Job 5 Operation 2 on Machine 1 : 187 + 41 -> 228
Job 3 Operation 3 on Machine 1 : 228 + 52 -> 280
Job 5 Operation 3 on Machine 2 : 230 + 43 -> 273
Job 1 Operation 3 on Machine 3 : 230 + 7 -> 237
Job 0 Operation 2 on Machine 0 : 232 + 8 -> 240
Job 4 Operation 3 on Machine 0 : 240 + 43 -> 283
Job 0 Operation 3 on Machine 3 : 240 + 19 -> 259
Makespan: 283.0, as it is the maximum end completion time of Operation 3 |
12 | 12 | Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 3 mins.
Operation 1 on Machine 9 duration 19 mins.
Operation 2 on Machine 4 duration 6 mins.
Operation 3 on Machine 7 duration 29 mins.
Operation 4 on Machine 2 duration 2 mins.
Operation 5 on Machine 10 duration 7 mins.
Operation 6 on Machine 11 duration 29 mins.
Operation 7 on Machine 5 duration 27 mins.
Operation 8 on Machine 0 duration 6 mins.
Operation 9 on Machine 1 duration 19 mins.
Operation 10 on Machine 6 duration 18 mins.
Operation 11 on Machine 8 duration 21 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 14 mins.
Operation 1 on Machine 4 duration 25 mins.
Operation 2 on Machine 11 duration 15 mins.
Operation 3 on Machine 7 duration 27 mins.
Operation 4 on Machine 1 duration 26 mins.
Operation 5 on Machine 8 duration 5 mins.
Operation 6 on Machine 6 duration 22 mins.
Operation 7 on Machine 0 duration 26 mins.
Operation 8 on Machine 10 duration 19 mins.
Operation 9 on Machine 2 duration 22 mins.
Operation 10 on Machine 9 duration 25 mins.
Operation 11 on Machine 3 duration 5 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 7 mins.
Operation 1 on Machine 3 duration 22 mins.
Operation 2 on Machine 11 duration 22 mins.
Operation 3 on Machine 6 duration 19 mins.
Operation 4 on Machine 10 duration 28 mins.
Operation 5 on Machine 9 duration 7 mins.
Operation 6 on Machine 5 duration 5 mins.
Operation 7 on Machine 7 duration 29 mins.
Operation 8 on Machine 8 duration 1 mins.
Operation 9 on Machine 2 duration 28 mins.
Operation 10 on Machine 1 duration 25 mins.
Operation 11 on Machine 4 duration 10 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 13 mins.
Operation 1 on Machine 7 duration 21 mins.
Operation 2 on Machine 5 duration 28 mins.
Operation 3 on Machine 1 duration 13 mins.
Operation 4 on Machine 8 duration 22 mins.
Operation 5 on Machine 9 duration 10 mins.
Operation 6 on Machine 10 duration 26 mins.
Operation 7 on Machine 2 duration 20 mins.
Operation 8 on Machine 6 duration 6 mins.
Operation 9 on Machine 4 duration 10 mins.
Operation 10 on Machine 3 duration 5 mins.
Operation 11 on Machine 11 duration 21 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 11 duration 28 mins.
Operation 1 on Machine 10 duration 25 mins.
Operation 2 on Machine 3 duration 10 mins.
Operation 3 on Machine 7 duration 29 mins.
Operation 4 on Machine 4 duration 28 mins.
Operation 5 on Machine 5 duration 29 mins.
Operation 6 on Machine 0 duration 12 mins.
Operation 7 on Machine 6 duration 29 mins.
Operation 8 on Machine 2 duration 26 mins.
Operation 9 on Machine 9 duration 26 mins.
Operation 10 on Machine 1 duration 14 mins.
Operation 11 on Machine 8 duration 26 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 23 mins.
Operation 1 on Machine 0 duration 17 mins.
Operation 2 on Machine 3 duration 20 mins.
Operation 3 on Machine 9 duration 6 mins.
Operation 4 on Machine 8 duration 28 mins.
Operation 5 on Machine 6 duration 3 mins.
Operation 6 on Machine 11 duration 22 mins.
Operation 7 on Machine 10 duration 15 mins.
Operation 8 on Machine 5 duration 13 mins.
Operation 9 on Machine 4 duration 5 mins.
Operation 10 on Machine 7 duration 19 mins.
Operation 11 on Machine 2 duration 15 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 25 mins.
Operation 1 on Machine 5 duration 5 mins.
Operation 2 on Machine 0 duration 12 mins.
Operation 3 on Machine 11 duration 12 mins.
Operation 4 on Machine 2 duration 22 mins.
Operation 5 on Machine 7 duration 20 mins.
Operation 6 on Machine 8 duration 22 mins.
Operation 7 on Machine 1 duration 26 mins.
Operation 8 on Machine 4 duration 13 mins.
Operation 9 on Machine 9 duration 4 mins.
Operation 10 on Machine 6 duration 14 mins.
Operation 11 on Machine 10 duration 17 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 9 mins.
Operation 1 on Machine 3 duration 26 mins.
Operation 2 on Machine 4 duration 16 mins.
Operation 3 on Machine 1 duration 28 mins.
Operation 4 on Machine 0 duration 10 mins.
Operation 5 on Machine 8 duration 29 mins.
Operation 6 on Machine 7 duration 7 mins.
Operation 7 on Machine 11 duration 7 mins.
Operation 8 on Machine 5 duration 19 mins.
Operation 9 on Machine 6 duration 24 mins.
Operation 10 on Machine 10 duration 4 mins.
Operation 11 on Machine 9 duration 4 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 9 duration 25 mins.
Operation 1 on Machine 6 duration 7 mins.
Operation 2 on Machine 7 duration 12 mins.
Operation 3 on Machine 10 duration 10 mins.
Operation 4 on Machine 0 duration 29 mins.
Operation 5 on Machine 2 duration 24 mins.
Operation 6 on Machine 3 duration 22 mins.
Operation 7 on Machine 11 duration 10 mins.
Operation 8 on Machine 8 duration 17 mins.
Operation 9 on Machine 4 duration 29 mins.
Operation 10 on Machine 1 duration 16 mins.
Operation 11 on Machine 5 duration 18 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 10 duration 13 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 0 duration 20 mins.
Operation 3 on Machine 4 duration 2 mins.
Operation 4 on Machine 5 duration 6 mins.
Operation 5 on Machine 8 duration 19 mins.
Operation 6 on Machine 2 duration 27 mins.
Operation 7 on Machine 9 duration 29 mins.
Operation 8 on Machine 11 duration 8 mins.
Operation 9 on Machine 3 duration 22 mins.
Operation 10 on Machine 6 duration 10 mins.
Operation 11 on Machine 7 duration 24 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 4 duration 10 mins.
Operation 1 on Machine 8 duration 13 mins.
Operation 2 on Machine 2 duration 28 mins.
Operation 3 on Machine 3 duration 5 mins.
Operation 4 on Machine 7 duration 24 mins.
Operation 5 on Machine 10 duration 21 mins.
Operation 6 on Machine 6 duration 6 mins.
Operation 7 on Machine 11 duration 15 mins.
Operation 8 on Machine 1 duration 13 mins.
Operation 9 on Machine 5 duration 29 mins.
Operation 10 on Machine 0 duration 27 mins.
Operation 11 on Machine 9 duration 3 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 0 duration 3 mins.
Operation 1 on Machine 5 duration 12 mins.
Operation 2 on Machine 4 duration 28 mins.
Operation 3 on Machine 1 duration 1 mins.
Operation 4 on Machine 7 duration 2 mins.
Operation 5 on Machine 3 duration 23 mins.
Operation 6 on Machine 2 duration 1 mins.
Operation 7 on Machine 9 duration 3 mins.
Operation 8 on Machine 11 duration 26 mins.
Operation 9 on Machine 8 duration 28 mins.
Operation 10 on Machine 6 duration 21 mins.
Operation 11 on Machine 10 duration 1 mins.
| Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 7 mins.
Job 3 Operation 0 duration 13 mins.
Job 11 Operation 0 duration 3 mins.
Job 5 Operation 1 duration 17 mins.
Job 6 Operation 2 duration 12 mins.
Job 9 Operation 2 duration 20 mins.
Job 7 Operation 4 duration 10 mins.
Job 8 Operation 4 duration 29 mins.
Job 4 Operation 6 duration 12 mins.
Job 1 Operation 7 duration 26 mins.
Job 0 Operation 8 duration 6 mins.
Job 10 Operation 10 duration 27 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 23 mins.
Job 9 Operation 1 duration 13 mins.
Job 3 Operation 3 duration 13 mins.
Job 7 Operation 3 duration 28 mins.
Job 11 Operation 3 duration 1 mins.
Job 1 Operation 4 duration 26 mins.
Job 6 Operation 7 duration 26 mins.
Job 10 Operation 8 duration 13 mins.
Job 0 Operation 9 duration 19 mins.
Job 2 Operation 10 duration 25 mins.
Job 4 Operation 10 duration 14 mins.
Job 8 Operation 10 duration 16 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 9 mins.
Job 10 Operation 2 duration 28 mins.
Job 0 Operation 4 duration 2 mins.
Job 6 Operation 4 duration 22 mins.
Job 8 Operation 5 duration 24 mins.
Job 9 Operation 6 duration 27 mins.
Job 11 Operation 6 duration 1 mins.
Job 3 Operation 7 duration 20 mins.
Job 4 Operation 8 duration 26 mins.
Job 1 Operation 9 duration 22 mins.
Job 2 Operation 9 duration 28 mins.
Job 5 Operation 11 duration 15 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 3 mins.
Job 6 Operation 0 duration 25 mins.
Job 2 Operation 1 duration 22 mins.
Job 7 Operation 1 duration 26 mins.
Job 4 Operation 2 duration 10 mins.
Job 5 Operation 2 duration 20 mins.
Job 10 Operation 3 duration 5 mins.
Job 11 Operation 5 duration 23 mins.
Job 8 Operation 6 duration 22 mins.
Job 9 Operation 9 duration 22 mins.
Job 3 Operation 10 duration 5 mins.
Job 1 Operation 11 duration 5 mins.
Machine 4 is used for the following Operations:
Job 10 Operation 0 duration 10 mins.
Job 1 Operation 1 duration 25 mins.
Job 0 Operation 2 duration 6 mins.
Job 7 Operation 2 duration 16 mins.
Job 11 Operation 2 duration 28 mins.
Job 9 Operation 3 duration 2 mins.
Job 4 Operation 4 duration 28 mins.
Job 6 Operation 8 duration 13 mins.
Job 3 Operation 9 duration 10 mins.
Job 5 Operation 9 duration 5 mins.
Job 8 Operation 9 duration 29 mins.
Job 2 Operation 11 duration 10 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 14 mins.
Job 6 Operation 1 duration 5 mins.
Job 11 Operation 1 duration 12 mins.
Job 3 Operation 2 duration 28 mins.
Job 9 Operation 4 duration 6 mins.
Job 4 Operation 5 duration 29 mins.
Job 2 Operation 6 duration 5 mins.
Job 0 Operation 7 duration 27 mins.
Job 5 Operation 8 duration 13 mins.
Job 7 Operation 8 duration 19 mins.
Job 10 Operation 9 duration 29 mins.
Job 8 Operation 11 duration 18 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 1 duration 7 mins.
Job 2 Operation 3 duration 19 mins.
Job 5 Operation 5 duration 3 mins.
Job 1 Operation 6 duration 22 mins.
Job 10 Operation 6 duration 6 mins.
Job 4 Operation 7 duration 29 mins.
Job 3 Operation 8 duration 6 mins.
Job 7 Operation 9 duration 24 mins.
Job 0 Operation 10 duration 18 mins.
Job 6 Operation 10 duration 14 mins.
Job 9 Operation 10 duration 10 mins.
Job 11 Operation 10 duration 21 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 1 duration 21 mins.
Job 8 Operation 2 duration 12 mins.
Job 0 Operation 3 duration 29 mins.
Job 1 Operation 3 duration 27 mins.
Job 4 Operation 3 duration 29 mins.
Job 10 Operation 4 duration 24 mins.
Job 11 Operation 4 duration 2 mins.
Job 6 Operation 5 duration 20 mins.
Job 7 Operation 6 duration 7 mins.
Job 2 Operation 7 duration 29 mins.
Job 5 Operation 10 duration 19 mins.
Job 9 Operation 11 duration 24 mins.
Machine 8 is used for the following Operations:
Job 10 Operation 1 duration 13 mins.
Job 3 Operation 4 duration 22 mins.
Job 5 Operation 4 duration 28 mins.
Job 1 Operation 5 duration 5 mins.
Job 7 Operation 5 duration 29 mins.
Job 9 Operation 5 duration 19 mins.
Job 6 Operation 6 duration 22 mins.
Job 2 Operation 8 duration 1 mins.
Job 8 Operation 8 duration 17 mins.
Job 11 Operation 9 duration 28 mins.
Job 0 Operation 11 duration 21 mins.
Job 4 Operation 11 duration 26 mins.
Machine 9 is used for the following Operations:
Job 8 Operation 0 duration 25 mins.
Job 0 Operation 1 duration 19 mins.
Job 5 Operation 3 duration 6 mins.
Job 2 Operation 5 duration 7 mins.
Job 3 Operation 5 duration 10 mins.
Job 9 Operation 7 duration 29 mins.
Job 11 Operation 7 duration 3 mins.
Job 4 Operation 9 duration 26 mins.
Job 6 Operation 9 duration 4 mins.
Job 1 Operation 10 duration 25 mins.
Job 7 Operation 11 duration 4 mins.
Job 10 Operation 11 duration 3 mins.
Machine 10 is used for the following Operations:
Job 9 Operation 0 duration 13 mins.
Job 4 Operation 1 duration 25 mins.
Job 8 Operation 3 duration 10 mins.
Job 2 Operation 4 duration 28 mins.
Job 0 Operation 5 duration 7 mins.
Job 10 Operation 5 duration 21 mins.
Job 3 Operation 6 duration 26 mins.
Job 5 Operation 7 duration 15 mins.
Job 1 Operation 8 duration 19 mins.
Job 7 Operation 10 duration 4 mins.
Job 6 Operation 11 duration 17 mins.
Job 11 Operation 11 duration 1 mins.
Machine 11 is used for the following Operations:
Job 4 Operation 0 duration 28 mins.
Job 1 Operation 2 duration 15 mins.
Job 2 Operation 2 duration 22 mins.
Job 6 Operation 3 duration 12 mins.
Job 0 Operation 6 duration 29 mins.
Job 5 Operation 6 duration 22 mins.
Job 7 Operation 7 duration 7 mins.
Job 8 Operation 7 duration 10 mins.
Job 10 Operation 7 duration 15 mins.
Job 9 Operation 8 duration 8 mins.
Job 11 Operation 8 duration 26 mins.
Job 3 Operation 11 duration 21 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 13 -> 13
Job 5 Operation 0 on Machine 1 : 0 + 23 -> 23
Job 7 Operation 0 on Machine 2 : 0 + 9 -> 9
Job 0 Operation 0 on Machine 3 : 0 + 3 -> 3
Job 10 Operation 0 on Machine 4 : 0 + 10 -> 10
Job 1 Operation 0 on Machine 5 : 0 + 14 -> 14
Job 9 Operation 0 on Machine 10 : 0 + 13 -> 13
Job 4 Operation 0 on Machine 11 : 0 + 28 -> 28
Job 6 Operation 0 on Machine 3 : 3 + 25 -> 28
Job 0 Operation 1 on Machine 9 : 3 + 19 -> 22
Job 10 Operation 1 on Machine 8 : 10 + 13 -> 23
Job 2 Operation 0 on Machine 0 : 13 + 7 -> 20
Job 3 Operation 1 on Machine 7 : 13 + 21 -> 34
Job 11 Operation 0 on Machine 0 : 20 + 3 -> 23
Job 0 Operation 2 on Machine 4 : 22 + 6 -> 28
Job 8 Operation 0 on Machine 9 : 22 + 25 -> 47
Job 9 Operation 1 on Machine 1 : 23 + 13 -> 36
Job 10 Operation 2 on Machine 2 : 23 + 28 -> 51
Job 11 Operation 1 on Machine 5 : 23 + 12 -> 35
Job 7 Operation 1 on Machine 3 : 28 + 26 -> 54
Job 1 Operation 1 on Machine 4 : 28 + 25 -> 53
Job 4 Operation 1 on Machine 10 : 28 + 25 -> 53
Job 0 Operation 3 on Machine 7 : 34 + 29 -> 63
Job 3 Operation 2 on Machine 5 : 35 + 28 -> 63
Job 9 Operation 2 on Machine 0 : 36 + 20 -> 56
Job 8 Operation 1 on Machine 6 : 47 + 7 -> 54
Job 1 Operation 2 on Machine 11 : 53 + 15 -> 68
Job 4 Operation 2 on Machine 3 : 54 + 10 -> 64
Job 5 Operation 1 on Machine 0 : 56 + 17 -> 73
Job 9 Operation 3 on Machine 4 : 56 + 2 -> 58
Job 7 Operation 2 on Machine 4 : 58 + 16 -> 74
Job 3 Operation 3 on Machine 1 : 63 + 13 -> 76
Job 0 Operation 4 on Machine 2 : 63 + 2 -> 65
Job 9 Operation 4 on Machine 5 : 63 + 6 -> 69
Job 2 Operation 1 on Machine 3 : 64 + 22 -> 86
Job 4 Operation 3 on Machine 7 : 64 + 29 -> 93
Job 0 Operation 5 on Machine 10 : 65 + 7 -> 72
Job 6 Operation 1 on Machine 5 : 69 + 5 -> 74
Job 9 Operation 5 on Machine 8 : 69 + 19 -> 88
Job 6 Operation 2 on Machine 0 : 74 + 12 -> 86
Job 7 Operation 3 on Machine 1 : 76 + 28 -> 104
Job 5 Operation 2 on Machine 3 : 86 + 20 -> 106
Job 2 Operation 2 on Machine 11 : 86 + 22 -> 108
Job 9 Operation 6 on Machine 2 : 88 + 27 -> 115
Job 3 Operation 4 on Machine 8 : 88 + 22 -> 110
Job 4 Operation 4 on Machine 4 : 93 + 28 -> 121
Job 8 Operation 2 on Machine 7 : 93 + 12 -> 105
Job 7 Operation 4 on Machine 0 : 104 + 10 -> 114
Job 1 Operation 3 on Machine 7 : 105 + 27 -> 132
Job 8 Operation 3 on Machine 10 : 105 + 10 -> 115
Job 10 Operation 3 on Machine 3 : 106 + 5 -> 111
Job 5 Operation 3 on Machine 9 : 106 + 6 -> 112
Job 2 Operation 3 on Machine 6 : 108 + 19 -> 127
Job 6 Operation 3 on Machine 11 : 108 + 12 -> 120
Job 5 Operation 4 on Machine 8 : 112 + 28 -> 140
Job 3 Operation 5 on Machine 9 : 112 + 10 -> 122
Job 8 Operation 4 on Machine 0 : 115 + 29 -> 144
Job 6 Operation 4 on Machine 2 : 120 + 22 -> 142
Job 0 Operation 6 on Machine 11 : 120 + 29 -> 149
Job 11 Operation 2 on Machine 4 : 121 + 28 -> 149
Job 4 Operation 5 on Machine 5 : 121 + 29 -> 150
Job 9 Operation 7 on Machine 9 : 122 + 29 -> 151
Job 3 Operation 6 on Machine 10 : 122 + 26 -> 148
Job 1 Operation 4 on Machine 1 : 132 + 26 -> 158
Job 5 Operation 5 on Machine 6 : 140 + 3 -> 143
Job 7 Operation 5 on Machine 8 : 140 + 29 -> 169
Job 6 Operation 5 on Machine 7 : 142 + 20 -> 162
Job 8 Operation 5 on Machine 2 : 144 + 24 -> 168
Job 2 Operation 4 on Machine 10 : 148 + 28 -> 176
Job 4 Operation 6 on Machine 0 : 150 + 12 -> 162
Job 0 Operation 7 on Machine 5 : 150 + 27 -> 177
Job 9 Operation 8 on Machine 11 : 151 + 8 -> 159
Job 11 Operation 3 on Machine 1 : 158 + 1 -> 159
Job 5 Operation 6 on Machine 11 : 159 + 22 -> 181
Job 4 Operation 7 on Machine 6 : 162 + 29 -> 191
Job 10 Operation 4 on Machine 7 : 162 + 24 -> 186
Job 3 Operation 7 on Machine 2 : 168 + 20 -> 188
Job 8 Operation 6 on Machine 3 : 168 + 22 -> 190
Job 1 Operation 5 on Machine 8 : 169 + 5 -> 174
Job 6 Operation 6 on Machine 8 : 174 + 22 -> 196
Job 2 Operation 5 on Machine 9 : 176 + 7 -> 183
Job 0 Operation 8 on Machine 0 : 177 + 6 -> 183
Job 0 Operation 9 on Machine 1 : 183 + 19 -> 202
Job 2 Operation 6 on Machine 5 : 183 + 5 -> 188
Job 11 Operation 4 on Machine 7 : 186 + 2 -> 188
Job 10 Operation 5 on Machine 10 : 186 + 21 -> 207
Job 7 Operation 6 on Machine 7 : 188 + 7 -> 195
Job 11 Operation 5 on Machine 3 : 190 + 23 -> 213
Job 8 Operation 7 on Machine 11 : 190 + 10 -> 200
Job 4 Operation 8 on Machine 2 : 191 + 26 -> 217
Job 1 Operation 6 on Machine 6 : 191 + 22 -> 213
Job 2 Operation 7 on Machine 7 : 195 + 29 -> 224
Job 8 Operation 8 on Machine 8 : 200 + 17 -> 217
Job 7 Operation 7 on Machine 11 : 200 + 7 -> 207
Job 6 Operation 7 on Machine 1 : 202 + 26 -> 228
Job 7 Operation 8 on Machine 5 : 207 + 19 -> 226
Job 5 Operation 7 on Machine 10 : 207 + 15 -> 222
Job 1 Operation 7 on Machine 0 : 213 + 26 -> 239
Job 9 Operation 9 on Machine 3 : 213 + 22 -> 235
Job 10 Operation 6 on Machine 6 : 213 + 6 -> 219
Job 11 Operation 6 on Machine 2 : 217 + 1 -> 218
Job 8 Operation 9 on Machine 4 : 217 + 29 -> 246
Job 11 Operation 7 on Machine 9 : 218 + 3 -> 221
Job 0 Operation 10 on Machine 6 : 219 + 18 -> 237
Job 10 Operation 7 on Machine 11 : 219 + 15 -> 234
Job 4 Operation 9 on Machine 9 : 221 + 26 -> 247
Job 2 Operation 8 on Machine 8 : 224 + 1 -> 225
Job 2 Operation 9 on Machine 2 : 225 + 28 -> 253
Job 5 Operation 8 on Machine 5 : 226 + 13 -> 239
Job 10 Operation 8 on Machine 1 : 234 + 13 -> 247
Job 11 Operation 8 on Machine 11 : 234 + 26 -> 260
Job 3 Operation 8 on Machine 6 : 237 + 6 -> 243
Job 0 Operation 11 on Machine 8 : 237 + 21 -> 258
Job 1 Operation 8 on Machine 10 : 239 + 19 -> 258
Job 9 Operation 10 on Machine 6 : 243 + 10 -> 253
Job 6 Operation 8 on Machine 4 : 246 + 13 -> 259
Job 4 Operation 10 on Machine 1 : 247 + 14 -> 261
Job 10 Operation 9 on Machine 5 : 247 + 29 -> 276
Job 7 Operation 9 on Machine 6 : 253 + 24 -> 277
Job 9 Operation 11 on Machine 7 : 253 + 24 -> 277
Job 1 Operation 9 on Machine 2 : 258 + 22 -> 280
Job 5 Operation 9 on Machine 4 : 259 + 5 -> 264
Job 6 Operation 9 on Machine 9 : 259 + 4 -> 263
Job 11 Operation 9 on Machine 8 : 260 + 28 -> 288
Job 8 Operation 10 on Machine 1 : 261 + 16 -> 277
Job 3 Operation 9 on Machine 4 : 264 + 10 -> 274
Job 3 Operation 10 on Machine 3 : 274 + 5 -> 279
Job 10 Operation 10 on Machine 0 : 276 + 27 -> 303
Job 2 Operation 10 on Machine 1 : 277 + 25 -> 302
Job 8 Operation 11 on Machine 5 : 277 + 18 -> 295
Job 6 Operation 10 on Machine 6 : 277 + 14 -> 291
Job 5 Operation 10 on Machine 7 : 277 + 19 -> 296
Job 7 Operation 10 on Machine 10 : 277 + 4 -> 281
Job 3 Operation 11 on Machine 11 : 279 + 21 -> 300
Job 1 Operation 10 on Machine 9 : 280 + 25 -> 305
Job 4 Operation 11 on Machine 8 : 288 + 26 -> 314
Job 11 Operation 10 on Machine 6 : 291 + 21 -> 312
Job 6 Operation 11 on Machine 10 : 291 + 17 -> 308
Job 5 Operation 11 on Machine 2 : 296 + 15 -> 311
Job 2 Operation 11 on Machine 4 : 302 + 10 -> 312
Job 1 Operation 11 on Machine 3 : 305 + 5 -> 310
Job 7 Operation 11 on Machine 9 : 305 + 4 -> 309
Job 10 Operation 11 on Machine 9 : 309 + 3 -> 312
Job 11 Operation 11 on Machine 10 : 312 + 1 -> 313
Makespan: 314.0, as it is the maximum end completion time of Operation 11 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 8 mins.
Operation 1 on Machine 0 duration 1 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 158 mins.
Operation 1 on Machine 0 duration 18 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 184 mins.
Operation 1 on Machine 1 duration 156 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 59 mins.
Operation 1 on Machine 1 duration 40 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 1 duration 147 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 184 mins.
Job 3 Operation 0 duration 59 mins.
Job 4 Operation 0 duration 30 mins.
Job 0 Operation 1 duration 1 mins.
Job 1 Operation 1 duration 18 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 8 mins.
Job 1 Operation 0 duration 158 mins.
Job 2 Operation 1 duration 156 mins.
Job 3 Operation 1 duration 40 mins.
Job 4 Operation 1 duration 147 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 30 -> 30
Job 0 Operation 0 on Machine 1 : 0 + 8 -> 8
Job 1 Operation 0 on Machine 1 : 8 + 158 -> 166
Job 0 Operation 1 on Machine 0 : 30 + 1 -> 31
Job 3 Operation 0 on Machine 0 : 31 + 59 -> 90
Job 2 Operation 0 on Machine 0 : 90 + 184 -> 274
Job 3 Operation 1 on Machine 1 : 166 + 40 -> 206
Job 4 Operation 1 on Machine 1 : 206 + 147 -> 353
Job 1 Operation 1 on Machine 0 : 274 + 18 -> 292
Job 2 Operation 1 on Machine 1 : 353 + 156 -> 509
Makespan: 509.0, as it is the maximum end completion time of Operation 1 |
4 | 2 | Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 202 mins.
Operation 1 on Machine 1 duration 123 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 188 mins.
Operation 1 on Machine 1 duration 299 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 186 mins.
Operation 1 on Machine 0 duration 13 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 269 mins.
Operation 1 on Machine 0 duration 103 mins.
| Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 202 mins.
Job 1 Operation 0 duration 188 mins.
Job 2 Operation 1 duration 13 mins.
Job 3 Operation 1 duration 103 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 186 mins.
Job 3 Operation 0 duration 269 mins.
Job 0 Operation 1 duration 123 mins.
Job 1 Operation 1 duration 299 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 188 -> 188
Job 2 Operation 0 on Machine 1 : 0 + 186 -> 186
Job 3 Operation 0 on Machine 1 : 186 + 269 -> 455
Job 2 Operation 1 on Machine 0 : 188 + 13 -> 201
Job 0 Operation 0 on Machine 0 : 201 + 202 -> 403
Job 3 Operation 1 on Machine 0 : 455 + 103 -> 558
Job 0 Operation 1 on Machine 1 : 455 + 123 -> 578
Job 1 Operation 1 on Machine 1 : 578 + 299 -> 877
Makespan: 877.0, as it is the maximum end completion time of Operation 1 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 279 mins.
Operation 1 on Machine 1 duration 63 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 295 mins.
Operation 1 on Machine 1 duration 15 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 277 mins.
Operation 1 on Machine 0 duration 22 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 250 mins.
Operation 1 on Machine 1 duration 79 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 307 mins.
Operation 1 on Machine 1 duration 189 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 294 mins.
Operation 1 on Machine 0 duration 52 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 289 mins.
Operation 1 on Machine 0 duration 19 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 279 mins.
Job 1 Operation 0 duration 295 mins.
Job 3 Operation 0 duration 250 mins.
Job 4 Operation 0 duration 307 mins.
Job 2 Operation 1 duration 22 mins.
Job 5 Operation 1 duration 52 mins.
Job 6 Operation 1 duration 19 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 277 mins.
Job 5 Operation 0 duration 294 mins.
Job 6 Operation 0 duration 289 mins.
Job 0 Operation 1 duration 63 mins.
Job 1 Operation 1 duration 15 mins.
Job 3 Operation 1 duration 79 mins.
Job 4 Operation 1 duration 189 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 250 -> 250
Job 2 Operation 0 on Machine 1 : 0 + 277 -> 277
Job 4 Operation 0 on Machine 0 : 250 + 307 -> 557
Job 6 Operation 0 on Machine 1 : 277 + 289 -> 566
Job 2 Operation 1 on Machine 0 : 557 + 22 -> 579
Job 4 Operation 1 on Machine 1 : 566 + 189 -> 755
Job 6 Operation 1 on Machine 0 : 579 + 19 -> 598
Job 0 Operation 0 on Machine 0 : 598 + 279 -> 877
Job 3 Operation 1 on Machine 1 : 755 + 79 -> 834
Job 5 Operation 0 on Machine 1 : 834 + 294 -> 1128
Job 1 Operation 0 on Machine 0 : 877 + 295 -> 1172
Job 0 Operation 1 on Machine 1 : 1128 + 63 -> 1191
Job 5 Operation 1 on Machine 0 : 1172 + 52 -> 1224
Job 1 Operation 1 on Machine 1 : 1191 + 15 -> 1206
Makespan: 1224.0, as it is the maximum end completion time of Operation 1 |
20 | 20 | Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 88 mins.
Operation 1 on Machine 18 duration 10 mins.
Operation 2 on Machine 6 duration 65 mins.
Operation 3 on Machine 11 duration 82 mins.
Operation 4 on Machine 17 duration 95 mins.
Operation 5 on Machine 10 duration 95 mins.
Operation 6 on Machine 16 duration 47 mins.
Operation 7 on Machine 2 duration 90 mins.
Operation 8 on Machine 1 duration 87 mins.
Operation 9 on Machine 14 duration 93 mins.
Operation 10 on Machine 3 duration 4 mins.
Operation 11 on Machine 9 duration 15 mins.
Operation 12 on Machine 8 duration 57 mins.
Operation 13 on Machine 4 duration 47 mins.
Operation 14 on Machine 7 duration 86 mins.
Operation 15 on Machine 15 duration 7 mins.
Operation 16 on Machine 13 duration 17 mins.
Operation 17 on Machine 19 duration 10 mins.
Operation 18 on Machine 0 duration 80 mins.
Operation 19 on Machine 12 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 36 mins.
Operation 1 on Machine 7 duration 78 mins.
Operation 2 on Machine 19 duration 63 mins.
Operation 3 on Machine 12 duration 83 mins.
Operation 4 on Machine 11 duration 15 mins.
Operation 5 on Machine 5 duration 87 mins.
Operation 6 on Machine 14 duration 43 mins.
Operation 7 on Machine 3 duration 35 mins.
Operation 8 on Machine 10 duration 66 mins.
Operation 9 on Machine 1 duration 67 mins.
Operation 10 on Machine 17 duration 69 mins.
Operation 11 on Machine 16 duration 23 mins.
Operation 12 on Machine 9 duration 47 mins.
Operation 13 on Machine 13 duration 3 mins.
Operation 14 on Machine 6 duration 5 mins.
Operation 15 on Machine 8 duration 3 mins.
Operation 16 on Machine 18 duration 65 mins.
Operation 17 on Machine 2 duration 55 mins.
Operation 18 on Machine 15 duration 86 mins.
Operation 19 on Machine 4 duration 88 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 16 duration 21 mins.
Operation 1 on Machine 4 duration 29 mins.
Operation 2 on Machine 1 duration 76 mins.
Operation 3 on Machine 11 duration 66 mins.
Operation 4 on Machine 10 duration 86 mins.
Operation 5 on Machine 15 duration 93 mins.
Operation 6 on Machine 13 duration 52 mins.
Operation 7 on Machine 12 duration 82 mins.
Operation 8 on Machine 3 duration 12 mins.
Operation 9 on Machine 19 duration 38 mins.
Operation 10 on Machine 5 duration 88 mins.
Operation 11 on Machine 17 duration 2 mins.
Operation 12 on Machine 2 duration 52 mins.
Operation 13 on Machine 9 duration 64 mins.
Operation 14 on Machine 18 duration 75 mins.
Operation 15 on Machine 6 duration 41 mins.
Operation 16 on Machine 0 duration 54 mins.
Operation 17 on Machine 8 duration 61 mins.
Operation 18 on Machine 7 duration 19 mins.
Operation 19 on Machine 14 duration 94 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 8 duration 71 mins.
Operation 1 on Machine 2 duration 15 mins.
Operation 2 on Machine 5 duration 86 mins.
Operation 3 on Machine 11 duration 74 mins.
Operation 4 on Machine 10 duration 47 mins.
Operation 5 on Machine 6 duration 30 mins.
Operation 6 on Machine 19 duration 70 mins.
Operation 7 on Machine 3 duration 20 mins.
Operation 8 on Machine 15 duration 42 mins.
Operation 9 on Machine 16 duration 48 mins.
Operation 10 on Machine 18 duration 76 mins.
Operation 11 on Machine 12 duration 25 mins.
Operation 12 on Machine 4 duration 64 mins.
Operation 13 on Machine 14 duration 14 mins.
Operation 14 on Machine 9 duration 91 mins.
Operation 15 on Machine 0 duration 45 mins.
Operation 16 on Machine 13 duration 2 mins.
Operation 17 on Machine 17 duration 19 mins.
Operation 18 on Machine 1 duration 42 mins.
Operation 19 on Machine 7 duration 28 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 11 duration 34 mins.
Operation 1 on Machine 12 duration 81 mins.
Operation 2 on Machine 13 duration 5 mins.
Operation 3 on Machine 10 duration 77 mins.
Operation 4 on Machine 7 duration 24 mins.
Operation 5 on Machine 18 duration 55 mins.
Operation 6 on Machine 14 duration 87 mins.
Operation 7 on Machine 1 duration 26 mins.
Operation 8 on Machine 4 duration 60 mins.
Operation 9 on Machine 5 duration 91 mins.
Operation 10 on Machine 6 duration 24 mins.
Operation 11 on Machine 0 duration 38 mins.
Operation 12 on Machine 16 duration 7 mins.
Operation 13 on Machine 8 duration 80 mins.
Operation 14 on Machine 17 duration 57 mins.
Operation 15 on Machine 9 duration 12 mins.
Operation 16 on Machine 3 duration 71 mins.
Operation 17 on Machine 2 duration 80 mins.
Operation 18 on Machine 15 duration 44 mins.
Operation 19 on Machine 19 duration 80 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 17 duration 73 mins.
Operation 1 on Machine 18 duration 50 mins.
Operation 2 on Machine 7 duration 89 mins.
Operation 3 on Machine 5 duration 14 mins.
Operation 4 on Machine 6 duration 95 mins.
Operation 5 on Machine 16 duration 5 mins.
Operation 6 on Machine 14 duration 85 mins.
Operation 7 on Machine 10 duration 42 mins.
Operation 8 on Machine 3 duration 41 mins.
Operation 9 on Machine 1 duration 87 mins.
Operation 10 on Machine 9 duration 96 mins.
Operation 11 on Machine 15 duration 18 mins.
Operation 12 on Machine 19 duration 21 mins.
Operation 13 on Machine 12 duration 95 mins.
Operation 14 on Machine 2 duration 74 mins.
Operation 15 on Machine 8 duration 40 mins.
Operation 16 on Machine 0 duration 70 mins.
Operation 17 on Machine 11 duration 49 mins.
Operation 18 on Machine 4 duration 28 mins.
Operation 19 on Machine 13 duration 17 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 15 duration 17 mins.
Operation 1 on Machine 11 duration 79 mins.
Operation 2 on Machine 7 duration 95 mins.
Operation 3 on Machine 19 duration 44 mins.
Operation 4 on Machine 18 duration 52 mins.
Operation 5 on Machine 16 duration 14 mins.
Operation 6 on Machine 5 duration 5 mins.
Operation 7 on Machine 17 duration 57 mins.
Operation 8 on Machine 9 duration 67 mins.
Operation 9 on Machine 8 duration 22 mins.
Operation 10 on Machine 10 duration 5 mins.
Operation 11 on Machine 2 duration 73 mins.
Operation 12 on Machine 14 duration 36 mins.
Operation 13 on Machine 0 duration 10 mins.
Operation 14 on Machine 6 duration 23 mins.
Operation 15 on Machine 12 duration 76 mins.
Operation 16 on Machine 3 duration 46 mins.
Operation 17 on Machine 4 duration 41 mins.
Operation 18 on Machine 1 duration 57 mins.
Operation 19 on Machine 13 duration 97 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 10 duration 92 mins.
Operation 1 on Machine 0 duration 94 mins.
Operation 2 on Machine 11 duration 90 mins.
Operation 3 on Machine 8 duration 30 mins.
Operation 4 on Machine 14 duration 30 mins.
Operation 5 on Machine 3 duration 16 mins.
Operation 6 on Machine 6 duration 74 mins.
Operation 7 on Machine 17 duration 92 mins.
Operation 8 on Machine 15 duration 4 mins.
Operation 9 on Machine 1 duration 72 mins.
Operation 10 on Machine 19 duration 98 mins.
Operation 11 on Machine 9 duration 51 mins.
Operation 12 on Machine 4 duration 18 mins.
Operation 13 on Machine 2 duration 73 mins.
Operation 14 on Machine 16 duration 75 mins.
Operation 15 on Machine 18 duration 3 mins.
Operation 16 on Machine 7 duration 78 mins.
Operation 17 on Machine 13 duration 18 mins.
Operation 18 on Machine 12 duration 85 mins.
Operation 19 on Machine 5 duration 69 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 10 duration 87 mins.
Operation 1 on Machine 11 duration 82 mins.
Operation 2 on Machine 6 duration 32 mins.
Operation 3 on Machine 2 duration 65 mins.
Operation 4 on Machine 15 duration 97 mins.
Operation 5 on Machine 5 duration 88 mins.
Operation 6 on Machine 17 duration 21 mins.
Operation 7 on Machine 1 duration 42 mins.
Operation 8 on Machine 13 duration 32 mins.
Operation 9 on Machine 16 duration 88 mins.
Operation 10 on Machine 14 duration 5 mins.
Operation 11 on Machine 3 duration 32 mins.
Operation 12 on Machine 8 duration 65 mins.
Operation 13 on Machine 12 duration 13 mins.
Operation 14 on Machine 19 duration 48 mins.
Operation 15 on Machine 7 duration 88 mins.
Operation 16 on Machine 18 duration 93 mins.
Operation 17 on Machine 4 duration 4 mins.
Operation 18 on Machine 9 duration 17 mins.
Operation 19 on Machine 0 duration 39 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 3 mins.
Operation 1 on Machine 6 duration 88 mins.
Operation 2 on Machine 17 duration 3 mins.
Operation 3 on Machine 12 duration 73 mins.
Operation 4 on Machine 4 duration 58 mins.
Operation 5 on Machine 14 duration 64 mins.
Operation 6 on Machine 11 duration 66 mins.
Operation 7 on Machine 16 duration 41 mins.
Operation 8 on Machine 3 duration 76 mins.
Operation 9 on Machine 8 duration 16 mins.
Operation 10 on Machine 2 duration 98 mins.
Operation 11 on Machine 5 duration 86 mins.
Operation 12 on Machine 7 duration 1 mins.
Operation 13 on Machine 15 duration 79 mins.
Operation 14 on Machine 1 duration 62 mins.
Operation 15 on Machine 9 duration 69 mins.
Operation 16 on Machine 13 duration 72 mins.
Operation 17 on Machine 10 duration 90 mins.
Operation 18 on Machine 19 duration 96 mins.
Operation 19 on Machine 18 duration 62 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 15 duration 60 mins.
Operation 1 on Machine 13 duration 43 mins.
Operation 2 on Machine 1 duration 23 mins.
Operation 3 on Machine 17 duration 77 mins.
Operation 4 on Machine 2 duration 52 mins.
Operation 5 on Machine 7 duration 60 mins.
Operation 6 on Machine 10 duration 2 mins.
Operation 7 on Machine 14 duration 49 mins.
Operation 8 on Machine 16 duration 53 mins.
Operation 9 on Machine 12 duration 89 mins.
Operation 10 on Machine 11 duration 80 mins.
Operation 11 on Machine 4 duration 48 mins.
Operation 12 on Machine 8 duration 68 mins.
Operation 13 on Machine 19 duration 54 mins.
Operation 14 on Machine 9 duration 49 mins.
Operation 15 on Machine 5 duration 92 mins.
Operation 16 on Machine 3 duration 26 mins.
Operation 17 on Machine 6 duration 83 mins.
Operation 18 on Machine 18 duration 42 mins.
Operation 19 on Machine 0 duration 53 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 18 duration 19 mins.
Operation 1 on Machine 9 duration 52 mins.
Operation 2 on Machine 12 duration 67 mins.
Operation 3 on Machine 0 duration 84 mins.
Operation 4 on Machine 4 duration 26 mins.
Operation 5 on Machine 14 duration 73 mins.
Operation 6 on Machine 13 duration 94 mins.
Operation 7 on Machine 5 duration 78 mins.
Operation 8 on Machine 2 duration 90 mins.
Operation 9 on Machine 3 duration 23 mins.
Operation 10 on Machine 10 duration 86 mins.
Operation 11 on Machine 11 duration 13 mins.
Operation 12 on Machine 8 duration 89 mins.
Operation 13 on Machine 17 duration 2 mins.
Operation 14 on Machine 15 duration 35 mins.
Operation 15 on Machine 1 duration 81 mins.
Operation 16 on Machine 6 duration 30 mins.
Operation 17 on Machine 7 duration 21 mins.
Operation 18 on Machine 19 duration 28 mins.
Operation 19 on Machine 16 duration 62 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 0 duration 66 mins.
Operation 1 on Machine 11 duration 50 mins.
Operation 2 on Machine 3 duration 32 mins.
Operation 3 on Machine 7 duration 86 mins.
Operation 4 on Machine 14 duration 90 mins.
Operation 5 on Machine 13 duration 32 mins.
Operation 6 on Machine 4 duration 22 mins.
Operation 7 on Machine 10 duration 14 mins.
Operation 8 on Machine 16 duration 47 mins.
Operation 9 on Machine 1 duration 91 mins.
Operation 10 on Machine 9 duration 46 mins.
Operation 11 on Machine 19 duration 68 mins.
Operation 12 on Machine 2 duration 2 mins.
Operation 13 on Machine 15 duration 27 mins.
Operation 14 on Machine 5 duration 41 mins.
Operation 15 on Machine 12 duration 15 mins.
Operation 16 on Machine 8 duration 57 mins.
Operation 17 on Machine 6 duration 73 mins.
Operation 18 on Machine 18 duration 75 mins.
Operation 19 on Machine 17 duration 94 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 8 duration 45 mins.
Operation 1 on Machine 2 duration 53 mins.
Operation 2 on Machine 3 duration 83 mins.
Operation 3 on Machine 14 duration 19 mins.
Operation 4 on Machine 1 duration 10 mins.
Operation 5 on Machine 10 duration 30 mins.
Operation 6 on Machine 5 duration 51 mins.
Operation 7 on Machine 9 duration 22 mins.
Operation 8 on Machine 19 duration 7 mins.
Operation 9 on Machine 15 duration 45 mins.
Operation 10 on Machine 0 duration 90 mins.
Operation 11 on Machine 13 duration 46 mins.
Operation 12 on Machine 12 duration 87 mins.
Operation 13 on Machine 6 duration 88 mins.
Operation 14 on Machine 18 duration 40 mins.
Operation 15 on Machine 17 duration 4 mins.
Operation 16 on Machine 4 duration 27 mins.
Operation 17 on Machine 11 duration 84 mins.
Operation 18 on Machine 16 duration 80 mins.
Operation 19 on Machine 7 duration 67 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 9 duration 80 mins.
Operation 1 on Machine 13 duration 66 mins.
Operation 2 on Machine 6 duration 1 mins.
Operation 3 on Machine 2 duration 9 mins.
Operation 4 on Machine 17 duration 93 mins.
Operation 5 on Machine 3 duration 92 mins.
Operation 6 on Machine 18 duration 76 mins.
Operation 7 on Machine 11 duration 46 mins.
Operation 8 on Machine 15 duration 8 mins.
Operation 9 on Machine 1 duration 35 mins.
Operation 10 on Machine 5 duration 53 mins.
Operation 11 on Machine 14 duration 11 mins.
Operation 12 on Machine 16 duration 87 mins.
Operation 13 on Machine 12 duration 1 mins.
Operation 14 on Machine 0 duration 69 mins.
Operation 15 on Machine 4 duration 88 mins.
Operation 16 on Machine 7 duration 27 mins.
Operation 17 on Machine 19 duration 83 mins.
Operation 18 on Machine 10 duration 5 mins.
Operation 19 on Machine 8 duration 2 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 15 duration 49 mins.
Operation 1 on Machine 12 duration 81 mins.
Operation 2 on Machine 0 duration 18 mins.
Operation 3 on Machine 5 duration 53 mins.
Operation 4 on Machine 3 duration 2 mins.
Operation 5 on Machine 4 duration 61 mins.
Operation 6 on Machine 19 duration 15 mins.
Operation 7 on Machine 16 duration 85 mins.
Operation 8 on Machine 9 duration 65 mins.
Operation 9 on Machine 10 duration 48 mins.
Operation 10 on Machine 8 duration 95 mins.
Operation 11 on Machine 7 duration 26 mins.
Operation 12 on Machine 1 duration 62 mins.
Operation 13 on Machine 17 duration 49 mins.
Operation 14 on Machine 2 duration 12 mins.
Operation 15 on Machine 13 duration 63 mins.
Operation 16 on Machine 11 duration 52 mins.
Operation 17 on Machine 14 duration 75 mins.
Operation 18 on Machine 18 duration 51 mins.
Operation 19 on Machine 6 duration 38 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 14 duration 78 mins.
Operation 1 on Machine 5 duration 75 mins.
Operation 2 on Machine 4 duration 28 mins.
Operation 3 on Machine 19 duration 20 mins.
Operation 4 on Machine 15 duration 47 mins.
Operation 5 on Machine 18 duration 41 mins.
Operation 6 on Machine 2 duration 97 mins.
Operation 7 on Machine 12 duration 88 mins.
Operation 8 on Machine 7 duration 81 mins.
Operation 9 on Machine 1 duration 97 mins.
Operation 10 on Machine 9 duration 70 mins.
Operation 11 on Machine 16 duration 96 mins.
Operation 12 on Machine 0 duration 72 mins.
Operation 13 on Machine 13 duration 16 mins.
Operation 14 on Machine 10 duration 2 mins.
Operation 15 on Machine 6 duration 3 mins.
Operation 16 on Machine 17 duration 95 mins.
Operation 17 on Machine 3 duration 67 mins.
Operation 18 on Machine 8 duration 45 mins.
Operation 19 on Machine 11 duration 41 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 14 duration 42 mins.
Operation 1 on Machine 15 duration 68 mins.
Operation 2 on Machine 8 duration 68 mins.
Operation 3 on Machine 18 duration 19 mins.
Operation 4 on Machine 4 duration 72 mins.
Operation 5 on Machine 11 duration 17 mins.
Operation 6 on Machine 10 duration 33 mins.
Operation 7 on Machine 2 duration 73 mins.
Operation 8 on Machine 0 duration 85 mins.
Operation 9 on Machine 9 duration 97 mins.
Operation 10 on Machine 3 duration 92 mins.
Operation 11 on Machine 13 duration 27 mins.
Operation 12 on Machine 17 duration 98 mins.
Operation 13 on Machine 19 duration 72 mins.
Operation 14 on Machine 6 duration 62 mins.
Operation 15 on Machine 5 duration 24 mins.
Operation 16 on Machine 7 duration 94 mins.
Operation 17 on Machine 1 duration 69 mins.
Operation 18 on Machine 12 duration 90 mins.
Operation 19 on Machine 16 duration 44 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 9 duration 16 mins.
Operation 1 on Machine 15 duration 41 mins.
Operation 2 on Machine 11 duration 61 mins.
Operation 3 on Machine 1 duration 15 mins.
Operation 4 on Machine 5 duration 92 mins.
Operation 5 on Machine 14 duration 87 mins.
Operation 6 on Machine 19 duration 83 mins.
Operation 7 on Machine 10 duration 63 mins.
Operation 8 on Machine 0 duration 8 mins.
Operation 9 on Machine 8 duration 62 mins.
Operation 10 on Machine 7 duration 51 mins.
Operation 11 on Machine 16 duration 17 mins.
Operation 12 on Machine 13 duration 25 mins.
Operation 13 on Machine 4 duration 4 mins.
Operation 14 on Machine 12 duration 73 mins.
Operation 15 on Machine 18 duration 10 mins.
Operation 16 on Machine 3 duration 5 mins.
Operation 17 on Machine 2 duration 74 mins.
Operation 18 on Machine 17 duration 53 mins.
Operation 19 on Machine 6 duration 66 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 18 duration 18 mins.
Operation 1 on Machine 5 duration 80 mins.
Operation 2 on Machine 11 duration 39 mins.
Operation 3 on Machine 8 duration 14 mins.
Operation 4 on Machine 16 duration 72 mins.
Operation 5 on Machine 6 duration 40 mins.
Operation 6 on Machine 2 duration 74 mins.
Operation 7 on Machine 0 duration 28 mins.
Operation 8 on Machine 1 duration 73 mins.
Operation 9 on Machine 19 duration 72 mins.
Operation 10 on Machine 4 duration 68 mins.
Operation 11 on Machine 13 duration 79 mins.
Operation 12 on Machine 10 duration 88 mins.
Operation 13 on Machine 7 duration 87 mins.
Operation 14 on Machine 15 duration 37 mins.
Operation 15 on Machine 14 duration 61 mins.
Operation 16 on Machine 3 duration 86 mins.
Operation 17 on Machine 12 duration 15 mins.
Operation 18 on Machine 17 duration 59 mins.
Operation 19 on Machine 9 duration 74 mins.
| Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 36 mins.
Job 9 Operation 0 duration 3 mins.
Job 12 Operation 0 duration 66 mins.
Job 7 Operation 1 duration 94 mins.
Job 15 Operation 2 duration 18 mins.
Job 11 Operation 3 duration 84 mins.
Job 19 Operation 7 duration 28 mins.
Job 17 Operation 8 duration 85 mins.
Job 18 Operation 8 duration 8 mins.
Job 13 Operation 10 duration 90 mins.
Job 4 Operation 11 duration 38 mins.
Job 16 Operation 12 duration 72 mins.
Job 6 Operation 13 duration 10 mins.
Job 14 Operation 14 duration 69 mins.
Job 3 Operation 15 duration 45 mins.
Job 2 Operation 16 duration 54 mins.
Job 5 Operation 16 duration 70 mins.
Job 0 Operation 18 duration 80 mins.
Job 8 Operation 19 duration 39 mins.
Job 10 Operation 19 duration 53 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 2 duration 76 mins.
Job 10 Operation 2 duration 23 mins.
Job 18 Operation 3 duration 15 mins.
Job 13 Operation 4 duration 10 mins.
Job 4 Operation 7 duration 26 mins.
Job 8 Operation 7 duration 42 mins.
Job 0 Operation 8 duration 87 mins.
Job 19 Operation 8 duration 73 mins.
Job 1 Operation 9 duration 67 mins.
Job 5 Operation 9 duration 87 mins.
Job 7 Operation 9 duration 72 mins.
Job 12 Operation 9 duration 91 mins.
Job 14 Operation 9 duration 35 mins.
Job 16 Operation 9 duration 97 mins.
Job 15 Operation 12 duration 62 mins.
Job 9 Operation 14 duration 62 mins.
Job 11 Operation 15 duration 81 mins.
Job 17 Operation 17 duration 69 mins.
Job 3 Operation 18 duration 42 mins.
Job 6 Operation 18 duration 57 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 15 mins.
Job 13 Operation 1 duration 53 mins.
Job 8 Operation 3 duration 65 mins.
Job 14 Operation 3 duration 9 mins.
Job 10 Operation 4 duration 52 mins.
Job 16 Operation 6 duration 97 mins.
Job 19 Operation 6 duration 74 mins.
Job 0 Operation 7 duration 90 mins.
Job 17 Operation 7 duration 73 mins.
Job 11 Operation 8 duration 90 mins.
Job 9 Operation 10 duration 98 mins.
Job 6 Operation 11 duration 73 mins.
Job 2 Operation 12 duration 52 mins.
Job 12 Operation 12 duration 2 mins.
Job 7 Operation 13 duration 73 mins.
Job 5 Operation 14 duration 74 mins.
Job 15 Operation 14 duration 12 mins.
Job 1 Operation 17 duration 55 mins.
Job 4 Operation 17 duration 80 mins.
Job 18 Operation 17 duration 74 mins.
Machine 3 is used for the following Operations:
Job 12 Operation 2 duration 32 mins.
Job 13 Operation 2 duration 83 mins.
Job 15 Operation 4 duration 2 mins.
Job 7 Operation 5 duration 16 mins.
Job 14 Operation 5 duration 92 mins.
Job 1 Operation 7 duration 35 mins.
Job 3 Operation 7 duration 20 mins.
Job 2 Operation 8 duration 12 mins.
Job 5 Operation 8 duration 41 mins.
Job 9 Operation 8 duration 76 mins.
Job 11 Operation 9 duration 23 mins.
Job 0 Operation 10 duration 4 mins.
Job 17 Operation 10 duration 92 mins.
Job 8 Operation 11 duration 32 mins.
Job 4 Operation 16 duration 71 mins.
Job 6 Operation 16 duration 46 mins.
Job 10 Operation 16 duration 26 mins.
Job 18 Operation 16 duration 5 mins.
Job 19 Operation 16 duration 86 mins.
Job 16 Operation 17 duration 67 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 29 mins.
Job 16 Operation 2 duration 28 mins.
Job 9 Operation 4 duration 58 mins.
Job 11 Operation 4 duration 26 mins.
Job 17 Operation 4 duration 72 mins.
Job 15 Operation 5 duration 61 mins.
Job 12 Operation 6 duration 22 mins.
Job 4 Operation 8 duration 60 mins.
Job 19 Operation 10 duration 68 mins.
Job 10 Operation 11 duration 48 mins.
Job 3 Operation 12 duration 64 mins.
Job 7 Operation 12 duration 18 mins.
Job 0 Operation 13 duration 47 mins.
Job 18 Operation 13 duration 4 mins.
Job 14 Operation 15 duration 88 mins.
Job 13 Operation 16 duration 27 mins.
Job 6 Operation 17 duration 41 mins.
Job 8 Operation 17 duration 4 mins.
Job 5 Operation 18 duration 28 mins.
Job 1 Operation 19 duration 88 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 88 mins.
Job 16 Operation 1 duration 75 mins.
Job 19 Operation 1 duration 80 mins.
Job 3 Operation 2 duration 86 mins.
Job 5 Operation 3 duration 14 mins.
Job 15 Operation 3 duration 53 mins.
Job 18 Operation 4 duration 92 mins.
Job 1 Operation 5 duration 87 mins.
Job 8 Operation 5 duration 88 mins.
Job 6 Operation 6 duration 5 mins.
Job 13 Operation 6 duration 51 mins.
Job 11 Operation 7 duration 78 mins.
Job 4 Operation 9 duration 91 mins.
Job 2 Operation 10 duration 88 mins.
Job 14 Operation 10 duration 53 mins.
Job 9 Operation 11 duration 86 mins.
Job 12 Operation 14 duration 41 mins.
Job 10 Operation 15 duration 92 mins.
Job 17 Operation 15 duration 24 mins.
Job 7 Operation 19 duration 69 mins.
Machine 6 is used for the following Operations:
Job 9 Operation 1 duration 88 mins.
Job 0 Operation 2 duration 65 mins.
Job 8 Operation 2 duration 32 mins.
Job 14 Operation 2 duration 1 mins.
Job 5 Operation 4 duration 95 mins.
Job 3 Operation 5 duration 30 mins.
Job 19 Operation 5 duration 40 mins.
Job 7 Operation 6 duration 74 mins.
Job 4 Operation 10 duration 24 mins.
Job 13 Operation 13 duration 88 mins.
Job 1 Operation 14 duration 5 mins.
Job 6 Operation 14 duration 23 mins.
Job 17 Operation 14 duration 62 mins.
Job 2 Operation 15 duration 41 mins.
Job 16 Operation 15 duration 3 mins.
Job 11 Operation 16 duration 30 mins.
Job 10 Operation 17 duration 83 mins.
Job 12 Operation 17 duration 73 mins.
Job 15 Operation 19 duration 38 mins.
Job 18 Operation 19 duration 66 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 1 duration 78 mins.
Job 5 Operation 2 duration 89 mins.
Job 6 Operation 2 duration 95 mins.
Job 12 Operation 3 duration 86 mins.
Job 4 Operation 4 duration 24 mins.
Job 10 Operation 5 duration 60 mins.
Job 16 Operation 8 duration 81 mins.
Job 18 Operation 10 duration 51 mins.
Job 15 Operation 11 duration 26 mins.
Job 9 Operation 12 duration 1 mins.
Job 19 Operation 13 duration 87 mins.
Job 0 Operation 14 duration 86 mins.
Job 8 Operation 15 duration 88 mins.
Job 7 Operation 16 duration 78 mins.
Job 14 Operation 16 duration 27 mins.
Job 17 Operation 16 duration 94 mins.
Job 11 Operation 17 duration 21 mins.
Job 2 Operation 18 duration 19 mins.
Job 3 Operation 19 duration 28 mins.
Job 13 Operation 19 duration 67 mins.
Machine 8 is used for the following Operations:
Job 3 Operation 0 duration 71 mins.
Job 13 Operation 0 duration 45 mins.
Job 17 Operation 2 duration 68 mins.
Job 7 Operation 3 duration 30 mins.
Job 19 Operation 3 duration 14 mins.
Job 6 Operation 9 duration 22 mins.
Job 9 Operation 9 duration 16 mins.
Job 18 Operation 9 duration 62 mins.
Job 15 Operation 10 duration 95 mins.
Job 0 Operation 12 duration 57 mins.
Job 8 Operation 12 duration 65 mins.
Job 10 Operation 12 duration 68 mins.
Job 11 Operation 12 duration 89 mins.
Job 4 Operation 13 duration 80 mins.
Job 1 Operation 15 duration 3 mins.
Job 5 Operation 15 duration 40 mins.
Job 12 Operation 16 duration 57 mins.
Job 2 Operation 17 duration 61 mins.
Job 16 Operation 18 duration 45 mins.
Job 14 Operation 19 duration 2 mins.
Machine 9 is used for the following Operations:
Job 14 Operation 0 duration 80 mins.
Job 18 Operation 0 duration 16 mins.
Job 11 Operation 1 duration 52 mins.
Job 13 Operation 7 duration 22 mins.
Job 6 Operation 8 duration 67 mins.
Job 15 Operation 8 duration 65 mins.
Job 17 Operation 9 duration 97 mins.
Job 5 Operation 10 duration 96 mins.
Job 12 Operation 10 duration 46 mins.
Job 16 Operation 10 duration 70 mins.
Job 0 Operation 11 duration 15 mins.
Job 7 Operation 11 duration 51 mins.
Job 1 Operation 12 duration 47 mins.
Job 2 Operation 13 duration 64 mins.
Job 3 Operation 14 duration 91 mins.
Job 10 Operation 14 duration 49 mins.
Job 4 Operation 15 duration 12 mins.
Job 9 Operation 15 duration 69 mins.
Job 8 Operation 18 duration 17 mins.
Job 19 Operation 19 duration 74 mins.
Machine 10 is used for the following Operations:
Job 7 Operation 0 duration 92 mins.
Job 8 Operation 0 duration 87 mins.
Job 4 Operation 3 duration 77 mins.
Job 2 Operation 4 duration 86 mins.
Job 3 Operation 4 duration 47 mins.
Job 0 Operation 5 duration 95 mins.
Job 13 Operation 5 duration 30 mins.
Job 10 Operation 6 duration 2 mins.
Job 17 Operation 6 duration 33 mins.
Job 5 Operation 7 duration 42 mins.
Job 12 Operation 7 duration 14 mins.
Job 18 Operation 7 duration 63 mins.
Job 1 Operation 8 duration 66 mins.
Job 15 Operation 9 duration 48 mins.
Job 6 Operation 10 duration 5 mins.
Job 11 Operation 10 duration 86 mins.
Job 19 Operation 12 duration 88 mins.
Job 16 Operation 14 duration 2 mins.
Job 9 Operation 17 duration 90 mins.
Job 14 Operation 18 duration 5 mins.
Machine 11 is used for the following Operations:
Job 4 Operation 0 duration 34 mins.
Job 6 Operation 1 duration 79 mins.
Job 8 Operation 1 duration 82 mins.
Job 12 Operation 1 duration 50 mins.
Job 7 Operation 2 duration 90 mins.
Job 18 Operation 2 duration 61 mins.
Job 19 Operation 2 duration 39 mins.
Job 0 Operation 3 duration 82 mins.
Job 2 Operation 3 duration 66 mins.
Job 3 Operation 3 duration 74 mins.
Job 1 Operation 4 duration 15 mins.
Job 17 Operation 5 duration 17 mins.
Job 9 Operation 6 duration 66 mins.
Job 14 Operation 7 duration 46 mins.
Job 10 Operation 10 duration 80 mins.
Job 11 Operation 11 duration 13 mins.
Job 15 Operation 16 duration 52 mins.
Job 5 Operation 17 duration 49 mins.
Job 13 Operation 17 duration 84 mins.
Job 16 Operation 19 duration 41 mins.
Machine 12 is used for the following Operations:
Job 4 Operation 1 duration 81 mins.
Job 15 Operation 1 duration 81 mins.
Job 11 Operation 2 duration 67 mins.
Job 1 Operation 3 duration 83 mins.
Job 9 Operation 3 duration 73 mins.
Job 2 Operation 7 duration 82 mins.
Job 16 Operation 7 duration 88 mins.
Job 10 Operation 9 duration 89 mins.
Job 3 Operation 11 duration 25 mins.
Job 13 Operation 12 duration 87 mins.
Job 5 Operation 13 duration 95 mins.
Job 8 Operation 13 duration 13 mins.
Job 14 Operation 13 duration 1 mins.
Job 18 Operation 14 duration 73 mins.
Job 6 Operation 15 duration 76 mins.
Job 12 Operation 15 duration 15 mins.
Job 19 Operation 17 duration 15 mins.
Job 7 Operation 18 duration 85 mins.
Job 17 Operation 18 duration 90 mins.
Job 0 Operation 19 duration 7 mins.
Machine 13 is used for the following Operations:
Job 10 Operation 1 duration 43 mins.
Job 14 Operation 1 duration 66 mins.
Job 4 Operation 2 duration 5 mins.
Job 12 Operation 5 duration 32 mins.
Job 2 Operation 6 duration 52 mins.
Job 11 Operation 6 duration 94 mins.
Job 8 Operation 8 duration 32 mins.
Job 13 Operation 11 duration 46 mins.
Job 17 Operation 11 duration 27 mins.
Job 19 Operation 11 duration 79 mins.
Job 18 Operation 12 duration 25 mins.
Job 1 Operation 13 duration 3 mins.
Job 16 Operation 13 duration 16 mins.
Job 15 Operation 15 duration 63 mins.
Job 0 Operation 16 duration 17 mins.
Job 3 Operation 16 duration 2 mins.
Job 9 Operation 16 duration 72 mins.
Job 7 Operation 17 duration 18 mins.
Job 5 Operation 19 duration 17 mins.
Job 6 Operation 19 duration 97 mins.
Machine 14 is used for the following Operations:
Job 16 Operation 0 duration 78 mins.
Job 17 Operation 0 duration 42 mins.
Job 13 Operation 3 duration 19 mins.
Job 7 Operation 4 duration 30 mins.
Job 12 Operation 4 duration 90 mins.
Job 9 Operation 5 duration 64 mins.
Job 11 Operation 5 duration 73 mins.
Job 18 Operation 5 duration 87 mins.
Job 1 Operation 6 duration 43 mins.
Job 4 Operation 6 duration 87 mins.
Job 5 Operation 6 duration 85 mins.
Job 10 Operation 7 duration 49 mins.
Job 0 Operation 9 duration 93 mins.
Job 8 Operation 10 duration 5 mins.
Job 14 Operation 11 duration 11 mins.
Job 6 Operation 12 duration 36 mins.
Job 3 Operation 13 duration 14 mins.
Job 19 Operation 15 duration 61 mins.
Job 15 Operation 17 duration 75 mins.
Job 2 Operation 19 duration 94 mins.
Machine 15 is used for the following Operations:
Job 6 Operation 0 duration 17 mins.
Job 10 Operation 0 duration 60 mins.
Job 15 Operation 0 duration 49 mins.
Job 17 Operation 1 duration 68 mins.
Job 18 Operation 1 duration 41 mins.
Job 8 Operation 4 duration 97 mins.
Job 16 Operation 4 duration 47 mins.
Job 2 Operation 5 duration 93 mins.
Job 3 Operation 8 duration 42 mins.
Job 7 Operation 8 duration 4 mins.
Job 14 Operation 8 duration 8 mins.
Job 13 Operation 9 duration 45 mins.
Job 5 Operation 11 duration 18 mins.
Job 9 Operation 13 duration 79 mins.
Job 12 Operation 13 duration 27 mins.
Job 11 Operation 14 duration 35 mins.
Job 19 Operation 14 duration 37 mins.
Job 0 Operation 15 duration 7 mins.
Job 1 Operation 18 duration 86 mins.
Job 4 Operation 18 duration 44 mins.
Machine 16 is used for the following Operations:
Job 2 Operation 0 duration 21 mins.
Job 19 Operation 4 duration 72 mins.
Job 5 Operation 5 duration 5 mins.
Job 6 Operation 5 duration 14 mins.
Job 0 Operation 6 duration 47 mins.
Job 9 Operation 7 duration 41 mins.
Job 15 Operation 7 duration 85 mins.
Job 10 Operation 8 duration 53 mins.
Job 12 Operation 8 duration 47 mins.
Job 3 Operation 9 duration 48 mins.
Job 8 Operation 9 duration 88 mins.
Job 1 Operation 11 duration 23 mins.
Job 16 Operation 11 duration 96 mins.
Job 18 Operation 11 duration 17 mins.
Job 4 Operation 12 duration 7 mins.
Job 14 Operation 12 duration 87 mins.
Job 7 Operation 14 duration 75 mins.
Job 13 Operation 18 duration 80 mins.
Job 11 Operation 19 duration 62 mins.
Job 17 Operation 19 duration 44 mins.
Machine 17 is used for the following Operations:
Job 5 Operation 0 duration 73 mins.
Job 9 Operation 2 duration 3 mins.
Job 10 Operation 3 duration 77 mins.
Job 0 Operation 4 duration 95 mins.
Job 14 Operation 4 duration 93 mins.
Job 8 Operation 6 duration 21 mins.
Job 6 Operation 7 duration 57 mins.
Job 7 Operation 7 duration 92 mins.
Job 1 Operation 10 duration 69 mins.
Job 2 Operation 11 duration 2 mins.
Job 17 Operation 12 duration 98 mins.
Job 11 Operation 13 duration 2 mins.
Job 15 Operation 13 duration 49 mins.
Job 4 Operation 14 duration 57 mins.
Job 13 Operation 15 duration 4 mins.
Job 16 Operation 16 duration 95 mins.
Job 3 Operation 17 duration 19 mins.
Job 18 Operation 18 duration 53 mins.
Job 19 Operation 18 duration 59 mins.
Job 12 Operation 19 duration 94 mins.
Machine 18 is used for the following Operations:
Job 11 Operation 0 duration 19 mins.
Job 19 Operation 0 duration 18 mins.
Job 0 Operation 1 duration 10 mins.
Job 5 Operation 1 duration 50 mins.
Job 17 Operation 3 duration 19 mins.
Job 6 Operation 4 duration 52 mins.
Job 4 Operation 5 duration 55 mins.
Job 16 Operation 5 duration 41 mins.
Job 14 Operation 6 duration 76 mins.
Job 3 Operation 10 duration 76 mins.
Job 2 Operation 14 duration 75 mins.
Job 13 Operation 14 duration 40 mins.
Job 7 Operation 15 duration 3 mins.
Job 18 Operation 15 duration 10 mins.
Job 1 Operation 16 duration 65 mins.
Job 8 Operation 16 duration 93 mins.
Job 10 Operation 18 duration 42 mins.
Job 12 Operation 18 duration 75 mins.
Job 15 Operation 18 duration 51 mins.
Job 9 Operation 19 duration 62 mins.
Machine 19 is used for the following Operations:
Job 1 Operation 2 duration 63 mins.
Job 6 Operation 3 duration 44 mins.
Job 16 Operation 3 duration 20 mins.
Job 3 Operation 6 duration 70 mins.
Job 15 Operation 6 duration 15 mins.
Job 18 Operation 6 duration 83 mins.
Job 13 Operation 8 duration 7 mins.
Job 2 Operation 9 duration 38 mins.
Job 19 Operation 9 duration 72 mins.
Job 7 Operation 10 duration 98 mins.
Job 12 Operation 11 duration 68 mins.
Job 5 Operation 12 duration 21 mins.
Job 10 Operation 13 duration 54 mins.
Job 17 Operation 13 duration 72 mins.
Job 8 Operation 14 duration 48 mins.
Job 0 Operation 17 duration 10 mins.
Job 14 Operation 17 duration 83 mins.
Job 9 Operation 18 duration 96 mins.
Job 11 Operation 18 duration 28 mins.
Job 4 Operation 19 duration 80 mins.
| Solution:
Job 9 Operation 0 on Machine 0 : 0 + 3 -> 3
Job 13 Operation 0 on Machine 8 : 0 + 45 -> 45
Job 14 Operation 0 on Machine 9 : 0 + 80 -> 80
Job 7 Operation 0 on Machine 10 : 0 + 92 -> 92
Job 16 Operation 0 on Machine 14 : 0 + 78 -> 78
Job 6 Operation 0 on Machine 15 : 0 + 17 -> 17
Job 2 Operation 0 on Machine 16 : 0 + 21 -> 21
Job 5 Operation 0 on Machine 17 : 0 + 73 -> 73
Job 19 Operation 0 on Machine 18 : 0 + 18 -> 18
Job 12 Operation 0 on Machine 0 : 3 + 66 -> 69
Job 9 Operation 1 on Machine 6 : 3 + 88 -> 91
Job 6 Operation 1 on Machine 11 : 17 + 79 -> 96
Job 15 Operation 0 on Machine 15 : 17 + 49 -> 66
Job 19 Operation 1 on Machine 5 : 18 + 80 -> 98
Job 11 Operation 0 on Machine 18 : 18 + 19 -> 37
Job 2 Operation 1 on Machine 4 : 21 + 29 -> 50
Job 13 Operation 1 on Machine 2 : 45 + 53 -> 98
Job 3 Operation 0 on Machine 8 : 45 + 71 -> 116
Job 2 Operation 2 on Machine 1 : 50 + 76 -> 126
Job 15 Operation 1 on Machine 12 : 66 + 81 -> 147
Job 10 Operation 0 on Machine 15 : 66 + 60 -> 126
Job 5 Operation 1 on Machine 18 : 73 + 50 -> 123
Job 17 Operation 0 on Machine 14 : 78 + 42 -> 120
Job 18 Operation 0 on Machine 9 : 80 + 16 -> 96
Job 9 Operation 2 on Machine 17 : 91 + 3 -> 94
Job 7 Operation 1 on Machine 0 : 92 + 94 -> 186
Job 8 Operation 0 on Machine 10 : 92 + 87 -> 179
Job 6 Operation 2 on Machine 7 : 96 + 95 -> 191
Job 11 Operation 1 on Machine 9 : 96 + 52 -> 148
Job 12 Operation 1 on Machine 11 : 96 + 50 -> 146
Job 13 Operation 2 on Machine 3 : 98 + 83 -> 181
Job 16 Operation 1 on Machine 5 : 98 + 75 -> 173
Job 3 Operation 1 on Machine 2 : 116 + 15 -> 131
Job 10 Operation 1 on Machine 13 : 126 + 43 -> 169
Job 17 Operation 1 on Machine 15 : 126 + 68 -> 194
Job 19 Operation 2 on Machine 11 : 146 + 39 -> 185
Job 9 Operation 3 on Machine 12 : 147 + 73 -> 220
Job 10 Operation 2 on Machine 1 : 169 + 23 -> 192
Job 14 Operation 1 on Machine 13 : 169 + 66 -> 235
Job 16 Operation 2 on Machine 4 : 173 + 28 -> 201
Job 12 Operation 2 on Machine 3 : 181 + 32 -> 213
Job 13 Operation 3 on Machine 14 : 181 + 19 -> 200
Job 19 Operation 3 on Machine 8 : 185 + 14 -> 199
Job 15 Operation 2 on Machine 0 : 186 + 18 -> 204
Job 7 Operation 2 on Machine 11 : 186 + 90 -> 276
Job 6 Operation 3 on Machine 19 : 191 + 44 -> 235
Job 10 Operation 3 on Machine 17 : 192 + 77 -> 269
Job 18 Operation 1 on Machine 15 : 194 + 41 -> 235
Job 17 Operation 2 on Machine 8 : 199 + 68 -> 267
Job 19 Operation 4 on Machine 16 : 199 + 72 -> 271
Job 13 Operation 4 on Machine 1 : 200 + 10 -> 210
Job 1 Operation 0 on Machine 0 : 204 + 36 -> 240
Job 15 Operation 3 on Machine 5 : 204 + 53 -> 257
Job 13 Operation 5 on Machine 10 : 210 + 30 -> 240
Job 12 Operation 3 on Machine 7 : 213 + 86 -> 299
Job 9 Operation 4 on Machine 4 : 220 + 58 -> 278
Job 11 Operation 2 on Machine 12 : 220 + 67 -> 287
Job 14 Operation 2 on Machine 6 : 235 + 1 -> 236
Job 6 Operation 4 on Machine 18 : 235 + 52 -> 287
Job 16 Operation 3 on Machine 19 : 235 + 20 -> 255
Job 14 Operation 3 on Machine 2 : 236 + 9 -> 245
Job 16 Operation 4 on Machine 15 : 255 + 47 -> 302
Job 15 Operation 4 on Machine 3 : 257 + 2 -> 259
Job 10 Operation 4 on Machine 2 : 269 + 52 -> 321
Job 19 Operation 5 on Machine 6 : 271 + 40 -> 311
Job 7 Operation 3 on Machine 8 : 276 + 30 -> 306
Job 2 Operation 3 on Machine 11 : 276 + 66 -> 342
Job 15 Operation 5 on Machine 4 : 278 + 61 -> 339
Job 11 Operation 3 on Machine 0 : 287 + 84 -> 371
Job 6 Operation 5 on Machine 16 : 287 + 14 -> 301
Job 6 Operation 6 on Machine 5 : 301 + 5 -> 306
Job 16 Operation 5 on Machine 18 : 302 + 41 -> 343
Job 13 Operation 6 on Machine 5 : 306 + 51 -> 357
Job 7 Operation 4 on Machine 14 : 306 + 30 -> 336
Job 6 Operation 7 on Machine 17 : 306 + 57 -> 363
Job 10 Operation 5 on Machine 7 : 321 + 60 -> 381
Job 7 Operation 5 on Machine 3 : 336 + 16 -> 352
Job 12 Operation 4 on Machine 14 : 336 + 90 -> 426
Job 15 Operation 6 on Machine 19 : 339 + 15 -> 354
Job 2 Operation 4 on Machine 10 : 342 + 86 -> 428
Job 8 Operation 1 on Machine 11 : 342 + 82 -> 424
Job 16 Operation 6 on Machine 2 : 343 + 97 -> 440
Job 17 Operation 3 on Machine 18 : 343 + 19 -> 362
Job 7 Operation 6 on Machine 6 : 352 + 74 -> 426
Job 15 Operation 7 on Machine 16 : 354 + 85 -> 439
Job 0 Operation 0 on Machine 5 : 357 + 88 -> 445
Job 6 Operation 8 on Machine 9 : 363 + 67 -> 430
Job 11 Operation 4 on Machine 4 : 371 + 26 -> 397
Job 5 Operation 2 on Machine 7 : 381 + 89 -> 470
Job 17 Operation 4 on Machine 4 : 397 + 72 -> 469
Job 18 Operation 2 on Machine 11 : 424 + 61 -> 485
Job 8 Operation 2 on Machine 6 : 426 + 32 -> 458
Job 12 Operation 5 on Machine 13 : 426 + 32 -> 458
Job 11 Operation 5 on Machine 14 : 426 + 73 -> 499
Job 7 Operation 7 on Machine 17 : 426 + 92 -> 518
Job 10 Operation 6 on Machine 10 : 428 + 2 -> 430
Job 6 Operation 9 on Machine 8 : 430 + 22 -> 452
Job 13 Operation 7 on Machine 9 : 430 + 22 -> 452
Job 16 Operation 7 on Machine 12 : 440 + 88 -> 528
Job 0 Operation 1 on Machine 18 : 445 + 10 -> 455
Job 15 Operation 8 on Machine 9 : 452 + 65 -> 517
Job 6 Operation 10 on Machine 10 : 452 + 5 -> 457
Job 13 Operation 8 on Machine 19 : 452 + 7 -> 459
Job 6 Operation 11 on Machine 2 : 457 + 73 -> 530
Job 0 Operation 2 on Machine 6 : 458 + 65 -> 523
Job 13 Operation 9 on Machine 15 : 459 + 45 -> 504
Job 12 Operation 6 on Machine 4 : 469 + 22 -> 491
Job 5 Operation 3 on Machine 5 : 470 + 14 -> 484
Job 3 Operation 2 on Machine 5 : 484 + 86 -> 570
Job 18 Operation 3 on Machine 1 : 485 + 15 -> 500
Job 4 Operation 0 on Machine 11 : 485 + 34 -> 519
Job 12 Operation 7 on Machine 10 : 491 + 14 -> 505
Job 11 Operation 6 on Machine 13 : 499 + 94 -> 593
Job 10 Operation 7 on Machine 14 : 499 + 49 -> 548
Job 13 Operation 10 on Machine 0 : 504 + 90 -> 594
Job 12 Operation 8 on Machine 16 : 505 + 47 -> 552
Job 15 Operation 9 on Machine 10 : 517 + 48 -> 565
Job 7 Operation 8 on Machine 15 : 518 + 4 -> 522
Job 14 Operation 4 on Machine 17 : 518 + 93 -> 611
Job 17 Operation 5 on Machine 11 : 519 + 17 -> 536
Job 7 Operation 9 on Machine 1 : 522 + 72 -> 594
Job 2 Operation 5 on Machine 15 : 522 + 93 -> 615
Job 5 Operation 4 on Machine 6 : 523 + 95 -> 618
Job 16 Operation 8 on Machine 7 : 528 + 81 -> 609
Job 4 Operation 1 on Machine 12 : 528 + 81 -> 609
Job 8 Operation 3 on Machine 2 : 530 + 65 -> 595
Job 0 Operation 3 on Machine 11 : 536 + 82 -> 618
Job 9 Operation 5 on Machine 14 : 548 + 64 -> 612
Job 10 Operation 8 on Machine 16 : 552 + 53 -> 605
Job 15 Operation 10 on Machine 8 : 565 + 95 -> 660
Job 17 Operation 6 on Machine 10 : 565 + 33 -> 598
Job 18 Operation 4 on Machine 5 : 570 + 92 -> 662
Job 12 Operation 9 on Machine 1 : 594 + 91 -> 685
Job 7 Operation 10 on Machine 19 : 594 + 98 -> 692
Job 19 Operation 6 on Machine 2 : 595 + 74 -> 669
Job 1 Operation 1 on Machine 7 : 609 + 78 -> 687
Job 4 Operation 2 on Machine 13 : 609 + 5 -> 614
Job 14 Operation 5 on Machine 3 : 611 + 92 -> 703
Job 4 Operation 3 on Machine 10 : 614 + 77 -> 691
Job 2 Operation 6 on Machine 13 : 615 + 52 -> 667
Job 8 Operation 4 on Machine 15 : 615 + 97 -> 712
Job 3 Operation 3 on Machine 11 : 618 + 74 -> 692
Job 5 Operation 5 on Machine 16 : 618 + 5 -> 623
Job 0 Operation 4 on Machine 17 : 618 + 95 -> 713
Job 5 Operation 6 on Machine 14 : 623 + 85 -> 708
Job 11 Operation 7 on Machine 5 : 662 + 78 -> 740
Job 2 Operation 7 on Machine 12 : 667 + 82 -> 749
Job 13 Operation 11 on Machine 13 : 667 + 46 -> 713
Job 19 Operation 7 on Machine 0 : 669 + 28 -> 697
Job 17 Operation 7 on Machine 2 : 669 + 73 -> 742
Job 15 Operation 11 on Machine 7 : 687 + 26 -> 713
Job 7 Operation 11 on Machine 9 : 692 + 51 -> 743
Job 3 Operation 4 on Machine 10 : 692 + 47 -> 739
Job 9 Operation 6 on Machine 11 : 692 + 66 -> 758
Job 1 Operation 2 on Machine 19 : 692 + 63 -> 755
Job 14 Operation 6 on Machine 18 : 703 + 76 -> 779
Job 18 Operation 5 on Machine 14 : 708 + 87 -> 795
Job 15 Operation 12 on Machine 1 : 713 + 62 -> 775
Job 4 Operation 4 on Machine 7 : 713 + 24 -> 737
Job 3 Operation 5 on Machine 6 : 739 + 30 -> 769
Job 5 Operation 7 on Machine 10 : 739 + 42 -> 781
Job 17 Operation 8 on Machine 0 : 742 + 85 -> 827
Job 7 Operation 12 on Machine 4 : 743 + 18 -> 761
Job 12 Operation 10 on Machine 9 : 743 + 46 -> 789
Job 2 Operation 8 on Machine 3 : 749 + 12 -> 761
Job 10 Operation 9 on Machine 12 : 749 + 89 -> 838
Job 9 Operation 7 on Machine 16 : 758 + 41 -> 799
Job 7 Operation 13 on Machine 2 : 761 + 73 -> 834
Job 2 Operation 9 on Machine 19 : 761 + 38 -> 799
Job 19 Operation 8 on Machine 1 : 775 + 73 -> 848
Job 15 Operation 13 on Machine 17 : 775 + 49 -> 824
Job 14 Operation 7 on Machine 11 : 779 + 46 -> 825
Job 4 Operation 5 on Machine 18 : 779 + 55 -> 834
Job 5 Operation 8 on Machine 3 : 781 + 41 -> 822
Job 0 Operation 5 on Machine 10 : 781 + 95 -> 876
Job 6 Operation 12 on Machine 14 : 795 + 36 -> 831
Job 2 Operation 10 on Machine 5 : 799 + 88 -> 887
Job 18 Operation 6 on Machine 19 : 799 + 83 -> 882
Job 9 Operation 8 on Machine 3 : 822 + 76 -> 898
Job 14 Operation 8 on Machine 15 : 825 + 8 -> 833
Job 17 Operation 9 on Machine 9 : 827 + 97 -> 924
Job 6 Operation 13 on Machine 0 : 831 + 10 -> 841
Job 15 Operation 14 on Machine 2 : 834 + 12 -> 846
Job 4 Operation 6 on Machine 14 : 834 + 87 -> 921
Job 7 Operation 14 on Machine 16 : 834 + 75 -> 909
Job 10 Operation 10 on Machine 11 : 838 + 80 -> 918
Job 1 Operation 3 on Machine 12 : 838 + 83 -> 921
Job 6 Operation 14 on Machine 6 : 841 + 23 -> 864
Job 15 Operation 15 on Machine 13 : 846 + 63 -> 909
Job 14 Operation 9 on Machine 1 : 848 + 35 -> 883
Job 18 Operation 7 on Machine 10 : 882 + 63 -> 945
Job 19 Operation 9 on Machine 19 : 882 + 72 -> 954
Job 5 Operation 9 on Machine 1 : 883 + 87 -> 970
Job 8 Operation 5 on Machine 5 : 887 + 88 -> 975
Job 2 Operation 11 on Machine 17 : 887 + 2 -> 889
Job 2 Operation 12 on Machine 2 : 889 + 52 -> 941
Job 9 Operation 9 on Machine 8 : 898 + 16 -> 914
Job 0 Operation 6 on Machine 16 : 909 + 47 -> 956
Job 7 Operation 15 on Machine 18 : 909 + 3 -> 912
Job 7 Operation 16 on Machine 7 : 912 + 78 -> 990
Job 10 Operation 11 on Machine 4 : 918 + 48 -> 966
Job 1 Operation 4 on Machine 11 : 921 + 15 -> 936
Job 13 Operation 12 on Machine 12 : 921 + 87 -> 1008
Job 17 Operation 10 on Machine 3 : 924 + 92 -> 1016
Job 15 Operation 16 on Machine 11 : 936 + 52 -> 988
Job 11 Operation 8 on Machine 2 : 941 + 90 -> 1031
Job 2 Operation 13 on Machine 9 : 941 + 64 -> 1005
Job 18 Operation 8 on Machine 0 : 945 + 8 -> 953
Job 18 Operation 9 on Machine 8 : 953 + 62 -> 1015
Job 3 Operation 6 on Machine 19 : 954 + 70 -> 1024
Job 19 Operation 10 on Machine 4 : 966 + 68 -> 1034
Job 4 Operation 7 on Machine 1 : 970 + 26 -> 996
Job 1 Operation 5 on Machine 5 : 975 + 87 -> 1062
Job 8 Operation 6 on Machine 17 : 975 + 21 -> 996
Job 7 Operation 17 on Machine 13 : 990 + 18 -> 1008
Job 8 Operation 7 on Machine 1 : 996 + 42 -> 1038
Job 5 Operation 10 on Machine 9 : 1005 + 96 -> 1101
Job 2 Operation 14 on Machine 18 : 1005 + 75 -> 1080
Job 13 Operation 13 on Machine 6 : 1008 + 88 -> 1096
Job 6 Operation 15 on Machine 12 : 1008 + 76 -> 1084
Job 18 Operation 10 on Machine 7 : 1015 + 51 -> 1066
Job 10 Operation 12 on Machine 8 : 1015 + 68 -> 1083
Job 9 Operation 10 on Machine 2 : 1031 + 98 -> 1129
Job 11 Operation 9 on Machine 3 : 1031 + 23 -> 1054
Job 4 Operation 8 on Machine 4 : 1034 + 60 -> 1094
Job 16 Operation 9 on Machine 1 : 1038 + 97 -> 1135
Job 8 Operation 8 on Machine 13 : 1038 + 32 -> 1070
Job 3 Operation 7 on Machine 3 : 1054 + 20 -> 1074
Job 11 Operation 10 on Machine 10 : 1054 + 86 -> 1140
Job 14 Operation 10 on Machine 5 : 1062 + 53 -> 1115
Job 1 Operation 6 on Machine 14 : 1062 + 43 -> 1105
Job 17 Operation 11 on Machine 13 : 1070 + 27 -> 1097
Job 8 Operation 9 on Machine 16 : 1070 + 88 -> 1158
Job 10 Operation 13 on Machine 19 : 1083 + 54 -> 1137
Job 2 Operation 15 on Machine 6 : 1096 + 41 -> 1137
Job 13 Operation 14 on Machine 18 : 1096 + 40 -> 1136
Job 19 Operation 11 on Machine 13 : 1097 + 79 -> 1176
Job 17 Operation 12 on Machine 17 : 1097 + 98 -> 1195
Job 5 Operation 11 on Machine 15 : 1101 + 18 -> 1119
Job 1 Operation 7 on Machine 3 : 1105 + 35 -> 1140
Job 14 Operation 11 on Machine 14 : 1115 + 11 -> 1126
Job 3 Operation 8 on Machine 15 : 1119 + 42 -> 1161
Job 0 Operation 7 on Machine 2 : 1129 + 90 -> 1219
Job 9 Operation 11 on Machine 5 : 1129 + 86 -> 1215
Job 16 Operation 10 on Machine 9 : 1135 + 70 -> 1205
Job 2 Operation 16 on Machine 0 : 1137 + 54 -> 1191
Job 5 Operation 12 on Machine 19 : 1137 + 21 -> 1158
Job 1 Operation 8 on Machine 10 : 1140 + 66 -> 1206
Job 11 Operation 11 on Machine 11 : 1140 + 13 -> 1153
Job 5 Operation 13 on Machine 12 : 1158 + 95 -> 1253
Job 8 Operation 10 on Machine 14 : 1158 + 5 -> 1163
Job 18 Operation 11 on Machine 16 : 1158 + 17 -> 1175
Job 8 Operation 11 on Machine 3 : 1163 + 32 -> 1195
Job 15 Operation 17 on Machine 14 : 1163 + 75 -> 1238
Job 14 Operation 12 on Machine 16 : 1175 + 87 -> 1262
Job 18 Operation 12 on Machine 13 : 1176 + 25 -> 1201
Job 6 Operation 16 on Machine 3 : 1195 + 46 -> 1241
Job 8 Operation 12 on Machine 8 : 1195 + 65 -> 1260
Job 13 Operation 15 on Machine 17 : 1195 + 4 -> 1199
Job 17 Operation 13 on Machine 19 : 1195 + 72 -> 1267
Job 13 Operation 16 on Machine 4 : 1199 + 27 -> 1226
Job 10 Operation 14 on Machine 9 : 1205 + 49 -> 1254
Job 1 Operation 9 on Machine 1 : 1206 + 67 -> 1273
Job 19 Operation 12 on Machine 10 : 1206 + 88 -> 1294
Job 4 Operation 9 on Machine 5 : 1215 + 91 -> 1306
Job 9 Operation 12 on Machine 7 : 1215 + 1 -> 1216
Job 9 Operation 13 on Machine 15 : 1216 + 79 -> 1295
Job 18 Operation 13 on Machine 4 : 1226 + 4 -> 1230
Job 13 Operation 17 on Machine 11 : 1226 + 84 -> 1310
Job 15 Operation 18 on Machine 18 : 1238 + 51 -> 1289
Job 6 Operation 17 on Machine 4 : 1241 + 41 -> 1282
Job 5 Operation 14 on Machine 2 : 1253 + 74 -> 1327
Job 11 Operation 12 on Machine 8 : 1260 + 89 -> 1349
Job 8 Operation 13 on Machine 12 : 1260 + 13 -> 1273
Job 3 Operation 9 on Machine 16 : 1262 + 48 -> 1310
Job 0 Operation 8 on Machine 1 : 1273 + 87 -> 1360
Job 14 Operation 13 on Machine 12 : 1273 + 1 -> 1274
Job 1 Operation 10 on Machine 17 : 1273 + 69 -> 1342
Job 8 Operation 14 on Machine 19 : 1273 + 48 -> 1321
Job 14 Operation 14 on Machine 0 : 1274 + 69 -> 1343
Job 18 Operation 14 on Machine 12 : 1274 + 73 -> 1347
Job 10 Operation 15 on Machine 5 : 1306 + 92 -> 1398
Job 4 Operation 10 on Machine 6 : 1306 + 24 -> 1330
Job 8 Operation 15 on Machine 7 : 1321 + 88 -> 1409
Job 12 Operation 11 on Machine 19 : 1321 + 68 -> 1389
Job 17 Operation 14 on Machine 6 : 1330 + 62 -> 1392
Job 1 Operation 11 on Machine 16 : 1342 + 23 -> 1365
Job 4 Operation 11 on Machine 0 : 1343 + 38 -> 1381
Job 14 Operation 15 on Machine 4 : 1343 + 88 -> 1431
Job 7 Operation 18 on Machine 12 : 1347 + 85 -> 1432
Job 18 Operation 15 on Machine 18 : 1347 + 10 -> 1357
Job 11 Operation 13 on Machine 17 : 1349 + 2 -> 1351
Job 11 Operation 14 on Machine 15 : 1351 + 35 -> 1386
Job 18 Operation 16 on Machine 3 : 1357 + 5 -> 1362
Job 3 Operation 10 on Machine 18 : 1357 + 76 -> 1433
Job 9 Operation 14 on Machine 1 : 1360 + 62 -> 1422
Job 0 Operation 9 on Machine 14 : 1360 + 93 -> 1453
Job 18 Operation 17 on Machine 2 : 1362 + 74 -> 1436
Job 1 Operation 12 on Machine 9 : 1365 + 47 -> 1412
Job 4 Operation 12 on Machine 16 : 1381 + 7 -> 1388
Job 4 Operation 13 on Machine 8 : 1388 + 80 -> 1468
Job 16 Operation 11 on Machine 16 : 1388 + 96 -> 1484
Job 10 Operation 16 on Machine 3 : 1398 + 26 -> 1424
Job 17 Operation 15 on Machine 5 : 1398 + 24 -> 1422
Job 19 Operation 13 on Machine 7 : 1409 + 87 -> 1496
Job 1 Operation 13 on Machine 13 : 1412 + 3 -> 1415
Job 1 Operation 14 on Machine 6 : 1415 + 5 -> 1420
Job 11 Operation 15 on Machine 1 : 1422 + 81 -> 1503
Job 9 Operation 15 on Machine 9 : 1422 + 69 -> 1491
Job 10 Operation 17 on Machine 6 : 1424 + 83 -> 1507
Job 3 Operation 11 on Machine 12 : 1433 + 25 -> 1458
Job 12 Operation 12 on Machine 2 : 1436 + 2 -> 1438
Job 12 Operation 13 on Machine 15 : 1438 + 27 -> 1465
Job 0 Operation 10 on Machine 3 : 1453 + 4 -> 1457
Job 3 Operation 12 on Machine 4 : 1458 + 64 -> 1522
Job 12 Operation 14 on Machine 5 : 1465 + 41 -> 1506
Job 1 Operation 15 on Machine 8 : 1468 + 3 -> 1471
Job 4 Operation 14 on Machine 17 : 1468 + 57 -> 1525
Job 5 Operation 15 on Machine 8 : 1471 + 40 -> 1511
Job 1 Operation 16 on Machine 18 : 1471 + 65 -> 1536
Job 16 Operation 12 on Machine 0 : 1484 + 72 -> 1556
Job 13 Operation 18 on Machine 16 : 1484 + 80 -> 1564
Job 0 Operation 11 on Machine 9 : 1491 + 15 -> 1506
Job 9 Operation 16 on Machine 13 : 1491 + 72 -> 1563
Job 14 Operation 16 on Machine 7 : 1496 + 27 -> 1523
Job 19 Operation 14 on Machine 15 : 1496 + 37 -> 1533
Job 6 Operation 18 on Machine 1 : 1503 + 57 -> 1560
Job 7 Operation 19 on Machine 5 : 1506 + 69 -> 1575
Job 12 Operation 15 on Machine 12 : 1506 + 15 -> 1521
Job 11 Operation 16 on Machine 6 : 1507 + 30 -> 1537
Job 0 Operation 12 on Machine 8 : 1511 + 57 -> 1568
Job 3 Operation 13 on Machine 14 : 1522 + 14 -> 1536
Job 17 Operation 16 on Machine 7 : 1523 + 94 -> 1617
Job 14 Operation 17 on Machine 19 : 1523 + 83 -> 1606
Job 4 Operation 15 on Machine 9 : 1525 + 12 -> 1537
Job 18 Operation 18 on Machine 17 : 1525 + 53 -> 1578
Job 1 Operation 17 on Machine 2 : 1536 + 55 -> 1591
Job 19 Operation 15 on Machine 14 : 1536 + 61 -> 1597
Job 10 Operation 18 on Machine 18 : 1536 + 42 -> 1578
Job 4 Operation 16 on Machine 3 : 1537 + 71 -> 1608
Job 15 Operation 19 on Machine 6 : 1537 + 38 -> 1575
Job 3 Operation 14 on Machine 9 : 1537 + 91 -> 1628
Job 5 Operation 16 on Machine 0 : 1556 + 70 -> 1626
Job 16 Operation 13 on Machine 13 : 1563 + 16 -> 1579
Job 0 Operation 13 on Machine 4 : 1568 + 47 -> 1615
Job 12 Operation 16 on Machine 8 : 1568 + 57 -> 1625
Job 8 Operation 16 on Machine 18 : 1578 + 93 -> 1671
Job 16 Operation 14 on Machine 10 : 1579 + 2 -> 1581
Job 6 Operation 19 on Machine 13 : 1579 + 97 -> 1676
Job 16 Operation 15 on Machine 6 : 1581 + 3 -> 1584
Job 9 Operation 17 on Machine 10 : 1581 + 90 -> 1671
Job 16 Operation 16 on Machine 17 : 1584 + 95 -> 1679
Job 1 Operation 18 on Machine 15 : 1591 + 86 -> 1677
Job 4 Operation 17 on Machine 2 : 1608 + 80 -> 1688
Job 19 Operation 16 on Machine 3 : 1608 + 86 -> 1694
Job 17 Operation 17 on Machine 1 : 1617 + 69 -> 1686
Job 11 Operation 17 on Machine 7 : 1617 + 21 -> 1638
Job 12 Operation 17 on Machine 6 : 1625 + 73 -> 1698
Job 2 Operation 17 on Machine 8 : 1625 + 61 -> 1686
Job 5 Operation 17 on Machine 11 : 1626 + 49 -> 1675
Job 3 Operation 15 on Machine 0 : 1628 + 45 -> 1673
Job 0 Operation 14 on Machine 7 : 1638 + 86 -> 1724
Job 11 Operation 18 on Machine 19 : 1638 + 28 -> 1666
Job 11 Operation 19 on Machine 16 : 1666 + 62 -> 1728
Job 8 Operation 17 on Machine 4 : 1671 + 4 -> 1675
Job 14 Operation 18 on Machine 10 : 1671 + 5 -> 1676
Job 9 Operation 18 on Machine 19 : 1671 + 96 -> 1767
Job 10 Operation 19 on Machine 0 : 1673 + 53 -> 1726
Job 5 Operation 18 on Machine 4 : 1675 + 28 -> 1703
Job 8 Operation 18 on Machine 9 : 1675 + 17 -> 1692
Job 3 Operation 16 on Machine 13 : 1676 + 2 -> 1678
Job 3 Operation 17 on Machine 17 : 1679 + 19 -> 1698
Job 14 Operation 19 on Machine 8 : 1686 + 2 -> 1688
Job 4 Operation 18 on Machine 15 : 1688 + 44 -> 1732
Job 16 Operation 17 on Machine 3 : 1694 + 67 -> 1761
Job 19 Operation 17 on Machine 12 : 1694 + 15 -> 1709
Job 3 Operation 18 on Machine 1 : 1698 + 42 -> 1740
Job 18 Operation 19 on Machine 6 : 1698 + 66 -> 1764
Job 12 Operation 18 on Machine 18 : 1698 + 75 -> 1773
Job 1 Operation 19 on Machine 4 : 1703 + 88 -> 1791
Job 5 Operation 19 on Machine 13 : 1703 + 17 -> 1720
Job 17 Operation 18 on Machine 12 : 1709 + 90 -> 1799
Job 19 Operation 18 on Machine 17 : 1709 + 59 -> 1768
Job 2 Operation 18 on Machine 7 : 1724 + 19 -> 1743
Job 8 Operation 19 on Machine 0 : 1726 + 39 -> 1765
Job 0 Operation 15 on Machine 15 : 1732 + 7 -> 1739
Job 0 Operation 16 on Machine 13 : 1739 + 17 -> 1756
Job 13 Operation 19 on Machine 7 : 1743 + 67 -> 1810
Job 2 Operation 19 on Machine 14 : 1743 + 94 -> 1837
Job 16 Operation 18 on Machine 8 : 1761 + 45 -> 1806
Job 0 Operation 17 on Machine 19 : 1767 + 10 -> 1777
Job 19 Operation 19 on Machine 9 : 1768 + 74 -> 1842
Job 12 Operation 19 on Machine 17 : 1773 + 94 -> 1867
Job 9 Operation 19 on Machine 18 : 1773 + 62 -> 1835
Job 0 Operation 18 on Machine 0 : 1777 + 80 -> 1857
Job 4 Operation 19 on Machine 19 : 1777 + 80 -> 1857
Job 17 Operation 19 on Machine 16 : 1799 + 44 -> 1843
Job 16 Operation 19 on Machine 11 : 1806 + 41 -> 1847
Job 3 Operation 19 on Machine 7 : 1810 + 28 -> 1838
Job 0 Operation 19 on Machine 12 : 1857 + 7 -> 1864
Makespan: 1867.0, as it is the maximum end completion time of Operation 19 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 79 mins.
Operation 1 on Machine 1 duration 38 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 230 mins.
Operation 1 on Machine 1 duration 31 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 123 mins.
Operation 1 on Machine 1 duration 75 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 51 mins.
Operation 1 on Machine 0 duration 62 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 116 mins.
Operation 1 on Machine 0 duration 79 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 0 duration 71 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 65 mins.
Operation 1 on Machine 0 duration 106 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 79 mins.
Job 1 Operation 0 duration 230 mins.
Job 2 Operation 0 duration 123 mins.
Job 3 Operation 1 duration 62 mins.
Job 4 Operation 1 duration 79 mins.
Job 5 Operation 1 duration 71 mins.
Job 6 Operation 1 duration 106 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 51 mins.
Job 4 Operation 0 duration 116 mins.
Job 5 Operation 0 duration 44 mins.
Job 6 Operation 0 duration 65 mins.
Job 0 Operation 1 duration 38 mins.
Job 1 Operation 1 duration 31 mins.
Job 2 Operation 1 duration 75 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 230 -> 230
Job 5 Operation 0 on Machine 1 : 0 + 44 -> 44
Job 3 Operation 0 on Machine 1 : 44 + 51 -> 95
Job 4 Operation 0 on Machine 1 : 95 + 116 -> 211
Job 0 Operation 0 on Machine 0 : 230 + 79 -> 309
Job 1 Operation 1 on Machine 1 : 230 + 31 -> 261
Job 4 Operation 1 on Machine 0 : 309 + 79 -> 388
Job 0 Operation 1 on Machine 1 : 309 + 38 -> 347
Job 6 Operation 0 on Machine 1 : 347 + 65 -> 412
Job 2 Operation 0 on Machine 0 : 388 + 123 -> 511
Job 3 Operation 1 on Machine 0 : 511 + 62 -> 573
Job 2 Operation 1 on Machine 1 : 511 + 75 -> 586
Job 5 Operation 1 on Machine 0 : 573 + 71 -> 644
Job 6 Operation 1 on Machine 0 : 644 + 106 -> 750
Makespan: 750.0, as it is the maximum end completion time of Operation 1 |
8 | 7 | Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 290 mins.
Operation 1 on Machine 5 duration 359 mins.
Operation 2 on Machine 2 duration 328 mins.
Operation 3 on Machine 0 duration 93 mins.
Operation 4 on Machine 1 duration 81 mins.
Operation 5 on Machine 3 duration 340 mins.
Operation 6 on Machine 4 duration 232 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 203 mins.
Operation 1 on Machine 0 duration 5 mins.
Operation 2 on Machine 4 duration 83 mins.
Operation 3 on Machine 3 duration 122 mins.
Operation 4 on Machine 6 duration 125 mins.
Operation 5 on Machine 1 duration 124 mins.
Operation 6 on Machine 5 duration 172 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 6 duration 333 mins.
Operation 2 on Machine 3 duration 219 mins.
Operation 3 on Machine 1 duration 370 mins.
Operation 4 on Machine 0 duration 167 mins.
Operation 5 on Machine 4 duration 27 mins.
Operation 6 on Machine 5 duration 206 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 126 mins.
Operation 1 on Machine 6 duration 232 mins.
Operation 2 on Machine 3 duration 194 mins.
Operation 3 on Machine 4 duration 122 mins.
Operation 4 on Machine 5 duration 286 mins.
Operation 5 on Machine 2 duration 169 mins.
Operation 6 on Machine 0 duration 64 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 6 mins.
Operation 1 on Machine 1 duration 369 mins.
Operation 2 on Machine 6 duration 155 mins.
Operation 3 on Machine 5 duration 120 mins.
Operation 4 on Machine 2 duration 302 mins.
Operation 5 on Machine 0 duration 317 mins.
Operation 6 on Machine 3 duration 157 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 309 mins.
Operation 1 on Machine 4 duration 133 mins.
Operation 2 on Machine 3 duration 270 mins.
Operation 3 on Machine 0 duration 209 mins.
Operation 4 on Machine 2 duration 358 mins.
Operation 5 on Machine 5 duration 353 mins.
Operation 6 on Machine 1 duration 293 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 251 mins.
Operation 1 on Machine 0 duration 243 mins.
Operation 2 on Machine 2 duration 201 mins.
Operation 3 on Machine 4 duration 179 mins.
Operation 4 on Machine 5 duration 156 mins.
Operation 5 on Machine 3 duration 273 mins.
Operation 6 on Machine 6 duration 271 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 55 mins.
Operation 1 on Machine 6 duration 28 mins.
Operation 2 on Machine 5 duration 37 mins.
Operation 3 on Machine 3 duration 284 mins.
Operation 4 on Machine 0 duration 53 mins.
Operation 5 on Machine 2 duration 220 mins.
Operation 6 on Machine 1 duration 341 mins.
| Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 5 mins.
Job 6 Operation 1 duration 243 mins.
Job 0 Operation 3 duration 93 mins.
Job 5 Operation 3 duration 209 mins.
Job 2 Operation 4 duration 167 mins.
Job 7 Operation 4 duration 53 mins.
Job 4 Operation 5 duration 317 mins.
Job 3 Operation 6 duration 64 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 126 mins.
Job 6 Operation 0 duration 251 mins.
Job 4 Operation 1 duration 369 mins.
Job 2 Operation 3 duration 370 mins.
Job 0 Operation 4 duration 81 mins.
Job 1 Operation 5 duration 124 mins.
Job 5 Operation 6 duration 293 mins.
Job 7 Operation 6 duration 341 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 203 mins.
Job 2 Operation 0 duration 4 mins.
Job 0 Operation 2 duration 328 mins.
Job 6 Operation 2 duration 201 mins.
Job 4 Operation 4 duration 302 mins.
Job 5 Operation 4 duration 358 mins.
Job 3 Operation 5 duration 169 mins.
Job 7 Operation 5 duration 220 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 2 duration 219 mins.
Job 3 Operation 2 duration 194 mins.
Job 5 Operation 2 duration 270 mins.
Job 1 Operation 3 duration 122 mins.
Job 7 Operation 3 duration 284 mins.
Job 0 Operation 5 duration 340 mins.
Job 6 Operation 5 duration 273 mins.
Job 4 Operation 6 duration 157 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 6 mins.
Job 7 Operation 0 duration 55 mins.
Job 5 Operation 1 duration 133 mins.
Job 1 Operation 2 duration 83 mins.
Job 3 Operation 3 duration 122 mins.
Job 6 Operation 3 duration 179 mins.
Job 2 Operation 5 duration 27 mins.
Job 0 Operation 6 duration 232 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 1 duration 359 mins.
Job 7 Operation 2 duration 37 mins.
Job 4 Operation 3 duration 120 mins.
Job 3 Operation 4 duration 286 mins.
Job 6 Operation 4 duration 156 mins.
Job 5 Operation 5 duration 353 mins.
Job 1 Operation 6 duration 172 mins.
Job 2 Operation 6 duration 206 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 290 mins.
Job 5 Operation 0 duration 309 mins.
Job 2 Operation 1 duration 333 mins.
Job 3 Operation 1 duration 232 mins.
Job 7 Operation 1 duration 28 mins.
Job 4 Operation 2 duration 155 mins.
Job 1 Operation 4 duration 125 mins.
Job 6 Operation 6 duration 271 mins.
| Solution:
Job 6 Operation 0 on Machine 1 : 0 + 251 -> 251
Job 1 Operation 0 on Machine 2 : 0 + 203 -> 203
Job 4 Operation 0 on Machine 4 : 0 + 6 -> 6
Job 5 Operation 0 on Machine 6 : 0 + 309 -> 309
Job 7 Operation 0 on Machine 4 : 6 + 55 -> 61
Job 1 Operation 1 on Machine 0 : 203 + 5 -> 208
Job 2 Operation 0 on Machine 2 : 203 + 4 -> 207
Job 1 Operation 2 on Machine 4 : 208 + 83 -> 291
Job 6 Operation 1 on Machine 0 : 251 + 243 -> 494
Job 3 Operation 0 on Machine 1 : 251 + 126 -> 377
Job 5 Operation 1 on Machine 4 : 309 + 133 -> 442
Job 7 Operation 1 on Machine 6 : 309 + 28 -> 337
Job 7 Operation 2 on Machine 5 : 337 + 37 -> 374
Job 0 Operation 0 on Machine 6 : 337 + 290 -> 627
Job 7 Operation 3 on Machine 3 : 374 + 284 -> 658
Job 4 Operation 1 on Machine 1 : 377 + 369 -> 746
Job 6 Operation 2 on Machine 2 : 494 + 201 -> 695
Job 0 Operation 1 on Machine 5 : 627 + 359 -> 986
Job 3 Operation 1 on Machine 6 : 627 + 232 -> 859
Job 7 Operation 4 on Machine 0 : 658 + 53 -> 711
Job 5 Operation 2 on Machine 3 : 658 + 270 -> 928
Job 6 Operation 3 on Machine 4 : 695 + 179 -> 874
Job 7 Operation 5 on Machine 2 : 711 + 220 -> 931
Job 2 Operation 1 on Machine 6 : 859 + 333 -> 1192
Job 5 Operation 3 on Machine 0 : 928 + 209 -> 1137
Job 3 Operation 2 on Machine 3 : 928 + 194 -> 1122
Job 7 Operation 6 on Machine 1 : 931 + 341 -> 1272
Job 0 Operation 2 on Machine 2 : 986 + 328 -> 1314
Job 6 Operation 4 on Machine 5 : 986 + 156 -> 1142
Job 3 Operation 3 on Machine 4 : 1122 + 122 -> 1244
Job 2 Operation 2 on Machine 3 : 1192 + 219 -> 1411
Job 4 Operation 2 on Machine 6 : 1192 + 155 -> 1347
Job 3 Operation 4 on Machine 5 : 1244 + 286 -> 1530
Job 0 Operation 3 on Machine 0 : 1314 + 93 -> 1407
Job 5 Operation 4 on Machine 2 : 1314 + 358 -> 1672
Job 2 Operation 3 on Machine 1 : 1411 + 370 -> 1781
Job 6 Operation 5 on Machine 3 : 1411 + 273 -> 1684
Job 4 Operation 3 on Machine 5 : 1530 + 120 -> 1650
Job 4 Operation 4 on Machine 2 : 1672 + 302 -> 1974
Job 5 Operation 5 on Machine 5 : 1672 + 353 -> 2025
Job 1 Operation 3 on Machine 3 : 1684 + 122 -> 1806
Job 2 Operation 4 on Machine 0 : 1781 + 167 -> 1948
Job 0 Operation 4 on Machine 1 : 1781 + 81 -> 1862
Job 1 Operation 4 on Machine 6 : 1806 + 125 -> 1931
Job 0 Operation 5 on Machine 3 : 1862 + 340 -> 2202
Job 1 Operation 5 on Machine 1 : 1931 + 124 -> 2055
Job 6 Operation 6 on Machine 6 : 1931 + 271 -> 2202
Job 2 Operation 5 on Machine 4 : 1948 + 27 -> 1975
Job 4 Operation 5 on Machine 0 : 1974 + 317 -> 2291
Job 3 Operation 5 on Machine 2 : 1974 + 169 -> 2143
Job 2 Operation 6 on Machine 5 : 2025 + 206 -> 2231
Job 5 Operation 6 on Machine 1 : 2055 + 293 -> 2348
Job 0 Operation 6 on Machine 4 : 2202 + 232 -> 2434
Job 1 Operation 6 on Machine 5 : 2231 + 172 -> 2403
Job 3 Operation 6 on Machine 0 : 2291 + 64 -> 2355
Job 4 Operation 6 on Machine 3 : 2291 + 157 -> 2448
Makespan: 2448.0, as it is the maximum end completion time of Operation 6 |
7 | 4 | Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 61 mins.
Operation 1 on Machine 0 duration 69 mins.
Operation 2 on Machine 3 duration 37 mins.
Operation 3 on Machine 2 duration 101 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 35 mins.
Operation 1 on Machine 1 duration 65 mins.
Operation 2 on Machine 3 duration 60 mins.
Operation 3 on Machine 2 duration 68 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 15 mins.
Operation 1 on Machine 3 duration 73 mins.
Operation 2 on Machine 2 duration 33 mins.
Operation 3 on Machine 0 duration 55 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 38 mins.
Operation 1 on Machine 3 duration 27 mins.
Operation 2 on Machine 0 duration 56 mins.
Operation 3 on Machine 1 duration 56 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 74 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 3 duration 3 mins.
Operation 3 on Machine 2 duration 39 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 102 mins.
Operation 1 on Machine 0 duration 96 mins.
Operation 2 on Machine 3 duration 30 mins.
Operation 3 on Machine 2 duration 56 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 97 mins.
Operation 1 on Machine 2 duration 67 mins.
Operation 2 on Machine 1 duration 39 mins.
Operation 3 on Machine 0 duration 59 mins.
| Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 35 mins.
Job 0 Operation 1 duration 69 mins.
Job 4 Operation 1 duration 20 mins.
Job 5 Operation 1 duration 96 mins.
Job 3 Operation 2 duration 56 mins.
Job 2 Operation 3 duration 55 mins.
Job 6 Operation 3 duration 59 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 61 mins.
Job 2 Operation 0 duration 15 mins.
Job 4 Operation 0 duration 74 mins.
Job 5 Operation 0 duration 102 mins.
Job 1 Operation 1 duration 65 mins.
Job 6 Operation 2 duration 39 mins.
Job 3 Operation 3 duration 56 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 38 mins.
Job 6 Operation 1 duration 67 mins.
Job 2 Operation 2 duration 33 mins.
Job 0 Operation 3 duration 101 mins.
Job 1 Operation 3 duration 68 mins.
Job 4 Operation 3 duration 39 mins.
Job 5 Operation 3 duration 56 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 97 mins.
Job 2 Operation 1 duration 73 mins.
Job 3 Operation 1 duration 27 mins.
Job 0 Operation 2 duration 37 mins.
Job 1 Operation 2 duration 60 mins.
Job 4 Operation 2 duration 3 mins.
Job 5 Operation 2 duration 30 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 35 -> 35
Job 0 Operation 0 on Machine 1 : 0 + 61 -> 61
Job 3 Operation 0 on Machine 2 : 0 + 38 -> 38
Job 6 Operation 0 on Machine 3 : 0 + 97 -> 97
Job 0 Operation 1 on Machine 0 : 61 + 69 -> 130
Job 1 Operation 1 on Machine 1 : 61 + 65 -> 126
Job 6 Operation 1 on Machine 2 : 97 + 67 -> 164
Job 3 Operation 1 on Machine 3 : 97 + 27 -> 124
Job 5 Operation 0 on Machine 1 : 126 + 102 -> 228
Job 3 Operation 2 on Machine 0 : 130 + 56 -> 186
Job 0 Operation 2 on Machine 3 : 130 + 37 -> 167
Job 0 Operation 3 on Machine 2 : 167 + 101 -> 268
Job 1 Operation 2 on Machine 3 : 167 + 60 -> 227
Job 5 Operation 1 on Machine 0 : 228 + 96 -> 324
Job 2 Operation 0 on Machine 1 : 228 + 15 -> 243
Job 6 Operation 2 on Machine 1 : 243 + 39 -> 282
Job 2 Operation 1 on Machine 3 : 243 + 73 -> 316
Job 1 Operation 3 on Machine 2 : 268 + 68 -> 336
Job 4 Operation 0 on Machine 1 : 282 + 74 -> 356
Job 6 Operation 3 on Machine 0 : 324 + 59 -> 383
Job 5 Operation 2 on Machine 3 : 324 + 30 -> 354
Job 2 Operation 2 on Machine 2 : 336 + 33 -> 369
Job 3 Operation 3 on Machine 1 : 356 + 56 -> 412
Job 5 Operation 3 on Machine 2 : 369 + 56 -> 425
Job 4 Operation 1 on Machine 0 : 383 + 20 -> 403
Job 2 Operation 3 on Machine 0 : 403 + 55 -> 458
Job 4 Operation 2 on Machine 3 : 403 + 3 -> 406
Job 4 Operation 3 on Machine 2 : 425 + 39 -> 464
Makespan: 464.0, as it is the maximum end completion time of Operation 3 |
3 | 3 | Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 110 mins.
Operation 1 on Machine 2 duration 101 mins.
Operation 2 on Machine 1 duration 241 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 366 mins.
Operation 1 on Machine 2 duration 479 mins.
Operation 2 on Machine 0 duration 370 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 6 mins.
Operation 1 on Machine 2 duration 73 mins.
Operation 2 on Machine 0 duration 496 mins.
| Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 110 mins.
Job 1 Operation 2 duration 370 mins.
Job 2 Operation 2 duration 496 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 366 mins.
Job 2 Operation 0 duration 6 mins.
Job 0 Operation 2 duration 241 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 101 mins.
Job 1 Operation 1 duration 479 mins.
Job 2 Operation 1 duration 73 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 110 -> 110
Job 2 Operation 0 on Machine 1 : 0 + 6 -> 6
Job 1 Operation 0 on Machine 1 : 6 + 366 -> 372
Job 2 Operation 1 on Machine 2 : 6 + 73 -> 79
Job 2 Operation 2 on Machine 0 : 110 + 496 -> 606
Job 0 Operation 1 on Machine 2 : 110 + 101 -> 211
Job 0 Operation 2 on Machine 1 : 372 + 241 -> 613
Job 1 Operation 1 on Machine 2 : 372 + 479 -> 851
Job 1 Operation 2 on Machine 0 : 851 + 370 -> 1221
Makespan: 1221.0, as it is the maximum end completion time of Operation 2 |
20 | 15 | Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 139 mins.
Operation 1 on Machine 3 duration 207 mins.
Operation 2 on Machine 8 duration 173 mins.
Operation 3 on Machine 2 duration 290 mins.
Operation 4 on Machine 9 duration 335 mins.
Operation 5 on Machine 0 duration 85 mins.
Operation 6 on Machine 4 duration 243 mins.
Operation 7 on Machine 5 duration 309 mins.
Operation 8 on Machine 14 duration 293 mins.
Operation 9 on Machine 1 duration 170 mins.
Operation 10 on Machine 10 duration 23 mins.
Operation 11 on Machine 12 duration 199 mins.
Operation 12 on Machine 13 duration 350 mins.
Operation 13 on Machine 11 duration 81 mins.
Operation 14 on Machine 7 duration 173 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 14 duration 57 mins.
Operation 1 on Machine 12 duration 199 mins.
Operation 2 on Machine 4 duration 213 mins.
Operation 3 on Machine 10 duration 51 mins.
Operation 4 on Machine 7 duration 324 mins.
Operation 5 on Machine 6 duration 119 mins.
Operation 6 on Machine 9 duration 203 mins.
Operation 7 on Machine 11 duration 351 mins.
Operation 8 on Machine 8 duration 430 mins.
Operation 9 on Machine 1 duration 114 mins.
Operation 10 on Machine 3 duration 325 mins.
Operation 11 on Machine 0 duration 267 mins.
Operation 12 on Machine 2 duration 26 mins.
Operation 13 on Machine 13 duration 33 mins.
Operation 14 on Machine 5 duration 318 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 173 mins.
Operation 1 on Machine 13 duration 384 mins.
Operation 2 on Machine 6 duration 434 mins.
Operation 3 on Machine 9 duration 121 mins.
Operation 4 on Machine 7 duration 440 mins.
Operation 5 on Machine 11 duration 180 mins.
Operation 6 on Machine 8 duration 77 mins.
Operation 7 on Machine 12 duration 183 mins.
Operation 8 on Machine 14 duration 126 mins.
Operation 9 on Machine 1 duration 379 mins.
Operation 10 on Machine 10 duration 8 mins.
Operation 11 on Machine 0 duration 354 mins.
Operation 12 on Machine 5 duration 100 mins.
Operation 13 on Machine 3 duration 234 mins.
Operation 14 on Machine 4 duration 274 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 13 duration 27 mins.
Operation 1 on Machine 9 duration 103 mins.
Operation 2 on Machine 0 duration 451 mins.
Operation 3 on Machine 3 duration 53 mins.
Operation 4 on Machine 14 duration 128 mins.
Operation 5 on Machine 6 duration 361 mins.
Operation 6 on Machine 12 duration 386 mins.
Operation 7 on Machine 4 duration 43 mins.
Operation 8 on Machine 2 duration 110 mins.
Operation 9 on Machine 11 duration 243 mins.
Operation 10 on Machine 1 duration 84 mins.
Operation 11 on Machine 8 duration 100 mins.
Operation 12 on Machine 7 duration 137 mins.
Operation 13 on Machine 10 duration 218 mins.
Operation 14 on Machine 5 duration 47 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 10 duration 208 mins.
Operation 1 on Machine 6 duration 461 mins.
Operation 2 on Machine 7 duration 236 mins.
Operation 3 on Machine 11 duration 293 mins.
Operation 4 on Machine 13 duration 318 mins.
Operation 5 on Machine 14 duration 148 mins.
Operation 6 on Machine 12 duration 203 mins.
Operation 7 on Machine 5 duration 417 mins.
Operation 8 on Machine 4 duration 151 mins.
Operation 9 on Machine 1 duration 76 mins.
Operation 10 on Machine 9 duration 265 mins.
Operation 11 on Machine 3 duration 285 mins.
Operation 12 on Machine 2 duration 307 mins.
Operation 13 on Machine 8 duration 367 mins.
Operation 14 on Machine 0 duration 348 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 9 duration 387 mins.
Operation 1 on Machine 1 duration 259 mins.
Operation 2 on Machine 10 duration 390 mins.
Operation 3 on Machine 6 duration 152 mins.
Operation 4 on Machine 4 duration 284 mins.
Operation 5 on Machine 2 duration 116 mins.
Operation 6 on Machine 5 duration 33 mins.
Operation 7 on Machine 13 duration 61 mins.
Operation 8 on Machine 7 duration 391 mins.
Operation 9 on Machine 8 duration 152 mins.
Operation 10 on Machine 14 duration 172 mins.
Operation 11 on Machine 12 duration 135 mins.
Operation 12 on Machine 11 duration 446 mins.
Operation 13 on Machine 3 duration 163 mins.
Operation 14 on Machine 0 duration 133 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 449 mins.
Operation 1 on Machine 7 duration 298 mins.
Operation 2 on Machine 12 duration 341 mins.
Operation 3 on Machine 6 duration 224 mins.
Operation 4 on Machine 3 duration 14 mins.
Operation 5 on Machine 13 duration 443 mins.
Operation 6 on Machine 2 duration 126 mins.
Operation 7 on Machine 1 duration 231 mins.
Operation 8 on Machine 9 duration 125 mins.
Operation 9 on Machine 14 duration 412 mins.
Operation 10 on Machine 10 duration 113 mins.
Operation 11 on Machine 0 duration 318 mins.
Operation 12 on Machine 4 duration 137 mins.
Operation 13 on Machine 5 duration 66 mins.
Operation 14 on Machine 11 duration 448 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 457 mins.
Operation 1 on Machine 14 duration 45 mins.
Operation 2 on Machine 3 duration 429 mins.
Operation 3 on Machine 10 duration 111 mins.
Operation 4 on Machine 1 duration 394 mins.
Operation 5 on Machine 9 duration 248 mins.
Operation 6 on Machine 7 duration 333 mins.
Operation 7 on Machine 2 duration 301 mins.
Operation 8 on Machine 12 duration 220 mins.
Operation 9 on Machine 5 duration 259 mins.
Operation 10 on Machine 0 duration 250 mins.
Operation 11 on Machine 6 duration 235 mins.
Operation 12 on Machine 13 duration 383 mins.
Operation 13 on Machine 4 duration 402 mins.
Operation 14 on Machine 11 duration 226 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 14 duration 199 mins.
Operation 1 on Machine 3 duration 44 mins.
Operation 2 on Machine 4 duration 163 mins.
Operation 3 on Machine 8 duration 37 mins.
Operation 4 on Machine 13 duration 424 mins.
Operation 5 on Machine 0 duration 341 mins.
Operation 6 on Machine 6 duration 278 mins.
Operation 7 on Machine 9 duration 258 mins.
Operation 8 on Machine 11 duration 374 mins.
Operation 9 on Machine 2 duration 115 mins.
Operation 10 on Machine 1 duration 246 mins.
Operation 11 on Machine 7 duration 397 mins.
Operation 12 on Machine 5 duration 365 mins.
Operation 13 on Machine 12 duration 266 mins.
Operation 14 on Machine 10 duration 1 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 12 duration 330 mins.
Operation 1 on Machine 9 duration 297 mins.
Operation 2 on Machine 0 duration 85 mins.
Operation 3 on Machine 10 duration 225 mins.
Operation 4 on Machine 4 duration 353 mins.
Operation 5 on Machine 1 duration 74 mins.
Operation 6 on Machine 7 duration 272 mins.
Operation 7 on Machine 14 duration 344 mins.
Operation 8 on Machine 13 duration 89 mins.
Operation 9 on Machine 8 duration 369 mins.
Operation 10 on Machine 5 duration 181 mins.
Operation 11 on Machine 11 duration 239 mins.
Operation 12 on Machine 3 duration 260 mins.
Operation 13 on Machine 6 duration 246 mins.
Operation 14 on Machine 2 duration 206 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 11 duration 419 mins.
Operation 1 on Machine 3 duration 75 mins.
Operation 2 on Machine 6 duration 143 mins.
Operation 3 on Machine 2 duration 240 mins.
Operation 4 on Machine 10 duration 232 mins.
Operation 5 on Machine 12 duration 33 mins.
Operation 6 on Machine 14 duration 411 mins.
Operation 7 on Machine 5 duration 250 mins.
Operation 8 on Machine 9 duration 234 mins.
Operation 9 on Machine 4 duration 1 mins.
Operation 10 on Machine 1 duration 253 mins.
Operation 11 on Machine 7 duration 251 mins.
Operation 12 on Machine 8 duration 181 mins.
Operation 13 on Machine 0 duration 24 mins.
Operation 14 on Machine 13 duration 117 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 10 duration 255 mins.
Operation 1 on Machine 4 duration 92 mins.
Operation 2 on Machine 1 duration 104 mins.
Operation 3 on Machine 0 duration 270 mins.
Operation 4 on Machine 6 duration 31 mins.
Operation 5 on Machine 7 duration 24 mins.
Operation 6 on Machine 14 duration 120 mins.
Operation 7 on Machine 11 duration 280 mins.
Operation 8 on Machine 8 duration 73 mins.
Operation 9 on Machine 13 duration 36 mins.
Operation 10 on Machine 2 duration 25 mins.
Operation 11 on Machine 3 duration 171 mins.
Operation 12 on Machine 5 duration 123 mins.
Operation 13 on Machine 9 duration 429 mins.
Operation 14 on Machine 12 duration 103 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 2 duration 220 mins.
Operation 1 on Machine 11 duration 332 mins.
Operation 2 on Machine 1 duration 95 mins.
Operation 3 on Machine 9 duration 90 mins.
Operation 4 on Machine 13 duration 44 mins.
Operation 5 on Machine 8 duration 88 mins.
Operation 6 on Machine 4 duration 358 mins.
Operation 7 on Machine 0 duration 180 mins.
Operation 8 on Machine 3 duration 435 mins.
Operation 9 on Machine 7 duration 293 mins.
Operation 10 on Machine 14 duration 17 mins.
Operation 11 on Machine 6 duration 471 mins.
Operation 12 on Machine 12 duration 195 mins.
Operation 13 on Machine 5 duration 78 mins.
Operation 14 on Machine 10 duration 259 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 4 duration 140 mins.
Operation 1 on Machine 14 duration 39 mins.
Operation 2 on Machine 5 duration 123 mins.
Operation 3 on Machine 6 duration 354 mins.
Operation 4 on Machine 1 duration 367 mins.
Operation 5 on Machine 0 duration 54 mins.
Operation 6 on Machine 2 duration 61 mins.
Operation 7 on Machine 8 duration 285 mins.
Operation 8 on Machine 11 duration 468 mins.
Operation 9 on Machine 13 duration 408 mins.
Operation 10 on Machine 3 duration 428 mins.
Operation 11 on Machine 9 duration 213 mins.
Operation 12 on Machine 12 duration 99 mins.
Operation 13 on Machine 7 duration 198 mins.
Operation 14 on Machine 10 duration 471 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 11 duration 332 mins.
Operation 1 on Machine 4 duration 212 mins.
Operation 2 on Machine 3 duration 368 mins.
Operation 3 on Machine 0 duration 109 mins.
Operation 4 on Machine 12 duration 182 mins.
Operation 5 on Machine 6 duration 56 mins.
Operation 6 on Machine 14 duration 305 mins.
Operation 7 on Machine 7 duration 194 mins.
Operation 8 on Machine 2 duration 7 mins.
Operation 9 on Machine 9 duration 176 mins.
Operation 10 on Machine 5 duration 143 mins.
Operation 11 on Machine 1 duration 356 mins.
Operation 12 on Machine 10 duration 287 mins.
Operation 13 on Machine 13 duration 455 mins.
Operation 14 on Machine 8 duration 447 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 9 duration 279 mins.
Operation 1 on Machine 2 duration 263 mins.
Operation 2 on Machine 12 duration 190 mins.
Operation 3 on Machine 7 duration 71 mins.
Operation 4 on Machine 0 duration 133 mins.
Operation 5 on Machine 5 duration 113 mins.
Operation 6 on Machine 10 duration 52 mins.
Operation 7 on Machine 13 duration 456 mins.
Operation 8 on Machine 8 duration 304 mins.
Operation 9 on Machine 4 duration 285 mins.
Operation 10 on Machine 6 duration 194 mins.
Operation 11 on Machine 14 duration 181 mins.
Operation 12 on Machine 3 duration 114 mins.
Operation 13 on Machine 11 duration 249 mins.
Operation 14 on Machine 1 duration 311 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 2 duration 152 mins.
Operation 1 on Machine 9 duration 386 mins.
Operation 2 on Machine 13 duration 375 mins.
Operation 3 on Machine 3 duration 14 mins.
Operation 4 on Machine 1 duration 182 mins.
Operation 5 on Machine 11 duration 468 mins.
Operation 6 on Machine 5 duration 277 mins.
Operation 7 on Machine 4 duration 189 mins.
Operation 8 on Machine 8 duration 330 mins.
Operation 9 on Machine 0 duration 25 mins.
Operation 10 on Machine 7 duration 418 mins.
Operation 11 on Machine 6 duration 360 mins.
Operation 12 on Machine 10 duration 125 mins.
Operation 13 on Machine 14 duration 399 mins.
Operation 14 on Machine 12 duration 142 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 7 duration 385 mins.
Operation 1 on Machine 5 duration 366 mins.
Operation 2 on Machine 9 duration 346 mins.
Operation 3 on Machine 0 duration 17 mins.
Operation 4 on Machine 12 duration 441 mins.
Operation 5 on Machine 3 duration 68 mins.
Operation 6 on Machine 11 duration 138 mins.
Operation 7 on Machine 4 duration 124 mins.
Operation 8 on Machine 6 duration 424 mins.
Operation 9 on Machine 14 duration 384 mins.
Operation 10 on Machine 2 duration 338 mins.
Operation 11 on Machine 13 duration 219 mins.
Operation 12 on Machine 8 duration 67 mins.
Operation 13 on Machine 10 duration 82 mins.
Operation 14 on Machine 1 duration 387 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 14 duration 28 mins.
Operation 1 on Machine 1 duration 256 mins.
Operation 2 on Machine 10 duration 52 mins.
Operation 3 on Machine 0 duration 464 mins.
Operation 4 on Machine 2 duration 332 mins.
Operation 5 on Machine 12 duration 386 mins.
Operation 6 on Machine 6 duration 270 mins.
Operation 7 on Machine 3 duration 314 mins.
Operation 8 on Machine 9 duration 130 mins.
Operation 9 on Machine 8 duration 127 mins.
Operation 10 on Machine 11 duration 212 mins.
Operation 11 on Machine 4 duration 281 mins.
Operation 12 on Machine 7 duration 458 mins.
Operation 13 on Machine 13 duration 119 mins.
Operation 14 on Machine 5 duration 404 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 3 duration 14 mins.
Operation 1 on Machine 4 duration 397 mins.
Operation 2 on Machine 8 duration 363 mins.
Operation 3 on Machine 13 duration 288 mins.
Operation 4 on Machine 0 duration 180 mins.
Operation 5 on Machine 11 duration 436 mins.
Operation 6 on Machine 5 duration 135 mins.
Operation 7 on Machine 12 duration 1 mins.
Operation 8 on Machine 1 duration 397 mins.
Operation 9 on Machine 6 duration 144 mins.
Operation 10 on Machine 14 duration 244 mins.
Operation 11 on Machine 7 duration 141 mins.
Operation 12 on Machine 10 duration 99 mins.
Operation 13 on Machine 2 duration 346 mins.
Operation 14 on Machine 9 duration 374 mins.
| Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 2 duration 451 mins.
Job 9 Operation 2 duration 85 mins.
Job 11 Operation 3 duration 270 mins.
Job 14 Operation 3 duration 109 mins.
Job 17 Operation 3 duration 17 mins.
Job 18 Operation 3 duration 464 mins.
Job 15 Operation 4 duration 133 mins.
Job 19 Operation 4 duration 180 mins.
Job 0 Operation 5 duration 85 mins.
Job 8 Operation 5 duration 341 mins.
Job 13 Operation 5 duration 54 mins.
Job 12 Operation 7 duration 180 mins.
Job 16 Operation 9 duration 25 mins.
Job 7 Operation 10 duration 250 mins.
Job 1 Operation 11 duration 267 mins.
Job 2 Operation 11 duration 354 mins.
Job 6 Operation 11 duration 318 mins.
Job 10 Operation 13 duration 24 mins.
Job 4 Operation 14 duration 348 mins.
Job 5 Operation 14 duration 133 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 1 duration 259 mins.
Job 18 Operation 1 duration 256 mins.
Job 11 Operation 2 duration 104 mins.
Job 12 Operation 2 duration 95 mins.
Job 7 Operation 4 duration 394 mins.
Job 13 Operation 4 duration 367 mins.
Job 16 Operation 4 duration 182 mins.
Job 9 Operation 5 duration 74 mins.
Job 6 Operation 7 duration 231 mins.
Job 19 Operation 8 duration 397 mins.
Job 0 Operation 9 duration 170 mins.
Job 1 Operation 9 duration 114 mins.
Job 2 Operation 9 duration 379 mins.
Job 4 Operation 9 duration 76 mins.
Job 3 Operation 10 duration 84 mins.
Job 8 Operation 10 duration 246 mins.
Job 10 Operation 10 duration 253 mins.
Job 14 Operation 11 duration 356 mins.
Job 15 Operation 14 duration 311 mins.
Job 17 Operation 14 duration 387 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 173 mins.
Job 12 Operation 0 duration 220 mins.
Job 16 Operation 0 duration 152 mins.
Job 15 Operation 1 duration 263 mins.
Job 0 Operation 3 duration 290 mins.
Job 10 Operation 3 duration 240 mins.
Job 18 Operation 4 duration 332 mins.
Job 5 Operation 5 duration 116 mins.
Job 6 Operation 6 duration 126 mins.
Job 13 Operation 6 duration 61 mins.
Job 7 Operation 7 duration 301 mins.
Job 3 Operation 8 duration 110 mins.
Job 14 Operation 8 duration 7 mins.
Job 8 Operation 9 duration 115 mins.
Job 11 Operation 10 duration 25 mins.
Job 17 Operation 10 duration 338 mins.
Job 1 Operation 12 duration 26 mins.
Job 4 Operation 12 duration 307 mins.
Job 19 Operation 13 duration 346 mins.
Job 9 Operation 14 duration 206 mins.
Machine 3 is used for the following Operations:
Job 19 Operation 0 duration 14 mins.
Job 0 Operation 1 duration 207 mins.
Job 8 Operation 1 duration 44 mins.
Job 10 Operation 1 duration 75 mins.
Job 7 Operation 2 duration 429 mins.
Job 14 Operation 2 duration 368 mins.
Job 3 Operation 3 duration 53 mins.
Job 16 Operation 3 duration 14 mins.
Job 6 Operation 4 duration 14 mins.
Job 17 Operation 5 duration 68 mins.
Job 18 Operation 7 duration 314 mins.
Job 12 Operation 8 duration 435 mins.
Job 1 Operation 10 duration 325 mins.
Job 13 Operation 10 duration 428 mins.
Job 4 Operation 11 duration 285 mins.
Job 11 Operation 11 duration 171 mins.
Job 9 Operation 12 duration 260 mins.
Job 15 Operation 12 duration 114 mins.
Job 2 Operation 13 duration 234 mins.
Job 5 Operation 13 duration 163 mins.
Machine 4 is used for the following Operations:
Job 13 Operation 0 duration 140 mins.
Job 11 Operation 1 duration 92 mins.
Job 14 Operation 1 duration 212 mins.
Job 19 Operation 1 duration 397 mins.
Job 1 Operation 2 duration 213 mins.
Job 8 Operation 2 duration 163 mins.
Job 5 Operation 4 duration 284 mins.
Job 9 Operation 4 duration 353 mins.
Job 0 Operation 6 duration 243 mins.
Job 12 Operation 6 duration 358 mins.
Job 3 Operation 7 duration 43 mins.
Job 16 Operation 7 duration 189 mins.
Job 17 Operation 7 duration 124 mins.
Job 4 Operation 8 duration 151 mins.
Job 10 Operation 9 duration 1 mins.
Job 15 Operation 9 duration 285 mins.
Job 18 Operation 11 duration 281 mins.
Job 6 Operation 12 duration 137 mins.
Job 7 Operation 13 duration 402 mins.
Job 2 Operation 14 duration 274 mins.
Machine 5 is used for the following Operations:
Job 17 Operation 1 duration 366 mins.
Job 13 Operation 2 duration 123 mins.
Job 15 Operation 5 duration 113 mins.
Job 5 Operation 6 duration 33 mins.
Job 16 Operation 6 duration 277 mins.
Job 19 Operation 6 duration 135 mins.
Job 0 Operation 7 duration 309 mins.
Job 4 Operation 7 duration 417 mins.
Job 10 Operation 7 duration 250 mins.
Job 7 Operation 9 duration 259 mins.
Job 9 Operation 10 duration 181 mins.
Job 14 Operation 10 duration 143 mins.
Job 2 Operation 12 duration 100 mins.
Job 8 Operation 12 duration 365 mins.
Job 11 Operation 12 duration 123 mins.
Job 6 Operation 13 duration 66 mins.
Job 12 Operation 13 duration 78 mins.
Job 1 Operation 14 duration 318 mins.
Job 3 Operation 14 duration 47 mins.
Job 18 Operation 14 duration 404 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 139 mins.
Job 4 Operation 1 duration 461 mins.
Job 2 Operation 2 duration 434 mins.
Job 10 Operation 2 duration 143 mins.
Job 5 Operation 3 duration 152 mins.
Job 6 Operation 3 duration 224 mins.
Job 13 Operation 3 duration 354 mins.
Job 11 Operation 4 duration 31 mins.
Job 1 Operation 5 duration 119 mins.
Job 3 Operation 5 duration 361 mins.
Job 14 Operation 5 duration 56 mins.
Job 8 Operation 6 duration 278 mins.
Job 18 Operation 6 duration 270 mins.
Job 17 Operation 8 duration 424 mins.
Job 19 Operation 9 duration 144 mins.
Job 15 Operation 10 duration 194 mins.
Job 7 Operation 11 duration 235 mins.
Job 12 Operation 11 duration 471 mins.
Job 16 Operation 11 duration 360 mins.
Job 9 Operation 13 duration 246 mins.
Machine 7 is used for the following Operations:
Job 17 Operation 0 duration 385 mins.
Job 6 Operation 1 duration 298 mins.
Job 4 Operation 2 duration 236 mins.
Job 15 Operation 3 duration 71 mins.
Job 1 Operation 4 duration 324 mins.
Job 2 Operation 4 duration 440 mins.
Job 11 Operation 5 duration 24 mins.
Job 7 Operation 6 duration 333 mins.
Job 9 Operation 6 duration 272 mins.
Job 14 Operation 7 duration 194 mins.
Job 5 Operation 8 duration 391 mins.
Job 12 Operation 9 duration 293 mins.
Job 16 Operation 10 duration 418 mins.
Job 8 Operation 11 duration 397 mins.
Job 10 Operation 11 duration 251 mins.
Job 19 Operation 11 duration 141 mins.
Job 3 Operation 12 duration 137 mins.
Job 18 Operation 12 duration 458 mins.
Job 13 Operation 13 duration 198 mins.
Job 0 Operation 14 duration 173 mins.
Machine 8 is used for the following Operations:
Job 6 Operation 0 duration 449 mins.
Job 7 Operation 0 duration 457 mins.
Job 0 Operation 2 duration 173 mins.
Job 19 Operation 2 duration 363 mins.
Job 8 Operation 3 duration 37 mins.
Job 12 Operation 5 duration 88 mins.
Job 2 Operation 6 duration 77 mins.
Job 13 Operation 7 duration 285 mins.
Job 1 Operation 8 duration 430 mins.
Job 11 Operation 8 duration 73 mins.
Job 15 Operation 8 duration 304 mins.
Job 16 Operation 8 duration 330 mins.
Job 5 Operation 9 duration 152 mins.
Job 9 Operation 9 duration 369 mins.
Job 18 Operation 9 duration 127 mins.
Job 3 Operation 11 duration 100 mins.
Job 10 Operation 12 duration 181 mins.
Job 17 Operation 12 duration 67 mins.
Job 4 Operation 13 duration 367 mins.
Job 14 Operation 14 duration 447 mins.
Machine 9 is used for the following Operations:
Job 5 Operation 0 duration 387 mins.
Job 15 Operation 0 duration 279 mins.
Job 3 Operation 1 duration 103 mins.
Job 9 Operation 1 duration 297 mins.
Job 16 Operation 1 duration 386 mins.
Job 17 Operation 2 duration 346 mins.
Job 2 Operation 3 duration 121 mins.
Job 12 Operation 3 duration 90 mins.
Job 0 Operation 4 duration 335 mins.
Job 7 Operation 5 duration 248 mins.
Job 1 Operation 6 duration 203 mins.
Job 8 Operation 7 duration 258 mins.
Job 6 Operation 8 duration 125 mins.
Job 10 Operation 8 duration 234 mins.
Job 18 Operation 8 duration 130 mins.
Job 14 Operation 9 duration 176 mins.
Job 4 Operation 10 duration 265 mins.
Job 13 Operation 11 duration 213 mins.
Job 11 Operation 13 duration 429 mins.
Job 19 Operation 14 duration 374 mins.
Machine 10 is used for the following Operations:
Job 4 Operation 0 duration 208 mins.
Job 11 Operation 0 duration 255 mins.
Job 5 Operation 2 duration 390 mins.
Job 18 Operation 2 duration 52 mins.
Job 1 Operation 3 duration 51 mins.
Job 7 Operation 3 duration 111 mins.
Job 9 Operation 3 duration 225 mins.
Job 10 Operation 4 duration 232 mins.
Job 15 Operation 6 duration 52 mins.
Job 0 Operation 10 duration 23 mins.
Job 2 Operation 10 duration 8 mins.
Job 6 Operation 10 duration 113 mins.
Job 14 Operation 12 duration 287 mins.
Job 16 Operation 12 duration 125 mins.
Job 19 Operation 12 duration 99 mins.
Job 3 Operation 13 duration 218 mins.
Job 17 Operation 13 duration 82 mins.
Job 8 Operation 14 duration 1 mins.
Job 12 Operation 14 duration 259 mins.
Job 13 Operation 14 duration 471 mins.
Machine 11 is used for the following Operations:
Job 10 Operation 0 duration 419 mins.
Job 14 Operation 0 duration 332 mins.
Job 12 Operation 1 duration 332 mins.
Job 4 Operation 3 duration 293 mins.
Job 2 Operation 5 duration 180 mins.
Job 16 Operation 5 duration 468 mins.
Job 19 Operation 5 duration 436 mins.
Job 17 Operation 6 duration 138 mins.
Job 1 Operation 7 duration 351 mins.
Job 11 Operation 7 duration 280 mins.
Job 8 Operation 8 duration 374 mins.
Job 13 Operation 8 duration 468 mins.
Job 3 Operation 9 duration 243 mins.
Job 18 Operation 10 duration 212 mins.
Job 9 Operation 11 duration 239 mins.
Job 5 Operation 12 duration 446 mins.
Job 0 Operation 13 duration 81 mins.
Job 15 Operation 13 duration 249 mins.
Job 6 Operation 14 duration 448 mins.
Job 7 Operation 14 duration 226 mins.
Machine 12 is used for the following Operations:
Job 9 Operation 0 duration 330 mins.
Job 1 Operation 1 duration 199 mins.
Job 6 Operation 2 duration 341 mins.
Job 15 Operation 2 duration 190 mins.
Job 14 Operation 4 duration 182 mins.
Job 17 Operation 4 duration 441 mins.
Job 10 Operation 5 duration 33 mins.
Job 18 Operation 5 duration 386 mins.
Job 3 Operation 6 duration 386 mins.
Job 4 Operation 6 duration 203 mins.
Job 2 Operation 7 duration 183 mins.
Job 19 Operation 7 duration 1 mins.
Job 7 Operation 8 duration 220 mins.
Job 0 Operation 11 duration 199 mins.
Job 5 Operation 11 duration 135 mins.
Job 12 Operation 12 duration 195 mins.
Job 13 Operation 12 duration 99 mins.
Job 8 Operation 13 duration 266 mins.
Job 11 Operation 14 duration 103 mins.
Job 16 Operation 14 duration 142 mins.
Machine 13 is used for the following Operations:
Job 3 Operation 0 duration 27 mins.
Job 2 Operation 1 duration 384 mins.
Job 16 Operation 2 duration 375 mins.
Job 19 Operation 3 duration 288 mins.
Job 4 Operation 4 duration 318 mins.
Job 8 Operation 4 duration 424 mins.
Job 12 Operation 4 duration 44 mins.
Job 6 Operation 5 duration 443 mins.
Job 5 Operation 7 duration 61 mins.
Job 15 Operation 7 duration 456 mins.
Job 9 Operation 8 duration 89 mins.
Job 11 Operation 9 duration 36 mins.
Job 13 Operation 9 duration 408 mins.
Job 17 Operation 11 duration 219 mins.
Job 0 Operation 12 duration 350 mins.
Job 7 Operation 12 duration 383 mins.
Job 1 Operation 13 duration 33 mins.
Job 14 Operation 13 duration 455 mins.
Job 18 Operation 13 duration 119 mins.
Job 10 Operation 14 duration 117 mins.
Machine 14 is used for the following Operations:
Job 1 Operation 0 duration 57 mins.
Job 8 Operation 0 duration 199 mins.
Job 18 Operation 0 duration 28 mins.
Job 7 Operation 1 duration 45 mins.
Job 13 Operation 1 duration 39 mins.
Job 3 Operation 4 duration 128 mins.
Job 4 Operation 5 duration 148 mins.
Job 10 Operation 6 duration 411 mins.
Job 11 Operation 6 duration 120 mins.
Job 14 Operation 6 duration 305 mins.
Job 9 Operation 7 duration 344 mins.
Job 0 Operation 8 duration 293 mins.
Job 2 Operation 8 duration 126 mins.
Job 6 Operation 9 duration 412 mins.
Job 17 Operation 9 duration 384 mins.
Job 5 Operation 10 duration 172 mins.
Job 12 Operation 10 duration 17 mins.
Job 19 Operation 10 duration 244 mins.
Job 15 Operation 11 duration 181 mins.
Job 16 Operation 13 duration 399 mins.
| Solution:
Job 16 Operation 0 on Machine 2 : 0 + 152 -> 152
Job 19 Operation 0 on Machine 3 : 0 + 14 -> 14
Job 13 Operation 0 on Machine 4 : 0 + 140 -> 140
Job 0 Operation 0 on Machine 6 : 0 + 139 -> 139
Job 17 Operation 0 on Machine 7 : 0 + 385 -> 385
Job 6 Operation 0 on Machine 8 : 0 + 449 -> 449
Job 4 Operation 0 on Machine 10 : 0 + 208 -> 208
Job 10 Operation 0 on Machine 11 : 0 + 419 -> 419
Job 9 Operation 0 on Machine 12 : 0 + 330 -> 330
Job 3 Operation 0 on Machine 13 : 0 + 27 -> 27
Job 18 Operation 0 on Machine 14 : 0 + 28 -> 28
Job 18 Operation 1 on Machine 1 : 28 + 256 -> 284
Job 1 Operation 0 on Machine 14 : 28 + 57 -> 85
Job 0 Operation 1 on Machine 3 : 139 + 207 -> 346
Job 19 Operation 1 on Machine 4 : 140 + 397 -> 537
Job 13 Operation 1 on Machine 14 : 140 + 39 -> 179
Job 2 Operation 0 on Machine 2 : 152 + 173 -> 325
Job 16 Operation 1 on Machine 9 : 152 + 386 -> 538
Job 13 Operation 2 on Machine 5 : 179 + 123 -> 302
Job 8 Operation 0 on Machine 14 : 179 + 199 -> 378
Job 4 Operation 1 on Machine 6 : 208 + 461 -> 669
Job 18 Operation 2 on Machine 10 : 284 + 52 -> 336
Job 12 Operation 0 on Machine 2 : 325 + 220 -> 545
Job 1 Operation 1 on Machine 12 : 330 + 199 -> 529
Job 18 Operation 3 on Machine 0 : 336 + 464 -> 800
Job 11 Operation 0 on Machine 10 : 336 + 255 -> 591
Job 8 Operation 1 on Machine 3 : 378 + 44 -> 422
Job 17 Operation 1 on Machine 5 : 385 + 366 -> 751
Job 14 Operation 0 on Machine 11 : 419 + 332 -> 751
Job 10 Operation 1 on Machine 3 : 422 + 75 -> 497
Job 6 Operation 1 on Machine 7 : 449 + 298 -> 747
Job 19 Operation 2 on Machine 8 : 537 + 363 -> 900
Job 15 Operation 0 on Machine 9 : 538 + 279 -> 817
Job 16 Operation 2 on Machine 13 : 538 + 375 -> 913
Job 11 Operation 1 on Machine 4 : 591 + 92 -> 683
Job 10 Operation 2 on Machine 6 : 669 + 143 -> 812
Job 11 Operation 2 on Machine 1 : 683 + 104 -> 787
Job 6 Operation 2 on Machine 12 : 747 + 341 -> 1088
Job 14 Operation 1 on Machine 4 : 751 + 212 -> 963
Job 12 Operation 1 on Machine 11 : 751 + 332 -> 1083
Job 11 Operation 3 on Machine 0 : 800 + 270 -> 1070
Job 15 Operation 1 on Machine 2 : 817 + 263 -> 1080
Job 5 Operation 0 on Machine 9 : 817 + 387 -> 1204
Job 7 Operation 0 on Machine 8 : 900 + 457 -> 1357
Job 16 Operation 3 on Machine 3 : 913 + 14 -> 927
Job 19 Operation 3 on Machine 13 : 913 + 288 -> 1201
Job 16 Operation 4 on Machine 1 : 927 + 182 -> 1109
Job 14 Operation 2 on Machine 3 : 963 + 368 -> 1331
Job 1 Operation 2 on Machine 4 : 963 + 213 -> 1176
Job 10 Operation 3 on Machine 2 : 1080 + 240 -> 1320
Job 6 Operation 3 on Machine 6 : 1088 + 224 -> 1312
Job 15 Operation 2 on Machine 12 : 1088 + 190 -> 1278
Job 16 Operation 5 on Machine 11 : 1109 + 468 -> 1577
Job 8 Operation 2 on Machine 4 : 1176 + 163 -> 1339
Job 1 Operation 3 on Machine 10 : 1176 + 51 -> 1227
Job 19 Operation 4 on Machine 0 : 1201 + 180 -> 1381
Job 2 Operation 1 on Machine 13 : 1201 + 384 -> 1585
Job 5 Operation 1 on Machine 1 : 1204 + 259 -> 1463
Job 17 Operation 2 on Machine 9 : 1204 + 346 -> 1550
Job 1 Operation 4 on Machine 7 : 1227 + 324 -> 1551
Job 13 Operation 3 on Machine 6 : 1312 + 354 -> 1666
Job 18 Operation 4 on Machine 2 : 1320 + 332 -> 1652
Job 10 Operation 4 on Machine 10 : 1320 + 232 -> 1552
Job 8 Operation 3 on Machine 8 : 1357 + 37 -> 1394
Job 7 Operation 1 on Machine 14 : 1357 + 45 -> 1402
Job 14 Operation 3 on Machine 0 : 1381 + 109 -> 1490
Job 0 Operation 2 on Machine 8 : 1394 + 173 -> 1567
Job 7 Operation 2 on Machine 3 : 1402 + 429 -> 1831
Job 12 Operation 2 on Machine 1 : 1463 + 95 -> 1558
Job 14 Operation 4 on Machine 12 : 1490 + 182 -> 1672
Job 9 Operation 1 on Machine 9 : 1550 + 297 -> 1847
Job 15 Operation 3 on Machine 7 : 1551 + 71 -> 1622
Job 5 Operation 2 on Machine 10 : 1552 + 390 -> 1942
Job 16 Operation 6 on Machine 5 : 1577 + 277 -> 1854
Job 19 Operation 5 on Machine 11 : 1577 + 436 -> 2013
Job 8 Operation 4 on Machine 13 : 1585 + 424 -> 2009
Job 15 Operation 4 on Machine 0 : 1622 + 133 -> 1755
Job 4 Operation 2 on Machine 7 : 1622 + 236 -> 1858
Job 0 Operation 3 on Machine 2 : 1652 + 290 -> 1942
Job 13 Operation 4 on Machine 1 : 1666 + 367 -> 2033
Job 14 Operation 5 on Machine 6 : 1672 + 56 -> 1728
Job 18 Operation 5 on Machine 12 : 1672 + 386 -> 2058
Job 1 Operation 5 on Machine 6 : 1728 + 119 -> 1847
Job 14 Operation 6 on Machine 14 : 1728 + 305 -> 2033
Job 6 Operation 4 on Machine 3 : 1831 + 14 -> 1845
Job 9 Operation 2 on Machine 0 : 1847 + 85 -> 1932
Job 11 Operation 4 on Machine 6 : 1847 + 31 -> 1878
Job 1 Operation 6 on Machine 9 : 1847 + 203 -> 2050
Job 16 Operation 7 on Machine 4 : 1854 + 189 -> 2043
Job 15 Operation 5 on Machine 5 : 1854 + 113 -> 1967
Job 5 Operation 3 on Machine 6 : 1942 + 152 -> 2094
Job 15 Operation 6 on Machine 10 : 1967 + 52 -> 2019
Job 19 Operation 6 on Machine 5 : 2013 + 135 -> 2148
Job 7 Operation 3 on Machine 10 : 2019 + 111 -> 2130
Job 15 Operation 7 on Machine 13 : 2019 + 456 -> 2475
Job 13 Operation 5 on Machine 0 : 2033 + 54 -> 2087
Job 14 Operation 7 on Machine 7 : 2033 + 194 -> 2227
Job 16 Operation 8 on Machine 8 : 2043 + 330 -> 2373
Job 1 Operation 7 on Machine 11 : 2050 + 351 -> 2401
Job 10 Operation 5 on Machine 12 : 2058 + 33 -> 2091
Job 8 Operation 5 on Machine 0 : 2087 + 341 -> 2428
Job 13 Operation 6 on Machine 2 : 2087 + 61 -> 2148
Job 10 Operation 6 on Machine 14 : 2091 + 411 -> 2502
Job 5 Operation 4 on Machine 4 : 2094 + 284 -> 2378
Job 2 Operation 2 on Machine 6 : 2094 + 434 -> 2528
Job 9 Operation 3 on Machine 10 : 2130 + 225 -> 2355
Job 19 Operation 7 on Machine 12 : 2148 + 1 -> 2149
Job 19 Operation 8 on Machine 1 : 2149 + 397 -> 2546
Job 14 Operation 8 on Machine 2 : 2227 + 7 -> 2234
Job 11 Operation 5 on Machine 7 : 2227 + 24 -> 2251
Job 14 Operation 9 on Machine 9 : 2234 + 176 -> 2410
Job 13 Operation 7 on Machine 8 : 2373 + 285 -> 2658
Job 5 Operation 5 on Machine 2 : 2378 + 116 -> 2494
Job 9 Operation 4 on Machine 4 : 2378 + 353 -> 2731
Job 14 Operation 10 on Machine 5 : 2410 + 143 -> 2553
Job 12 Operation 3 on Machine 9 : 2410 + 90 -> 2500
Job 17 Operation 3 on Machine 0 : 2428 + 17 -> 2445
Job 17 Operation 4 on Machine 12 : 2445 + 441 -> 2886
Job 3 Operation 1 on Machine 9 : 2500 + 103 -> 2603
Job 12 Operation 4 on Machine 13 : 2500 + 44 -> 2544
Job 11 Operation 6 on Machine 14 : 2502 + 120 -> 2622
Job 19 Operation 9 on Machine 6 : 2546 + 144 -> 2690
Job 14 Operation 11 on Machine 1 : 2553 + 356 -> 2909
Job 5 Operation 6 on Machine 5 : 2553 + 33 -> 2586
Job 10 Operation 7 on Machine 5 : 2586 + 250 -> 2836
Job 5 Operation 7 on Machine 13 : 2586 + 61 -> 2647
Job 3 Operation 2 on Machine 0 : 2603 + 451 -> 3054
Job 2 Operation 3 on Machine 9 : 2603 + 121 -> 2724
Job 5 Operation 8 on Machine 7 : 2647 + 391 -> 3038
Job 6 Operation 5 on Machine 13 : 2647 + 443 -> 3090
Job 12 Operation 5 on Machine 8 : 2658 + 88 -> 2746
Job 13 Operation 8 on Machine 11 : 2658 + 468 -> 3126
Job 18 Operation 6 on Machine 6 : 2690 + 270 -> 2960
Job 0 Operation 4 on Machine 9 : 2724 + 335 -> 3059
Job 12 Operation 6 on Machine 4 : 2746 + 358 -> 3104
Job 17 Operation 5 on Machine 3 : 2886 + 68 -> 2954
Job 9 Operation 5 on Machine 1 : 2909 + 74 -> 2983
Job 14 Operation 12 on Machine 10 : 2909 + 287 -> 3196
Job 8 Operation 6 on Machine 6 : 2960 + 278 -> 3238
Job 2 Operation 4 on Machine 7 : 3038 + 440 -> 3478
Job 5 Operation 9 on Machine 8 : 3038 + 152 -> 3190
Job 3 Operation 3 on Machine 3 : 3054 + 53 -> 3107
Job 0 Operation 5 on Machine 0 : 3059 + 85 -> 3144
Job 10 Operation 8 on Machine 9 : 3059 + 234 -> 3293
Job 6 Operation 6 on Machine 2 : 3090 + 126 -> 3216
Job 18 Operation 7 on Machine 3 : 3107 + 314 -> 3421
Job 4 Operation 3 on Machine 11 : 3126 + 293 -> 3419
Job 16 Operation 9 on Machine 0 : 3144 + 25 -> 3169
Job 0 Operation 6 on Machine 4 : 3144 + 243 -> 3387
Job 12 Operation 7 on Machine 0 : 3169 + 180 -> 3349
Job 1 Operation 8 on Machine 8 : 3190 + 430 -> 3620
Job 5 Operation 10 on Machine 14 : 3190 + 172 -> 3362
Job 14 Operation 13 on Machine 13 : 3196 + 455 -> 3651
Job 6 Operation 7 on Machine 1 : 3216 + 231 -> 3447
Job 5 Operation 11 on Machine 12 : 3362 + 135 -> 3497
Job 3 Operation 4 on Machine 14 : 3362 + 128 -> 3490
Job 10 Operation 9 on Machine 4 : 3387 + 1 -> 3388
Job 0 Operation 7 on Machine 5 : 3387 + 309 -> 3696
Job 12 Operation 8 on Machine 3 : 3421 + 435 -> 3856
Job 7 Operation 4 on Machine 1 : 3447 + 394 -> 3841
Job 6 Operation 8 on Machine 9 : 3447 + 125 -> 3572
Job 16 Operation 10 on Machine 7 : 3478 + 418 -> 3896
Job 2 Operation 5 on Machine 11 : 3478 + 180 -> 3658
Job 3 Operation 5 on Machine 6 : 3490 + 361 -> 3851
Job 8 Operation 7 on Machine 9 : 3572 + 258 -> 3830
Job 6 Operation 9 on Machine 14 : 3572 + 412 -> 3984
Job 4 Operation 4 on Machine 13 : 3651 + 318 -> 3969
Job 2 Operation 6 on Machine 8 : 3658 + 77 -> 3735
Job 17 Operation 6 on Machine 11 : 3658 + 138 -> 3796
Job 15 Operation 8 on Machine 8 : 3735 + 304 -> 4039
Job 2 Operation 7 on Machine 12 : 3735 + 183 -> 3918
Job 17 Operation 7 on Machine 4 : 3796 + 124 -> 3920
Job 5 Operation 12 on Machine 11 : 3796 + 446 -> 4242
Job 10 Operation 10 on Machine 1 : 3841 + 253 -> 4094
Job 7 Operation 5 on Machine 9 : 3841 + 248 -> 4089
Job 16 Operation 11 on Machine 6 : 3896 + 360 -> 4256
Job 9 Operation 6 on Machine 7 : 3896 + 272 -> 4168
Job 3 Operation 6 on Machine 12 : 3918 + 386 -> 4304
Job 13 Operation 9 on Machine 13 : 3969 + 408 -> 4377
Job 6 Operation 10 on Machine 10 : 3984 + 113 -> 4097
Job 4 Operation 5 on Machine 14 : 3984 + 148 -> 4132
Job 15 Operation 9 on Machine 4 : 4039 + 285 -> 4324
Job 18 Operation 8 on Machine 9 : 4089 + 130 -> 4219
Job 1 Operation 9 on Machine 1 : 4094 + 114 -> 4208
Job 6 Operation 11 on Machine 0 : 4097 + 318 -> 4415
Job 0 Operation 8 on Machine 14 : 4132 + 293 -> 4425
Job 7 Operation 6 on Machine 7 : 4168 + 333 -> 4501
Job 1 Operation 10 on Machine 3 : 4208 + 325 -> 4533
Job 18 Operation 9 on Machine 8 : 4219 + 127 -> 4346
Job 11 Operation 7 on Machine 11 : 4242 + 280 -> 4522
Job 17 Operation 8 on Machine 6 : 4256 + 424 -> 4680
Job 4 Operation 6 on Machine 12 : 4304 + 203 -> 4507
Job 3 Operation 7 on Machine 4 : 4324 + 43 -> 4367
Job 14 Operation 14 on Machine 8 : 4346 + 447 -> 4793
Job 6 Operation 12 on Machine 4 : 4415 + 137 -> 4552
Job 0 Operation 9 on Machine 1 : 4425 + 170 -> 4595
Job 2 Operation 8 on Machine 14 : 4425 + 126 -> 4551
Job 7 Operation 7 on Machine 2 : 4501 + 301 -> 4802
Job 12 Operation 9 on Machine 7 : 4501 + 293 -> 4794
Job 4 Operation 7 on Machine 5 : 4507 + 417 -> 4924
Job 18 Operation 10 on Machine 11 : 4522 + 212 -> 4734
Job 13 Operation 10 on Machine 3 : 4533 + 428 -> 4961
Job 9 Operation 7 on Machine 14 : 4551 + 344 -> 4895
Job 2 Operation 9 on Machine 1 : 4595 + 379 -> 4974
Job 0 Operation 10 on Machine 10 : 4595 + 23 -> 4618
Job 0 Operation 11 on Machine 12 : 4618 + 199 -> 4817
Job 18 Operation 11 on Machine 4 : 4734 + 281 -> 5015
Job 8 Operation 8 on Machine 11 : 4734 + 374 -> 5108
Job 11 Operation 8 on Machine 8 : 4793 + 73 -> 4866
Job 10 Operation 11 on Machine 7 : 4794 + 251 -> 5045
Job 3 Operation 8 on Machine 2 : 4802 + 110 -> 4912
Job 7 Operation 8 on Machine 12 : 4817 + 220 -> 5037
Job 9 Operation 8 on Machine 13 : 4895 + 89 -> 4984
Job 12 Operation 10 on Machine 14 : 4895 + 17 -> 4912
Job 12 Operation 11 on Machine 6 : 4912 + 471 -> 5383
Job 17 Operation 9 on Machine 14 : 4912 + 384 -> 5296
Job 6 Operation 13 on Machine 5 : 4924 + 66 -> 4990
Job 13 Operation 11 on Machine 9 : 4961 + 213 -> 5174
Job 2 Operation 10 on Machine 10 : 4974 + 8 -> 4982
Job 2 Operation 11 on Machine 0 : 4982 + 354 -> 5336
Job 16 Operation 12 on Machine 10 : 4982 + 125 -> 5107
Job 9 Operation 9 on Machine 8 : 4984 + 369 -> 5353
Job 11 Operation 9 on Machine 13 : 4984 + 36 -> 5020
Job 4 Operation 8 on Machine 4 : 5015 + 151 -> 5166
Job 11 Operation 10 on Machine 2 : 5020 + 25 -> 5045
Job 0 Operation 12 on Machine 13 : 5020 + 350 -> 5370
Job 7 Operation 9 on Machine 5 : 5037 + 259 -> 5296
Job 11 Operation 11 on Machine 3 : 5045 + 171 -> 5216
Job 18 Operation 12 on Machine 7 : 5045 + 458 -> 5503
Job 8 Operation 9 on Machine 2 : 5108 + 115 -> 5223
Job 3 Operation 9 on Machine 11 : 5108 + 243 -> 5351
Job 4 Operation 9 on Machine 1 : 5166 + 76 -> 5242
Job 13 Operation 12 on Machine 12 : 5174 + 99 -> 5273
Job 5 Operation 13 on Machine 3 : 5216 + 163 -> 5379
Job 4 Operation 10 on Machine 9 : 5242 + 265 -> 5507
Job 17 Operation 10 on Machine 2 : 5296 + 338 -> 5634
Job 11 Operation 12 on Machine 5 : 5296 + 123 -> 5419
Job 19 Operation 10 on Machine 14 : 5296 + 244 -> 5540
Job 7 Operation 10 on Machine 0 : 5336 + 250 -> 5586
Job 3 Operation 10 on Machine 1 : 5351 + 84 -> 5435
Job 6 Operation 14 on Machine 11 : 5351 + 448 -> 5799
Job 15 Operation 10 on Machine 6 : 5383 + 194 -> 5577
Job 12 Operation 12 on Machine 12 : 5383 + 195 -> 5578
Job 9 Operation 10 on Machine 5 : 5419 + 181 -> 5600
Job 8 Operation 10 on Machine 1 : 5435 + 246 -> 5681
Job 3 Operation 11 on Machine 8 : 5435 + 100 -> 5535
Job 18 Operation 13 on Machine 13 : 5503 + 119 -> 5622
Job 4 Operation 11 on Machine 3 : 5507 + 285 -> 5792
Job 11 Operation 13 on Machine 9 : 5507 + 429 -> 5936
Job 3 Operation 12 on Machine 7 : 5535 + 137 -> 5672
Job 10 Operation 12 on Machine 8 : 5535 + 181 -> 5716
Job 15 Operation 11 on Machine 14 : 5577 + 181 -> 5758
Job 1 Operation 11 on Machine 0 : 5586 + 267 -> 5853
Job 7 Operation 11 on Machine 6 : 5586 + 235 -> 5821
Job 2 Operation 12 on Machine 5 : 5600 + 100 -> 5700
Job 17 Operation 11 on Machine 13 : 5634 + 219 -> 5853
Job 19 Operation 11 on Machine 7 : 5672 + 141 -> 5813
Job 3 Operation 13 on Machine 10 : 5672 + 218 -> 5890
Job 18 Operation 14 on Machine 5 : 5700 + 404 -> 6104
Job 16 Operation 13 on Machine 14 : 5758 + 399 -> 6157
Job 15 Operation 12 on Machine 3 : 5792 + 114 -> 5906
Job 9 Operation 11 on Machine 11 : 5799 + 239 -> 6038
Job 8 Operation 11 on Machine 7 : 5813 + 397 -> 6210
Job 10 Operation 13 on Machine 0 : 5853 + 24 -> 5877
Job 1 Operation 12 on Machine 2 : 5853 + 26 -> 5879
Job 17 Operation 12 on Machine 8 : 5853 + 67 -> 5920
Job 7 Operation 12 on Machine 13 : 5853 + 383 -> 6236
Job 5 Operation 14 on Machine 0 : 5877 + 133 -> 6010
Job 4 Operation 12 on Machine 2 : 5879 + 307 -> 6186
Job 19 Operation 12 on Machine 10 : 5890 + 99 -> 5989
Job 11 Operation 14 on Machine 12 : 5936 + 103 -> 6039
Job 17 Operation 13 on Machine 10 : 5989 + 82 -> 6071
Job 9 Operation 12 on Machine 3 : 6038 + 260 -> 6298
Job 0 Operation 13 on Machine 11 : 6038 + 81 -> 6119
Job 17 Operation 14 on Machine 1 : 6071 + 387 -> 6458
Job 12 Operation 13 on Machine 5 : 6104 + 78 -> 6182
Job 15 Operation 13 on Machine 11 : 6119 + 249 -> 6368
Job 16 Operation 14 on Machine 12 : 6157 + 142 -> 6299
Job 3 Operation 14 on Machine 5 : 6182 + 47 -> 6229
Job 12 Operation 14 on Machine 10 : 6182 + 259 -> 6441
Job 19 Operation 13 on Machine 2 : 6186 + 346 -> 6532
Job 4 Operation 13 on Machine 8 : 6186 + 367 -> 6553
Job 13 Operation 13 on Machine 7 : 6210 + 198 -> 6408
Job 8 Operation 12 on Machine 5 : 6229 + 365 -> 6594
Job 7 Operation 13 on Machine 4 : 6236 + 402 -> 6638
Job 1 Operation 13 on Machine 13 : 6236 + 33 -> 6269
Job 10 Operation 14 on Machine 13 : 6269 + 117 -> 6386
Job 2 Operation 13 on Machine 3 : 6298 + 234 -> 6532
Job 9 Operation 13 on Machine 6 : 6298 + 246 -> 6544
Job 0 Operation 14 on Machine 7 : 6408 + 173 -> 6581
Job 13 Operation 14 on Machine 10 : 6441 + 471 -> 6912
Job 15 Operation 14 on Machine 1 : 6458 + 311 -> 6769
Job 19 Operation 14 on Machine 9 : 6532 + 374 -> 6906
Job 9 Operation 14 on Machine 2 : 6544 + 206 -> 6750
Job 4 Operation 14 on Machine 0 : 6553 + 348 -> 6901
Job 1 Operation 14 on Machine 5 : 6594 + 318 -> 6912
Job 8 Operation 13 on Machine 12 : 6594 + 266 -> 6860
Job 2 Operation 14 on Machine 4 : 6638 + 274 -> 6912
Job 7 Operation 14 on Machine 11 : 6638 + 226 -> 6864
Job 8 Operation 14 on Machine 10 : 6912 + 1 -> 6913
Makespan: 6913.0, as it is the maximum end completion time of Operation 14 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 146 mins.
Operation 1 on Machine 4 duration 346 mins.
Operation 2 on Machine 5 duration 325 mins.
Operation 3 on Machine 7 duration 39 mins.
Operation 4 on Machine 2 duration 155 mins.
Operation 5 on Machine 0 duration 9 mins.
Operation 6 on Machine 1 duration 314 mins.
Operation 7 on Machine 6 duration 278 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 18 mins.
Operation 1 on Machine 6 duration 62 mins.
Operation 2 on Machine 5 duration 317 mins.
Operation 3 on Machine 7 duration 231 mins.
Operation 4 on Machine 0 duration 256 mins.
Operation 5 on Machine 3 duration 170 mins.
Operation 6 on Machine 2 duration 169 mins.
Operation 7 on Machine 1 duration 96 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 299 mins.
Operation 1 on Machine 2 duration 90 mins.
Operation 2 on Machine 1 duration 172 mins.
Operation 3 on Machine 3 duration 138 mins.
Operation 4 on Machine 7 duration 98 mins.
Operation 5 on Machine 6 duration 93 mins.
Operation 6 on Machine 5 duration 301 mins.
Operation 7 on Machine 0 duration 267 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 77 mins.
Operation 1 on Machine 0 duration 94 mins.
Operation 2 on Machine 4 duration 304 mins.
Operation 3 on Machine 6 duration 131 mins.
Operation 4 on Machine 3 duration 148 mins.
Operation 5 on Machine 1 duration 286 mins.
Operation 6 on Machine 7 duration 191 mins.
Operation 7 on Machine 2 duration 57 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 341 mins.
Operation 1 on Machine 5 duration 220 mins.
Operation 2 on Machine 4 duration 76 mins.
Operation 3 on Machine 6 duration 73 mins.
Operation 4 on Machine 1 duration 282 mins.
Operation 5 on Machine 7 duration 78 mins.
Operation 6 on Machine 0 duration 97 mins.
Operation 7 on Machine 2 duration 156 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 48 mins.
Operation 1 on Machine 4 duration 13 mins.
Operation 2 on Machine 0 duration 305 mins.
Operation 3 on Machine 5 duration 144 mins.
Operation 4 on Machine 7 duration 105 mins.
Operation 5 on Machine 3 duration 228 mins.
Operation 6 on Machine 1 duration 326 mins.
Operation 7 on Machine 6 duration 10 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 42 mins.
Operation 1 on Machine 6 duration 10 mins.
Operation 2 on Machine 0 duration 129 mins.
Operation 3 on Machine 7 duration 73 mins.
Operation 4 on Machine 1 duration 3 mins.
Operation 5 on Machine 5 duration 331 mins.
Operation 6 on Machine 4 duration 233 mins.
Operation 7 on Machine 3 duration 257 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 117 mins.
Operation 1 on Machine 2 duration 198 mins.
Operation 2 on Machine 4 duration 136 mins.
Operation 3 on Machine 1 duration 196 mins.
Operation 4 on Machine 6 duration 102 mins.
Operation 5 on Machine 7 duration 246 mins.
Operation 6 on Machine 0 duration 49 mins.
Operation 7 on Machine 5 duration 22 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 245 mins.
Operation 1 on Machine 4 duration 326 mins.
Operation 2 on Machine 7 duration 144 mins.
Operation 3 on Machine 5 duration 337 mins.
Operation 4 on Machine 1 duration 350 mins.
Operation 5 on Machine 2 duration 334 mins.
Operation 6 on Machine 0 duration 146 mins.
Operation 7 on Machine 6 duration 13 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 150 mins.
Operation 1 on Machine 7 duration 32 mins.
Operation 2 on Machine 5 duration 83 mins.
Operation 3 on Machine 0 duration 334 mins.
Operation 4 on Machine 4 duration 46 mins.
Operation 5 on Machine 2 duration 113 mins.
Operation 6 on Machine 3 duration 91 mins.
Operation 7 on Machine 6 duration 100 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 94 mins.
Job 5 Operation 2 duration 305 mins.
Job 6 Operation 2 duration 129 mins.
Job 9 Operation 3 duration 334 mins.
Job 1 Operation 4 duration 256 mins.
Job 0 Operation 5 duration 9 mins.
Job 4 Operation 6 duration 97 mins.
Job 7 Operation 6 duration 49 mins.
Job 8 Operation 6 duration 146 mins.
Job 2 Operation 7 duration 267 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 0 duration 150 mins.
Job 2 Operation 2 duration 172 mins.
Job 7 Operation 3 duration 196 mins.
Job 4 Operation 4 duration 282 mins.
Job 6 Operation 4 duration 3 mins.
Job 8 Operation 4 duration 350 mins.
Job 3 Operation 5 duration 286 mins.
Job 0 Operation 6 duration 314 mins.
Job 5 Operation 6 duration 326 mins.
Job 1 Operation 7 duration 96 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 48 mins.
Job 6 Operation 0 duration 42 mins.
Job 2 Operation 1 duration 90 mins.
Job 7 Operation 1 duration 198 mins.
Job 0 Operation 4 duration 155 mins.
Job 8 Operation 5 duration 334 mins.
Job 9 Operation 5 duration 113 mins.
Job 1 Operation 6 duration 169 mins.
Job 3 Operation 7 duration 57 mins.
Job 4 Operation 7 duration 156 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 146 mins.
Job 4 Operation 0 duration 341 mins.
Job 7 Operation 0 duration 117 mins.
Job 8 Operation 0 duration 245 mins.
Job 2 Operation 3 duration 138 mins.
Job 3 Operation 4 duration 148 mins.
Job 1 Operation 5 duration 170 mins.
Job 5 Operation 5 duration 228 mins.
Job 9 Operation 6 duration 91 mins.
Job 6 Operation 7 duration 257 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 18 mins.
Job 2 Operation 0 duration 299 mins.
Job 0 Operation 1 duration 346 mins.
Job 5 Operation 1 duration 13 mins.
Job 8 Operation 1 duration 326 mins.
Job 3 Operation 2 duration 304 mins.
Job 4 Operation 2 duration 76 mins.
Job 7 Operation 2 duration 136 mins.
Job 9 Operation 4 duration 46 mins.
Job 6 Operation 6 duration 233 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 77 mins.
Job 4 Operation 1 duration 220 mins.
Job 0 Operation 2 duration 325 mins.
Job 1 Operation 2 duration 317 mins.
Job 9 Operation 2 duration 83 mins.
Job 5 Operation 3 duration 144 mins.
Job 8 Operation 3 duration 337 mins.
Job 6 Operation 5 duration 331 mins.
Job 2 Operation 6 duration 301 mins.
Job 7 Operation 7 duration 22 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 1 duration 62 mins.
Job 6 Operation 1 duration 10 mins.
Job 3 Operation 3 duration 131 mins.
Job 4 Operation 3 duration 73 mins.
Job 7 Operation 4 duration 102 mins.
Job 2 Operation 5 duration 93 mins.
Job 0 Operation 7 duration 278 mins.
Job 5 Operation 7 duration 10 mins.
Job 8 Operation 7 duration 13 mins.
Job 9 Operation 7 duration 100 mins.
Machine 7 is used for the following Operations:
Job 9 Operation 1 duration 32 mins.
Job 8 Operation 2 duration 144 mins.
Job 0 Operation 3 duration 39 mins.
Job 1 Operation 3 duration 231 mins.
Job 6 Operation 3 duration 73 mins.
Job 2 Operation 4 duration 98 mins.
Job 5 Operation 4 duration 105 mins.
Job 4 Operation 5 duration 78 mins.
Job 7 Operation 5 duration 246 mins.
Job 3 Operation 6 duration 191 mins.
| Solution:
Job 9 Operation 0 on Machine 1 : 0 + 150 -> 150
Job 6 Operation 0 on Machine 2 : 0 + 42 -> 42
Job 4 Operation 0 on Machine 3 : 0 + 341 -> 341
Job 1 Operation 0 on Machine 4 : 0 + 18 -> 18
Job 3 Operation 0 on Machine 5 : 0 + 77 -> 77
Job 2 Operation 0 on Machine 4 : 18 + 299 -> 317
Job 1 Operation 1 on Machine 6 : 18 + 62 -> 80
Job 5 Operation 0 on Machine 2 : 42 + 48 -> 90
Job 3 Operation 1 on Machine 0 : 77 + 94 -> 171
Job 1 Operation 2 on Machine 5 : 80 + 317 -> 397
Job 6 Operation 1 on Machine 6 : 80 + 10 -> 90
Job 9 Operation 1 on Machine 7 : 150 + 32 -> 182
Job 6 Operation 2 on Machine 0 : 171 + 129 -> 300
Job 6 Operation 3 on Machine 7 : 300 + 73 -> 373
Job 2 Operation 1 on Machine 2 : 317 + 90 -> 407
Job 3 Operation 2 on Machine 4 : 317 + 304 -> 621
Job 8 Operation 0 on Machine 3 : 341 + 245 -> 586
Job 6 Operation 4 on Machine 1 : 373 + 3 -> 376
Job 4 Operation 1 on Machine 5 : 397 + 220 -> 617
Job 1 Operation 3 on Machine 7 : 397 + 231 -> 628
Job 2 Operation 2 on Machine 1 : 407 + 172 -> 579
Job 7 Operation 0 on Machine 3 : 586 + 117 -> 703
Job 9 Operation 2 on Machine 5 : 617 + 83 -> 700
Job 4 Operation 2 on Machine 4 : 621 + 76 -> 697
Job 5 Operation 1 on Machine 4 : 697 + 13 -> 710
Job 4 Operation 3 on Machine 6 : 697 + 73 -> 770
Job 6 Operation 5 on Machine 5 : 700 + 331 -> 1031
Job 7 Operation 1 on Machine 2 : 703 + 198 -> 901
Job 0 Operation 0 on Machine 3 : 703 + 146 -> 849
Job 5 Operation 2 on Machine 0 : 710 + 305 -> 1015
Job 8 Operation 1 on Machine 4 : 710 + 326 -> 1036
Job 4 Operation 4 on Machine 1 : 770 + 282 -> 1052
Job 3 Operation 3 on Machine 6 : 770 + 131 -> 901
Job 3 Operation 4 on Machine 3 : 901 + 148 -> 1049
Job 1 Operation 4 on Machine 0 : 1015 + 256 -> 1271
Job 5 Operation 3 on Machine 5 : 1031 + 144 -> 1175
Job 7 Operation 2 on Machine 4 : 1036 + 136 -> 1172
Job 8 Operation 2 on Machine 7 : 1036 + 144 -> 1180
Job 2 Operation 3 on Machine 3 : 1049 + 138 -> 1187
Job 3 Operation 5 on Machine 1 : 1052 + 286 -> 1338
Job 0 Operation 1 on Machine 4 : 1172 + 346 -> 1518
Job 8 Operation 3 on Machine 5 : 1180 + 337 -> 1517
Job 2 Operation 4 on Machine 7 : 1187 + 98 -> 1285
Job 9 Operation 3 on Machine 0 : 1271 + 334 -> 1605
Job 1 Operation 5 on Machine 3 : 1271 + 170 -> 1441
Job 2 Operation 5 on Machine 6 : 1285 + 93 -> 1378
Job 7 Operation 3 on Machine 1 : 1338 + 196 -> 1534
Job 3 Operation 6 on Machine 7 : 1338 + 191 -> 1529
Job 0 Operation 2 on Machine 5 : 1518 + 325 -> 1843
Job 3 Operation 7 on Machine 2 : 1529 + 57 -> 1586
Job 5 Operation 4 on Machine 7 : 1529 + 105 -> 1634
Job 8 Operation 4 on Machine 1 : 1534 + 350 -> 1884
Job 7 Operation 4 on Machine 6 : 1534 + 102 -> 1636
Job 1 Operation 6 on Machine 2 : 1586 + 169 -> 1755
Job 9 Operation 4 on Machine 4 : 1605 + 46 -> 1651
Job 5 Operation 5 on Machine 3 : 1634 + 228 -> 1862
Job 4 Operation 5 on Machine 7 : 1634 + 78 -> 1712
Job 6 Operation 6 on Machine 4 : 1651 + 233 -> 1884
Job 4 Operation 6 on Machine 0 : 1712 + 97 -> 1809
Job 9 Operation 5 on Machine 2 : 1755 + 113 -> 1868
Job 2 Operation 6 on Machine 5 : 1843 + 301 -> 2144
Job 0 Operation 3 on Machine 7 : 1843 + 39 -> 1882
Job 0 Operation 4 on Machine 2 : 1882 + 155 -> 2037
Job 7 Operation 5 on Machine 7 : 1882 + 246 -> 2128
Job 1 Operation 7 on Machine 1 : 1884 + 96 -> 1980
Job 6 Operation 7 on Machine 3 : 1884 + 257 -> 2141
Job 0 Operation 5 on Machine 0 : 2037 + 9 -> 2046
Job 8 Operation 5 on Machine 2 : 2037 + 334 -> 2371
Job 0 Operation 6 on Machine 1 : 2046 + 314 -> 2360
Job 9 Operation 6 on Machine 3 : 2141 + 91 -> 2232
Job 2 Operation 7 on Machine 0 : 2144 + 267 -> 2411
Job 9 Operation 7 on Machine 6 : 2232 + 100 -> 2332
Job 5 Operation 6 on Machine 1 : 2360 + 326 -> 2686
Job 0 Operation 7 on Machine 6 : 2360 + 278 -> 2638
Job 4 Operation 7 on Machine 2 : 2371 + 156 -> 2527
Job 8 Operation 6 on Machine 0 : 2411 + 146 -> 2557
Job 7 Operation 6 on Machine 0 : 2557 + 49 -> 2606
Job 7 Operation 7 on Machine 5 : 2606 + 22 -> 2628
Job 8 Operation 7 on Machine 6 : 2638 + 13 -> 2651
Job 5 Operation 7 on Machine 6 : 2686 + 10 -> 2696
Makespan: 2696.0, as it is the maximum end completion time of Operation 7 |
7 | 6 | Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 91 mins.
Operation 1 on Machine 4 duration 205 mins.
Operation 2 on Machine 3 duration 155 mins.
Operation 3 on Machine 0 duration 31 mins.
Operation 4 on Machine 1 duration 139 mins.
Operation 5 on Machine 2 duration 83 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 198 mins.
Operation 1 on Machine 4 duration 155 mins.
Operation 2 on Machine 3 duration 145 mins.
Operation 3 on Machine 0 duration 90 mins.
Operation 4 on Machine 5 duration 7 mins.
Operation 5 on Machine 2 duration 217 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 229 mins.
Operation 1 on Machine 3 duration 46 mins.
Operation 2 on Machine 1 duration 180 mins.
Operation 3 on Machine 4 duration 248 mins.
Operation 4 on Machine 5 duration 211 mins.
Operation 5 on Machine 0 duration 69 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 156 mins.
Operation 1 on Machine 3 duration 223 mins.
Operation 2 on Machine 1 duration 133 mins.
Operation 3 on Machine 5 duration 265 mins.
Operation 4 on Machine 0 duration 42 mins.
Operation 5 on Machine 4 duration 238 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 124 mins.
Operation 1 on Machine 2 duration 29 mins.
Operation 2 on Machine 1 duration 239 mins.
Operation 3 on Machine 4 duration 210 mins.
Operation 4 on Machine 5 duration 68 mins.
Operation 5 on Machine 3 duration 51 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 91 mins.
Operation 1 on Machine 1 duration 158 mins.
Operation 2 on Machine 0 duration 154 mins.
Operation 3 on Machine 5 duration 236 mins.
Operation 4 on Machine 2 duration 199 mins.
Operation 5 on Machine 4 duration 170 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 130 mins.
Operation 1 on Machine 4 duration 100 mins.
Operation 2 on Machine 0 duration 200 mins.
Operation 3 on Machine 2 duration 221 mins.
Operation 4 on Machine 1 duration 189 mins.
Operation 5 on Machine 5 duration 142 mins.
| Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 124 mins.
Job 5 Operation 2 duration 154 mins.
Job 6 Operation 2 duration 200 mins.
Job 0 Operation 3 duration 31 mins.
Job 1 Operation 3 duration 90 mins.
Job 3 Operation 4 duration 42 mins.
Job 2 Operation 5 duration 69 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 198 mins.
Job 5 Operation 1 duration 158 mins.
Job 2 Operation 2 duration 180 mins.
Job 3 Operation 2 duration 133 mins.
Job 4 Operation 2 duration 239 mins.
Job 0 Operation 4 duration 139 mins.
Job 6 Operation 4 duration 189 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 229 mins.
Job 3 Operation 0 duration 156 mins.
Job 4 Operation 1 duration 29 mins.
Job 6 Operation 3 duration 221 mins.
Job 5 Operation 4 duration 199 mins.
Job 0 Operation 5 duration 83 mins.
Job 1 Operation 5 duration 217 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 91 mins.
Job 6 Operation 0 duration 130 mins.
Job 2 Operation 1 duration 46 mins.
Job 3 Operation 1 duration 223 mins.
Job 0 Operation 2 duration 155 mins.
Job 1 Operation 2 duration 145 mins.
Job 4 Operation 5 duration 51 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 205 mins.
Job 1 Operation 1 duration 155 mins.
Job 6 Operation 1 duration 100 mins.
Job 2 Operation 3 duration 248 mins.
Job 4 Operation 3 duration 210 mins.
Job 3 Operation 5 duration 238 mins.
Job 5 Operation 5 duration 170 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 91 mins.
Job 3 Operation 3 duration 265 mins.
Job 5 Operation 3 duration 236 mins.
Job 1 Operation 4 duration 7 mins.
Job 2 Operation 4 duration 211 mins.
Job 4 Operation 4 duration 68 mins.
Job 6 Operation 5 duration 142 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 124 -> 124
Job 2 Operation 0 on Machine 2 : 0 + 229 -> 229
Job 5 Operation 0 on Machine 3 : 0 + 91 -> 91
Job 0 Operation 0 on Machine 5 : 0 + 91 -> 91
Job 5 Operation 1 on Machine 1 : 91 + 158 -> 249
Job 6 Operation 0 on Machine 3 : 91 + 130 -> 221
Job 0 Operation 1 on Machine 4 : 91 + 205 -> 296
Job 4 Operation 1 on Machine 2 : 229 + 29 -> 258
Job 2 Operation 1 on Machine 3 : 229 + 46 -> 275
Job 5 Operation 2 on Machine 0 : 249 + 154 -> 403
Job 3 Operation 0 on Machine 2 : 258 + 156 -> 414
Job 2 Operation 2 on Machine 1 : 275 + 180 -> 455
Job 6 Operation 1 on Machine 4 : 296 + 100 -> 396
Job 6 Operation 2 on Machine 0 : 403 + 200 -> 603
Job 5 Operation 3 on Machine 5 : 403 + 236 -> 639
Job 3 Operation 1 on Machine 3 : 414 + 223 -> 637
Job 1 Operation 0 on Machine 1 : 455 + 198 -> 653
Job 2 Operation 3 on Machine 4 : 455 + 248 -> 703
Job 0 Operation 2 on Machine 3 : 637 + 155 -> 792
Job 5 Operation 4 on Machine 2 : 639 + 199 -> 838
Job 3 Operation 2 on Machine 1 : 653 + 133 -> 786
Job 1 Operation 1 on Machine 4 : 703 + 155 -> 858
Job 2 Operation 4 on Machine 5 : 703 + 211 -> 914
Job 4 Operation 2 on Machine 1 : 786 + 239 -> 1025
Job 0 Operation 3 on Machine 0 : 792 + 31 -> 823
Job 6 Operation 3 on Machine 2 : 838 + 221 -> 1059
Job 1 Operation 2 on Machine 3 : 858 + 145 -> 1003
Job 5 Operation 5 on Machine 4 : 858 + 170 -> 1028
Job 3 Operation 3 on Machine 5 : 914 + 265 -> 1179
Job 1 Operation 3 on Machine 0 : 1003 + 90 -> 1093
Job 4 Operation 3 on Machine 4 : 1028 + 210 -> 1238
Job 6 Operation 4 on Machine 1 : 1059 + 189 -> 1248
Job 3 Operation 4 on Machine 0 : 1179 + 42 -> 1221
Job 1 Operation 4 on Machine 5 : 1179 + 7 -> 1186
Job 1 Operation 5 on Machine 2 : 1186 + 217 -> 1403
Job 2 Operation 5 on Machine 0 : 1221 + 69 -> 1290
Job 3 Operation 5 on Machine 4 : 1238 + 238 -> 1476
Job 4 Operation 4 on Machine 5 : 1238 + 68 -> 1306
Job 0 Operation 4 on Machine 1 : 1248 + 139 -> 1387
Job 4 Operation 5 on Machine 3 : 1306 + 51 -> 1357
Job 6 Operation 5 on Machine 5 : 1306 + 142 -> 1448
Job 0 Operation 5 on Machine 2 : 1403 + 83 -> 1486
Makespan: 1486.0, as it is the maximum end completion time of Operation 5 |
10 | 6 | Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 101 mins.
Operation 1 on Machine 5 duration 26 mins.
Operation 2 on Machine 1 duration 95 mins.
Operation 3 on Machine 4 duration 149 mins.
Operation 4 on Machine 2 duration 75 mins.
Operation 5 on Machine 3 duration 103 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 153 mins.
Operation 1 on Machine 2 duration 56 mins.
Operation 2 on Machine 4 duration 84 mins.
Operation 3 on Machine 5 duration 140 mins.
Operation 4 on Machine 1 duration 93 mins.
Operation 5 on Machine 0 duration 180 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 162 mins.
Operation 1 on Machine 4 duration 177 mins.
Operation 2 on Machine 5 duration 38 mins.
Operation 3 on Machine 3 duration 19 mins.
Operation 4 on Machine 1 duration 89 mins.
Operation 5 on Machine 0 duration 138 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 17 mins.
Operation 1 on Machine 4 duration 149 mins.
Operation 2 on Machine 1 duration 58 mins.
Operation 3 on Machine 2 duration 34 mins.
Operation 4 on Machine 3 duration 107 mins.
Operation 5 on Machine 5 duration 55 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 124 mins.
Operation 1 on Machine 4 duration 97 mins.
Operation 2 on Machine 3 duration 178 mins.
Operation 3 on Machine 2 duration 174 mins.
Operation 4 on Machine 5 duration 164 mins.
Operation 5 on Machine 0 duration 98 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 3 duration 49 mins.
Operation 2 on Machine 4 duration 108 mins.
Operation 3 on Machine 2 duration 137 mins.
Operation 4 on Machine 5 duration 117 mins.
Operation 5 on Machine 1 duration 120 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 124 mins.
Operation 1 on Machine 5 duration 72 mins.
Operation 2 on Machine 3 duration 118 mins.
Operation 3 on Machine 0 duration 166 mins.
Operation 4 on Machine 2 duration 149 mins.
Operation 5 on Machine 1 duration 6 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 6 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 1 duration 28 mins.
Operation 3 on Machine 5 duration 102 mins.
Operation 4 on Machine 0 duration 127 mins.
Operation 5 on Machine 3 duration 72 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 177 mins.
Operation 1 on Machine 0 duration 111 mins.
Operation 2 on Machine 5 duration 123 mins.
Operation 3 on Machine 3 duration 115 mins.
Operation 4 on Machine 1 duration 59 mins.
Operation 5 on Machine 2 duration 174 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 23 mins.
Operation 1 on Machine 2 duration 12 mins.
Operation 2 on Machine 1 duration 10 mins.
Operation 3 on Machine 5 duration 65 mins.
Operation 4 on Machine 0 duration 157 mins.
Operation 5 on Machine 4 duration 28 mins.
| Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 101 mins.
Job 3 Operation 0 duration 17 mins.
Job 5 Operation 0 duration 12 mins.
Job 8 Operation 1 duration 111 mins.
Job 6 Operation 3 duration 166 mins.
Job 7 Operation 4 duration 127 mins.
Job 9 Operation 4 duration 157 mins.
Job 1 Operation 5 duration 180 mins.
Job 2 Operation 5 duration 138 mins.
Job 4 Operation 5 duration 98 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 124 mins.
Job 0 Operation 2 duration 95 mins.
Job 3 Operation 2 duration 58 mins.
Job 7 Operation 2 duration 28 mins.
Job 9 Operation 2 duration 10 mins.
Job 1 Operation 4 duration 93 mins.
Job 2 Operation 4 duration 89 mins.
Job 8 Operation 4 duration 59 mins.
Job 5 Operation 5 duration 120 mins.
Job 6 Operation 5 duration 6 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 162 mins.
Job 1 Operation 1 duration 56 mins.
Job 7 Operation 1 duration 88 mins.
Job 9 Operation 1 duration 12 mins.
Job 3 Operation 3 duration 34 mins.
Job 4 Operation 3 duration 174 mins.
Job 5 Operation 3 duration 137 mins.
Job 0 Operation 4 duration 75 mins.
Job 6 Operation 4 duration 149 mins.
Job 8 Operation 5 duration 174 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 153 mins.
Job 9 Operation 0 duration 23 mins.
Job 5 Operation 1 duration 49 mins.
Job 4 Operation 2 duration 178 mins.
Job 6 Operation 2 duration 118 mins.
Job 2 Operation 3 duration 19 mins.
Job 8 Operation 3 duration 115 mins.
Job 3 Operation 4 duration 107 mins.
Job 0 Operation 5 duration 103 mins.
Job 7 Operation 5 duration 72 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 124 mins.
Job 7 Operation 0 duration 6 mins.
Job 8 Operation 0 duration 177 mins.
Job 2 Operation 1 duration 177 mins.
Job 3 Operation 1 duration 149 mins.
Job 4 Operation 1 duration 97 mins.
Job 1 Operation 2 duration 84 mins.
Job 5 Operation 2 duration 108 mins.
Job 0 Operation 3 duration 149 mins.
Job 9 Operation 5 duration 28 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 1 duration 26 mins.
Job 6 Operation 1 duration 72 mins.
Job 2 Operation 2 duration 38 mins.
Job 8 Operation 2 duration 123 mins.
Job 1 Operation 3 duration 140 mins.
Job 7 Operation 3 duration 102 mins.
Job 9 Operation 3 duration 65 mins.
Job 4 Operation 4 duration 164 mins.
Job 5 Operation 4 duration 117 mins.
Job 3 Operation 5 duration 55 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 101 -> 101
Job 4 Operation 0 on Machine 1 : 0 + 124 -> 124
Job 1 Operation 0 on Machine 3 : 0 + 153 -> 153
Job 7 Operation 0 on Machine 4 : 0 + 6 -> 6
Job 7 Operation 1 on Machine 2 : 6 + 88 -> 94
Job 6 Operation 0 on Machine 4 : 6 + 124 -> 130
Job 3 Operation 0 on Machine 0 : 101 + 17 -> 118
Job 5 Operation 0 on Machine 0 : 118 + 12 -> 130
Job 4 Operation 1 on Machine 4 : 130 + 97 -> 227
Job 6 Operation 1 on Machine 5 : 130 + 72 -> 202
Job 1 Operation 1 on Machine 2 : 153 + 56 -> 209
Job 9 Operation 0 on Machine 3 : 153 + 23 -> 176
Job 5 Operation 1 on Machine 3 : 176 + 49 -> 225
Job 0 Operation 1 on Machine 5 : 202 + 26 -> 228
Job 9 Operation 1 on Machine 2 : 209 + 12 -> 221
Job 9 Operation 2 on Machine 1 : 221 + 10 -> 231
Job 2 Operation 0 on Machine 2 : 221 + 162 -> 383
Job 4 Operation 2 on Machine 3 : 227 + 178 -> 405
Job 8 Operation 0 on Machine 4 : 227 + 177 -> 404
Job 0 Operation 2 on Machine 1 : 231 + 95 -> 326
Job 9 Operation 3 on Machine 5 : 231 + 65 -> 296
Job 9 Operation 4 on Machine 0 : 296 + 157 -> 453
Job 7 Operation 2 on Machine 1 : 326 + 28 -> 354
Job 7 Operation 3 on Machine 5 : 354 + 102 -> 456
Job 1 Operation 2 on Machine 4 : 404 + 84 -> 488
Job 4 Operation 3 on Machine 2 : 405 + 174 -> 579
Job 6 Operation 2 on Machine 3 : 405 + 118 -> 523
Job 8 Operation 1 on Machine 0 : 453 + 111 -> 564
Job 5 Operation 2 on Machine 4 : 488 + 108 -> 596
Job 1 Operation 3 on Machine 5 : 488 + 140 -> 628
Job 6 Operation 3 on Machine 0 : 564 + 166 -> 730
Job 5 Operation 3 on Machine 2 : 596 + 137 -> 733
Job 3 Operation 1 on Machine 4 : 596 + 149 -> 745
Job 1 Operation 4 on Machine 1 : 628 + 93 -> 721
Job 8 Operation 2 on Machine 5 : 628 + 123 -> 751
Job 7 Operation 4 on Machine 0 : 730 + 127 -> 857
Job 6 Operation 4 on Machine 2 : 733 + 149 -> 882
Job 3 Operation 2 on Machine 1 : 745 + 58 -> 803
Job 2 Operation 1 on Machine 4 : 745 + 177 -> 922
Job 8 Operation 3 on Machine 3 : 751 + 115 -> 866
Job 4 Operation 4 on Machine 5 : 751 + 164 -> 915
Job 1 Operation 5 on Machine 0 : 857 + 180 -> 1037
Job 8 Operation 4 on Machine 1 : 866 + 59 -> 925
Job 7 Operation 5 on Machine 3 : 866 + 72 -> 938
Job 3 Operation 3 on Machine 2 : 882 + 34 -> 916
Job 0 Operation 3 on Machine 4 : 922 + 149 -> 1071
Job 2 Operation 2 on Machine 5 : 922 + 38 -> 960
Job 8 Operation 5 on Machine 2 : 925 + 174 -> 1099
Job 2 Operation 3 on Machine 3 : 960 + 19 -> 979
Job 5 Operation 4 on Machine 5 : 960 + 117 -> 1077
Job 2 Operation 4 on Machine 1 : 979 + 89 -> 1068
Job 3 Operation 4 on Machine 3 : 979 + 107 -> 1086
Job 4 Operation 5 on Machine 0 : 1037 + 98 -> 1135
Job 6 Operation 5 on Machine 1 : 1068 + 6 -> 1074
Job 9 Operation 5 on Machine 4 : 1071 + 28 -> 1099
Job 5 Operation 5 on Machine 1 : 1077 + 120 -> 1197
Job 3 Operation 5 on Machine 5 : 1086 + 55 -> 1141
Job 0 Operation 4 on Machine 2 : 1099 + 75 -> 1174
Job 2 Operation 5 on Machine 0 : 1135 + 138 -> 1273
Job 0 Operation 5 on Machine 3 : 1174 + 103 -> 1277
Makespan: 1277.0, as it is the maximum end completion time of Operation 5 |
6 | 3 | Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 85 mins.
Operation 1 on Machine 0 duration 60 mins.
Operation 2 on Machine 1 duration 159 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 122 mins.
Operation 1 on Machine 0 duration 96 mins.
Operation 2 on Machine 2 duration 11 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 17 mins.
Operation 1 on Machine 0 duration 54 mins.
Operation 2 on Machine 1 duration 156 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 53 mins.
Operation 1 on Machine 0 duration 125 mins.
Operation 2 on Machine 1 duration 11 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 128 mins.
Operation 1 on Machine 2 duration 107 mins.
Operation 2 on Machine 0 duration 139 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 110 mins.
Operation 1 on Machine 2 duration 134 mins.
Operation 2 on Machine 0 duration 164 mins.
| Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 60 mins.
Job 1 Operation 1 duration 96 mins.
Job 2 Operation 1 duration 54 mins.
Job 3 Operation 1 duration 125 mins.
Job 4 Operation 2 duration 139 mins.
Job 5 Operation 2 duration 164 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 122 mins.
Job 4 Operation 0 duration 128 mins.
Job 5 Operation 0 duration 110 mins.
Job 0 Operation 2 duration 159 mins.
Job 2 Operation 2 duration 156 mins.
Job 3 Operation 2 duration 11 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 85 mins.
Job 2 Operation 0 duration 17 mins.
Job 3 Operation 0 duration 53 mins.
Job 4 Operation 1 duration 107 mins.
Job 5 Operation 1 duration 134 mins.
Job 1 Operation 2 duration 11 mins.
| Solution:
Job 5 Operation 0 on Machine 1 : 0 + 110 -> 110
Job 2 Operation 0 on Machine 2 : 0 + 17 -> 17
Job 2 Operation 1 on Machine 0 : 17 + 54 -> 71
Job 3 Operation 0 on Machine 2 : 17 + 53 -> 70
Job 0 Operation 0 on Machine 2 : 70 + 85 -> 155
Job 3 Operation 1 on Machine 0 : 71 + 125 -> 196
Job 1 Operation 0 on Machine 1 : 110 + 122 -> 232
Job 5 Operation 1 on Machine 2 : 155 + 134 -> 289
Job 0 Operation 1 on Machine 0 : 196 + 60 -> 256
Job 3 Operation 2 on Machine 1 : 232 + 11 -> 243
Job 4 Operation 0 on Machine 1 : 243 + 128 -> 371
Job 1 Operation 1 on Machine 0 : 256 + 96 -> 352
Job 5 Operation 2 on Machine 0 : 352 + 164 -> 516
Job 1 Operation 2 on Machine 2 : 352 + 11 -> 363
Job 2 Operation 2 on Machine 1 : 371 + 156 -> 527
Job 4 Operation 1 on Machine 2 : 371 + 107 -> 478
Job 4 Operation 2 on Machine 0 : 516 + 139 -> 655
Job 0 Operation 2 on Machine 1 : 527 + 159 -> 686
Makespan: 686.0, as it is the maximum end completion time of Operation 2 |
8 | 2 | Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 311 mins.
Operation 1 on Machine 1 duration 357 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 206 mins.
Operation 1 on Machine 0 duration 28 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 216 mins.
Operation 1 on Machine 1 duration 298 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 69 mins.
Operation 1 on Machine 1 duration 269 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 118 mins.
Operation 1 on Machine 0 duration 275 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 277 mins.
Operation 1 on Machine 1 duration 406 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 229 mins.
Operation 1 on Machine 1 duration 340 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 235 mins.
Operation 1 on Machine 1 duration 125 mins.
| Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 311 mins.
Job 2 Operation 0 duration 216 mins.
Job 3 Operation 0 duration 69 mins.
Job 5 Operation 0 duration 277 mins.
Job 6 Operation 0 duration 229 mins.
Job 7 Operation 0 duration 235 mins.
Job 1 Operation 1 duration 28 mins.
Job 4 Operation 1 duration 275 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 206 mins.
Job 4 Operation 0 duration 118 mins.
Job 0 Operation 1 duration 357 mins.
Job 2 Operation 1 duration 298 mins.
Job 3 Operation 1 duration 269 mins.
Job 5 Operation 1 duration 406 mins.
Job 6 Operation 1 duration 340 mins.
Job 7 Operation 1 duration 125 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 69 -> 69
Job 4 Operation 0 on Machine 1 : 0 + 118 -> 118
Job 2 Operation 0 on Machine 0 : 69 + 216 -> 285
Job 1 Operation 0 on Machine 1 : 118 + 206 -> 324
Job 6 Operation 0 on Machine 0 : 285 + 229 -> 514
Job 3 Operation 1 on Machine 1 : 324 + 269 -> 593
Job 1 Operation 1 on Machine 0 : 514 + 28 -> 542
Job 7 Operation 0 on Machine 0 : 542 + 235 -> 777
Job 2 Operation 1 on Machine 1 : 593 + 298 -> 891
Job 4 Operation 1 on Machine 0 : 777 + 275 -> 1052
Job 7 Operation 1 on Machine 1 : 891 + 125 -> 1016
Job 6 Operation 1 on Machine 1 : 1016 + 340 -> 1356
Job 5 Operation 0 on Machine 0 : 1052 + 277 -> 1329
Job 0 Operation 0 on Machine 0 : 1329 + 311 -> 1640
Job 5 Operation 1 on Machine 1 : 1356 + 406 -> 1762
Job 0 Operation 1 on Machine 1 : 1762 + 357 -> 2119
Makespan: 2119.0, as it is the maximum end completion time of Operation 1 |
10 | 7 | Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 70 mins.
Operation 1 on Machine 0 duration 159 mins.
Operation 2 on Machine 4 duration 324 mins.
Operation 3 on Machine 6 duration 407 mins.
Operation 4 on Machine 5 duration 333 mins.
Operation 5 on Machine 1 duration 269 mins.
Operation 6 on Machine 2 duration 48 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 201 mins.
Operation 1 on Machine 3 duration 382 mins.
Operation 2 on Machine 5 duration 161 mins.
Operation 3 on Machine 2 duration 432 mins.
Operation 4 on Machine 0 duration 309 mins.
Operation 5 on Machine 4 duration 125 mins.
Operation 6 on Machine 6 duration 220 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 349 mins.
Operation 1 on Machine 4 duration 82 mins.
Operation 2 on Machine 6 duration 293 mins.
Operation 3 on Machine 2 duration 185 mins.
Operation 4 on Machine 5 duration 107 mins.
Operation 5 on Machine 3 duration 374 mins.
Operation 6 on Machine 1 duration 296 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 423 mins.
Operation 1 on Machine 2 duration 232 mins.
Operation 2 on Machine 3 duration 64 mins.
Operation 3 on Machine 0 duration 314 mins.
Operation 4 on Machine 6 duration 92 mins.
Operation 5 on Machine 4 duration 40 mins.
Operation 6 on Machine 1 duration 117 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 240 mins.
Operation 1 on Machine 1 duration 229 mins.
Operation 2 on Machine 2 duration 418 mins.
Operation 3 on Machine 6 duration 331 mins.
Operation 4 on Machine 4 duration 294 mins.
Operation 5 on Machine 5 duration 230 mins.
Operation 6 on Machine 3 duration 250 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 235 mins.
Operation 1 on Machine 4 duration 10 mins.
Operation 2 on Machine 6 duration 344 mins.
Operation 3 on Machine 1 duration 49 mins.
Operation 4 on Machine 0 duration 312 mins.
Operation 5 on Machine 5 duration 63 mins.
Operation 6 on Machine 3 duration 213 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 129 mins.
Operation 1 on Machine 5 duration 33 mins.
Operation 2 on Machine 0 duration 308 mins.
Operation 3 on Machine 6 duration 355 mins.
Operation 4 on Machine 2 duration 14 mins.
Operation 5 on Machine 1 duration 277 mins.
Operation 6 on Machine 3 duration 312 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 244 mins.
Operation 1 on Machine 4 duration 94 mins.
Operation 2 on Machine 5 duration 180 mins.
Operation 3 on Machine 1 duration 195 mins.
Operation 4 on Machine 0 duration 316 mins.
Operation 5 on Machine 6 duration 264 mins.
Operation 6 on Machine 2 duration 187 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 425 mins.
Operation 1 on Machine 6 duration 249 mins.
Operation 2 on Machine 1 duration 427 mins.
Operation 3 on Machine 0 duration 179 mins.
Operation 4 on Machine 4 duration 72 mins.
Operation 5 on Machine 2 duration 354 mins.
Operation 6 on Machine 3 duration 109 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 78 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 2 duration 390 mins.
Operation 3 on Machine 3 duration 291 mins.
Operation 4 on Machine 5 duration 370 mins.
Operation 5 on Machine 6 duration 238 mins.
Operation 6 on Machine 4 duration 271 mins.
| Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 349 mins.
Job 4 Operation 0 duration 240 mins.
Job 9 Operation 0 duration 78 mins.
Job 0 Operation 1 duration 159 mins.
Job 6 Operation 2 duration 308 mins.
Job 3 Operation 3 duration 314 mins.
Job 8 Operation 3 duration 179 mins.
Job 1 Operation 4 duration 309 mins.
Job 5 Operation 4 duration 312 mins.
Job 7 Operation 4 duration 316 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 201 mins.
Job 4 Operation 1 duration 229 mins.
Job 9 Operation 1 duration 12 mins.
Job 8 Operation 2 duration 427 mins.
Job 5 Operation 3 duration 49 mins.
Job 7 Operation 3 duration 195 mins.
Job 0 Operation 5 duration 269 mins.
Job 6 Operation 5 duration 277 mins.
Job 2 Operation 6 duration 296 mins.
Job 3 Operation 6 duration 117 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 235 mins.
Job 3 Operation 1 duration 232 mins.
Job 4 Operation 2 duration 418 mins.
Job 9 Operation 2 duration 390 mins.
Job 1 Operation 3 duration 432 mins.
Job 2 Operation 3 duration 185 mins.
Job 6 Operation 4 duration 14 mins.
Job 8 Operation 5 duration 354 mins.
Job 0 Operation 6 duration 48 mins.
Job 7 Operation 6 duration 187 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 70 mins.
Job 7 Operation 0 duration 244 mins.
Job 1 Operation 1 duration 382 mins.
Job 3 Operation 2 duration 64 mins.
Job 9 Operation 3 duration 291 mins.
Job 2 Operation 5 duration 374 mins.
Job 4 Operation 6 duration 250 mins.
Job 5 Operation 6 duration 213 mins.
Job 6 Operation 6 duration 312 mins.
Job 8 Operation 6 duration 109 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 129 mins.
Job 2 Operation 1 duration 82 mins.
Job 5 Operation 1 duration 10 mins.
Job 7 Operation 1 duration 94 mins.
Job 0 Operation 2 duration 324 mins.
Job 4 Operation 4 duration 294 mins.
Job 8 Operation 4 duration 72 mins.
Job 1 Operation 5 duration 125 mins.
Job 3 Operation 5 duration 40 mins.
Job 9 Operation 6 duration 271 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 423 mins.
Job 8 Operation 0 duration 425 mins.
Job 6 Operation 1 duration 33 mins.
Job 1 Operation 2 duration 161 mins.
Job 7 Operation 2 duration 180 mins.
Job 0 Operation 4 duration 333 mins.
Job 2 Operation 4 duration 107 mins.
Job 9 Operation 4 duration 370 mins.
Job 4 Operation 5 duration 230 mins.
Job 5 Operation 5 duration 63 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 1 duration 249 mins.
Job 2 Operation 2 duration 293 mins.
Job 5 Operation 2 duration 344 mins.
Job 0 Operation 3 duration 407 mins.
Job 4 Operation 3 duration 331 mins.
Job 6 Operation 3 duration 355 mins.
Job 3 Operation 4 duration 92 mins.
Job 7 Operation 5 duration 264 mins.
Job 9 Operation 5 duration 238 mins.
Job 1 Operation 6 duration 220 mins.
| Solution:
Job 9 Operation 0 on Machine 0 : 0 + 78 -> 78
Job 1 Operation 0 on Machine 1 : 0 + 201 -> 201
Job 5 Operation 0 on Machine 2 : 0 + 235 -> 235
Job 0 Operation 0 on Machine 3 : 0 + 70 -> 70
Job 6 Operation 0 on Machine 4 : 0 + 129 -> 129
Job 8 Operation 0 on Machine 5 : 0 + 425 -> 425
Job 4 Operation 0 on Machine 0 : 78 + 240 -> 318
Job 9 Operation 1 on Machine 1 : 201 + 12 -> 213
Job 1 Operation 1 on Machine 3 : 201 + 382 -> 583
Job 9 Operation 2 on Machine 2 : 235 + 390 -> 625
Job 5 Operation 1 on Machine 4 : 235 + 10 -> 245
Job 5 Operation 2 on Machine 6 : 245 + 344 -> 589
Job 0 Operation 1 on Machine 0 : 318 + 159 -> 477
Job 4 Operation 1 on Machine 1 : 318 + 229 -> 547
Job 6 Operation 1 on Machine 5 : 425 + 33 -> 458
Job 2 Operation 0 on Machine 0 : 477 + 349 -> 826
Job 0 Operation 2 on Machine 4 : 477 + 324 -> 801
Job 1 Operation 2 on Machine 5 : 583 + 161 -> 744
Job 5 Operation 3 on Machine 1 : 589 + 49 -> 638
Job 8 Operation 1 on Machine 6 : 589 + 249 -> 838
Job 4 Operation 2 on Machine 2 : 625 + 418 -> 1043
Job 9 Operation 3 on Machine 3 : 625 + 291 -> 916
Job 3 Operation 0 on Machine 5 : 744 + 423 -> 1167
Job 6 Operation 2 on Machine 0 : 826 + 308 -> 1134
Job 2 Operation 1 on Machine 4 : 826 + 82 -> 908
Job 8 Operation 2 on Machine 1 : 838 + 427 -> 1265
Job 0 Operation 3 on Machine 6 : 838 + 407 -> 1245
Job 7 Operation 0 on Machine 3 : 916 + 244 -> 1160
Job 1 Operation 3 on Machine 2 : 1043 + 432 -> 1475
Job 5 Operation 4 on Machine 0 : 1134 + 312 -> 1446
Job 7 Operation 1 on Machine 4 : 1160 + 94 -> 1254
Job 2 Operation 2 on Machine 6 : 1245 + 293 -> 1538
Job 7 Operation 2 on Machine 5 : 1254 + 180 -> 1434
Job 7 Operation 3 on Machine 1 : 1434 + 195 -> 1629
Job 8 Operation 3 on Machine 0 : 1446 + 179 -> 1625
Job 5 Operation 5 on Machine 5 : 1446 + 63 -> 1509
Job 5 Operation 6 on Machine 3 : 1509 + 213 -> 1722
Job 2 Operation 3 on Machine 2 : 1538 + 185 -> 1723
Job 6 Operation 3 on Machine 6 : 1538 + 355 -> 1893
Job 1 Operation 4 on Machine 0 : 1625 + 309 -> 1934
Job 8 Operation 4 on Machine 4 : 1625 + 72 -> 1697
Job 2 Operation 4 on Machine 5 : 1723 + 107 -> 1830
Job 2 Operation 5 on Machine 3 : 1830 + 374 -> 2204
Job 9 Operation 4 on Machine 5 : 1830 + 370 -> 2200
Job 6 Operation 4 on Machine 2 : 1893 + 14 -> 1907
Job 4 Operation 3 on Machine 6 : 1893 + 331 -> 2224
Job 6 Operation 5 on Machine 1 : 1907 + 277 -> 2184
Job 3 Operation 1 on Machine 2 : 1907 + 232 -> 2139
Job 7 Operation 4 on Machine 0 : 1934 + 316 -> 2250
Job 1 Operation 5 on Machine 4 : 1934 + 125 -> 2059
Job 8 Operation 5 on Machine 2 : 2139 + 354 -> 2493
Job 0 Operation 4 on Machine 5 : 2200 + 333 -> 2533
Job 2 Operation 6 on Machine 1 : 2204 + 296 -> 2500
Job 3 Operation 2 on Machine 3 : 2204 + 64 -> 2268
Job 4 Operation 4 on Machine 4 : 2224 + 294 -> 2518
Job 9 Operation 5 on Machine 6 : 2224 + 238 -> 2462
Job 3 Operation 3 on Machine 0 : 2268 + 314 -> 2582
Job 6 Operation 6 on Machine 3 : 2268 + 312 -> 2580
Job 7 Operation 5 on Machine 6 : 2462 + 264 -> 2726
Job 9 Operation 6 on Machine 4 : 2518 + 271 -> 2789
Job 0 Operation 5 on Machine 1 : 2533 + 269 -> 2802
Job 4 Operation 5 on Machine 5 : 2533 + 230 -> 2763
Job 8 Operation 6 on Machine 3 : 2580 + 109 -> 2689
Job 7 Operation 6 on Machine 2 : 2726 + 187 -> 2913
Job 3 Operation 4 on Machine 6 : 2726 + 92 -> 2818
Job 4 Operation 6 on Machine 3 : 2763 + 250 -> 3013
Job 3 Operation 5 on Machine 4 : 2818 + 40 -> 2858
Job 1 Operation 6 on Machine 6 : 2818 + 220 -> 3038
Job 3 Operation 6 on Machine 1 : 2858 + 117 -> 2975
Job 0 Operation 6 on Machine 2 : 2913 + 48 -> 2961
Makespan: 3038.0, as it is the maximum end completion time of Operation 6 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 106 mins.
Operation 1 on Machine 0 duration 449 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 13 mins.
Operation 1 on Machine 0 duration 293 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 407 mins.
Operation 1 on Machine 0 duration 451 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 23 mins.
Operation 1 on Machine 1 duration 406 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 180 mins.
Operation 1 on Machine 1 duration 459 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 402 mins.
Operation 1 on Machine 0 duration 70 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 166 mins.
Operation 1 on Machine 0 duration 22 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 23 mins.
Job 4 Operation 0 duration 180 mins.
Job 0 Operation 1 duration 449 mins.
Job 1 Operation 1 duration 293 mins.
Job 2 Operation 1 duration 451 mins.
Job 5 Operation 1 duration 70 mins.
Job 6 Operation 1 duration 22 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 106 mins.
Job 1 Operation 0 duration 13 mins.
Job 2 Operation 0 duration 407 mins.
Job 5 Operation 0 duration 402 mins.
Job 6 Operation 0 duration 166 mins.
Job 3 Operation 1 duration 406 mins.
Job 4 Operation 1 duration 459 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 23 -> 23
Job 1 Operation 0 on Machine 1 : 0 + 13 -> 13
Job 0 Operation 0 on Machine 1 : 13 + 106 -> 119
Job 4 Operation 0 on Machine 0 : 23 + 180 -> 203
Job 6 Operation 0 on Machine 1 : 119 + 166 -> 285
Job 1 Operation 1 on Machine 0 : 203 + 293 -> 496
Job 5 Operation 0 on Machine 1 : 285 + 402 -> 687
Job 6 Operation 1 on Machine 0 : 496 + 22 -> 518
Job 0 Operation 1 on Machine 0 : 518 + 449 -> 967
Job 3 Operation 1 on Machine 1 : 687 + 406 -> 1093
Job 5 Operation 1 on Machine 0 : 967 + 70 -> 1037
Job 2 Operation 0 on Machine 1 : 1093 + 407 -> 1500
Job 2 Operation 1 on Machine 0 : 1500 + 451 -> 1951
Job 4 Operation 1 on Machine 1 : 1500 + 459 -> 1959
Makespan: 1959.0, as it is the maximum end completion time of Operation 1 |
10 | 7 | Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 274 mins.
Operation 1 on Machine 0 duration 47 mins.
Operation 2 on Machine 6 duration 287 mins.
Operation 3 on Machine 3 duration 385 mins.
Operation 4 on Machine 5 duration 417 mins.
Operation 5 on Machine 1 duration 342 mins.
Operation 6 on Machine 2 duration 76 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 131 mins.
Operation 1 on Machine 3 duration 223 mins.
Operation 2 on Machine 5 duration 178 mins.
Operation 3 on Machine 4 duration 370 mins.
Operation 4 on Machine 2 duration 45 mins.
Operation 5 on Machine 0 duration 252 mins.
Operation 6 on Machine 6 duration 281 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 363 mins.
Operation 1 on Machine 6 duration 295 mins.
Operation 2 on Machine 2 duration 267 mins.
Operation 3 on Machine 4 duration 85 mins.
Operation 4 on Machine 1 duration 322 mins.
Operation 5 on Machine 0 duration 409 mins.
Operation 6 on Machine 3 duration 119 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 135 mins.
Operation 1 on Machine 0 duration 246 mins.
Operation 2 on Machine 2 duration 115 mins.
Operation 3 on Machine 6 duration 237 mins.
Operation 4 on Machine 1 duration 143 mins.
Operation 5 on Machine 5 duration 358 mins.
Operation 6 on Machine 4 duration 242 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 384 mins.
Operation 1 on Machine 4 duration 275 mins.
Operation 2 on Machine 5 duration 26 mins.
Operation 3 on Machine 1 duration 262 mins.
Operation 4 on Machine 0 duration 407 mins.
Operation 5 on Machine 6 duration 35 mins.
Operation 6 on Machine 2 duration 200 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 176 mins.
Operation 1 on Machine 1 duration 102 mins.
Operation 2 on Machine 4 duration 191 mins.
Operation 3 on Machine 2 duration 432 mins.
Operation 4 on Machine 0 duration 177 mins.
Operation 5 on Machine 6 duration 123 mins.
Operation 6 on Machine 5 duration 418 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 262 mins.
Operation 1 on Machine 6 duration 439 mins.
Operation 2 on Machine 1 duration 136 mins.
Operation 3 on Machine 4 duration 122 mins.
Operation 4 on Machine 5 duration 204 mins.
Operation 5 on Machine 3 duration 58 mins.
Operation 6 on Machine 2 duration 206 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 323 mins.
Operation 1 on Machine 4 duration 46 mins.
Operation 2 on Machine 0 duration 307 mins.
Operation 3 on Machine 1 duration 297 mins.
Operation 4 on Machine 5 duration 303 mins.
Operation 5 on Machine 6 duration 212 mins.
Operation 6 on Machine 3 duration 421 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 140 mins.
Operation 1 on Machine 0 duration 225 mins.
Operation 2 on Machine 1 duration 11 mins.
Operation 3 on Machine 5 duration 100 mins.
Operation 4 on Machine 2 duration 116 mins.
Operation 5 on Machine 4 duration 346 mins.
Operation 6 on Machine 3 duration 337 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 361 mins.
Operation 1 on Machine 2 duration 448 mins.
Operation 2 on Machine 5 duration 105 mins.
Operation 3 on Machine 0 duration 228 mins.
Operation 4 on Machine 3 duration 355 mins.
Operation 5 on Machine 4 duration 45 mins.
Operation 6 on Machine 1 duration 93 mins.
| Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 262 mins.
Job 0 Operation 1 duration 47 mins.
Job 3 Operation 1 duration 246 mins.
Job 8 Operation 1 duration 225 mins.
Job 7 Operation 2 duration 307 mins.
Job 9 Operation 3 duration 228 mins.
Job 4 Operation 4 duration 407 mins.
Job 5 Operation 4 duration 177 mins.
Job 1 Operation 5 duration 252 mins.
Job 2 Operation 5 duration 409 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 131 mins.
Job 5 Operation 1 duration 102 mins.
Job 6 Operation 2 duration 136 mins.
Job 8 Operation 2 duration 11 mins.
Job 4 Operation 3 duration 262 mins.
Job 7 Operation 3 duration 297 mins.
Job 2 Operation 4 duration 322 mins.
Job 3 Operation 4 duration 143 mins.
Job 0 Operation 5 duration 342 mins.
Job 9 Operation 6 duration 93 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 323 mins.
Job 9 Operation 1 duration 448 mins.
Job 2 Operation 2 duration 267 mins.
Job 3 Operation 2 duration 115 mins.
Job 5 Operation 3 duration 432 mins.
Job 1 Operation 4 duration 45 mins.
Job 8 Operation 4 duration 116 mins.
Job 0 Operation 6 duration 76 mins.
Job 4 Operation 6 duration 200 mins.
Job 6 Operation 6 duration 206 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 135 mins.
Job 4 Operation 0 duration 384 mins.
Job 5 Operation 0 duration 176 mins.
Job 1 Operation 1 duration 223 mins.
Job 0 Operation 3 duration 385 mins.
Job 9 Operation 4 duration 355 mins.
Job 6 Operation 5 duration 58 mins.
Job 2 Operation 6 duration 119 mins.
Job 7 Operation 6 duration 421 mins.
Job 8 Operation 6 duration 337 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 274 mins.
Job 4 Operation 1 duration 275 mins.
Job 7 Operation 1 duration 46 mins.
Job 5 Operation 2 duration 191 mins.
Job 1 Operation 3 duration 370 mins.
Job 2 Operation 3 duration 85 mins.
Job 6 Operation 3 duration 122 mins.
Job 8 Operation 5 duration 346 mins.
Job 9 Operation 5 duration 45 mins.
Job 3 Operation 6 duration 242 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 363 mins.
Job 1 Operation 2 duration 178 mins.
Job 4 Operation 2 duration 26 mins.
Job 9 Operation 2 duration 105 mins.
Job 8 Operation 3 duration 100 mins.
Job 0 Operation 4 duration 417 mins.
Job 6 Operation 4 duration 204 mins.
Job 7 Operation 4 duration 303 mins.
Job 3 Operation 5 duration 358 mins.
Job 5 Operation 6 duration 418 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 0 duration 140 mins.
Job 9 Operation 0 duration 361 mins.
Job 2 Operation 1 duration 295 mins.
Job 6 Operation 1 duration 439 mins.
Job 0 Operation 2 duration 287 mins.
Job 3 Operation 3 duration 237 mins.
Job 4 Operation 5 duration 35 mins.
Job 5 Operation 5 duration 123 mins.
Job 7 Operation 5 duration 212 mins.
Job 1 Operation 6 duration 281 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 262 -> 262
Job 1 Operation 0 on Machine 1 : 0 + 131 -> 131
Job 7 Operation 0 on Machine 2 : 0 + 323 -> 323
Job 4 Operation 0 on Machine 3 : 0 + 384 -> 384
Job 0 Operation 0 on Machine 4 : 0 + 274 -> 274
Job 2 Operation 0 on Machine 5 : 0 + 363 -> 363
Job 9 Operation 0 on Machine 6 : 0 + 361 -> 361
Job 0 Operation 1 on Machine 0 : 274 + 47 -> 321
Job 7 Operation 1 on Machine 4 : 323 + 46 -> 369
Job 9 Operation 1 on Machine 2 : 361 + 448 -> 809
Job 8 Operation 0 on Machine 6 : 361 + 140 -> 501
Job 7 Operation 2 on Machine 0 : 369 + 307 -> 676
Job 1 Operation 1 on Machine 3 : 384 + 223 -> 607
Job 4 Operation 1 on Machine 4 : 384 + 275 -> 659
Job 0 Operation 2 on Machine 6 : 501 + 287 -> 788
Job 3 Operation 0 on Machine 3 : 607 + 135 -> 742
Job 1 Operation 2 on Machine 5 : 607 + 178 -> 785
Job 8 Operation 1 on Machine 0 : 676 + 225 -> 901
Job 7 Operation 3 on Machine 1 : 676 + 297 -> 973
Job 5 Operation 0 on Machine 3 : 742 + 176 -> 918
Job 1 Operation 3 on Machine 4 : 785 + 370 -> 1155
Job 2 Operation 1 on Machine 6 : 788 + 295 -> 1083
Job 9 Operation 2 on Machine 5 : 809 + 105 -> 914
Job 3 Operation 1 on Machine 0 : 901 + 246 -> 1147
Job 4 Operation 2 on Machine 5 : 914 + 26 -> 940
Job 0 Operation 3 on Machine 3 : 918 + 385 -> 1303
Job 8 Operation 2 on Machine 1 : 973 + 11 -> 984
Job 5 Operation 1 on Machine 1 : 984 + 102 -> 1086
Job 8 Operation 3 on Machine 5 : 984 + 100 -> 1084
Job 6 Operation 1 on Machine 6 : 1083 + 439 -> 1522
Job 8 Operation 4 on Machine 2 : 1084 + 116 -> 1200
Job 7 Operation 4 on Machine 5 : 1084 + 303 -> 1387
Job 4 Operation 3 on Machine 1 : 1086 + 262 -> 1348
Job 9 Operation 3 on Machine 0 : 1147 + 228 -> 1375
Job 5 Operation 2 on Machine 4 : 1155 + 191 -> 1346
Job 3 Operation 2 on Machine 2 : 1200 + 115 -> 1315
Job 1 Operation 4 on Machine 2 : 1315 + 45 -> 1360
Job 8 Operation 5 on Machine 4 : 1346 + 346 -> 1692
Job 2 Operation 2 on Machine 2 : 1360 + 267 -> 1627
Job 4 Operation 4 on Machine 0 : 1375 + 407 -> 1782
Job 9 Operation 4 on Machine 3 : 1375 + 355 -> 1730
Job 0 Operation 4 on Machine 5 : 1387 + 417 -> 1804
Job 6 Operation 2 on Machine 1 : 1522 + 136 -> 1658
Job 3 Operation 3 on Machine 6 : 1522 + 237 -> 1759
Job 5 Operation 3 on Machine 2 : 1627 + 432 -> 2059
Job 6 Operation 3 on Machine 4 : 1692 + 122 -> 1814
Job 8 Operation 6 on Machine 3 : 1730 + 337 -> 2067
Job 3 Operation 4 on Machine 1 : 1759 + 143 -> 1902
Job 7 Operation 5 on Machine 6 : 1759 + 212 -> 1971
Job 1 Operation 5 on Machine 0 : 1782 + 252 -> 2034
Job 2 Operation 3 on Machine 4 : 1814 + 85 -> 1899
Job 6 Operation 4 on Machine 5 : 1814 + 204 -> 2018
Job 9 Operation 5 on Machine 4 : 1899 + 45 -> 1944
Job 2 Operation 4 on Machine 1 : 1902 + 322 -> 2224
Job 4 Operation 5 on Machine 6 : 1971 + 35 -> 2006
Job 3 Operation 5 on Machine 5 : 2018 + 358 -> 2376
Job 5 Operation 4 on Machine 0 : 2059 + 177 -> 2236
Job 6 Operation 5 on Machine 3 : 2067 + 58 -> 2125
Job 6 Operation 6 on Machine 2 : 2125 + 206 -> 2331
Job 7 Operation 6 on Machine 3 : 2125 + 421 -> 2546
Job 0 Operation 5 on Machine 1 : 2224 + 342 -> 2566
Job 2 Operation 5 on Machine 0 : 2236 + 409 -> 2645
Job 5 Operation 5 on Machine 6 : 2236 + 123 -> 2359
Job 4 Operation 6 on Machine 2 : 2331 + 200 -> 2531
Job 1 Operation 6 on Machine 6 : 2359 + 281 -> 2640
Job 3 Operation 6 on Machine 4 : 2376 + 242 -> 2618
Job 5 Operation 6 on Machine 5 : 2376 + 418 -> 2794
Job 9 Operation 6 on Machine 1 : 2566 + 93 -> 2659
Job 0 Operation 6 on Machine 2 : 2566 + 76 -> 2642
Job 2 Operation 6 on Machine 3 : 2645 + 119 -> 2764
Makespan: 2794.0, as it is the maximum end completion time of Operation 6 |
8 | 2 | Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 275 mins.
Operation 1 on Machine 1 duration 195 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 266 mins.
Operation 1 on Machine 0 duration 261 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 39 mins.
Operation 1 on Machine 0 duration 209 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 96 mins.
Operation 1 on Machine 1 duration 135 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 199 mins.
Operation 1 on Machine 0 duration 174 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 172 mins.
Operation 1 on Machine 1 duration 164 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 100 mins.
Operation 1 on Machine 0 duration 41 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 33 mins.
Operation 1 on Machine 0 duration 66 mins.
| Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 275 mins.
Job 3 Operation 0 duration 96 mins.
Job 5 Operation 0 duration 172 mins.
Job 1 Operation 1 duration 261 mins.
Job 2 Operation 1 duration 209 mins.
Job 4 Operation 1 duration 174 mins.
Job 6 Operation 1 duration 41 mins.
Job 7 Operation 1 duration 66 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 266 mins.
Job 2 Operation 0 duration 39 mins.
Job 4 Operation 0 duration 199 mins.
Job 6 Operation 0 duration 100 mins.
Job 7 Operation 0 duration 33 mins.
Job 0 Operation 1 duration 195 mins.
Job 3 Operation 1 duration 135 mins.
Job 5 Operation 1 duration 164 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 96 -> 96
Job 7 Operation 0 on Machine 1 : 0 + 33 -> 33
Job 2 Operation 0 on Machine 1 : 33 + 39 -> 72
Job 6 Operation 0 on Machine 1 : 72 + 100 -> 172
Job 7 Operation 1 on Machine 0 : 96 + 66 -> 162
Job 5 Operation 0 on Machine 0 : 162 + 172 -> 334
Job 3 Operation 1 on Machine 1 : 172 + 135 -> 307
Job 4 Operation 0 on Machine 1 : 307 + 199 -> 506
Job 6 Operation 1 on Machine 0 : 334 + 41 -> 375
Job 2 Operation 1 on Machine 0 : 375 + 209 -> 584
Job 5 Operation 1 on Machine 1 : 506 + 164 -> 670
Job 4 Operation 1 on Machine 0 : 584 + 174 -> 758
Job 1 Operation 0 on Machine 1 : 670 + 266 -> 936
Job 0 Operation 0 on Machine 0 : 758 + 275 -> 1033
Job 1 Operation 1 on Machine 0 : 1033 + 261 -> 1294
Job 0 Operation 1 on Machine 1 : 1033 + 195 -> 1228
Makespan: 1294.0, as it is the maximum end completion time of Operation 1 |
10 | 6 | Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 264 mins.
Operation 1 on Machine 0 duration 167 mins.
Operation 2 on Machine 2 duration 62 mins.
Operation 3 on Machine 1 duration 52 mins.
Operation 4 on Machine 3 duration 180 mins.
Operation 5 on Machine 4 duration 315 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 363 mins.
Operation 1 on Machine 1 duration 202 mins.
Operation 2 on Machine 4 duration 180 mins.
Operation 3 on Machine 3 duration 322 mins.
Operation 4 on Machine 5 duration 189 mins.
Operation 5 on Machine 2 duration 345 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 86 mins.
Operation 1 on Machine 2 duration 360 mins.
Operation 2 on Machine 1 duration 330 mins.
Operation 3 on Machine 0 duration 292 mins.
Operation 4 on Machine 3 duration 118 mins.
Operation 5 on Machine 4 duration 294 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 255 mins.
Operation 1 on Machine 0 duration 338 mins.
Operation 2 on Machine 1 duration 127 mins.
Operation 3 on Machine 2 duration 18 mins.
Operation 4 on Machine 5 duration 184 mins.
Operation 5 on Machine 4 duration 145 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 291 mins.
Operation 1 on Machine 5 duration 122 mins.
Operation 2 on Machine 3 duration 219 mins.
Operation 3 on Machine 4 duration 59 mins.
Operation 4 on Machine 1 duration 97 mins.
Operation 5 on Machine 2 duration 235 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 126 mins.
Operation 1 on Machine 3 duration 36 mins.
Operation 2 on Machine 4 duration 126 mins.
Operation 3 on Machine 5 duration 326 mins.
Operation 4 on Machine 2 duration 313 mins.
Operation 5 on Machine 1 duration 48 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 127 mins.
Operation 1 on Machine 2 duration 9 mins.
Operation 2 on Machine 5 duration 169 mins.
Operation 3 on Machine 1 duration 55 mins.
Operation 4 on Machine 3 duration 241 mins.
Operation 5 on Machine 0 duration 308 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 192 mins.
Operation 1 on Machine 2 duration 120 mins.
Operation 2 on Machine 4 duration 186 mins.
Operation 3 on Machine 0 duration 51 mins.
Operation 4 on Machine 5 duration 222 mins.
Operation 5 on Machine 3 duration 90 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 126 mins.
Operation 1 on Machine 0 duration 325 mins.
Operation 2 on Machine 3 duration 124 mins.
Operation 3 on Machine 1 duration 215 mins.
Operation 4 on Machine 2 duration 101 mins.
Operation 5 on Machine 5 duration 255 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 29 mins.
Operation 1 on Machine 5 duration 222 mins.
Operation 2 on Machine 0 duration 334 mins.
Operation 3 on Machine 1 duration 140 mins.
Operation 4 on Machine 2 duration 155 mins.
Operation 5 on Machine 4 duration 88 mins.
| Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 363 mins.
Job 4 Operation 0 duration 291 mins.
Job 5 Operation 0 duration 126 mins.
Job 0 Operation 1 duration 167 mins.
Job 3 Operation 1 duration 338 mins.
Job 8 Operation 1 duration 325 mins.
Job 9 Operation 2 duration 334 mins.
Job 2 Operation 3 duration 292 mins.
Job 7 Operation 3 duration 51 mins.
Job 6 Operation 5 duration 308 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 192 mins.
Job 1 Operation 1 duration 202 mins.
Job 2 Operation 2 duration 330 mins.
Job 3 Operation 2 duration 127 mins.
Job 0 Operation 3 duration 52 mins.
Job 6 Operation 3 duration 55 mins.
Job 8 Operation 3 duration 215 mins.
Job 9 Operation 3 duration 140 mins.
Job 4 Operation 4 duration 97 mins.
Job 5 Operation 5 duration 48 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 360 mins.
Job 6 Operation 1 duration 9 mins.
Job 7 Operation 1 duration 120 mins.
Job 0 Operation 2 duration 62 mins.
Job 3 Operation 3 duration 18 mins.
Job 5 Operation 4 duration 313 mins.
Job 8 Operation 4 duration 101 mins.
Job 9 Operation 4 duration 155 mins.
Job 1 Operation 5 duration 345 mins.
Job 4 Operation 5 duration 235 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 255 mins.
Job 9 Operation 0 duration 29 mins.
Job 5 Operation 1 duration 36 mins.
Job 4 Operation 2 duration 219 mins.
Job 8 Operation 2 duration 124 mins.
Job 1 Operation 3 duration 322 mins.
Job 0 Operation 4 duration 180 mins.
Job 2 Operation 4 duration 118 mins.
Job 6 Operation 4 duration 241 mins.
Job 7 Operation 5 duration 90 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 127 mins.
Job 8 Operation 0 duration 126 mins.
Job 1 Operation 2 duration 180 mins.
Job 5 Operation 2 duration 126 mins.
Job 7 Operation 2 duration 186 mins.
Job 4 Operation 3 duration 59 mins.
Job 0 Operation 5 duration 315 mins.
Job 2 Operation 5 duration 294 mins.
Job 3 Operation 5 duration 145 mins.
Job 9 Operation 5 duration 88 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 264 mins.
Job 2 Operation 0 duration 86 mins.
Job 4 Operation 1 duration 122 mins.
Job 9 Operation 1 duration 222 mins.
Job 6 Operation 2 duration 169 mins.
Job 5 Operation 3 duration 326 mins.
Job 1 Operation 4 duration 189 mins.
Job 3 Operation 4 duration 184 mins.
Job 7 Operation 4 duration 222 mins.
Job 8 Operation 5 duration 255 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 126 -> 126
Job 7 Operation 0 on Machine 1 : 0 + 192 -> 192
Job 3 Operation 0 on Machine 3 : 0 + 255 -> 255
Job 6 Operation 0 on Machine 4 : 0 + 127 -> 127
Job 0 Operation 0 on Machine 5 : 0 + 264 -> 264
Job 1 Operation 0 on Machine 0 : 126 + 363 -> 489
Job 6 Operation 1 on Machine 2 : 127 + 9 -> 136
Job 8 Operation 0 on Machine 4 : 127 + 126 -> 253
Job 7 Operation 1 on Machine 2 : 192 + 120 -> 312
Job 5 Operation 1 on Machine 3 : 255 + 36 -> 291
Job 2 Operation 0 on Machine 5 : 264 + 86 -> 350
Job 9 Operation 0 on Machine 3 : 291 + 29 -> 320
Job 5 Operation 2 on Machine 4 : 291 + 126 -> 417
Job 2 Operation 1 on Machine 2 : 350 + 360 -> 710
Job 7 Operation 2 on Machine 4 : 417 + 186 -> 603
Job 5 Operation 3 on Machine 5 : 417 + 326 -> 743
Job 4 Operation 0 on Machine 0 : 489 + 291 -> 780
Job 1 Operation 1 on Machine 1 : 489 + 202 -> 691
Job 1 Operation 2 on Machine 4 : 691 + 180 -> 871
Job 2 Operation 2 on Machine 1 : 710 + 330 -> 1040
Job 5 Operation 4 on Machine 2 : 743 + 313 -> 1056
Job 0 Operation 1 on Machine 0 : 780 + 167 -> 947
Job 4 Operation 1 on Machine 5 : 780 + 122 -> 902
Job 1 Operation 3 on Machine 3 : 871 + 322 -> 1193
Job 9 Operation 1 on Machine 5 : 902 + 222 -> 1124
Job 8 Operation 1 on Machine 0 : 947 + 325 -> 1272
Job 0 Operation 2 on Machine 2 : 1056 + 62 -> 1118
Job 0 Operation 3 on Machine 1 : 1118 + 52 -> 1170
Job 4 Operation 2 on Machine 3 : 1193 + 219 -> 1412
Job 1 Operation 4 on Machine 5 : 1193 + 189 -> 1382
Job 2 Operation 3 on Machine 0 : 1272 + 292 -> 1564
Job 1 Operation 5 on Machine 2 : 1382 + 345 -> 1727
Job 6 Operation 2 on Machine 5 : 1382 + 169 -> 1551
Job 8 Operation 2 on Machine 3 : 1412 + 124 -> 1536
Job 4 Operation 3 on Machine 4 : 1412 + 59 -> 1471
Job 8 Operation 3 on Machine 1 : 1536 + 215 -> 1751
Job 3 Operation 1 on Machine 0 : 1564 + 338 -> 1902
Job 2 Operation 4 on Machine 3 : 1564 + 118 -> 1682
Job 0 Operation 4 on Machine 3 : 1682 + 180 -> 1862
Job 2 Operation 5 on Machine 4 : 1682 + 294 -> 1976
Job 6 Operation 3 on Machine 1 : 1751 + 55 -> 1806
Job 8 Operation 4 on Machine 2 : 1751 + 101 -> 1852
Job 8 Operation 5 on Machine 5 : 1852 + 255 -> 2107
Job 6 Operation 4 on Machine 3 : 1862 + 241 -> 2103
Job 9 Operation 2 on Machine 0 : 1902 + 334 -> 2236
Job 3 Operation 2 on Machine 1 : 1902 + 127 -> 2029
Job 0 Operation 5 on Machine 4 : 1976 + 315 -> 2291
Job 4 Operation 4 on Machine 1 : 2029 + 97 -> 2126
Job 3 Operation 3 on Machine 2 : 2029 + 18 -> 2047
Job 3 Operation 4 on Machine 5 : 2107 + 184 -> 2291
Job 4 Operation 5 on Machine 2 : 2126 + 235 -> 2361
Job 7 Operation 3 on Machine 0 : 2236 + 51 -> 2287
Job 9 Operation 3 on Machine 1 : 2236 + 140 -> 2376
Job 6 Operation 5 on Machine 0 : 2287 + 308 -> 2595
Job 3 Operation 5 on Machine 4 : 2291 + 145 -> 2436
Job 7 Operation 4 on Machine 5 : 2291 + 222 -> 2513
Job 5 Operation 5 on Machine 1 : 2376 + 48 -> 2424
Job 9 Operation 4 on Machine 2 : 2376 + 155 -> 2531
Job 7 Operation 5 on Machine 3 : 2513 + 90 -> 2603
Job 9 Operation 5 on Machine 4 : 2531 + 88 -> 2619
Makespan: 2619.0, as it is the maximum end completion time of Operation 5 |
12 | 12 | Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 80 mins.
Operation 1 on Machine 11 duration 44 mins.
Operation 2 on Machine 10 duration 92 mins.
Operation 3 on Machine 6 duration 127 mins.
Operation 4 on Machine 7 duration 173 mins.
Operation 5 on Machine 2 duration 167 mins.
Operation 6 on Machine 9 duration 9 mins.
Operation 7 on Machine 8 duration 38 mins.
Operation 8 on Machine 0 duration 71 mins.
Operation 9 on Machine 1 duration 163 mins.
Operation 10 on Machine 5 duration 114 mins.
Operation 11 on Machine 3 duration 194 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 115 mins.
Operation 1 on Machine 1 duration 195 mins.
Operation 2 on Machine 0 duration 162 mins.
Operation 3 on Machine 9 duration 150 mins.
Operation 4 on Machine 4 duration 29 mins.
Operation 5 on Machine 8 duration 181 mins.
Operation 6 on Machine 2 duration 88 mins.
Operation 7 on Machine 5 duration 62 mins.
Operation 8 on Machine 10 duration 38 mins.
Operation 9 on Machine 3 duration 73 mins.
Operation 10 on Machine 11 duration 82 mins.
Operation 11 on Machine 6 duration 126 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 132 mins.
Operation 1 on Machine 10 duration 111 mins.
Operation 2 on Machine 3 duration 1 mins.
Operation 3 on Machine 1 duration 139 mins.
Operation 4 on Machine 7 duration 59 mins.
Operation 5 on Machine 0 duration 126 mins.
Operation 6 on Machine 6 duration 57 mins.
Operation 7 on Machine 5 duration 120 mins.
Operation 8 on Machine 9 duration 122 mins.
Operation 9 on Machine 11 duration 166 mins.
Operation 10 on Machine 4 duration 46 mins.
Operation 11 on Machine 2 duration 159 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 129 mins.
Operation 1 on Machine 8 duration 171 mins.
Operation 2 on Machine 3 duration 72 mins.
Operation 3 on Machine 11 duration 31 mins.
Operation 4 on Machine 1 duration 134 mins.
Operation 5 on Machine 6 duration 113 mins.
Operation 6 on Machine 2 duration 46 mins.
Operation 7 on Machine 0 duration 176 mins.
Operation 8 on Machine 7 duration 38 mins.
Operation 9 on Machine 10 duration 116 mins.
Operation 10 on Machine 4 duration 18 mins.
Operation 11 on Machine 9 duration 193 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 174 mins.
Operation 1 on Machine 8 duration 173 mins.
Operation 2 on Machine 1 duration 72 mins.
Operation 3 on Machine 7 duration 87 mins.
Operation 4 on Machine 0 duration 196 mins.
Operation 5 on Machine 3 duration 80 mins.
Operation 6 on Machine 4 duration 159 mins.
Operation 7 on Machine 5 duration 24 mins.
Operation 8 on Machine 9 duration 178 mins.
Operation 9 on Machine 11 duration 137 mins.
Operation 10 on Machine 10 duration 167 mins.
Operation 11 on Machine 6 duration 25 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 127 mins.
Operation 1 on Machine 8 duration 193 mins.
Operation 2 on Machine 5 duration 59 mins.
Operation 3 on Machine 0 duration 184 mins.
Operation 4 on Machine 10 duration 23 mins.
Operation 5 on Machine 6 duration 36 mins.
Operation 6 on Machine 4 duration 183 mins.
Operation 7 on Machine 9 duration 12 mins.
Operation 8 on Machine 3 duration 70 mins.
Operation 9 on Machine 2 duration 91 mins.
Operation 10 on Machine 1 duration 70 mins.
Operation 11 on Machine 11 duration 145 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 57 mins.
Operation 1 on Machine 0 duration 72 mins.
Operation 2 on Machine 6 duration 170 mins.
Operation 3 on Machine 11 duration 171 mins.
Operation 4 on Machine 2 duration 98 mins.
Operation 5 on Machine 10 duration 105 mins.
Operation 6 on Machine 1 duration 155 mins.
Operation 7 on Machine 8 duration 66 mins.
Operation 8 on Machine 5 duration 158 mins.
Operation 9 on Machine 3 duration 149 mins.
Operation 10 on Machine 9 duration 106 mins.
Operation 11 on Machine 4 duration 171 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 40 mins.
Operation 1 on Machine 9 duration 149 mins.
Operation 2 on Machine 6 duration 44 mins.
Operation 3 on Machine 8 duration 80 mins.
Operation 4 on Machine 7 duration 48 mins.
Operation 5 on Machine 3 duration 76 mins.
Operation 6 on Machine 4 duration 113 mins.
Operation 7 on Machine 10 duration 73 mins.
Operation 8 on Machine 0 duration 22 mins.
Operation 9 on Machine 2 duration 54 mins.
Operation 10 on Machine 5 duration 21 mins.
Operation 11 on Machine 11 duration 141 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 180 mins.
Operation 1 on Machine 3 duration 124 mins.
Operation 2 on Machine 11 duration 95 mins.
Operation 3 on Machine 7 duration 162 mins.
Operation 4 on Machine 6 duration 39 mins.
Operation 5 on Machine 9 duration 167 mins.
Operation 6 on Machine 2 duration 138 mins.
Operation 7 on Machine 10 duration 1 mins.
Operation 8 on Machine 1 duration 48 mins.
Operation 9 on Machine 4 duration 43 mins.
Operation 10 on Machine 5 duration 38 mins.
Operation 11 on Machine 8 duration 137 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 5 duration 172 mins.
Operation 1 on Machine 7 duration 34 mins.
Operation 2 on Machine 8 duration 20 mins.
Operation 3 on Machine 10 duration 142 mins.
Operation 4 on Machine 0 duration 53 mins.
Operation 5 on Machine 6 duration 123 mins.
Operation 6 on Machine 4 duration 178 mins.
Operation 7 on Machine 9 duration 118 mins.
Operation 8 on Machine 3 duration 65 mins.
Operation 9 on Machine 11 duration 11 mins.
Operation 10 on Machine 2 duration 16 mins.
Operation 11 on Machine 1 duration 4 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 1 duration 97 mins.
Operation 1 on Machine 2 duration 83 mins.
Operation 2 on Machine 6 duration 31 mins.
Operation 3 on Machine 5 duration 151 mins.
Operation 4 on Machine 3 duration 147 mins.
Operation 5 on Machine 11 duration 154 mins.
Operation 6 on Machine 7 duration 75 mins.
Operation 7 on Machine 10 duration 57 mins.
Operation 8 on Machine 0 duration 126 mins.
Operation 9 on Machine 8 duration 149 mins.
Operation 10 on Machine 4 duration 48 mins.
Operation 11 on Machine 9 duration 86 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 9 duration 181 mins.
Operation 1 on Machine 10 duration 119 mins.
Operation 2 on Machine 1 duration 108 mins.
Operation 3 on Machine 0 duration 162 mins.
Operation 4 on Machine 4 duration 75 mins.
Operation 5 on Machine 3 duration 73 mins.
Operation 6 on Machine 5 duration 84 mins.
Operation 7 on Machine 11 duration 7 mins.
Operation 8 on Machine 2 duration 34 mins.
Operation 9 on Machine 6 duration 111 mins.
Operation 10 on Machine 7 duration 65 mins.
Operation 11 on Machine 8 duration 55 mins.
| Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 8 Operation 0 duration 180 mins.
Job 6 Operation 1 duration 72 mins.
Job 1 Operation 2 duration 162 mins.
Job 5 Operation 3 duration 184 mins.
Job 11 Operation 3 duration 162 mins.
Job 4 Operation 4 duration 196 mins.
Job 9 Operation 4 duration 53 mins.
Job 2 Operation 5 duration 126 mins.
Job 3 Operation 7 duration 176 mins.
Job 0 Operation 8 duration 71 mins.
Job 7 Operation 8 duration 22 mins.
Job 10 Operation 8 duration 126 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 40 mins.
Job 10 Operation 0 duration 97 mins.
Job 1 Operation 1 duration 195 mins.
Job 4 Operation 2 duration 72 mins.
Job 11 Operation 2 duration 108 mins.
Job 2 Operation 3 duration 139 mins.
Job 3 Operation 4 duration 134 mins.
Job 6 Operation 6 duration 155 mins.
Job 8 Operation 8 duration 48 mins.
Job 0 Operation 9 duration 163 mins.
Job 5 Operation 10 duration 70 mins.
Job 9 Operation 11 duration 4 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 174 mins.
Job 10 Operation 1 duration 83 mins.
Job 6 Operation 4 duration 98 mins.
Job 0 Operation 5 duration 167 mins.
Job 1 Operation 6 duration 88 mins.
Job 3 Operation 6 duration 46 mins.
Job 8 Operation 6 duration 138 mins.
Job 11 Operation 8 duration 34 mins.
Job 5 Operation 9 duration 91 mins.
Job 7 Operation 9 duration 54 mins.
Job 9 Operation 10 duration 16 mins.
Job 2 Operation 11 duration 159 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 1 duration 124 mins.
Job 2 Operation 2 duration 1 mins.
Job 3 Operation 2 duration 72 mins.
Job 10 Operation 4 duration 147 mins.
Job 4 Operation 5 duration 80 mins.
Job 7 Operation 5 duration 76 mins.
Job 11 Operation 5 duration 73 mins.
Job 5 Operation 8 duration 70 mins.
Job 9 Operation 8 duration 65 mins.
Job 1 Operation 9 duration 73 mins.
Job 6 Operation 9 duration 149 mins.
Job 0 Operation 11 duration 194 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 80 mins.
Job 1 Operation 4 duration 29 mins.
Job 11 Operation 4 duration 75 mins.
Job 4 Operation 6 duration 159 mins.
Job 5 Operation 6 duration 183 mins.
Job 7 Operation 6 duration 113 mins.
Job 9 Operation 6 duration 178 mins.
Job 8 Operation 9 duration 43 mins.
Job 2 Operation 10 duration 46 mins.
Job 3 Operation 10 duration 18 mins.
Job 10 Operation 10 duration 48 mins.
Job 6 Operation 11 duration 171 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 129 mins.
Job 9 Operation 0 duration 172 mins.
Job 5 Operation 2 duration 59 mins.
Job 10 Operation 3 duration 151 mins.
Job 11 Operation 6 duration 84 mins.
Job 1 Operation 7 duration 62 mins.
Job 2 Operation 7 duration 120 mins.
Job 4 Operation 7 duration 24 mins.
Job 6 Operation 8 duration 158 mins.
Job 0 Operation 10 duration 114 mins.
Job 7 Operation 10 duration 21 mins.
Job 8 Operation 10 duration 38 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 2 duration 170 mins.
Job 7 Operation 2 duration 44 mins.
Job 10 Operation 2 duration 31 mins.
Job 0 Operation 3 duration 127 mins.
Job 8 Operation 4 duration 39 mins.
Job 3 Operation 5 duration 113 mins.
Job 5 Operation 5 duration 36 mins.
Job 9 Operation 5 duration 123 mins.
Job 2 Operation 6 duration 57 mins.
Job 11 Operation 9 duration 111 mins.
Job 1 Operation 11 duration 126 mins.
Job 4 Operation 11 duration 25 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 115 mins.
Job 5 Operation 0 duration 127 mins.
Job 6 Operation 0 duration 57 mins.
Job 9 Operation 1 duration 34 mins.
Job 4 Operation 3 duration 87 mins.
Job 8 Operation 3 duration 162 mins.
Job 0 Operation 4 duration 173 mins.
Job 2 Operation 4 duration 59 mins.
Job 7 Operation 4 duration 48 mins.
Job 10 Operation 6 duration 75 mins.
Job 3 Operation 8 duration 38 mins.
Job 11 Operation 10 duration 65 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 0 duration 132 mins.
Job 3 Operation 1 duration 171 mins.
Job 4 Operation 1 duration 173 mins.
Job 5 Operation 1 duration 193 mins.
Job 9 Operation 2 duration 20 mins.
Job 7 Operation 3 duration 80 mins.
Job 1 Operation 5 duration 181 mins.
Job 0 Operation 7 duration 38 mins.
Job 6 Operation 7 duration 66 mins.
Job 10 Operation 9 duration 149 mins.
Job 8 Operation 11 duration 137 mins.
Job 11 Operation 11 duration 55 mins.
Machine 9 is used for the following Operations:
Job 11 Operation 0 duration 181 mins.
Job 7 Operation 1 duration 149 mins.
Job 1 Operation 3 duration 150 mins.
Job 8 Operation 5 duration 167 mins.
Job 0 Operation 6 duration 9 mins.
Job 5 Operation 7 duration 12 mins.
Job 9 Operation 7 duration 118 mins.
Job 2 Operation 8 duration 122 mins.
Job 4 Operation 8 duration 178 mins.
Job 6 Operation 10 duration 106 mins.
Job 3 Operation 11 duration 193 mins.
Job 10 Operation 11 duration 86 mins.
Machine 10 is used for the following Operations:
Job 2 Operation 1 duration 111 mins.
Job 11 Operation 1 duration 119 mins.
Job 0 Operation 2 duration 92 mins.
Job 9 Operation 3 duration 142 mins.
Job 5 Operation 4 duration 23 mins.
Job 6 Operation 5 duration 105 mins.
Job 7 Operation 7 duration 73 mins.
Job 8 Operation 7 duration 1 mins.
Job 10 Operation 7 duration 57 mins.
Job 1 Operation 8 duration 38 mins.
Job 3 Operation 9 duration 116 mins.
Job 4 Operation 10 duration 167 mins.
Machine 11 is used for the following Operations:
Job 0 Operation 1 duration 44 mins.
Job 8 Operation 2 duration 95 mins.
Job 3 Operation 3 duration 31 mins.
Job 6 Operation 3 duration 171 mins.
Job 10 Operation 5 duration 154 mins.
Job 11 Operation 7 duration 7 mins.
Job 2 Operation 9 duration 166 mins.
Job 4 Operation 9 duration 137 mins.
Job 9 Operation 9 duration 11 mins.
Job 1 Operation 10 duration 82 mins.
Job 5 Operation 11 duration 145 mins.
Job 7 Operation 11 duration 141 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 180 -> 180
Job 10 Operation 0 on Machine 1 : 0 + 97 -> 97
Job 4 Operation 0 on Machine 2 : 0 + 174 -> 174
Job 0 Operation 0 on Machine 4 : 0 + 80 -> 80
Job 9 Operation 0 on Machine 5 : 0 + 172 -> 172
Job 1 Operation 0 on Machine 7 : 0 + 115 -> 115
Job 2 Operation 0 on Machine 8 : 0 + 132 -> 132
Job 11 Operation 0 on Machine 9 : 0 + 181 -> 181
Job 0 Operation 1 on Machine 11 : 80 + 44 -> 124
Job 1 Operation 1 on Machine 1 : 115 + 195 -> 310
Job 6 Operation 0 on Machine 7 : 115 + 57 -> 172
Job 0 Operation 2 on Machine 10 : 124 + 92 -> 216
Job 3 Operation 0 on Machine 5 : 172 + 129 -> 301
Job 9 Operation 1 on Machine 7 : 172 + 34 -> 206
Job 10 Operation 1 on Machine 2 : 174 + 83 -> 257
Job 6 Operation 1 on Machine 0 : 180 + 72 -> 252
Job 8 Operation 1 on Machine 3 : 180 + 124 -> 304
Job 5 Operation 0 on Machine 7 : 206 + 127 -> 333
Job 9 Operation 2 on Machine 8 : 206 + 20 -> 226
Job 0 Operation 3 on Machine 6 : 216 + 127 -> 343
Job 2 Operation 1 on Machine 10 : 216 + 111 -> 327
Job 4 Operation 1 on Machine 8 : 226 + 173 -> 399
Job 8 Operation 2 on Machine 11 : 304 + 95 -> 399
Job 1 Operation 2 on Machine 0 : 310 + 162 -> 472
Job 2 Operation 2 on Machine 3 : 327 + 1 -> 328
Job 9 Operation 3 on Machine 10 : 327 + 142 -> 469
Job 2 Operation 3 on Machine 1 : 328 + 139 -> 467
Job 6 Operation 2 on Machine 6 : 343 + 170 -> 513
Job 3 Operation 1 on Machine 8 : 399 + 171 -> 570
Job 4 Operation 2 on Machine 1 : 467 + 72 -> 539
Job 2 Operation 4 on Machine 7 : 467 + 59 -> 526
Job 11 Operation 1 on Machine 10 : 469 + 119 -> 588
Job 9 Operation 4 on Machine 0 : 472 + 53 -> 525
Job 1 Operation 3 on Machine 9 : 472 + 150 -> 622
Job 10 Operation 2 on Machine 6 : 513 + 31 -> 544
Job 6 Operation 3 on Machine 11 : 513 + 171 -> 684
Job 2 Operation 5 on Machine 0 : 526 + 126 -> 652
Job 7 Operation 0 on Machine 1 : 539 + 40 -> 579
Job 4 Operation 3 on Machine 7 : 539 + 87 -> 626
Job 10 Operation 3 on Machine 5 : 544 + 151 -> 695
Job 9 Operation 5 on Machine 6 : 544 + 123 -> 667
Job 3 Operation 2 on Machine 3 : 570 + 72 -> 642
Job 5 Operation 1 on Machine 8 : 570 + 193 -> 763
Job 11 Operation 2 on Machine 1 : 588 + 108 -> 696
Job 1 Operation 4 on Machine 4 : 622 + 29 -> 651
Job 7 Operation 1 on Machine 9 : 622 + 149 -> 771
Job 0 Operation 4 on Machine 7 : 626 + 173 -> 799
Job 4 Operation 4 on Machine 0 : 652 + 196 -> 848
Job 9 Operation 6 on Machine 4 : 667 + 178 -> 845
Job 2 Operation 6 on Machine 6 : 667 + 57 -> 724
Job 6 Operation 4 on Machine 2 : 684 + 98 -> 782
Job 3 Operation 3 on Machine 11 : 684 + 31 -> 715
Job 10 Operation 4 on Machine 3 : 695 + 147 -> 842
Job 3 Operation 4 on Machine 1 : 715 + 134 -> 849
Job 2 Operation 7 on Machine 5 : 724 + 120 -> 844
Job 1 Operation 5 on Machine 8 : 763 + 181 -> 944
Job 7 Operation 2 on Machine 6 : 771 + 44 -> 815
Job 6 Operation 5 on Machine 10 : 782 + 105 -> 887
Job 0 Operation 5 on Machine 2 : 799 + 167 -> 966
Job 8 Operation 3 on Machine 7 : 799 + 162 -> 961
Job 10 Operation 5 on Machine 11 : 842 + 154 -> 996
Job 5 Operation 2 on Machine 5 : 844 + 59 -> 903
Job 2 Operation 8 on Machine 9 : 844 + 122 -> 966
Job 11 Operation 3 on Machine 0 : 848 + 162 -> 1010
Job 4 Operation 5 on Machine 3 : 848 + 80 -> 928
Job 3 Operation 5 on Machine 6 : 849 + 113 -> 962
Job 6 Operation 6 on Machine 1 : 887 + 155 -> 1042
Job 4 Operation 6 on Machine 4 : 928 + 159 -> 1087
Job 7 Operation 3 on Machine 8 : 944 + 80 -> 1024
Job 8 Operation 4 on Machine 6 : 962 + 39 -> 1001
Job 3 Operation 6 on Machine 2 : 966 + 46 -> 1012
Job 0 Operation 6 on Machine 9 : 966 + 9 -> 975
Job 2 Operation 9 on Machine 11 : 996 + 166 -> 1162
Job 8 Operation 5 on Machine 9 : 1001 + 167 -> 1168
Job 5 Operation 3 on Machine 0 : 1010 + 184 -> 1194
Job 1 Operation 6 on Machine 2 : 1012 + 88 -> 1100
Job 7 Operation 4 on Machine 7 : 1024 + 48 -> 1072
Job 6 Operation 7 on Machine 8 : 1042 + 66 -> 1108
Job 7 Operation 5 on Machine 3 : 1072 + 76 -> 1148
Job 10 Operation 6 on Machine 7 : 1072 + 75 -> 1147
Job 11 Operation 4 on Machine 4 : 1087 + 75 -> 1162
Job 4 Operation 7 on Machine 5 : 1087 + 24 -> 1111
Job 0 Operation 7 on Machine 8 : 1108 + 38 -> 1146
Job 6 Operation 8 on Machine 5 : 1111 + 158 -> 1269
Job 11 Operation 5 on Machine 3 : 1162 + 73 -> 1235
Job 7 Operation 6 on Machine 4 : 1162 + 113 -> 1275
Job 8 Operation 6 on Machine 2 : 1168 + 138 -> 1306
Job 4 Operation 8 on Machine 9 : 1168 + 178 -> 1346
Job 3 Operation 7 on Machine 0 : 1194 + 176 -> 1370
Job 5 Operation 4 on Machine 10 : 1194 + 23 -> 1217
Job 5 Operation 5 on Machine 6 : 1217 + 36 -> 1253
Job 10 Operation 7 on Machine 10 : 1217 + 57 -> 1274
Job 6 Operation 9 on Machine 3 : 1269 + 149 -> 1418
Job 11 Operation 6 on Machine 5 : 1269 + 84 -> 1353
Job 5 Operation 6 on Machine 4 : 1275 + 183 -> 1458
Job 7 Operation 7 on Machine 10 : 1275 + 73 -> 1348
Job 9 Operation 7 on Machine 9 : 1346 + 118 -> 1464
Job 8 Operation 7 on Machine 10 : 1348 + 1 -> 1349
Job 8 Operation 8 on Machine 1 : 1349 + 48 -> 1397
Job 1 Operation 7 on Machine 5 : 1353 + 62 -> 1415
Job 11 Operation 7 on Machine 11 : 1353 + 7 -> 1360
Job 11 Operation 8 on Machine 2 : 1360 + 34 -> 1394
Job 4 Operation 9 on Machine 11 : 1360 + 137 -> 1497
Job 0 Operation 8 on Machine 0 : 1370 + 71 -> 1441
Job 3 Operation 8 on Machine 7 : 1370 + 38 -> 1408
Job 11 Operation 9 on Machine 6 : 1394 + 111 -> 1505
Job 1 Operation 8 on Machine 10 : 1415 + 38 -> 1453
Job 7 Operation 8 on Machine 0 : 1441 + 22 -> 1463
Job 0 Operation 9 on Machine 1 : 1441 + 163 -> 1604
Job 1 Operation 9 on Machine 3 : 1453 + 73 -> 1526
Job 3 Operation 9 on Machine 10 : 1453 + 116 -> 1569
Job 8 Operation 9 on Machine 4 : 1458 + 43 -> 1501
Job 10 Operation 8 on Machine 0 : 1463 + 126 -> 1589
Job 7 Operation 9 on Machine 2 : 1463 + 54 -> 1517
Job 5 Operation 7 on Machine 9 : 1464 + 12 -> 1476
Job 6 Operation 10 on Machine 9 : 1476 + 106 -> 1582
Job 2 Operation 10 on Machine 4 : 1501 + 46 -> 1547
Job 8 Operation 10 on Machine 5 : 1501 + 38 -> 1539
Job 11 Operation 10 on Machine 7 : 1505 + 65 -> 1570
Job 5 Operation 8 on Machine 3 : 1526 + 70 -> 1596
Job 1 Operation 10 on Machine 11 : 1526 + 82 -> 1608
Job 7 Operation 10 on Machine 5 : 1539 + 21 -> 1560
Job 3 Operation 10 on Machine 4 : 1569 + 18 -> 1587
Job 4 Operation 10 on Machine 10 : 1569 + 167 -> 1736
Job 11 Operation 11 on Machine 8 : 1570 + 55 -> 1625
Job 6 Operation 11 on Machine 4 : 1587 + 171 -> 1758
Job 3 Operation 11 on Machine 9 : 1587 + 193 -> 1780
Job 5 Operation 9 on Machine 2 : 1596 + 91 -> 1687
Job 9 Operation 8 on Machine 3 : 1596 + 65 -> 1661
Job 0 Operation 10 on Machine 5 : 1604 + 114 -> 1718
Job 7 Operation 11 on Machine 11 : 1608 + 141 -> 1749
Job 10 Operation 9 on Machine 8 : 1625 + 149 -> 1774
Job 5 Operation 10 on Machine 1 : 1687 + 70 -> 1757
Job 2 Operation 11 on Machine 2 : 1687 + 159 -> 1846
Job 0 Operation 11 on Machine 3 : 1718 + 194 -> 1912
Job 4 Operation 11 on Machine 6 : 1736 + 25 -> 1761
Job 9 Operation 9 on Machine 11 : 1749 + 11 -> 1760
Job 5 Operation 11 on Machine 11 : 1760 + 145 -> 1905
Job 1 Operation 11 on Machine 6 : 1761 + 126 -> 1887
Job 10 Operation 10 on Machine 4 : 1774 + 48 -> 1822
Job 8 Operation 11 on Machine 8 : 1774 + 137 -> 1911
Job 10 Operation 11 on Machine 9 : 1822 + 86 -> 1908
Job 9 Operation 10 on Machine 2 : 1846 + 16 -> 1862
Job 9 Operation 11 on Machine 1 : 1862 + 4 -> 1866
Makespan: 1912.0, as it is the maximum end completion time of Operation 11 |
6 | 5 | Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 15 mins.
Operation 1 on Machine 4 duration 73 mins.
Operation 2 on Machine 0 duration 349 mins.
Operation 3 on Machine 3 duration 191 mins.
Operation 4 on Machine 1 duration 241 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 57 mins.
Operation 1 on Machine 3 duration 307 mins.
Operation 2 on Machine 1 duration 312 mins.
Operation 3 on Machine 4 duration 381 mins.
Operation 4 on Machine 2 duration 213 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 229 mins.
Operation 1 on Machine 3 duration 239 mins.
Operation 2 on Machine 0 duration 106 mins.
Operation 3 on Machine 1 duration 17 mins.
Operation 4 on Machine 2 duration 269 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 180 mins.
Operation 1 on Machine 3 duration 393 mins.
Operation 2 on Machine 2 duration 151 mins.
Operation 3 on Machine 4 duration 311 mins.
Operation 4 on Machine 1 duration 50 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 189 mins.
Operation 1 on Machine 2 duration 218 mins.
Operation 2 on Machine 3 duration 346 mins.
Operation 3 on Machine 0 duration 236 mins.
Operation 4 on Machine 4 duration 59 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 329 mins.
Operation 1 on Machine 2 duration 167 mins.
Operation 2 on Machine 4 duration 142 mins.
Operation 3 on Machine 0 duration 85 mins.
Operation 4 on Machine 1 duration 119 mins.
| Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 57 mins.
Job 3 Operation 0 duration 180 mins.
Job 0 Operation 2 duration 349 mins.
Job 2 Operation 2 duration 106 mins.
Job 4 Operation 3 duration 236 mins.
Job 5 Operation 3 duration 85 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 189 mins.
Job 1 Operation 2 duration 312 mins.
Job 2 Operation 3 duration 17 mins.
Job 0 Operation 4 duration 241 mins.
Job 3 Operation 4 duration 50 mins.
Job 5 Operation 4 duration 119 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 15 mins.
Job 4 Operation 1 duration 218 mins.
Job 5 Operation 1 duration 167 mins.
Job 3 Operation 2 duration 151 mins.
Job 1 Operation 4 duration 213 mins.
Job 2 Operation 4 duration 269 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 329 mins.
Job 1 Operation 1 duration 307 mins.
Job 2 Operation 1 duration 239 mins.
Job 3 Operation 1 duration 393 mins.
Job 4 Operation 2 duration 346 mins.
Job 0 Operation 3 duration 191 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 229 mins.
Job 0 Operation 1 duration 73 mins.
Job 5 Operation 2 duration 142 mins.
Job 1 Operation 3 duration 381 mins.
Job 3 Operation 3 duration 311 mins.
Job 4 Operation 4 duration 59 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 57 -> 57
Job 4 Operation 0 on Machine 1 : 0 + 189 -> 189
Job 0 Operation 0 on Machine 2 : 0 + 15 -> 15
Job 5 Operation 0 on Machine 3 : 0 + 329 -> 329
Job 0 Operation 1 on Machine 4 : 15 + 73 -> 88
Job 0 Operation 2 on Machine 0 : 88 + 349 -> 437
Job 2 Operation 0 on Machine 4 : 88 + 229 -> 317
Job 4 Operation 1 on Machine 2 : 189 + 218 -> 407
Job 1 Operation 1 on Machine 3 : 329 + 307 -> 636
Job 5 Operation 1 on Machine 2 : 407 + 167 -> 574
Job 3 Operation 0 on Machine 0 : 437 + 180 -> 617
Job 5 Operation 2 on Machine 4 : 574 + 142 -> 716
Job 1 Operation 2 on Machine 1 : 636 + 312 -> 948
Job 3 Operation 1 on Machine 3 : 636 + 393 -> 1029
Job 5 Operation 3 on Machine 0 : 716 + 85 -> 801
Job 5 Operation 4 on Machine 1 : 948 + 119 -> 1067
Job 1 Operation 3 on Machine 4 : 948 + 381 -> 1329
Job 3 Operation 2 on Machine 2 : 1029 + 151 -> 1180
Job 4 Operation 2 on Machine 3 : 1029 + 346 -> 1375
Job 1 Operation 4 on Machine 2 : 1329 + 213 -> 1542
Job 3 Operation 3 on Machine 4 : 1329 + 311 -> 1640
Job 4 Operation 3 on Machine 0 : 1375 + 236 -> 1611
Job 2 Operation 1 on Machine 3 : 1375 + 239 -> 1614
Job 2 Operation 2 on Machine 0 : 1614 + 106 -> 1720
Job 0 Operation 3 on Machine 3 : 1614 + 191 -> 1805
Job 3 Operation 4 on Machine 1 : 1640 + 50 -> 1690
Job 4 Operation 4 on Machine 4 : 1640 + 59 -> 1699
Job 2 Operation 3 on Machine 1 : 1720 + 17 -> 1737
Job 2 Operation 4 on Machine 2 : 1737 + 269 -> 2006
Job 0 Operation 4 on Machine 1 : 1805 + 241 -> 2046
Makespan: 2046.0, as it is the maximum end completion time of Operation 4 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 67 mins.
Operation 1 on Machine 1 duration 92 mins.
Operation 2 on Machine 5 duration 136 mins.
Operation 3 on Machine 2 duration 9 mins.
Operation 4 on Machine 7 duration 144 mins.
Operation 5 on Machine 3 duration 141 mins.
Operation 6 on Machine 6 duration 158 mins.
Operation 7 on Machine 4 duration 19 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 246 mins.
Operation 1 on Machine 0 duration 165 mins.
Operation 2 on Machine 5 duration 25 mins.
Operation 3 on Machine 2 duration 161 mins.
Operation 4 on Machine 4 duration 262 mins.
Operation 5 on Machine 1 duration 2 mins.
Operation 6 on Machine 3 duration 69 mins.
Operation 7 on Machine 6 duration 138 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 41 mins.
Operation 1 on Machine 6 duration 180 mins.
Operation 2 on Machine 1 duration 214 mins.
Operation 3 on Machine 5 duration 256 mins.
Operation 4 on Machine 0 duration 254 mins.
Operation 5 on Machine 2 duration 160 mins.
Operation 6 on Machine 3 duration 219 mins.
Operation 7 on Machine 4 duration 41 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 99 mins.
Operation 1 on Machine 5 duration 231 mins.
Operation 2 on Machine 1 duration 170 mins.
Operation 3 on Machine 0 duration 66 mins.
Operation 4 on Machine 2 duration 109 mins.
Operation 5 on Machine 3 duration 121 mins.
Operation 6 on Machine 4 duration 123 mins.
Operation 7 on Machine 7 duration 14 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 187 mins.
Operation 1 on Machine 2 duration 157 mins.
Operation 2 on Machine 3 duration 55 mins.
Operation 3 on Machine 0 duration 94 mins.
Operation 4 on Machine 7 duration 161 mins.
Operation 5 on Machine 1 duration 232 mins.
Operation 6 on Machine 5 duration 83 mins.
Operation 7 on Machine 4 duration 137 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 3 mins.
Operation 1 on Machine 2 duration 80 mins.
Operation 2 on Machine 5 duration 234 mins.
Operation 3 on Machine 1 duration 81 mins.
Operation 4 on Machine 0 duration 81 mins.
Operation 5 on Machine 4 duration 204 mins.
Operation 6 on Machine 6 duration 137 mins.
Operation 7 on Machine 3 duration 244 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 62 mins.
Operation 1 on Machine 0 duration 222 mins.
Operation 2 on Machine 2 duration 34 mins.
Operation 3 on Machine 6 duration 95 mins.
Operation 4 on Machine 1 duration 72 mins.
Operation 5 on Machine 7 duration 248 mins.
Operation 6 on Machine 5 duration 174 mins.
Operation 7 on Machine 3 duration 98 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 62 mins.
Operation 1 on Machine 0 duration 121 mins.
Operation 2 on Machine 6 duration 52 mins.
Operation 3 on Machine 3 duration 174 mins.
Operation 4 on Machine 4 duration 75 mins.
Operation 5 on Machine 2 duration 63 mins.
Operation 6 on Machine 5 duration 252 mins.
Operation 7 on Machine 7 duration 176 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 238 mins.
Operation 1 on Machine 2 duration 143 mins.
Operation 2 on Machine 5 duration 98 mins.
Operation 3 on Machine 6 duration 197 mins.
Operation 4 on Machine 3 duration 66 mins.
Operation 5 on Machine 0 duration 148 mins.
Operation 6 on Machine 4 duration 97 mins.
Operation 7 on Machine 7 duration 104 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 217 mins.
Operation 1 on Machine 0 duration 57 mins.
Operation 2 on Machine 7 duration 213 mins.
Operation 3 on Machine 6 duration 136 mins.
Operation 4 on Machine 1 duration 239 mins.
Operation 5 on Machine 4 duration 11 mins.
Operation 6 on Machine 5 duration 174 mins.
Operation 7 on Machine 2 duration 108 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 67 mins.
Job 1 Operation 1 duration 165 mins.
Job 6 Operation 1 duration 222 mins.
Job 7 Operation 1 duration 121 mins.
Job 9 Operation 1 duration 57 mins.
Job 3 Operation 3 duration 66 mins.
Job 4 Operation 3 duration 94 mins.
Job 2 Operation 4 duration 254 mins.
Job 5 Operation 4 duration 81 mins.
Job 8 Operation 5 duration 148 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 62 mins.
Job 8 Operation 0 duration 238 mins.
Job 0 Operation 1 duration 92 mins.
Job 2 Operation 2 duration 214 mins.
Job 3 Operation 2 duration 170 mins.
Job 5 Operation 3 duration 81 mins.
Job 6 Operation 4 duration 72 mins.
Job 9 Operation 4 duration 239 mins.
Job 1 Operation 5 duration 2 mins.
Job 4 Operation 5 duration 232 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 1 duration 157 mins.
Job 5 Operation 1 duration 80 mins.
Job 8 Operation 1 duration 143 mins.
Job 6 Operation 2 duration 34 mins.
Job 0 Operation 3 duration 9 mins.
Job 1 Operation 3 duration 161 mins.
Job 3 Operation 4 duration 109 mins.
Job 2 Operation 5 duration 160 mins.
Job 7 Operation 5 duration 63 mins.
Job 9 Operation 7 duration 108 mins.
Machine 3 is used for the following Operations:
Job 9 Operation 0 duration 217 mins.
Job 4 Operation 2 duration 55 mins.
Job 7 Operation 3 duration 174 mins.
Job 8 Operation 4 duration 66 mins.
Job 0 Operation 5 duration 141 mins.
Job 3 Operation 5 duration 121 mins.
Job 1 Operation 6 duration 69 mins.
Job 2 Operation 6 duration 219 mins.
Job 5 Operation 7 duration 244 mins.
Job 6 Operation 7 duration 98 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 62 mins.
Job 1 Operation 4 duration 262 mins.
Job 7 Operation 4 duration 75 mins.
Job 5 Operation 5 duration 204 mins.
Job 9 Operation 5 duration 11 mins.
Job 3 Operation 6 duration 123 mins.
Job 8 Operation 6 duration 97 mins.
Job 0 Operation 7 duration 19 mins.
Job 2 Operation 7 duration 41 mins.
Job 4 Operation 7 duration 137 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 1 duration 231 mins.
Job 0 Operation 2 duration 136 mins.
Job 1 Operation 2 duration 25 mins.
Job 5 Operation 2 duration 234 mins.
Job 8 Operation 2 duration 98 mins.
Job 2 Operation 3 duration 256 mins.
Job 4 Operation 6 duration 83 mins.
Job 6 Operation 6 duration 174 mins.
Job 7 Operation 6 duration 252 mins.
Job 9 Operation 6 duration 174 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 99 mins.
Job 4 Operation 0 duration 187 mins.
Job 2 Operation 1 duration 180 mins.
Job 7 Operation 2 duration 52 mins.
Job 6 Operation 3 duration 95 mins.
Job 8 Operation 3 duration 197 mins.
Job 9 Operation 3 duration 136 mins.
Job 0 Operation 6 duration 158 mins.
Job 5 Operation 6 duration 137 mins.
Job 1 Operation 7 duration 138 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 246 mins.
Job 2 Operation 0 duration 41 mins.
Job 5 Operation 0 duration 3 mins.
Job 9 Operation 2 duration 213 mins.
Job 0 Operation 4 duration 144 mins.
Job 4 Operation 4 duration 161 mins.
Job 6 Operation 5 duration 248 mins.
Job 3 Operation 7 duration 14 mins.
Job 7 Operation 7 duration 176 mins.
Job 8 Operation 7 duration 104 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 67 -> 67
Job 8 Operation 0 on Machine 1 : 0 + 238 -> 238
Job 9 Operation 0 on Machine 3 : 0 + 217 -> 217
Job 6 Operation 0 on Machine 4 : 0 + 62 -> 62
Job 3 Operation 0 on Machine 6 : 0 + 99 -> 99
Job 5 Operation 0 on Machine 7 : 0 + 3 -> 3
Job 5 Operation 1 on Machine 2 : 3 + 80 -> 83
Job 1 Operation 0 on Machine 7 : 3 + 246 -> 249
Job 6 Operation 1 on Machine 0 : 67 + 222 -> 289
Job 5 Operation 2 on Machine 5 : 83 + 234 -> 317
Job 4 Operation 0 on Machine 6 : 99 + 187 -> 286
Job 0 Operation 1 on Machine 1 : 238 + 92 -> 330
Job 8 Operation 1 on Machine 2 : 238 + 143 -> 381
Job 2 Operation 0 on Machine 7 : 249 + 41 -> 290
Job 9 Operation 1 on Machine 0 : 289 + 57 -> 346
Job 2 Operation 1 on Machine 6 : 290 + 180 -> 470
Job 3 Operation 1 on Machine 5 : 317 + 231 -> 548
Job 7 Operation 0 on Machine 1 : 330 + 62 -> 392
Job 9 Operation 2 on Machine 7 : 346 + 213 -> 559
Job 4 Operation 1 on Machine 2 : 381 + 157 -> 538
Job 7 Operation 1 on Machine 0 : 392 + 121 -> 513
Job 5 Operation 3 on Machine 1 : 392 + 81 -> 473
Job 2 Operation 2 on Machine 1 : 473 + 214 -> 687
Job 1 Operation 1 on Machine 0 : 513 + 165 -> 678
Job 7 Operation 2 on Machine 6 : 513 + 52 -> 565
Job 6 Operation 2 on Machine 2 : 538 + 34 -> 572
Job 0 Operation 2 on Machine 5 : 548 + 136 -> 684
Job 7 Operation 3 on Machine 3 : 565 + 174 -> 739
Job 9 Operation 3 on Machine 6 : 565 + 136 -> 701
Job 5 Operation 4 on Machine 0 : 678 + 81 -> 759
Job 0 Operation 3 on Machine 2 : 684 + 9 -> 693
Job 1 Operation 2 on Machine 5 : 684 + 25 -> 709
Job 3 Operation 2 on Machine 1 : 687 + 170 -> 857
Job 0 Operation 4 on Machine 7 : 693 + 144 -> 837
Job 6 Operation 3 on Machine 6 : 701 + 95 -> 796
Job 1 Operation 3 on Machine 2 : 709 + 161 -> 870
Job 8 Operation 2 on Machine 5 : 709 + 98 -> 807
Job 4 Operation 2 on Machine 3 : 739 + 55 -> 794
Job 7 Operation 4 on Machine 4 : 739 + 75 -> 814
Job 2 Operation 3 on Machine 5 : 807 + 256 -> 1063
Job 8 Operation 3 on Machine 6 : 807 + 197 -> 1004
Job 5 Operation 5 on Machine 4 : 814 + 204 -> 1018
Job 0 Operation 5 on Machine 3 : 837 + 141 -> 978
Job 3 Operation 3 on Machine 0 : 857 + 66 -> 923
Job 9 Operation 4 on Machine 1 : 857 + 239 -> 1096
Job 7 Operation 5 on Machine 2 : 870 + 63 -> 933
Job 4 Operation 3 on Machine 0 : 923 + 94 -> 1017
Job 3 Operation 4 on Machine 2 : 933 + 109 -> 1042
Job 8 Operation 4 on Machine 3 : 1004 + 66 -> 1070
Job 4 Operation 4 on Machine 7 : 1017 + 161 -> 1178
Job 1 Operation 4 on Machine 4 : 1018 + 262 -> 1280
Job 5 Operation 6 on Machine 6 : 1018 + 137 -> 1155
Job 2 Operation 4 on Machine 0 : 1063 + 254 -> 1317
Job 7 Operation 6 on Machine 5 : 1063 + 252 -> 1315
Job 3 Operation 5 on Machine 3 : 1070 + 121 -> 1191
Job 6 Operation 4 on Machine 1 : 1096 + 72 -> 1168
Job 0 Operation 6 on Machine 6 : 1155 + 158 -> 1313
Job 4 Operation 5 on Machine 1 : 1178 + 232 -> 1410
Job 6 Operation 5 on Machine 7 : 1178 + 248 -> 1426
Job 5 Operation 7 on Machine 3 : 1191 + 244 -> 1435
Job 9 Operation 5 on Machine 4 : 1280 + 11 -> 1291
Job 3 Operation 6 on Machine 4 : 1291 + 123 -> 1414
Job 9 Operation 6 on Machine 5 : 1315 + 174 -> 1489
Job 8 Operation 5 on Machine 0 : 1317 + 148 -> 1465
Job 2 Operation 5 on Machine 2 : 1317 + 160 -> 1477
Job 1 Operation 5 on Machine 1 : 1410 + 2 -> 1412
Job 3 Operation 7 on Machine 7 : 1426 + 14 -> 1440
Job 1 Operation 6 on Machine 3 : 1435 + 69 -> 1504
Job 7 Operation 7 on Machine 7 : 1440 + 176 -> 1616
Job 8 Operation 6 on Machine 4 : 1465 + 97 -> 1562
Job 9 Operation 7 on Machine 2 : 1489 + 108 -> 1597
Job 4 Operation 6 on Machine 5 : 1489 + 83 -> 1572
Job 2 Operation 6 on Machine 3 : 1504 + 219 -> 1723
Job 1 Operation 7 on Machine 6 : 1504 + 138 -> 1642
Job 0 Operation 7 on Machine 4 : 1562 + 19 -> 1581
Job 6 Operation 6 on Machine 5 : 1572 + 174 -> 1746
Job 4 Operation 7 on Machine 4 : 1581 + 137 -> 1718
Job 8 Operation 7 on Machine 7 : 1616 + 104 -> 1720
Job 2 Operation 7 on Machine 4 : 1723 + 41 -> 1764
Job 6 Operation 7 on Machine 3 : 1746 + 98 -> 1844
Makespan: 1844.0, as it is the maximum end completion time of Operation 7 |
8 | 5 | Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 85 mins.
Operation 1 on Machine 4 duration 89 mins.
Operation 2 on Machine 1 duration 169 mins.
Operation 3 on Machine 3 duration 208 mins.
Operation 4 on Machine 2 duration 125 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 193 mins.
Operation 1 on Machine 3 duration 136 mins.
Operation 2 on Machine 0 duration 247 mins.
Operation 3 on Machine 2 duration 78 mins.
Operation 4 on Machine 1 duration 222 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 50 mins.
Operation 1 on Machine 2 duration 195 mins.
Operation 2 on Machine 1 duration 54 mins.
Operation 3 on Machine 3 duration 77 mins.
Operation 4 on Machine 0 duration 222 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 4 duration 233 mins.
Operation 2 on Machine 3 duration 231 mins.
Operation 3 on Machine 0 duration 160 mins.
Operation 4 on Machine 2 duration 204 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 188 mins.
Operation 1 on Machine 2 duration 93 mins.
Operation 2 on Machine 3 duration 72 mins.
Operation 3 on Machine 1 duration 89 mins.
Operation 4 on Machine 0 duration 247 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 146 mins.
Operation 1 on Machine 2 duration 199 mins.
Operation 2 on Machine 1 duration 4 mins.
Operation 3 on Machine 4 duration 171 mins.
Operation 4 on Machine 3 duration 110 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 138 mins.
Operation 1 on Machine 4 duration 89 mins.
Operation 2 on Machine 1 duration 231 mins.
Operation 3 on Machine 3 duration 147 mins.
Operation 4 on Machine 2 duration 99 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 10 mins.
Operation 1 on Machine 1 duration 184 mins.
Operation 2 on Machine 4 duration 44 mins.
Operation 3 on Machine 0 duration 176 mins.
Operation 4 on Machine 3 duration 208 mins.
| Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 85 mins.
Job 5 Operation 0 duration 146 mins.
Job 6 Operation 0 duration 138 mins.
Job 1 Operation 2 duration 247 mins.
Job 3 Operation 3 duration 160 mins.
Job 7 Operation 3 duration 176 mins.
Job 2 Operation 4 duration 222 mins.
Job 4 Operation 4 duration 247 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 18 mins.
Job 7 Operation 1 duration 184 mins.
Job 0 Operation 2 duration 169 mins.
Job 2 Operation 2 duration 54 mins.
Job 5 Operation 2 duration 4 mins.
Job 6 Operation 2 duration 231 mins.
Job 4 Operation 3 duration 89 mins.
Job 1 Operation 4 duration 222 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 10 mins.
Job 2 Operation 1 duration 195 mins.
Job 4 Operation 1 duration 93 mins.
Job 5 Operation 1 duration 199 mins.
Job 1 Operation 3 duration 78 mins.
Job 0 Operation 4 duration 125 mins.
Job 3 Operation 4 duration 204 mins.
Job 6 Operation 4 duration 99 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 136 mins.
Job 3 Operation 2 duration 231 mins.
Job 4 Operation 2 duration 72 mins.
Job 0 Operation 3 duration 208 mins.
Job 2 Operation 3 duration 77 mins.
Job 6 Operation 3 duration 147 mins.
Job 5 Operation 4 duration 110 mins.
Job 7 Operation 4 duration 208 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 193 mins.
Job 2 Operation 0 duration 50 mins.
Job 4 Operation 0 duration 188 mins.
Job 0 Operation 1 duration 89 mins.
Job 3 Operation 1 duration 233 mins.
Job 6 Operation 1 duration 89 mins.
Job 7 Operation 2 duration 44 mins.
Job 5 Operation 3 duration 171 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 138 -> 138
Job 3 Operation 0 on Machine 1 : 0 + 18 -> 18
Job 7 Operation 0 on Machine 2 : 0 + 10 -> 10
Job 7 Operation 1 on Machine 1 : 18 + 184 -> 202
Job 3 Operation 1 on Machine 4 : 18 + 233 -> 251
Job 5 Operation 0 on Machine 0 : 138 + 146 -> 284
Job 3 Operation 2 on Machine 3 : 251 + 231 -> 482
Job 7 Operation 2 on Machine 4 : 251 + 44 -> 295
Job 0 Operation 0 on Machine 0 : 284 + 85 -> 369
Job 5 Operation 1 on Machine 2 : 284 + 199 -> 483
Job 1 Operation 0 on Machine 4 : 295 + 193 -> 488
Job 7 Operation 3 on Machine 0 : 369 + 176 -> 545
Job 5 Operation 2 on Machine 1 : 483 + 4 -> 487
Job 1 Operation 1 on Machine 3 : 488 + 136 -> 624
Job 2 Operation 0 on Machine 4 : 488 + 50 -> 538
Job 2 Operation 1 on Machine 2 : 538 + 195 -> 733
Job 0 Operation 1 on Machine 4 : 538 + 89 -> 627
Job 3 Operation 3 on Machine 0 : 545 + 160 -> 705
Job 7 Operation 4 on Machine 3 : 624 + 208 -> 832
Job 0 Operation 2 on Machine 1 : 627 + 169 -> 796
Job 4 Operation 0 on Machine 4 : 627 + 188 -> 815
Job 1 Operation 2 on Machine 0 : 705 + 247 -> 952
Job 2 Operation 2 on Machine 1 : 796 + 54 -> 850
Job 4 Operation 1 on Machine 2 : 815 + 93 -> 908
Job 6 Operation 1 on Machine 4 : 815 + 89 -> 904
Job 2 Operation 3 on Machine 3 : 850 + 77 -> 927
Job 6 Operation 2 on Machine 1 : 904 + 231 -> 1135
Job 5 Operation 3 on Machine 4 : 904 + 171 -> 1075
Job 3 Operation 4 on Machine 2 : 908 + 204 -> 1112
Job 4 Operation 2 on Machine 3 : 927 + 72 -> 999
Job 2 Operation 4 on Machine 0 : 952 + 222 -> 1174
Job 0 Operation 3 on Machine 3 : 999 + 208 -> 1207
Job 1 Operation 3 on Machine 2 : 1112 + 78 -> 1190
Job 4 Operation 3 on Machine 1 : 1135 + 89 -> 1224
Job 0 Operation 4 on Machine 2 : 1207 + 125 -> 1332
Job 6 Operation 3 on Machine 3 : 1207 + 147 -> 1354
Job 4 Operation 4 on Machine 0 : 1224 + 247 -> 1471
Job 1 Operation 4 on Machine 1 : 1224 + 222 -> 1446
Job 6 Operation 4 on Machine 2 : 1354 + 99 -> 1453
Job 5 Operation 4 on Machine 3 : 1354 + 110 -> 1464
Makespan: 1471.0, as it is the maximum end completion time of Operation 4 |
2 | 2 | Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 205 mins.
Operation 1 on Machine 0 duration 66 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 30 mins.
Operation 1 on Machine 0 duration 192 mins.
| Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 66 mins.
Job 1 Operation 1 duration 192 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 205 mins.
Job 1 Operation 0 duration 30 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 30 -> 30
Job 1 Operation 1 on Machine 0 : 30 + 192 -> 222
Job 0 Operation 0 on Machine 1 : 30 + 205 -> 235
Job 0 Operation 1 on Machine 0 : 235 + 66 -> 301
Makespan: 301.0, as it is the maximum end completion time of Operation 1 |
6 | 5 | Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 263 mins.
Operation 1 on Machine 3 duration 267 mins.
Operation 2 on Machine 4 duration 220 mins.
Operation 3 on Machine 2 duration 106 mins.
Operation 4 on Machine 0 duration 121 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 127 mins.
Operation 1 on Machine 4 duration 249 mins.
Operation 2 on Machine 3 duration 240 mins.
Operation 3 on Machine 2 duration 195 mins.
Operation 4 on Machine 1 duration 219 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 168 mins.
Operation 1 on Machine 1 duration 140 mins.
Operation 2 on Machine 2 duration 80 mins.
Operation 3 on Machine 4 duration 140 mins.
Operation 4 on Machine 3 duration 214 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 268 mins.
Operation 1 on Machine 4 duration 193 mins.
Operation 2 on Machine 3 duration 265 mins.
Operation 3 on Machine 1 duration 105 mins.
Operation 4 on Machine 0 duration 227 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 244 mins.
Operation 1 on Machine 2 duration 162 mins.
Operation 2 on Machine 3 duration 212 mins.
Operation 3 on Machine 4 duration 42 mins.
Operation 4 on Machine 1 duration 95 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 168 mins.
Operation 1 on Machine 1 duration 75 mins.
Operation 2 on Machine 4 duration 114 mins.
Operation 3 on Machine 0 duration 181 mins.
Operation 4 on Machine 3 duration 80 mins.
| Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 127 mins.
Job 2 Operation 0 duration 168 mins.
Job 4 Operation 0 duration 244 mins.
Job 5 Operation 3 duration 181 mins.
Job 0 Operation 4 duration 121 mins.
Job 3 Operation 4 duration 227 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 263 mins.
Job 2 Operation 1 duration 140 mins.
Job 5 Operation 1 duration 75 mins.
Job 3 Operation 3 duration 105 mins.
Job 1 Operation 4 duration 219 mins.
Job 4 Operation 4 duration 95 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 268 mins.
Job 5 Operation 0 duration 168 mins.
Job 4 Operation 1 duration 162 mins.
Job 2 Operation 2 duration 80 mins.
Job 0 Operation 3 duration 106 mins.
Job 1 Operation 3 duration 195 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 267 mins.
Job 1 Operation 2 duration 240 mins.
Job 3 Operation 2 duration 265 mins.
Job 4 Operation 2 duration 212 mins.
Job 2 Operation 4 duration 214 mins.
Job 5 Operation 4 duration 80 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 1 duration 249 mins.
Job 3 Operation 1 duration 193 mins.
Job 0 Operation 2 duration 220 mins.
Job 5 Operation 2 duration 114 mins.
Job 2 Operation 3 duration 140 mins.
Job 4 Operation 3 duration 42 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 127 -> 127
Job 0 Operation 0 on Machine 1 : 0 + 263 -> 263
Job 3 Operation 0 on Machine 2 : 0 + 268 -> 268
Job 2 Operation 0 on Machine 0 : 127 + 168 -> 295
Job 1 Operation 1 on Machine 4 : 127 + 249 -> 376
Job 0 Operation 1 on Machine 3 : 263 + 267 -> 530
Job 5 Operation 0 on Machine 2 : 268 + 168 -> 436
Job 4 Operation 0 on Machine 0 : 295 + 244 -> 539
Job 2 Operation 1 on Machine 1 : 295 + 140 -> 435
Job 3 Operation 1 on Machine 4 : 376 + 193 -> 569
Job 5 Operation 1 on Machine 1 : 436 + 75 -> 511
Job 2 Operation 2 on Machine 2 : 436 + 80 -> 516
Job 1 Operation 2 on Machine 3 : 530 + 240 -> 770
Job 4 Operation 1 on Machine 2 : 539 + 162 -> 701
Job 0 Operation 2 on Machine 4 : 569 + 220 -> 789
Job 3 Operation 2 on Machine 3 : 770 + 265 -> 1035
Job 0 Operation 3 on Machine 2 : 789 + 106 -> 895
Job 5 Operation 2 on Machine 4 : 789 + 114 -> 903
Job 0 Operation 4 on Machine 0 : 895 + 121 -> 1016
Job 1 Operation 3 on Machine 2 : 895 + 195 -> 1090
Job 2 Operation 3 on Machine 4 : 903 + 140 -> 1043
Job 5 Operation 3 on Machine 0 : 1016 + 181 -> 1197
Job 3 Operation 3 on Machine 1 : 1035 + 105 -> 1140
Job 4 Operation 2 on Machine 3 : 1035 + 212 -> 1247
Job 1 Operation 4 on Machine 1 : 1140 + 219 -> 1359
Job 3 Operation 4 on Machine 0 : 1197 + 227 -> 1424
Job 5 Operation 4 on Machine 3 : 1247 + 80 -> 1327
Job 4 Operation 3 on Machine 4 : 1247 + 42 -> 1289
Job 2 Operation 4 on Machine 3 : 1327 + 214 -> 1541
Job 4 Operation 4 on Machine 1 : 1359 + 95 -> 1454
Makespan: 1541.0, as it is the maximum end completion time of Operation 4 |
10 | 3 | Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 64 mins.
Operation 1 on Machine 2 duration 175 mins.
Operation 2 on Machine 0 duration 14 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 10 mins.
Operation 1 on Machine 0 duration 23 mins.
Operation 2 on Machine 2 duration 117 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 205 mins.
Operation 1 on Machine 2 duration 244 mins.
Operation 2 on Machine 0 duration 225 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 212 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 2 duration 271 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 238 mins.
Operation 1 on Machine 2 duration 72 mins.
Operation 2 on Machine 0 duration 235 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 111 mins.
Operation 1 on Machine 1 duration 2 mins.
Operation 2 on Machine 0 duration 230 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 120 mins.
Operation 1 on Machine 2 duration 259 mins.
Operation 2 on Machine 1 duration 277 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 50 mins.
Operation 1 on Machine 2 duration 348 mins.
Operation 2 on Machine 1 duration 14 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 262 mins.
Operation 1 on Machine 0 duration 89 mins.
Operation 2 on Machine 1 duration 255 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 374 mins.
Operation 1 on Machine 1 duration 170 mins.
Operation 2 on Machine 0 duration 170 mins.
| Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 212 mins.
Job 6 Operation 0 duration 120 mins.
Job 7 Operation 0 duration 50 mins.
Job 1 Operation 1 duration 23 mins.
Job 8 Operation 1 duration 89 mins.
Job 0 Operation 2 duration 14 mins.
Job 2 Operation 2 duration 225 mins.
Job 4 Operation 2 duration 235 mins.
Job 5 Operation 2 duration 230 mins.
Job 9 Operation 2 duration 170 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 64 mins.
Job 1 Operation 0 duration 10 mins.
Job 2 Operation 0 duration 205 mins.
Job 4 Operation 0 duration 238 mins.
Job 3 Operation 1 duration 12 mins.
Job 5 Operation 1 duration 2 mins.
Job 9 Operation 1 duration 170 mins.
Job 6 Operation 2 duration 277 mins.
Job 7 Operation 2 duration 14 mins.
Job 8 Operation 2 duration 255 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 111 mins.
Job 8 Operation 0 duration 262 mins.
Job 9 Operation 0 duration 374 mins.
Job 0 Operation 1 duration 175 mins.
Job 2 Operation 1 duration 244 mins.
Job 4 Operation 1 duration 72 mins.
Job 6 Operation 1 duration 259 mins.
Job 7 Operation 1 duration 348 mins.
Job 1 Operation 2 duration 117 mins.
Job 3 Operation 2 duration 271 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 120 -> 120
Job 1 Operation 0 on Machine 1 : 0 + 10 -> 10
Job 9 Operation 0 on Machine 2 : 0 + 374 -> 374
Job 2 Operation 0 on Machine 1 : 10 + 205 -> 215
Job 1 Operation 1 on Machine 0 : 120 + 23 -> 143
Job 3 Operation 0 on Machine 0 : 143 + 212 -> 355
Job 0 Operation 0 on Machine 1 : 215 + 64 -> 279
Job 7 Operation 0 on Machine 0 : 355 + 50 -> 405
Job 3 Operation 1 on Machine 1 : 355 + 12 -> 367
Job 9 Operation 1 on Machine 1 : 374 + 170 -> 544
Job 3 Operation 2 on Machine 2 : 374 + 271 -> 645
Job 9 Operation 2 on Machine 0 : 544 + 170 -> 714
Job 4 Operation 0 on Machine 1 : 544 + 238 -> 782
Job 8 Operation 0 on Machine 2 : 645 + 262 -> 907
Job 8 Operation 1 on Machine 0 : 907 + 89 -> 996
Job 2 Operation 1 on Machine 2 : 907 + 244 -> 1151
Job 8 Operation 2 on Machine 1 : 996 + 255 -> 1251
Job 2 Operation 2 on Machine 0 : 1151 + 225 -> 1376
Job 6 Operation 1 on Machine 2 : 1151 + 259 -> 1410
Job 6 Operation 2 on Machine 1 : 1410 + 277 -> 1687
Job 4 Operation 1 on Machine 2 : 1410 + 72 -> 1482
Job 4 Operation 2 on Machine 0 : 1482 + 235 -> 1717
Job 7 Operation 1 on Machine 2 : 1482 + 348 -> 1830
Job 7 Operation 2 on Machine 1 : 1830 + 14 -> 1844
Job 5 Operation 0 on Machine 2 : 1830 + 111 -> 1941
Job 5 Operation 1 on Machine 1 : 1941 + 2 -> 1943
Job 0 Operation 1 on Machine 2 : 1941 + 175 -> 2116
Job 5 Operation 2 on Machine 0 : 1943 + 230 -> 2173
Job 1 Operation 2 on Machine 2 : 2116 + 117 -> 2233
Job 0 Operation 2 on Machine 0 : 2173 + 14 -> 2187
Makespan: 2233.0, as it is the maximum end completion time of Operation 2 |
9 | 7 | Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 16 mins.
Operation 1 on Machine 3 duration 13 mins.
Operation 2 on Machine 5 duration 22 mins.
Operation 3 on Machine 1 duration 45 mins.
Operation 4 on Machine 0 duration 46 mins.
Operation 5 on Machine 2 duration 26 mins.
Operation 6 on Machine 4 duration 75 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 86 mins.
Operation 1 on Machine 5 duration 75 mins.
Operation 2 on Machine 1 duration 52 mins.
Operation 3 on Machine 6 duration 21 mins.
Operation 4 on Machine 4 duration 2 mins.
Operation 5 on Machine 2 duration 87 mins.
Operation 6 on Machine 0 duration 9 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 29 mins.
Operation 1 on Machine 4 duration 39 mins.
Operation 2 on Machine 1 duration 12 mins.
Operation 3 on Machine 3 duration 13 mins.
Operation 4 on Machine 2 duration 96 mins.
Operation 5 on Machine 6 duration 98 mins.
Operation 6 on Machine 0 duration 102 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 27 mins.
Operation 1 on Machine 0 duration 73 mins.
Operation 2 on Machine 2 duration 77 mins.
Operation 3 on Machine 1 duration 73 mins.
Operation 4 on Machine 4 duration 37 mins.
Operation 5 on Machine 3 duration 15 mins.
Operation 6 on Machine 5 duration 85 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 99 mins.
Operation 1 on Machine 4 duration 59 mins.
Operation 2 on Machine 5 duration 67 mins.
Operation 3 on Machine 6 duration 80 mins.
Operation 4 on Machine 2 duration 52 mins.
Operation 5 on Machine 0 duration 86 mins.
Operation 6 on Machine 1 duration 4 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 3 duration 63 mins.
Operation 2 on Machine 0 duration 113 mins.
Operation 3 on Machine 2 duration 108 mins.
Operation 4 on Machine 5 duration 6 mins.
Operation 5 on Machine 4 duration 16 mins.
Operation 6 on Machine 6 duration 11 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 112 mins.
Operation 1 on Machine 4 duration 63 mins.
Operation 2 on Machine 0 duration 43 mins.
Operation 3 on Machine 1 duration 77 mins.
Operation 4 on Machine 2 duration 65 mins.
Operation 5 on Machine 5 duration 75 mins.
Operation 6 on Machine 6 duration 57 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 19 mins.
Operation 1 on Machine 6 duration 92 mins.
Operation 2 on Machine 0 duration 45 mins.
Operation 3 on Machine 5 duration 17 mins.
Operation 4 on Machine 1 duration 59 mins.
Operation 5 on Machine 2 duration 19 mins.
Operation 6 on Machine 3 duration 71 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 13 mins.
Operation 1 on Machine 1 duration 90 mins.
Operation 2 on Machine 5 duration 21 mins.
Operation 3 on Machine 6 duration 114 mins.
Operation 4 on Machine 3 duration 85 mins.
Operation 5 on Machine 2 duration 10 mins.
Operation 6 on Machine 0 duration 44 mins.
| Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 73 mins.
Job 5 Operation 2 duration 113 mins.
Job 6 Operation 2 duration 43 mins.
Job 7 Operation 2 duration 45 mins.
Job 0 Operation 4 duration 46 mins.
Job 4 Operation 5 duration 86 mins.
Job 1 Operation 6 duration 9 mins.
Job 2 Operation 6 duration 102 mins.
Job 8 Operation 6 duration 44 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 18 mins.
Job 8 Operation 1 duration 90 mins.
Job 1 Operation 2 duration 52 mins.
Job 2 Operation 2 duration 12 mins.
Job 0 Operation 3 duration 45 mins.
Job 3 Operation 3 duration 73 mins.
Job 6 Operation 3 duration 77 mins.
Job 7 Operation 4 duration 59 mins.
Job 4 Operation 6 duration 4 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 2 duration 77 mins.
Job 5 Operation 3 duration 108 mins.
Job 2 Operation 4 duration 96 mins.
Job 4 Operation 4 duration 52 mins.
Job 6 Operation 4 duration 65 mins.
Job 0 Operation 5 duration 26 mins.
Job 1 Operation 5 duration 87 mins.
Job 7 Operation 5 duration 19 mins.
Job 8 Operation 5 duration 10 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 86 mins.
Job 4 Operation 0 duration 99 mins.
Job 6 Operation 0 duration 112 mins.
Job 0 Operation 1 duration 13 mins.
Job 5 Operation 1 duration 63 mins.
Job 2 Operation 3 duration 13 mins.
Job 8 Operation 4 duration 85 mins.
Job 3 Operation 5 duration 15 mins.
Job 7 Operation 6 duration 71 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 0 duration 19 mins.
Job 8 Operation 0 duration 13 mins.
Job 2 Operation 1 duration 39 mins.
Job 4 Operation 1 duration 59 mins.
Job 6 Operation 1 duration 63 mins.
Job 1 Operation 4 duration 2 mins.
Job 3 Operation 4 duration 37 mins.
Job 5 Operation 5 duration 16 mins.
Job 0 Operation 6 duration 75 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 29 mins.
Job 1 Operation 1 duration 75 mins.
Job 0 Operation 2 duration 22 mins.
Job 4 Operation 2 duration 67 mins.
Job 8 Operation 2 duration 21 mins.
Job 7 Operation 3 duration 17 mins.
Job 5 Operation 4 duration 6 mins.
Job 6 Operation 5 duration 75 mins.
Job 3 Operation 6 duration 85 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 16 mins.
Job 3 Operation 0 duration 27 mins.
Job 7 Operation 1 duration 92 mins.
Job 1 Operation 3 duration 21 mins.
Job 4 Operation 3 duration 80 mins.
Job 8 Operation 3 duration 114 mins.
Job 2 Operation 5 duration 98 mins.
Job 5 Operation 6 duration 11 mins.
Job 6 Operation 6 duration 57 mins.
| Solution:
Job 5 Operation 0 on Machine 1 : 0 + 18 -> 18
Job 6 Operation 0 on Machine 3 : 0 + 112 -> 112
Job 8 Operation 0 on Machine 4 : 0 + 13 -> 13
Job 2 Operation 0 on Machine 5 : 0 + 29 -> 29
Job 3 Operation 0 on Machine 6 : 0 + 27 -> 27
Job 7 Operation 0 on Machine 4 : 13 + 19 -> 32
Job 8 Operation 1 on Machine 1 : 18 + 90 -> 108
Job 3 Operation 1 on Machine 0 : 27 + 73 -> 100
Job 2 Operation 1 on Machine 4 : 32 + 39 -> 71
Job 7 Operation 1 on Machine 6 : 32 + 92 -> 124
Job 3 Operation 2 on Machine 2 : 100 + 77 -> 177
Job 2 Operation 2 on Machine 1 : 108 + 12 -> 120
Job 8 Operation 2 on Machine 5 : 108 + 21 -> 129
Job 5 Operation 1 on Machine 3 : 112 + 63 -> 175
Job 6 Operation 1 on Machine 4 : 112 + 63 -> 175
Job 7 Operation 2 on Machine 0 : 124 + 45 -> 169
Job 0 Operation 0 on Machine 6 : 124 + 16 -> 140
Job 8 Operation 3 on Machine 6 : 140 + 114 -> 254
Job 7 Operation 3 on Machine 5 : 169 + 17 -> 186
Job 5 Operation 2 on Machine 0 : 175 + 113 -> 288
Job 2 Operation 3 on Machine 3 : 175 + 13 -> 188
Job 7 Operation 4 on Machine 1 : 186 + 59 -> 245
Job 2 Operation 4 on Machine 2 : 188 + 96 -> 284
Job 4 Operation 0 on Machine 3 : 188 + 99 -> 287
Job 3 Operation 3 on Machine 1 : 245 + 73 -> 318
Job 7 Operation 5 on Machine 2 : 284 + 19 -> 303
Job 2 Operation 5 on Machine 6 : 284 + 98 -> 382
Job 0 Operation 1 on Machine 3 : 287 + 13 -> 300
Job 4 Operation 1 on Machine 4 : 287 + 59 -> 346
Job 6 Operation 2 on Machine 0 : 288 + 43 -> 331
Job 1 Operation 0 on Machine 3 : 300 + 86 -> 386
Job 0 Operation 2 on Machine 5 : 300 + 22 -> 322
Job 5 Operation 3 on Machine 2 : 303 + 108 -> 411
Job 6 Operation 3 on Machine 1 : 331 + 77 -> 408
Job 3 Operation 4 on Machine 4 : 346 + 37 -> 383
Job 4 Operation 2 on Machine 5 : 346 + 67 -> 413
Job 2 Operation 6 on Machine 0 : 382 + 102 -> 484
Job 8 Operation 4 on Machine 3 : 386 + 85 -> 471
Job 0 Operation 3 on Machine 1 : 408 + 45 -> 453
Job 6 Operation 4 on Machine 2 : 411 + 65 -> 476
Job 1 Operation 1 on Machine 5 : 413 + 75 -> 488
Job 4 Operation 3 on Machine 6 : 413 + 80 -> 493
Job 3 Operation 5 on Machine 3 : 471 + 15 -> 486
Job 8 Operation 5 on Machine 2 : 476 + 10 -> 486
Job 0 Operation 4 on Machine 0 : 484 + 46 -> 530
Job 7 Operation 6 on Machine 3 : 486 + 71 -> 557
Job 1 Operation 2 on Machine 1 : 488 + 52 -> 540
Job 5 Operation 4 on Machine 5 : 488 + 6 -> 494
Job 4 Operation 4 on Machine 2 : 493 + 52 -> 545
Job 5 Operation 5 on Machine 4 : 494 + 16 -> 510
Job 6 Operation 5 on Machine 5 : 494 + 75 -> 569
Job 5 Operation 6 on Machine 6 : 510 + 11 -> 521
Job 8 Operation 6 on Machine 0 : 530 + 44 -> 574
Job 1 Operation 3 on Machine 6 : 540 + 21 -> 561
Job 0 Operation 5 on Machine 2 : 545 + 26 -> 571
Job 1 Operation 4 on Machine 4 : 561 + 2 -> 563
Job 3 Operation 6 on Machine 5 : 569 + 85 -> 654
Job 6 Operation 6 on Machine 6 : 569 + 57 -> 626
Job 1 Operation 5 on Machine 2 : 571 + 87 -> 658
Job 0 Operation 6 on Machine 4 : 571 + 75 -> 646
Job 4 Operation 5 on Machine 0 : 574 + 86 -> 660
Job 1 Operation 6 on Machine 0 : 660 + 9 -> 669
Job 4 Operation 6 on Machine 1 : 660 + 4 -> 664
Makespan: 669.0, as it is the maximum end completion time of Operation 6 |
3 | 3 | Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 267 mins.
Operation 1 on Machine 2 duration 236 mins.
Operation 2 on Machine 1 duration 284 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 409 mins.
Operation 1 on Machine 1 duration 39 mins.
Operation 2 on Machine 0 duration 225 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 116 mins.
Operation 1 on Machine 0 duration 329 mins.
Operation 2 on Machine 1 duration 193 mins.
| Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 267 mins.
Job 2 Operation 1 duration 329 mins.
Job 1 Operation 2 duration 225 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 39 mins.
Job 0 Operation 2 duration 284 mins.
Job 2 Operation 2 duration 193 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 409 mins.
Job 2 Operation 0 duration 116 mins.
Job 0 Operation 1 duration 236 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 267 -> 267
Job 2 Operation 0 on Machine 2 : 0 + 116 -> 116
Job 1 Operation 0 on Machine 2 : 116 + 409 -> 525
Job 2 Operation 1 on Machine 0 : 267 + 329 -> 596
Job 1 Operation 1 on Machine 1 : 525 + 39 -> 564
Job 0 Operation 1 on Machine 2 : 525 + 236 -> 761
Job 1 Operation 2 on Machine 0 : 596 + 225 -> 821
Job 2 Operation 2 on Machine 1 : 596 + 193 -> 789
Job 0 Operation 2 on Machine 1 : 789 + 284 -> 1073
Makespan: 1073.0, as it is the maximum end completion time of Operation 2 |
10 | 4 | Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 364 mins.
Operation 1 on Machine 1 duration 368 mins.
Operation 2 on Machine 0 duration 265 mins.
Operation 3 on Machine 3 duration 183 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 439 mins.
Operation 1 on Machine 0 duration 376 mins.
Operation 2 on Machine 1 duration 333 mins.
Operation 3 on Machine 2 duration 303 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 179 mins.
Operation 1 on Machine 3 duration 72 mins.
Operation 2 on Machine 2 duration 221 mins.
Operation 3 on Machine 1 duration 55 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 329 mins.
Operation 1 on Machine 0 duration 118 mins.
Operation 2 on Machine 2 duration 287 mins.
Operation 3 on Machine 3 duration 411 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 247 mins.
Operation 1 on Machine 1 duration 405 mins.
Operation 2 on Machine 3 duration 453 mins.
Operation 3 on Machine 0 duration 4 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 300 mins.
Operation 1 on Machine 0 duration 100 mins.
Operation 2 on Machine 3 duration 404 mins.
Operation 3 on Machine 1 duration 412 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 266 mins.
Operation 1 on Machine 3 duration 335 mins.
Operation 2 on Machine 0 duration 304 mins.
Operation 3 on Machine 2 duration 29 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 435 mins.
Operation 1 on Machine 0 duration 340 mins.
Operation 2 on Machine 2 duration 27 mins.
Operation 3 on Machine 3 duration 164 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 113 mins.
Operation 1 on Machine 0 duration 399 mins.
Operation 2 on Machine 1 duration 192 mins.
Operation 3 on Machine 2 duration 140 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 298 mins.
Operation 1 on Machine 1 duration 181 mins.
Operation 2 on Machine 3 duration 325 mins.
Operation 3 on Machine 2 duration 211 mins.
| Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 179 mins.
Job 9 Operation 0 duration 298 mins.
Job 1 Operation 1 duration 376 mins.
Job 3 Operation 1 duration 118 mins.
Job 5 Operation 1 duration 100 mins.
Job 7 Operation 1 duration 340 mins.
Job 8 Operation 1 duration 399 mins.
Job 0 Operation 2 duration 265 mins.
Job 6 Operation 2 duration 304 mins.
Job 4 Operation 3 duration 4 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 329 mins.
Job 6 Operation 0 duration 266 mins.
Job 7 Operation 0 duration 435 mins.
Job 0 Operation 1 duration 368 mins.
Job 4 Operation 1 duration 405 mins.
Job 9 Operation 1 duration 181 mins.
Job 1 Operation 2 duration 333 mins.
Job 8 Operation 2 duration 192 mins.
Job 2 Operation 3 duration 55 mins.
Job 5 Operation 3 duration 412 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 364 mins.
Job 4 Operation 0 duration 247 mins.
Job 5 Operation 0 duration 300 mins.
Job 2 Operation 2 duration 221 mins.
Job 3 Operation 2 duration 287 mins.
Job 7 Operation 2 duration 27 mins.
Job 1 Operation 3 duration 303 mins.
Job 6 Operation 3 duration 29 mins.
Job 8 Operation 3 duration 140 mins.
Job 9 Operation 3 duration 211 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 439 mins.
Job 8 Operation 0 duration 113 mins.
Job 2 Operation 1 duration 72 mins.
Job 6 Operation 1 duration 335 mins.
Job 4 Operation 2 duration 453 mins.
Job 5 Operation 2 duration 404 mins.
Job 9 Operation 2 duration 325 mins.
Job 0 Operation 3 duration 183 mins.
Job 3 Operation 3 duration 411 mins.
Job 7 Operation 3 duration 164 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 179 -> 179
Job 7 Operation 0 on Machine 1 : 0 + 435 -> 435
Job 4 Operation 0 on Machine 2 : 0 + 247 -> 247
Job 1 Operation 0 on Machine 3 : 0 + 439 -> 439
Job 9 Operation 0 on Machine 0 : 179 + 298 -> 477
Job 0 Operation 0 on Machine 2 : 247 + 364 -> 611
Job 6 Operation 0 on Machine 1 : 435 + 266 -> 701
Job 2 Operation 1 on Machine 3 : 439 + 72 -> 511
Job 1 Operation 1 on Machine 0 : 477 + 376 -> 853
Job 8 Operation 0 on Machine 3 : 511 + 113 -> 624
Job 2 Operation 2 on Machine 2 : 611 + 221 -> 832
Job 9 Operation 1 on Machine 1 : 701 + 181 -> 882
Job 6 Operation 1 on Machine 3 : 701 + 335 -> 1036
Job 5 Operation 0 on Machine 2 : 832 + 300 -> 1132
Job 7 Operation 1 on Machine 0 : 853 + 340 -> 1193
Job 1 Operation 2 on Machine 1 : 882 + 333 -> 1215
Job 9 Operation 2 on Machine 3 : 1036 + 325 -> 1361
Job 5 Operation 1 on Machine 0 : 1193 + 100 -> 1293
Job 4 Operation 1 on Machine 1 : 1215 + 405 -> 1620
Job 1 Operation 3 on Machine 2 : 1215 + 303 -> 1518
Job 8 Operation 1 on Machine 0 : 1293 + 399 -> 1692
Job 5 Operation 2 on Machine 3 : 1361 + 404 -> 1765
Job 7 Operation 2 on Machine 2 : 1518 + 27 -> 1545
Job 3 Operation 0 on Machine 1 : 1620 + 329 -> 1949
Job 7 Operation 3 on Machine 3 : 1765 + 164 -> 1929
Job 4 Operation 2 on Machine 3 : 1929 + 453 -> 2382
Job 3 Operation 1 on Machine 0 : 1949 + 118 -> 2067
Job 8 Operation 2 on Machine 1 : 1949 + 192 -> 2141
Job 6 Operation 2 on Machine 0 : 2067 + 304 -> 2371
Job 3 Operation 2 on Machine 2 : 2067 + 287 -> 2354
Job 0 Operation 1 on Machine 1 : 2141 + 368 -> 2509
Job 8 Operation 3 on Machine 2 : 2354 + 140 -> 2494
Job 4 Operation 3 on Machine 0 : 2382 + 4 -> 2386
Job 3 Operation 3 on Machine 3 : 2382 + 411 -> 2793
Job 6 Operation 3 on Machine 2 : 2494 + 29 -> 2523
Job 0 Operation 2 on Machine 0 : 2509 + 265 -> 2774
Job 5 Operation 3 on Machine 1 : 2509 + 412 -> 2921
Job 9 Operation 3 on Machine 2 : 2523 + 211 -> 2734
Job 0 Operation 3 on Machine 3 : 2793 + 183 -> 2976
Job 2 Operation 3 on Machine 1 : 2921 + 55 -> 2976
Makespan: 2976.0, as it is the maximum end completion time of Operation 3 |
6 | 4 | Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 13 mins.
Operation 1 on Machine 2 duration 70 mins.
Operation 2 on Machine 0 duration 386 mins.
Operation 3 on Machine 1 duration 111 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 289 mins.
Operation 1 on Machine 2 duration 352 mins.
Operation 2 on Machine 1 duration 104 mins.
Operation 3 on Machine 3 duration 252 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 329 mins.
Operation 1 on Machine 3 duration 287 mins.
Operation 2 on Machine 1 duration 359 mins.
Operation 3 on Machine 2 duration 55 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 55 mins.
Operation 1 on Machine 2 duration 212 mins.
Operation 2 on Machine 3 duration 78 mins.
Operation 3 on Machine 0 duration 201 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 413 mins.
Operation 1 on Machine 1 duration 89 mins.
Operation 2 on Machine 3 duration 214 mins.
Operation 3 on Machine 0 duration 27 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 329 mins.
Operation 1 on Machine 0 duration 413 mins.
Operation 2 on Machine 3 duration 193 mins.
Operation 3 on Machine 1 duration 86 mins.
| Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 289 mins.
Job 2 Operation 0 duration 329 mins.
Job 5 Operation 1 duration 413 mins.
Job 0 Operation 2 duration 386 mins.
Job 3 Operation 3 duration 201 mins.
Job 4 Operation 3 duration 27 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 55 mins.
Job 4 Operation 1 duration 89 mins.
Job 1 Operation 2 duration 104 mins.
Job 2 Operation 2 duration 359 mins.
Job 0 Operation 3 duration 111 mins.
Job 5 Operation 3 duration 86 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 413 mins.
Job 5 Operation 0 duration 329 mins.
Job 0 Operation 1 duration 70 mins.
Job 1 Operation 1 duration 352 mins.
Job 3 Operation 1 duration 212 mins.
Job 2 Operation 3 duration 55 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 13 mins.
Job 2 Operation 1 duration 287 mins.
Job 3 Operation 2 duration 78 mins.
Job 4 Operation 2 duration 214 mins.
Job 5 Operation 2 duration 193 mins.
Job 1 Operation 3 duration 252 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 289 -> 289
Job 3 Operation 0 on Machine 1 : 0 + 55 -> 55
Job 5 Operation 0 on Machine 2 : 0 + 329 -> 329
Job 0 Operation 0 on Machine 3 : 0 + 13 -> 13
Job 2 Operation 0 on Machine 0 : 289 + 329 -> 618
Job 0 Operation 1 on Machine 2 : 329 + 70 -> 399
Job 1 Operation 1 on Machine 2 : 399 + 352 -> 751
Job 5 Operation 1 on Machine 0 : 618 + 413 -> 1031
Job 2 Operation 1 on Machine 3 : 618 + 287 -> 905
Job 1 Operation 2 on Machine 1 : 751 + 104 -> 855
Job 4 Operation 0 on Machine 2 : 751 + 413 -> 1164
Job 2 Operation 2 on Machine 1 : 905 + 359 -> 1264
Job 1 Operation 3 on Machine 3 : 905 + 252 -> 1157
Job 0 Operation 2 on Machine 0 : 1031 + 386 -> 1417
Job 5 Operation 2 on Machine 3 : 1157 + 193 -> 1350
Job 3 Operation 1 on Machine 2 : 1164 + 212 -> 1376
Job 4 Operation 1 on Machine 1 : 1264 + 89 -> 1353
Job 2 Operation 3 on Machine 2 : 1376 + 55 -> 1431
Job 3 Operation 2 on Machine 3 : 1376 + 78 -> 1454
Job 0 Operation 3 on Machine 1 : 1417 + 111 -> 1528
Job 3 Operation 3 on Machine 0 : 1454 + 201 -> 1655
Job 4 Operation 2 on Machine 3 : 1454 + 214 -> 1668
Job 5 Operation 3 on Machine 1 : 1528 + 86 -> 1614
Job 4 Operation 3 on Machine 0 : 1668 + 27 -> 1695
Makespan: 1695.0, as it is the maximum end completion time of Operation 3 |
8 | 7 | Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 126 mins.
Operation 1 on Machine 3 duration 370 mins.
Operation 2 on Machine 2 duration 200 mins.
Operation 3 on Machine 6 duration 143 mins.
Operation 4 on Machine 0 duration 396 mins.
Operation 5 on Machine 5 duration 160 mins.
Operation 6 on Machine 1 duration 88 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 159 mins.
Operation 1 on Machine 6 duration 373 mins.
Operation 2 on Machine 4 duration 297 mins.
Operation 3 on Machine 0 duration 219 mins.
Operation 4 on Machine 3 duration 392 mins.
Operation 5 on Machine 5 duration 100 mins.
Operation 6 on Machine 2 duration 219 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 194 mins.
Operation 1 on Machine 4 duration 343 mins.
Operation 2 on Machine 0 duration 186 mins.
Operation 3 on Machine 2 duration 366 mins.
Operation 4 on Machine 6 duration 377 mins.
Operation 5 on Machine 1 duration 133 mins.
Operation 6 on Machine 5 duration 186 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 135 mins.
Operation 1 on Machine 0 duration 258 mins.
Operation 2 on Machine 6 duration 343 mins.
Operation 3 on Machine 4 duration 375 mins.
Operation 4 on Machine 2 duration 324 mins.
Operation 5 on Machine 1 duration 58 mins.
Operation 6 on Machine 3 duration 32 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 108 mins.
Operation 1 on Machine 4 duration 198 mins.
Operation 2 on Machine 1 duration 149 mins.
Operation 3 on Machine 5 duration 33 mins.
Operation 4 on Machine 2 duration 192 mins.
Operation 5 on Machine 6 duration 46 mins.
Operation 6 on Machine 3 duration 19 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 20 mins.
Operation 1 on Machine 6 duration 96 mins.
Operation 2 on Machine 4 duration 386 mins.
Operation 3 on Machine 2 duration 13 mins.
Operation 4 on Machine 5 duration 6 mins.
Operation 5 on Machine 0 duration 324 mins.
Operation 6 on Machine 1 duration 229 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 115 mins.
Operation 1 on Machine 6 duration 214 mins.
Operation 2 on Machine 1 duration 3 mins.
Operation 3 on Machine 2 duration 42 mins.
Operation 4 on Machine 3 duration 372 mins.
Operation 5 on Machine 4 duration 47 mins.
Operation 6 on Machine 0 duration 383 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 253 mins.
Operation 1 on Machine 3 duration 255 mins.
Operation 2 on Machine 5 duration 143 mins.
Operation 3 on Machine 6 duration 296 mins.
Operation 4 on Machine 0 duration 200 mins.
Operation 5 on Machine 2 duration 139 mins.
Operation 6 on Machine 4 duration 190 mins.
| Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 108 mins.
Job 3 Operation 1 duration 258 mins.
Job 2 Operation 2 duration 186 mins.
Job 1 Operation 3 duration 219 mins.
Job 0 Operation 4 duration 396 mins.
Job 7 Operation 4 duration 200 mins.
Job 5 Operation 5 duration 324 mins.
Job 6 Operation 6 duration 383 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 159 mins.
Job 7 Operation 0 duration 253 mins.
Job 4 Operation 2 duration 149 mins.
Job 6 Operation 2 duration 3 mins.
Job 2 Operation 5 duration 133 mins.
Job 3 Operation 5 duration 58 mins.
Job 0 Operation 6 duration 88 mins.
Job 5 Operation 6 duration 229 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 2 duration 200 mins.
Job 2 Operation 3 duration 366 mins.
Job 5 Operation 3 duration 13 mins.
Job 6 Operation 3 duration 42 mins.
Job 3 Operation 4 duration 324 mins.
Job 4 Operation 4 duration 192 mins.
Job 7 Operation 5 duration 139 mins.
Job 1 Operation 6 duration 219 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 194 mins.
Job 5 Operation 0 duration 20 mins.
Job 0 Operation 1 duration 370 mins.
Job 7 Operation 1 duration 255 mins.
Job 1 Operation 4 duration 392 mins.
Job 6 Operation 4 duration 372 mins.
Job 3 Operation 6 duration 32 mins.
Job 4 Operation 6 duration 19 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 126 mins.
Job 2 Operation 1 duration 343 mins.
Job 4 Operation 1 duration 198 mins.
Job 1 Operation 2 duration 297 mins.
Job 5 Operation 2 duration 386 mins.
Job 3 Operation 3 duration 375 mins.
Job 6 Operation 5 duration 47 mins.
Job 7 Operation 6 duration 190 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 135 mins.
Job 6 Operation 0 duration 115 mins.
Job 7 Operation 2 duration 143 mins.
Job 4 Operation 3 duration 33 mins.
Job 5 Operation 4 duration 6 mins.
Job 0 Operation 5 duration 160 mins.
Job 1 Operation 5 duration 100 mins.
Job 2 Operation 6 duration 186 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 1 duration 373 mins.
Job 5 Operation 1 duration 96 mins.
Job 6 Operation 1 duration 214 mins.
Job 3 Operation 2 duration 343 mins.
Job 0 Operation 3 duration 143 mins.
Job 7 Operation 3 duration 296 mins.
Job 2 Operation 4 duration 377 mins.
Job 4 Operation 5 duration 46 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 108 -> 108
Job 7 Operation 0 on Machine 1 : 0 + 253 -> 253
Job 5 Operation 0 on Machine 3 : 0 + 20 -> 20
Job 0 Operation 0 on Machine 4 : 0 + 126 -> 126
Job 6 Operation 0 on Machine 5 : 0 + 115 -> 115
Job 2 Operation 0 on Machine 3 : 20 + 194 -> 214
Job 5 Operation 1 on Machine 6 : 20 + 96 -> 116
Job 3 Operation 0 on Machine 5 : 115 + 135 -> 250
Job 6 Operation 1 on Machine 6 : 116 + 214 -> 330
Job 5 Operation 2 on Machine 4 : 126 + 386 -> 512
Job 3 Operation 1 on Machine 0 : 250 + 258 -> 508
Job 1 Operation 0 on Machine 1 : 253 + 159 -> 412
Job 7 Operation 1 on Machine 3 : 253 + 255 -> 508
Job 6 Operation 2 on Machine 1 : 412 + 3 -> 415
Job 1 Operation 1 on Machine 6 : 412 + 373 -> 785
Job 6 Operation 3 on Machine 2 : 415 + 42 -> 457
Job 0 Operation 1 on Machine 3 : 508 + 370 -> 878
Job 5 Operation 3 on Machine 2 : 512 + 13 -> 525
Job 2 Operation 1 on Machine 4 : 512 + 343 -> 855
Job 5 Operation 4 on Machine 5 : 525 + 6 -> 531
Job 5 Operation 5 on Machine 0 : 531 + 324 -> 855
Job 7 Operation 2 on Machine 5 : 531 + 143 -> 674
Job 7 Operation 3 on Machine 6 : 785 + 296 -> 1081
Job 2 Operation 2 on Machine 0 : 855 + 186 -> 1041
Job 5 Operation 6 on Machine 1 : 855 + 229 -> 1084
Job 1 Operation 2 on Machine 4 : 855 + 297 -> 1152
Job 0 Operation 2 on Machine 2 : 878 + 200 -> 1078
Job 6 Operation 4 on Machine 3 : 878 + 372 -> 1250
Job 2 Operation 3 on Machine 2 : 1078 + 366 -> 1444
Job 7 Operation 4 on Machine 0 : 1081 + 200 -> 1281
Job 3 Operation 2 on Machine 6 : 1081 + 343 -> 1424
Job 4 Operation 1 on Machine 4 : 1152 + 198 -> 1350
Job 1 Operation 3 on Machine 0 : 1281 + 219 -> 1500
Job 4 Operation 2 on Machine 1 : 1350 + 149 -> 1499
Job 6 Operation 5 on Machine 4 : 1350 + 47 -> 1397
Job 3 Operation 3 on Machine 4 : 1424 + 375 -> 1799
Job 0 Operation 3 on Machine 6 : 1424 + 143 -> 1567
Job 7 Operation 5 on Machine 2 : 1444 + 139 -> 1583
Job 4 Operation 3 on Machine 5 : 1499 + 33 -> 1532
Job 1 Operation 4 on Machine 3 : 1500 + 392 -> 1892
Job 0 Operation 4 on Machine 0 : 1567 + 396 -> 1963
Job 2 Operation 4 on Machine 6 : 1567 + 377 -> 1944
Job 4 Operation 4 on Machine 2 : 1583 + 192 -> 1775
Job 3 Operation 4 on Machine 2 : 1799 + 324 -> 2123
Job 7 Operation 6 on Machine 4 : 1799 + 190 -> 1989
Job 1 Operation 5 on Machine 5 : 1892 + 100 -> 1992
Job 2 Operation 5 on Machine 1 : 1944 + 133 -> 2077
Job 4 Operation 5 on Machine 6 : 1944 + 46 -> 1990
Job 6 Operation 6 on Machine 0 : 1963 + 383 -> 2346
Job 4 Operation 6 on Machine 3 : 1990 + 19 -> 2009
Job 0 Operation 5 on Machine 5 : 1992 + 160 -> 2152
Job 3 Operation 5 on Machine 1 : 2123 + 58 -> 2181
Job 1 Operation 6 on Machine 2 : 2123 + 219 -> 2342
Job 2 Operation 6 on Machine 5 : 2152 + 186 -> 2338
Job 0 Operation 6 on Machine 1 : 2181 + 88 -> 2269
Job 3 Operation 6 on Machine 3 : 2181 + 32 -> 2213
Makespan: 2346.0, as it is the maximum end completion time of Operation 6 |
8 | 7 | Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 321 mins.
Operation 1 on Machine 2 duration 291 mins.
Operation 2 on Machine 0 duration 196 mins.
Operation 3 on Machine 4 duration 270 mins.
Operation 4 on Machine 6 duration 335 mins.
Operation 5 on Machine 1 duration 286 mins.
Operation 6 on Machine 3 duration 182 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 316 mins.
Operation 1 on Machine 6 duration 401 mins.
Operation 2 on Machine 1 duration 208 mins.
Operation 3 on Machine 3 duration 212 mins.
Operation 4 on Machine 0 duration 344 mins.
Operation 5 on Machine 5 duration 30 mins.
Operation 6 on Machine 4 duration 137 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 324 mins.
Operation 1 on Machine 4 duration 230 mins.
Operation 2 on Machine 2 duration 261 mins.
Operation 3 on Machine 5 duration 35 mins.
Operation 4 on Machine 0 duration 229 mins.
Operation 5 on Machine 3 duration 88 mins.
Operation 6 on Machine 6 duration 286 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 348 mins.
Operation 1 on Machine 6 duration 381 mins.
Operation 2 on Machine 1 duration 292 mins.
Operation 3 on Machine 3 duration 133 mins.
Operation 4 on Machine 2 duration 214 mins.
Operation 5 on Machine 0 duration 212 mins.
Operation 6 on Machine 4 duration 225 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 109 mins.
Operation 1 on Machine 5 duration 322 mins.
Operation 2 on Machine 3 duration 280 mins.
Operation 3 on Machine 4 duration 189 mins.
Operation 4 on Machine 1 duration 74 mins.
Operation 5 on Machine 2 duration 31 mins.
Operation 6 on Machine 6 duration 23 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 226 mins.
Operation 1 on Machine 4 duration 315 mins.
Operation 2 on Machine 5 duration 349 mins.
Operation 3 on Machine 0 duration 255 mins.
Operation 4 on Machine 1 duration 4 mins.
Operation 5 on Machine 6 duration 10 mins.
Operation 6 on Machine 2 duration 308 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 83 mins.
Operation 1 on Machine 4 duration 45 mins.
Operation 2 on Machine 3 duration 210 mins.
Operation 3 on Machine 6 duration 306 mins.
Operation 4 on Machine 5 duration 310 mins.
Operation 5 on Machine 0 duration 273 mins.
Operation 6 on Machine 1 duration 133 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 378 mins.
Operation 1 on Machine 2 duration 247 mins.
Operation 2 on Machine 5 duration 106 mins.
Operation 3 on Machine 6 duration 23 mins.
Operation 4 on Machine 4 duration 274 mins.
Operation 5 on Machine 3 duration 56 mins.
Operation 6 on Machine 1 duration 253 mins.
| Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 109 mins.
Job 7 Operation 0 duration 378 mins.
Job 0 Operation 2 duration 196 mins.
Job 5 Operation 3 duration 255 mins.
Job 1 Operation 4 duration 344 mins.
Job 2 Operation 4 duration 229 mins.
Job 3 Operation 5 duration 212 mins.
Job 6 Operation 5 duration 273 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 324 mins.
Job 1 Operation 2 duration 208 mins.
Job 3 Operation 2 duration 292 mins.
Job 4 Operation 4 duration 74 mins.
Job 5 Operation 4 duration 4 mins.
Job 0 Operation 5 duration 286 mins.
Job 6 Operation 6 duration 133 mins.
Job 7 Operation 6 duration 253 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 316 mins.
Job 6 Operation 0 duration 83 mins.
Job 0 Operation 1 duration 291 mins.
Job 7 Operation 1 duration 247 mins.
Job 2 Operation 2 duration 261 mins.
Job 3 Operation 4 duration 214 mins.
Job 4 Operation 5 duration 31 mins.
Job 5 Operation 6 duration 308 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 226 mins.
Job 4 Operation 2 duration 280 mins.
Job 6 Operation 2 duration 210 mins.
Job 1 Operation 3 duration 212 mins.
Job 3 Operation 3 duration 133 mins.
Job 2 Operation 5 duration 88 mins.
Job 7 Operation 5 duration 56 mins.
Job 0 Operation 6 duration 182 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 230 mins.
Job 5 Operation 1 duration 315 mins.
Job 6 Operation 1 duration 45 mins.
Job 0 Operation 3 duration 270 mins.
Job 4 Operation 3 duration 189 mins.
Job 7 Operation 4 duration 274 mins.
Job 1 Operation 6 duration 137 mins.
Job 3 Operation 6 duration 225 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 321 mins.
Job 3 Operation 0 duration 348 mins.
Job 4 Operation 1 duration 322 mins.
Job 5 Operation 2 duration 349 mins.
Job 7 Operation 2 duration 106 mins.
Job 2 Operation 3 duration 35 mins.
Job 6 Operation 4 duration 310 mins.
Job 1 Operation 5 duration 30 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 1 duration 401 mins.
Job 3 Operation 1 duration 381 mins.
Job 6 Operation 3 duration 306 mins.
Job 7 Operation 3 duration 23 mins.
Job 0 Operation 4 duration 335 mins.
Job 5 Operation 5 duration 10 mins.
Job 2 Operation 6 duration 286 mins.
Job 4 Operation 6 duration 23 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 378 -> 378
Job 2 Operation 0 on Machine 1 : 0 + 324 -> 324
Job 1 Operation 0 on Machine 2 : 0 + 316 -> 316
Job 5 Operation 0 on Machine 3 : 0 + 226 -> 226
Job 0 Operation 0 on Machine 5 : 0 + 321 -> 321
Job 5 Operation 1 on Machine 4 : 226 + 315 -> 541
Job 1 Operation 1 on Machine 6 : 316 + 401 -> 717
Job 0 Operation 1 on Machine 2 : 321 + 291 -> 612
Job 3 Operation 0 on Machine 5 : 321 + 348 -> 669
Job 4 Operation 0 on Machine 0 : 378 + 109 -> 487
Job 2 Operation 1 on Machine 4 : 541 + 230 -> 771
Job 0 Operation 2 on Machine 0 : 612 + 196 -> 808
Job 6 Operation 0 on Machine 2 : 612 + 83 -> 695
Job 5 Operation 2 on Machine 5 : 669 + 349 -> 1018
Job 7 Operation 1 on Machine 2 : 695 + 247 -> 942
Job 1 Operation 2 on Machine 1 : 717 + 208 -> 925
Job 3 Operation 1 on Machine 6 : 717 + 381 -> 1098
Job 6 Operation 1 on Machine 4 : 771 + 45 -> 816
Job 6 Operation 2 on Machine 3 : 816 + 210 -> 1026
Job 0 Operation 3 on Machine 4 : 816 + 270 -> 1086
Job 2 Operation 2 on Machine 2 : 942 + 261 -> 1203
Job 5 Operation 3 on Machine 0 : 1018 + 255 -> 1273
Job 7 Operation 2 on Machine 5 : 1018 + 106 -> 1124
Job 1 Operation 3 on Machine 3 : 1026 + 212 -> 1238
Job 3 Operation 2 on Machine 1 : 1098 + 292 -> 1390
Job 7 Operation 3 on Machine 6 : 1124 + 23 -> 1147
Job 7 Operation 4 on Machine 4 : 1147 + 274 -> 1421
Job 6 Operation 3 on Machine 6 : 1147 + 306 -> 1453
Job 2 Operation 3 on Machine 5 : 1203 + 35 -> 1238
Job 4 Operation 1 on Machine 5 : 1238 + 322 -> 1560
Job 2 Operation 4 on Machine 0 : 1273 + 229 -> 1502
Job 7 Operation 5 on Machine 3 : 1421 + 56 -> 1477
Job 0 Operation 4 on Machine 6 : 1453 + 335 -> 1788
Job 7 Operation 6 on Machine 1 : 1477 + 253 -> 1730
Job 3 Operation 3 on Machine 3 : 1477 + 133 -> 1610
Job 1 Operation 4 on Machine 0 : 1502 + 344 -> 1846
Job 6 Operation 4 on Machine 5 : 1560 + 310 -> 1870
Job 3 Operation 4 on Machine 2 : 1610 + 214 -> 1824
Job 4 Operation 2 on Machine 3 : 1610 + 280 -> 1890
Job 0 Operation 5 on Machine 1 : 1788 + 286 -> 2074
Job 3 Operation 5 on Machine 0 : 1846 + 212 -> 2058
Job 1 Operation 5 on Machine 5 : 1870 + 30 -> 1900
Job 2 Operation 5 on Machine 3 : 1890 + 88 -> 1978
Job 4 Operation 3 on Machine 4 : 1890 + 189 -> 2079
Job 6 Operation 5 on Machine 0 : 2058 + 273 -> 2331
Job 5 Operation 4 on Machine 1 : 2074 + 4 -> 2078
Job 0 Operation 6 on Machine 3 : 2074 + 182 -> 2256
Job 5 Operation 5 on Machine 6 : 2078 + 10 -> 2088
Job 4 Operation 4 on Machine 1 : 2079 + 74 -> 2153
Job 1 Operation 6 on Machine 4 : 2079 + 137 -> 2216
Job 5 Operation 6 on Machine 2 : 2088 + 308 -> 2396
Job 2 Operation 6 on Machine 6 : 2088 + 286 -> 2374
Job 3 Operation 6 on Machine 4 : 2216 + 225 -> 2441
Job 6 Operation 6 on Machine 1 : 2331 + 133 -> 2464
Job 4 Operation 5 on Machine 2 : 2396 + 31 -> 2427
Job 4 Operation 6 on Machine 6 : 2427 + 23 -> 2450
Makespan: 2464.0, as it is the maximum end completion time of Operation 6 |
4 | 4 | Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 369 mins.
Operation 1 on Machine 1 duration 376 mins.
Operation 2 on Machine 0 duration 141 mins.
Operation 3 on Machine 2 duration 440 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 13 mins.
Operation 1 on Machine 2 duration 315 mins.
Operation 2 on Machine 3 duration 248 mins.
Operation 3 on Machine 0 duration 228 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 139 mins.
Operation 1 on Machine 3 duration 310 mins.
Operation 2 on Machine 2 duration 286 mins.
Operation 3 on Machine 1 duration 304 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 150 mins.
Operation 1 on Machine 1 duration 365 mins.
Operation 2 on Machine 2 duration 284 mins.
Operation 3 on Machine 0 duration 303 mins.
| Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 139 mins.
Job 0 Operation 2 duration 141 mins.
Job 1 Operation 3 duration 228 mins.
Job 3 Operation 3 duration 303 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 13 mins.
Job 0 Operation 1 duration 376 mins.
Job 3 Operation 1 duration 365 mins.
Job 2 Operation 3 duration 304 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 315 mins.
Job 2 Operation 2 duration 286 mins.
Job 3 Operation 2 duration 284 mins.
Job 0 Operation 3 duration 440 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 369 mins.
Job 3 Operation 0 duration 150 mins.
Job 2 Operation 1 duration 310 mins.
Job 1 Operation 2 duration 248 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 139 -> 139
Job 1 Operation 0 on Machine 1 : 0 + 13 -> 13
Job 3 Operation 0 on Machine 3 : 0 + 150 -> 150
Job 1 Operation 1 on Machine 2 : 13 + 315 -> 328
Job 3 Operation 1 on Machine 1 : 150 + 365 -> 515
Job 0 Operation 0 on Machine 3 : 150 + 369 -> 519
Job 3 Operation 2 on Machine 2 : 515 + 284 -> 799
Job 0 Operation 1 on Machine 1 : 519 + 376 -> 895
Job 2 Operation 1 on Machine 3 : 519 + 310 -> 829
Job 2 Operation 2 on Machine 2 : 829 + 286 -> 1115
Job 1 Operation 2 on Machine 3 : 829 + 248 -> 1077
Job 0 Operation 2 on Machine 0 : 895 + 141 -> 1036
Job 3 Operation 3 on Machine 0 : 1036 + 303 -> 1339
Job 2 Operation 3 on Machine 1 : 1115 + 304 -> 1419
Job 0 Operation 3 on Machine 2 : 1115 + 440 -> 1555
Job 1 Operation 3 on Machine 0 : 1339 + 228 -> 1567
Makespan: 1567.0, as it is the maximum end completion time of Operation 3 |
10 | 3 | Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 70 mins.
Operation 1 on Machine 0 duration 80 mins.
Operation 2 on Machine 1 duration 61 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 94 mins.
Operation 1 on Machine 0 duration 94 mins.
Operation 2 on Machine 2 duration 1 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 45 mins.
Operation 1 on Machine 0 duration 88 mins.
Operation 2 on Machine 1 duration 89 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 52 mins.
Operation 1 on Machine 0 duration 45 mins.
Operation 2 on Machine 1 duration 18 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 80 mins.
Operation 1 on Machine 2 duration 13 mins.
Operation 2 on Machine 0 duration 17 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 85 mins.
Operation 1 on Machine 0 duration 18 mins.
Operation 2 on Machine 2 duration 64 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 97 mins.
Operation 1 on Machine 2 duration 37 mins.
Operation 2 on Machine 1 duration 59 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 24 mins.
Operation 1 on Machine 0 duration 25 mins.
Operation 2 on Machine 1 duration 40 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 23 mins.
Operation 1 on Machine 0 duration 50 mins.
Operation 2 on Machine 1 duration 32 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 0 duration 36 mins.
Operation 2 on Machine 1 duration 31 mins.
| Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 97 mins.
Job 0 Operation 1 duration 80 mins.
Job 1 Operation 1 duration 94 mins.
Job 2 Operation 1 duration 88 mins.
Job 3 Operation 1 duration 45 mins.
Job 5 Operation 1 duration 18 mins.
Job 7 Operation 1 duration 25 mins.
Job 8 Operation 1 duration 50 mins.
Job 9 Operation 1 duration 36 mins.
Job 4 Operation 2 duration 17 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 94 mins.
Job 4 Operation 0 duration 80 mins.
Job 5 Operation 0 duration 85 mins.
Job 0 Operation 2 duration 61 mins.
Job 2 Operation 2 duration 89 mins.
Job 3 Operation 2 duration 18 mins.
Job 6 Operation 2 duration 59 mins.
Job 7 Operation 2 duration 40 mins.
Job 8 Operation 2 duration 32 mins.
Job 9 Operation 2 duration 31 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 70 mins.
Job 2 Operation 0 duration 45 mins.
Job 3 Operation 0 duration 52 mins.
Job 7 Operation 0 duration 24 mins.
Job 8 Operation 0 duration 23 mins.
Job 9 Operation 0 duration 4 mins.
Job 4 Operation 1 duration 13 mins.
Job 6 Operation 1 duration 37 mins.
Job 1 Operation 2 duration 1 mins.
Job 5 Operation 2 duration 64 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 97 -> 97
Job 4 Operation 0 on Machine 1 : 0 + 80 -> 80
Job 9 Operation 0 on Machine 2 : 0 + 4 -> 4
Job 8 Operation 0 on Machine 2 : 4 + 23 -> 27
Job 7 Operation 0 on Machine 2 : 27 + 24 -> 51
Job 2 Operation 0 on Machine 2 : 51 + 45 -> 96
Job 5 Operation 0 on Machine 1 : 80 + 85 -> 165
Job 4 Operation 1 on Machine 2 : 96 + 13 -> 109
Job 7 Operation 1 on Machine 0 : 97 + 25 -> 122
Job 6 Operation 1 on Machine 2 : 109 + 37 -> 146
Job 4 Operation 2 on Machine 0 : 122 + 17 -> 139
Job 9 Operation 1 on Machine 0 : 139 + 36 -> 175
Job 3 Operation 0 on Machine 2 : 146 + 52 -> 198
Job 7 Operation 2 on Machine 1 : 165 + 40 -> 205
Job 5 Operation 1 on Machine 0 : 175 + 18 -> 193
Job 8 Operation 1 on Machine 0 : 193 + 50 -> 243
Job 5 Operation 2 on Machine 2 : 198 + 64 -> 262
Job 9 Operation 2 on Machine 1 : 205 + 31 -> 236
Job 6 Operation 2 on Machine 1 : 236 + 59 -> 295
Job 3 Operation 1 on Machine 0 : 243 + 45 -> 288
Job 0 Operation 0 on Machine 2 : 262 + 70 -> 332
Job 2 Operation 1 on Machine 0 : 288 + 88 -> 376
Job 3 Operation 2 on Machine 1 : 295 + 18 -> 313
Job 8 Operation 2 on Machine 1 : 313 + 32 -> 345
Job 1 Operation 0 on Machine 1 : 345 + 94 -> 439
Job 0 Operation 1 on Machine 0 : 376 + 80 -> 456
Job 2 Operation 2 on Machine 1 : 439 + 89 -> 528
Job 1 Operation 1 on Machine 0 : 456 + 94 -> 550
Job 0 Operation 2 on Machine 1 : 528 + 61 -> 589
Job 1 Operation 2 on Machine 2 : 550 + 1 -> 551
Makespan: 589.0, as it is the maximum end completion time of Operation 2 |
7 | 5 | Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 288 mins.
Operation 1 on Machine 1 duration 363 mins.
Operation 2 on Machine 2 duration 238 mins.
Operation 3 on Machine 3 duration 206 mins.
Operation 4 on Machine 0 duration 312 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 415 mins.
Operation 1 on Machine 3 duration 75 mins.
Operation 2 on Machine 4 duration 42 mins.
Operation 3 on Machine 0 duration 184 mins.
Operation 4 on Machine 1 duration 232 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 253 mins.
Operation 1 on Machine 4 duration 48 mins.
Operation 2 on Machine 2 duration 33 mins.
Operation 3 on Machine 1 duration 335 mins.
Operation 4 on Machine 3 duration 50 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 27 mins.
Operation 1 on Machine 2 duration 16 mins.
Operation 2 on Machine 3 duration 444 mins.
Operation 3 on Machine 4 duration 279 mins.
Operation 4 on Machine 0 duration 428 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 173 mins.
Operation 1 on Machine 1 duration 349 mins.
Operation 2 on Machine 4 duration 122 mins.
Operation 3 on Machine 3 duration 203 mins.
Operation 4 on Machine 0 duration 269 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 422 mins.
Operation 1 on Machine 2 duration 144 mins.
Operation 2 on Machine 0 duration 140 mins.
Operation 3 on Machine 3 duration 178 mins.
Operation 4 on Machine 4 duration 296 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 98 mins.
Operation 1 on Machine 4 duration 74 mins.
Operation 2 on Machine 3 duration 175 mins.
Operation 3 on Machine 2 duration 182 mins.
Operation 4 on Machine 1 duration 113 mins.
| Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 253 mins.
Job 6 Operation 0 duration 98 mins.
Job 5 Operation 2 duration 140 mins.
Job 1 Operation 3 duration 184 mins.
Job 0 Operation 4 duration 312 mins.
Job 3 Operation 4 duration 428 mins.
Job 4 Operation 4 duration 269 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 27 mins.
Job 5 Operation 0 duration 422 mins.
Job 0 Operation 1 duration 363 mins.
Job 4 Operation 1 duration 349 mins.
Job 2 Operation 3 duration 335 mins.
Job 1 Operation 4 duration 232 mins.
Job 6 Operation 4 duration 113 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 415 mins.
Job 4 Operation 0 duration 173 mins.
Job 3 Operation 1 duration 16 mins.
Job 5 Operation 1 duration 144 mins.
Job 0 Operation 2 duration 238 mins.
Job 2 Operation 2 duration 33 mins.
Job 6 Operation 3 duration 182 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 75 mins.
Job 3 Operation 2 duration 444 mins.
Job 6 Operation 2 duration 175 mins.
Job 0 Operation 3 duration 206 mins.
Job 4 Operation 3 duration 203 mins.
Job 5 Operation 3 duration 178 mins.
Job 2 Operation 4 duration 50 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 288 mins.
Job 2 Operation 1 duration 48 mins.
Job 6 Operation 1 duration 74 mins.
Job 1 Operation 2 duration 42 mins.
Job 4 Operation 2 duration 122 mins.
Job 3 Operation 3 duration 279 mins.
Job 5 Operation 4 duration 296 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 98 -> 98
Job 3 Operation 0 on Machine 1 : 0 + 27 -> 27
Job 5 Operation 0 on Machine 1 : 27 + 422 -> 449
Job 3 Operation 1 on Machine 2 : 27 + 16 -> 43
Job 1 Operation 0 on Machine 2 : 43 + 415 -> 458
Job 3 Operation 2 on Machine 3 : 43 + 444 -> 487
Job 2 Operation 0 on Machine 0 : 98 + 253 -> 351
Job 6 Operation 1 on Machine 4 : 98 + 74 -> 172
Job 0 Operation 0 on Machine 4 : 172 + 288 -> 460
Job 5 Operation 1 on Machine 2 : 458 + 144 -> 602
Job 0 Operation 1 on Machine 1 : 460 + 363 -> 823
Job 2 Operation 1 on Machine 4 : 460 + 48 -> 508
Job 1 Operation 1 on Machine 3 : 487 + 75 -> 562
Job 6 Operation 2 on Machine 3 : 562 + 175 -> 737
Job 1 Operation 2 on Machine 4 : 562 + 42 -> 604
Job 5 Operation 2 on Machine 0 : 602 + 140 -> 742
Job 4 Operation 0 on Machine 2 : 602 + 173 -> 775
Job 3 Operation 3 on Machine 4 : 604 + 279 -> 883
Job 1 Operation 3 on Machine 0 : 742 + 184 -> 926
Job 5 Operation 3 on Machine 3 : 742 + 178 -> 920
Job 2 Operation 2 on Machine 2 : 775 + 33 -> 808
Job 4 Operation 1 on Machine 1 : 823 + 349 -> 1172
Job 0 Operation 2 on Machine 2 : 823 + 238 -> 1061
Job 3 Operation 4 on Machine 0 : 926 + 428 -> 1354
Job 6 Operation 3 on Machine 2 : 1061 + 182 -> 1243
Job 0 Operation 3 on Machine 3 : 1061 + 206 -> 1267
Job 4 Operation 2 on Machine 4 : 1172 + 122 -> 1294
Job 6 Operation 4 on Machine 1 : 1243 + 113 -> 1356
Job 4 Operation 3 on Machine 3 : 1294 + 203 -> 1497
Job 5 Operation 4 on Machine 4 : 1294 + 296 -> 1590
Job 0 Operation 4 on Machine 0 : 1354 + 312 -> 1666
Job 2 Operation 3 on Machine 1 : 1356 + 335 -> 1691
Job 4 Operation 4 on Machine 0 : 1666 + 269 -> 1935
Job 1 Operation 4 on Machine 1 : 1691 + 232 -> 1923
Job 2 Operation 4 on Machine 3 : 1691 + 50 -> 1741
Makespan: 1935.0, as it is the maximum end completion time of Operation 4 |
20 | 15 | Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 7 duration 10 mins.
Operation 1 on Machine 2 duration 82 mins.
Operation 2 on Machine 3 duration 70 mins.
Operation 3 on Machine 4 duration 89 mins.
Operation 4 on Machine 11 duration 131 mins.
Operation 5 on Machine 9 duration 161 mins.
Operation 6 on Machine 14 duration 73 mins.
Operation 7 on Machine 0 duration 24 mins.
Operation 8 on Machine 8 duration 58 mins.
Operation 9 on Machine 13 duration 96 mins.
Operation 10 on Machine 5 duration 163 mins.
Operation 11 on Machine 10 duration 65 mins.
Operation 12 on Machine 6 duration 20 mins.
Operation 13 on Machine 12 duration 62 mins.
Operation 14 on Machine 1 duration 89 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 10 duration 131 mins.
Operation 1 on Machine 4 duration 111 mins.
Operation 2 on Machine 7 duration 15 mins.
Operation 3 on Machine 5 duration 125 mins.
Operation 4 on Machine 3 duration 121 mins.
Operation 5 on Machine 0 duration 122 mins.
Operation 6 on Machine 9 duration 164 mins.
Operation 7 on Machine 13 duration 81 mins.
Operation 8 on Machine 2 duration 1 mins.
Operation 9 on Machine 1 duration 89 mins.
Operation 10 on Machine 12 duration 93 mins.
Operation 11 on Machine 11 duration 133 mins.
Operation 12 on Machine 8 duration 192 mins.
Operation 13 on Machine 6 duration 135 mins.
Operation 14 on Machine 14 duration 121 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 7 mins.
Operation 1 on Machine 6 duration 92 mins.
Operation 2 on Machine 3 duration 130 mins.
Operation 3 on Machine 14 duration 188 mins.
Operation 4 on Machine 4 duration 52 mins.
Operation 5 on Machine 11 duration 112 mins.
Operation 6 on Machine 9 duration 50 mins.
Operation 7 on Machine 10 duration 54 mins.
Operation 8 on Machine 2 duration 154 mins.
Operation 9 on Machine 0 duration 89 mins.
Operation 10 on Machine 7 duration 95 mins.
Operation 11 on Machine 13 duration 70 mins.
Operation 12 on Machine 1 duration 81 mins.
Operation 13 on Machine 8 duration 93 mins.
Operation 14 on Machine 12 duration 159 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 41 mins.
Operation 1 on Machine 1 duration 84 mins.
Operation 2 on Machine 10 duration 42 mins.
Operation 3 on Machine 8 duration 133 mins.
Operation 4 on Machine 11 duration 168 mins.
Operation 5 on Machine 7 duration 21 mins.
Operation 6 on Machine 6 duration 134 mins.
Operation 7 on Machine 13 duration 156 mins.
Operation 8 on Machine 4 duration 75 mins.
Operation 9 on Machine 2 duration 189 mins.
Operation 10 on Machine 3 duration 129 mins.
Operation 11 on Machine 9 duration 176 mins.
Operation 12 on Machine 14 duration 96 mins.
Operation 13 on Machine 12 duration 33 mins.
Operation 14 on Machine 5 duration 142 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 24 mins.
Operation 1 on Machine 5 duration 69 mins.
Operation 2 on Machine 4 duration 195 mins.
Operation 3 on Machine 6 duration 75 mins.
Operation 4 on Machine 14 duration 198 mins.
Operation 5 on Machine 10 duration 155 mins.
Operation 6 on Machine 12 duration 6 mins.
Operation 7 on Machine 9 duration 103 mins.
Operation 8 on Machine 8 duration 171 mins.
Operation 9 on Machine 3 duration 191 mins.
Operation 10 on Machine 11 duration 28 mins.
Operation 11 on Machine 2 duration 90 mins.
Operation 12 on Machine 0 duration 25 mins.
Operation 13 on Machine 1 duration 167 mins.
Operation 14 on Machine 13 duration 14 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 151 mins.
Operation 1 on Machine 3 duration 5 mins.
Operation 2 on Machine 5 duration 194 mins.
Operation 3 on Machine 10 duration 79 mins.
Operation 4 on Machine 12 duration 66 mins.
Operation 5 on Machine 13 duration 165 mins.
Operation 6 on Machine 9 duration 12 mins.
Operation 7 on Machine 2 duration 148 mins.
Operation 8 on Machine 6 duration 135 mins.
Operation 9 on Machine 7 duration 8 mins.
Operation 10 on Machine 8 duration 86 mins.
Operation 11 on Machine 14 duration 150 mins.
Operation 12 on Machine 11 duration 176 mins.
Operation 13 on Machine 1 duration 31 mins.
Operation 14 on Machine 0 duration 153 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 14 duration 188 mins.
Operation 1 on Machine 4 duration 128 mins.
Operation 2 on Machine 12 duration 160 mins.
Operation 3 on Machine 6 duration 86 mins.
Operation 4 on Machine 3 duration 154 mins.
Operation 5 on Machine 1 duration 12 mins.
Operation 6 on Machine 0 duration 182 mins.
Operation 7 on Machine 13 duration 121 mins.
Operation 8 on Machine 10 duration 183 mins.
Operation 9 on Machine 7 duration 78 mins.
Operation 10 on Machine 8 duration 127 mins.
Operation 11 on Machine 11 duration 197 mins.
Operation 12 on Machine 2 duration 52 mins.
Operation 13 on Machine 9 duration 22 mins.
Operation 14 on Machine 5 duration 126 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 1 mins.
Operation 1 on Machine 4 duration 107 mins.
Operation 2 on Machine 5 duration 58 mins.
Operation 3 on Machine 13 duration 142 mins.
Operation 4 on Machine 14 duration 124 mins.
Operation 5 on Machine 8 duration 188 mins.
Operation 6 on Machine 1 duration 169 mins.
Operation 7 on Machine 2 duration 183 mins.
Operation 8 on Machine 6 duration 160 mins.
Operation 9 on Machine 7 duration 53 mins.
Operation 10 on Machine 11 duration 76 mins.
Operation 11 on Machine 9 duration 107 mins.
Operation 12 on Machine 10 duration 198 mins.
Operation 13 on Machine 3 duration 37 mins.
Operation 14 on Machine 12 duration 77 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 199 mins.
Operation 1 on Machine 14 duration 68 mins.
Operation 2 on Machine 0 duration 194 mins.
Operation 3 on Machine 8 duration 119 mins.
Operation 4 on Machine 11 duration 184 mins.
Operation 5 on Machine 5 duration 138 mins.
Operation 6 on Machine 6 duration 13 mins.
Operation 7 on Machine 9 duration 68 mins.
Operation 8 on Machine 4 duration 112 mins.
Operation 9 on Machine 12 duration 92 mins.
Operation 10 on Machine 13 duration 78 mins.
Operation 11 on Machine 2 duration 184 mins.
Operation 12 on Machine 7 duration 100 mins.
Operation 13 on Machine 10 duration 56 mins.
Operation 14 on Machine 3 duration 153 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 8 duration 36 mins.
Operation 1 on Machine 3 duration 17 mins.
Operation 2 on Machine 12 duration 179 mins.
Operation 3 on Machine 6 duration 89 mins.
Operation 4 on Machine 10 duration 126 mins.
Operation 5 on Machine 0 duration 100 mins.
Operation 6 on Machine 1 duration 80 mins.
Operation 7 on Machine 2 duration 163 mins.
Operation 8 on Machine 9 duration 102 mins.
Operation 9 on Machine 5 duration 192 mins.
Operation 10 on Machine 7 duration 98 mins.
Operation 11 on Machine 11 duration 16 mins.
Operation 12 on Machine 4 duration 122 mins.
Operation 13 on Machine 14 duration 129 mins.
Operation 14 on Machine 13 duration 64 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 10 duration 24 mins.
Operation 1 on Machine 3 duration 182 mins.
Operation 2 on Machine 8 duration 160 mins.
Operation 3 on Machine 14 duration 99 mins.
Operation 4 on Machine 9 duration 57 mins.
Operation 5 on Machine 11 duration 72 mins.
Operation 6 on Machine 4 duration 96 mins.
Operation 7 on Machine 13 duration 72 mins.
Operation 8 on Machine 7 duration 43 mins.
Operation 9 on Machine 1 duration 75 mins.
Operation 10 on Machine 12 duration 29 mins.
Operation 11 on Machine 2 duration 142 mins.
Operation 12 on Machine 6 duration 42 mins.
Operation 13 on Machine 5 duration 50 mins.
Operation 14 on Machine 0 duration 122 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 5 duration 78 mins.
Operation 1 on Machine 3 duration 157 mins.
Operation 2 on Machine 12 duration 143 mins.
Operation 3 on Machine 6 duration 168 mins.
Operation 4 on Machine 1 duration 46 mins.
Operation 5 on Machine 14 duration 75 mins.
Operation 6 on Machine 9 duration 1 mins.
Operation 7 on Machine 0 duration 114 mins.
Operation 8 on Machine 13 duration 152 mins.
Operation 9 on Machine 4 duration 110 mins.
Operation 10 on Machine 10 duration 35 mins.
Operation 11 on Machine 7 duration 188 mins.
Operation 12 on Machine 11 duration 7 mins.
Operation 13 on Machine 8 duration 120 mins.
Operation 14 on Machine 2 duration 164 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 3 duration 41 mins.
Operation 1 on Machine 5 duration 83 mins.
Operation 2 on Machine 6 duration 173 mins.
Operation 3 on Machine 1 duration 149 mins.
Operation 4 on Machine 7 duration 155 mins.
Operation 5 on Machine 14 duration 44 mins.
Operation 6 on Machine 2 duration 94 mins.
Operation 7 on Machine 10 duration 89 mins.
Operation 8 on Machine 8 duration 143 mins.
Operation 9 on Machine 12 duration 37 mins.
Operation 10 on Machine 9 duration 6 mins.
Operation 11 on Machine 0 duration 117 mins.
Operation 12 on Machine 11 duration 146 mins.
Operation 13 on Machine 4 duration 81 mins.
Operation 14 on Machine 13 duration 116 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 5 duration 154 mins.
Operation 1 on Machine 3 duration 171 mins.
Operation 2 on Machine 8 duration 55 mins.
Operation 3 on Machine 11 duration 10 mins.
Operation 4 on Machine 7 duration 150 mins.
Operation 5 on Machine 14 duration 17 mins.
Operation 6 on Machine 6 duration 114 mins.
Operation 7 on Machine 10 duration 48 mins.
Operation 8 on Machine 12 duration 162 mins.
Operation 9 on Machine 9 duration 153 mins.
Operation 10 on Machine 13 duration 130 mins.
Operation 11 on Machine 4 duration 36 mins.
Operation 12 on Machine 2 duration 19 mins.
Operation 13 on Machine 1 duration 30 mins.
Operation 14 on Machine 0 duration 12 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 6 duration 63 mins.
Operation 1 on Machine 1 duration 24 mins.
Operation 2 on Machine 3 duration 120 mins.
Operation 3 on Machine 4 duration 194 mins.
Operation 4 on Machine 12 duration 159 mins.
Operation 5 on Machine 10 duration 85 mins.
Operation 6 on Machine 5 duration 119 mins.
Operation 7 on Machine 14 duration 93 mins.
Operation 8 on Machine 7 duration 172 mins.
Operation 9 on Machine 0 duration 4 mins.
Operation 10 on Machine 8 duration 57 mins.
Operation 11 on Machine 11 duration 163 mins.
Operation 12 on Machine 2 duration 31 mins.
Operation 13 on Machine 9 duration 30 mins.
Operation 14 on Machine 13 duration 149 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 0 duration 113 mins.
Operation 1 on Machine 12 duration 86 mins.
Operation 2 on Machine 5 duration 24 mins.
Operation 3 on Machine 7 duration 21 mins.
Operation 4 on Machine 11 duration 33 mins.
Operation 5 on Machine 4 duration 54 mins.
Operation 6 on Machine 3 duration 103 mins.
Operation 7 on Machine 9 duration 16 mins.
Operation 8 on Machine 14 duration 100 mins.
Operation 9 on Machine 6 duration 22 mins.
Operation 10 on Machine 8 duration 98 mins.
Operation 11 on Machine 13 duration 93 mins.
Operation 12 on Machine 10 duration 131 mins.
Operation 13 on Machine 1 duration 85 mins.
Operation 14 on Machine 2 duration 119 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 12 duration 34 mins.
Operation 1 on Machine 5 duration 42 mins.
Operation 2 on Machine 2 duration 93 mins.
Operation 3 on Machine 0 duration 114 mins.
Operation 4 on Machine 8 duration 113 mins.
Operation 5 on Machine 4 duration 54 mins.
Operation 6 on Machine 6 duration 109 mins.
Operation 7 on Machine 11 duration 66 mins.
Operation 8 on Machine 13 duration 99 mins.
Operation 9 on Machine 9 duration 120 mins.
Operation 10 on Machine 1 duration 86 mins.
Operation 11 on Machine 10 duration 86 mins.
Operation 12 on Machine 14 duration 10 mins.
Operation 13 on Machine 7 duration 23 mins.
Operation 14 on Machine 3 duration 50 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 0 duration 148 mins.
Operation 1 on Machine 12 duration 45 mins.
Operation 2 on Machine 13 duration 142 mins.
Operation 3 on Machine 5 duration 31 mins.
Operation 4 on Machine 9 duration 35 mins.
Operation 5 on Machine 2 duration 15 mins.
Operation 6 on Machine 6 duration 178 mins.
Operation 7 on Machine 3 duration 105 mins.
Operation 8 on Machine 10 duration 135 mins.
Operation 9 on Machine 1 duration 148 mins.
Operation 10 on Machine 7 duration 178 mins.
Operation 11 on Machine 11 duration 106 mins.
Operation 12 on Machine 8 duration 11 mins.
Operation 13 on Machine 4 duration 36 mins.
Operation 14 on Machine 14 duration 30 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 14 duration 23 mins.
Operation 1 on Machine 6 duration 52 mins.
Operation 2 on Machine 5 duration 38 mins.
Operation 3 on Machine 3 duration 11 mins.
Operation 4 on Machine 10 duration 92 mins.
Operation 5 on Machine 8 duration 149 mins.
Operation 6 on Machine 2 duration 172 mins.
Operation 7 on Machine 4 duration 171 mins.
Operation 8 on Machine 12 duration 173 mins.
Operation 9 on Machine 0 duration 82 mins.
Operation 10 on Machine 7 duration 5 mins.
Operation 11 on Machine 1 duration 106 mins.
Operation 12 on Machine 9 duration 120 mins.
Operation 13 on Machine 11 duration 193 mins.
Operation 14 on Machine 13 duration 1 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 3 duration 156 mins.
Operation 1 on Machine 4 duration 30 mins.
Operation 2 on Machine 10 duration 169 mins.
Operation 3 on Machine 5 duration 18 mins.
Operation 4 on Machine 0 duration 147 mins.
Operation 5 on Machine 9 duration 166 mins.
Operation 6 on Machine 7 duration 113 mins.
Operation 7 on Machine 8 duration 144 mins.
Operation 8 on Machine 14 duration 22 mins.
Operation 9 on Machine 11 duration 69 mins.
Operation 10 on Machine 2 duration 57 mins.
Operation 11 on Machine 1 duration 75 mins.
Operation 12 on Machine 6 duration 50 mins.
Operation 13 on Machine 12 duration 69 mins.
Operation 14 on Machine 13 duration 19 mins.
| Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 41 mins.
Job 7 Operation 0 duration 1 mins.
Job 15 Operation 0 duration 113 mins.
Job 17 Operation 0 duration 148 mins.
Job 8 Operation 2 duration 194 mins.
Job 16 Operation 3 duration 114 mins.
Job 19 Operation 4 duration 147 mins.
Job 1 Operation 5 duration 122 mins.
Job 9 Operation 5 duration 100 mins.
Job 6 Operation 6 duration 182 mins.
Job 0 Operation 7 duration 24 mins.
Job 11 Operation 7 duration 114 mins.
Job 2 Operation 9 duration 89 mins.
Job 14 Operation 9 duration 4 mins.
Job 18 Operation 9 duration 82 mins.
Job 12 Operation 11 duration 117 mins.
Job 4 Operation 12 duration 25 mins.
Job 5 Operation 14 duration 153 mins.
Job 10 Operation 14 duration 122 mins.
Job 13 Operation 14 duration 12 mins.
Machine 1 is used for the following Operations:
Job 8 Operation 0 duration 199 mins.
Job 3 Operation 1 duration 84 mins.
Job 14 Operation 1 duration 24 mins.
Job 12 Operation 3 duration 149 mins.
Job 11 Operation 4 duration 46 mins.
Job 6 Operation 5 duration 12 mins.
Job 7 Operation 6 duration 169 mins.
Job 9 Operation 6 duration 80 mins.
Job 1 Operation 9 duration 89 mins.
Job 10 Operation 9 duration 75 mins.
Job 17 Operation 9 duration 148 mins.
Job 16 Operation 10 duration 86 mins.
Job 18 Operation 11 duration 106 mins.
Job 19 Operation 11 duration 75 mins.
Job 2 Operation 12 duration 81 mins.
Job 4 Operation 13 duration 167 mins.
Job 5 Operation 13 duration 31 mins.
Job 13 Operation 13 duration 30 mins.
Job 15 Operation 13 duration 85 mins.
Job 0 Operation 14 duration 89 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 82 mins.
Job 16 Operation 2 duration 93 mins.
Job 17 Operation 5 duration 15 mins.
Job 12 Operation 6 duration 94 mins.
Job 18 Operation 6 duration 172 mins.
Job 5 Operation 7 duration 148 mins.
Job 7 Operation 7 duration 183 mins.
Job 9 Operation 7 duration 163 mins.
Job 1 Operation 8 duration 1 mins.
Job 2 Operation 8 duration 154 mins.
Job 3 Operation 9 duration 189 mins.
Job 19 Operation 10 duration 57 mins.
Job 4 Operation 11 duration 90 mins.
Job 8 Operation 11 duration 184 mins.
Job 10 Operation 11 duration 142 mins.
Job 6 Operation 12 duration 52 mins.
Job 13 Operation 12 duration 19 mins.
Job 14 Operation 12 duration 31 mins.
Job 11 Operation 14 duration 164 mins.
Job 15 Operation 14 duration 119 mins.
Machine 3 is used for the following Operations:
Job 12 Operation 0 duration 41 mins.
Job 19 Operation 0 duration 156 mins.
Job 5 Operation 1 duration 5 mins.
Job 9 Operation 1 duration 17 mins.
Job 10 Operation 1 duration 182 mins.
Job 11 Operation 1 duration 157 mins.
Job 13 Operation 1 duration 171 mins.
Job 0 Operation 2 duration 70 mins.
Job 2 Operation 2 duration 130 mins.
Job 14 Operation 2 duration 120 mins.
Job 18 Operation 3 duration 11 mins.
Job 1 Operation 4 duration 121 mins.
Job 6 Operation 4 duration 154 mins.
Job 15 Operation 6 duration 103 mins.
Job 17 Operation 7 duration 105 mins.
Job 4 Operation 9 duration 191 mins.
Job 3 Operation 10 duration 129 mins.
Job 7 Operation 13 duration 37 mins.
Job 8 Operation 14 duration 153 mins.
Job 16 Operation 14 duration 50 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 151 mins.
Job 1 Operation 1 duration 111 mins.
Job 6 Operation 1 duration 128 mins.
Job 7 Operation 1 duration 107 mins.
Job 19 Operation 1 duration 30 mins.
Job 4 Operation 2 duration 195 mins.
Job 0 Operation 3 duration 89 mins.
Job 14 Operation 3 duration 194 mins.
Job 2 Operation 4 duration 52 mins.
Job 15 Operation 5 duration 54 mins.
Job 16 Operation 5 duration 54 mins.
Job 10 Operation 6 duration 96 mins.
Job 18 Operation 7 duration 171 mins.
Job 3 Operation 8 duration 75 mins.
Job 8 Operation 8 duration 112 mins.
Job 11 Operation 9 duration 110 mins.
Job 13 Operation 11 duration 36 mins.
Job 9 Operation 12 duration 122 mins.
Job 12 Operation 13 duration 81 mins.
Job 17 Operation 13 duration 36 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 7 mins.
Job 11 Operation 0 duration 78 mins.
Job 13 Operation 0 duration 154 mins.
Job 4 Operation 1 duration 69 mins.
Job 12 Operation 1 duration 83 mins.
Job 16 Operation 1 duration 42 mins.
Job 5 Operation 2 duration 194 mins.
Job 7 Operation 2 duration 58 mins.
Job 15 Operation 2 duration 24 mins.
Job 18 Operation 2 duration 38 mins.
Job 1 Operation 3 duration 125 mins.
Job 17 Operation 3 duration 31 mins.
Job 19 Operation 3 duration 18 mins.
Job 8 Operation 5 duration 138 mins.
Job 14 Operation 6 duration 119 mins.
Job 9 Operation 9 duration 192 mins.
Job 0 Operation 10 duration 163 mins.
Job 10 Operation 13 duration 50 mins.
Job 3 Operation 14 duration 142 mins.
Job 6 Operation 14 duration 126 mins.
Machine 6 is used for the following Operations:
Job 14 Operation 0 duration 63 mins.
Job 2 Operation 1 duration 92 mins.
Job 18 Operation 1 duration 52 mins.
Job 12 Operation 2 duration 173 mins.
Job 4 Operation 3 duration 75 mins.
Job 6 Operation 3 duration 86 mins.
Job 9 Operation 3 duration 89 mins.
Job 11 Operation 3 duration 168 mins.
Job 3 Operation 6 duration 134 mins.
Job 8 Operation 6 duration 13 mins.
Job 13 Operation 6 duration 114 mins.
Job 16 Operation 6 duration 109 mins.
Job 17 Operation 6 duration 178 mins.
Job 5 Operation 8 duration 135 mins.
Job 7 Operation 8 duration 160 mins.
Job 15 Operation 9 duration 22 mins.
Job 0 Operation 12 duration 20 mins.
Job 10 Operation 12 duration 42 mins.
Job 19 Operation 12 duration 50 mins.
Job 1 Operation 13 duration 135 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 4 Operation 0 duration 24 mins.
Job 1 Operation 2 duration 15 mins.
Job 15 Operation 3 duration 21 mins.
Job 12 Operation 4 duration 155 mins.
Job 13 Operation 4 duration 150 mins.
Job 3 Operation 5 duration 21 mins.
Job 19 Operation 6 duration 113 mins.
Job 10 Operation 8 duration 43 mins.
Job 14 Operation 8 duration 172 mins.
Job 5 Operation 9 duration 8 mins.
Job 6 Operation 9 duration 78 mins.
Job 7 Operation 9 duration 53 mins.
Job 2 Operation 10 duration 95 mins.
Job 9 Operation 10 duration 98 mins.
Job 17 Operation 10 duration 178 mins.
Job 18 Operation 10 duration 5 mins.
Job 11 Operation 11 duration 188 mins.
Job 8 Operation 12 duration 100 mins.
Job 16 Operation 13 duration 23 mins.
Machine 8 is used for the following Operations:
Job 9 Operation 0 duration 36 mins.
Job 10 Operation 2 duration 160 mins.
Job 13 Operation 2 duration 55 mins.
Job 3 Operation 3 duration 133 mins.
Job 8 Operation 3 duration 119 mins.
Job 16 Operation 4 duration 113 mins.
Job 7 Operation 5 duration 188 mins.
Job 18 Operation 5 duration 149 mins.
Job 19 Operation 7 duration 144 mins.
Job 0 Operation 8 duration 58 mins.
Job 4 Operation 8 duration 171 mins.
Job 12 Operation 8 duration 143 mins.
Job 5 Operation 10 duration 86 mins.
Job 6 Operation 10 duration 127 mins.
Job 14 Operation 10 duration 57 mins.
Job 15 Operation 10 duration 98 mins.
Job 1 Operation 12 duration 192 mins.
Job 17 Operation 12 duration 11 mins.
Job 2 Operation 13 duration 93 mins.
Job 11 Operation 13 duration 120 mins.
Machine 9 is used for the following Operations:
Job 10 Operation 4 duration 57 mins.
Job 17 Operation 4 duration 35 mins.
Job 0 Operation 5 duration 161 mins.
Job 19 Operation 5 duration 166 mins.
Job 1 Operation 6 duration 164 mins.
Job 2 Operation 6 duration 50 mins.
Job 5 Operation 6 duration 12 mins.
Job 11 Operation 6 duration 1 mins.
Job 4 Operation 7 duration 103 mins.
Job 8 Operation 7 duration 68 mins.
Job 15 Operation 7 duration 16 mins.
Job 9 Operation 8 duration 102 mins.
Job 13 Operation 9 duration 153 mins.
Job 16 Operation 9 duration 120 mins.
Job 12 Operation 10 duration 6 mins.
Job 3 Operation 11 duration 176 mins.
Job 7 Operation 11 duration 107 mins.
Job 18 Operation 12 duration 120 mins.
Job 6 Operation 13 duration 22 mins.
Job 14 Operation 13 duration 30 mins.
Machine 10 is used for the following Operations:
Job 1 Operation 0 duration 131 mins.
Job 10 Operation 0 duration 24 mins.
Job 3 Operation 2 duration 42 mins.
Job 19 Operation 2 duration 169 mins.
Job 5 Operation 3 duration 79 mins.
Job 9 Operation 4 duration 126 mins.
Job 18 Operation 4 duration 92 mins.
Job 4 Operation 5 duration 155 mins.
Job 14 Operation 5 duration 85 mins.
Job 2 Operation 7 duration 54 mins.
Job 12 Operation 7 duration 89 mins.
Job 13 Operation 7 duration 48 mins.
Job 6 Operation 8 duration 183 mins.
Job 17 Operation 8 duration 135 mins.
Job 11 Operation 10 duration 35 mins.
Job 0 Operation 11 duration 65 mins.
Job 16 Operation 11 duration 86 mins.
Job 7 Operation 12 duration 198 mins.
Job 15 Operation 12 duration 131 mins.
Job 8 Operation 13 duration 56 mins.
Machine 11 is used for the following Operations:
Job 13 Operation 3 duration 10 mins.
Job 0 Operation 4 duration 131 mins.
Job 3 Operation 4 duration 168 mins.
Job 8 Operation 4 duration 184 mins.
Job 15 Operation 4 duration 33 mins.
Job 2 Operation 5 duration 112 mins.
Job 10 Operation 5 duration 72 mins.
Job 16 Operation 7 duration 66 mins.
Job 19 Operation 9 duration 69 mins.
Job 4 Operation 10 duration 28 mins.
Job 7 Operation 10 duration 76 mins.
Job 1 Operation 11 duration 133 mins.
Job 6 Operation 11 duration 197 mins.
Job 9 Operation 11 duration 16 mins.
Job 14 Operation 11 duration 163 mins.
Job 17 Operation 11 duration 106 mins.
Job 5 Operation 12 duration 176 mins.
Job 11 Operation 12 duration 7 mins.
Job 12 Operation 12 duration 146 mins.
Job 18 Operation 13 duration 193 mins.
Machine 12 is used for the following Operations:
Job 16 Operation 0 duration 34 mins.
Job 15 Operation 1 duration 86 mins.
Job 17 Operation 1 duration 45 mins.
Job 6 Operation 2 duration 160 mins.
Job 9 Operation 2 duration 179 mins.
Job 11 Operation 2 duration 143 mins.
Job 5 Operation 4 duration 66 mins.
Job 14 Operation 4 duration 159 mins.
Job 4 Operation 6 duration 6 mins.
Job 13 Operation 8 duration 162 mins.
Job 18 Operation 8 duration 173 mins.
Job 8 Operation 9 duration 92 mins.
Job 12 Operation 9 duration 37 mins.
Job 1 Operation 10 duration 93 mins.
Job 10 Operation 10 duration 29 mins.
Job 0 Operation 13 duration 62 mins.
Job 3 Operation 13 duration 33 mins.
Job 19 Operation 13 duration 69 mins.
Job 2 Operation 14 duration 159 mins.
Job 7 Operation 14 duration 77 mins.
Machine 13 is used for the following Operations:
Job 17 Operation 2 duration 142 mins.
Job 7 Operation 3 duration 142 mins.
Job 5 Operation 5 duration 165 mins.
Job 1 Operation 7 duration 81 mins.
Job 3 Operation 7 duration 156 mins.
Job 6 Operation 7 duration 121 mins.
Job 10 Operation 7 duration 72 mins.
Job 11 Operation 8 duration 152 mins.
Job 16 Operation 8 duration 99 mins.
Job 0 Operation 9 duration 96 mins.
Job 8 Operation 10 duration 78 mins.
Job 13 Operation 10 duration 130 mins.
Job 2 Operation 11 duration 70 mins.
Job 15 Operation 11 duration 93 mins.
Job 4 Operation 14 duration 14 mins.
Job 9 Operation 14 duration 64 mins.
Job 12 Operation 14 duration 116 mins.
Job 14 Operation 14 duration 149 mins.
Job 18 Operation 14 duration 1 mins.
Job 19 Operation 14 duration 19 mins.
Machine 14 is used for the following Operations:
Job 6 Operation 0 duration 188 mins.
Job 18 Operation 0 duration 23 mins.
Job 8 Operation 1 duration 68 mins.
Job 2 Operation 3 duration 188 mins.
Job 10 Operation 3 duration 99 mins.
Job 4 Operation 4 duration 198 mins.
Job 7 Operation 4 duration 124 mins.
Job 11 Operation 5 duration 75 mins.
Job 12 Operation 5 duration 44 mins.
Job 13 Operation 5 duration 17 mins.
Job 0 Operation 6 duration 73 mins.
Job 14 Operation 7 duration 93 mins.
Job 15 Operation 8 duration 100 mins.
Job 19 Operation 8 duration 22 mins.
Job 5 Operation 11 duration 150 mins.
Job 3 Operation 12 duration 96 mins.
Job 16 Operation 12 duration 10 mins.
Job 9 Operation 13 duration 129 mins.
Job 1 Operation 14 duration 121 mins.
Job 17 Operation 14 duration 30 mins.
| Solution:
Job 17 Operation 0 on Machine 0 : 0 + 148 -> 148
Job 8 Operation 0 on Machine 1 : 0 + 199 -> 199
Job 11 Operation 0 on Machine 5 : 0 + 78 -> 78
Job 4 Operation 0 on Machine 7 : 0 + 24 -> 24
Job 9 Operation 0 on Machine 8 : 0 + 36 -> 36
Job 1 Operation 0 on Machine 10 : 0 + 131 -> 131
Job 16 Operation 0 on Machine 12 : 0 + 34 -> 34
Job 18 Operation 0 on Machine 14 : 0 + 23 -> 23
Job 18 Operation 1 on Machine 6 : 23 + 52 -> 75
Job 6 Operation 0 on Machine 14 : 23 + 188 -> 211
Job 0 Operation 0 on Machine 7 : 24 + 10 -> 34
Job 0 Operation 1 on Machine 2 : 34 + 82 -> 116
Job 9 Operation 1 on Machine 3 : 36 + 17 -> 53
Job 12 Operation 0 on Machine 3 : 53 + 41 -> 94
Job 14 Operation 0 on Machine 6 : 75 + 63 -> 138
Job 18 Operation 2 on Machine 5 : 78 + 38 -> 116
Job 18 Operation 3 on Machine 3 : 116 + 11 -> 127
Job 2 Operation 0 on Machine 5 : 116 + 7 -> 123
Job 12 Operation 1 on Machine 5 : 123 + 83 -> 206
Job 19 Operation 0 on Machine 3 : 127 + 156 -> 283
Job 1 Operation 1 on Machine 4 : 131 + 111 -> 242
Job 18 Operation 4 on Machine 10 : 131 + 92 -> 223
Job 2 Operation 1 on Machine 6 : 138 + 92 -> 230
Job 7 Operation 0 on Machine 0 : 148 + 1 -> 149
Job 17 Operation 1 on Machine 12 : 148 + 45 -> 193
Job 3 Operation 0 on Machine 0 : 149 + 41 -> 190
Job 15 Operation 0 on Machine 0 : 190 + 113 -> 303
Job 9 Operation 2 on Machine 12 : 193 + 179 -> 372
Job 17 Operation 2 on Machine 13 : 193 + 142 -> 335
Job 3 Operation 1 on Machine 1 : 199 + 84 -> 283
Job 4 Operation 1 on Machine 5 : 206 + 69 -> 275
Job 8 Operation 1 on Machine 14 : 211 + 68 -> 279
Job 18 Operation 5 on Machine 8 : 223 + 149 -> 372
Job 10 Operation 0 on Machine 10 : 223 + 24 -> 247
Job 12 Operation 2 on Machine 6 : 230 + 173 -> 403
Job 7 Operation 1 on Machine 4 : 242 + 107 -> 349
Job 1 Operation 2 on Machine 7 : 242 + 15 -> 257
Job 16 Operation 1 on Machine 5 : 275 + 42 -> 317
Job 14 Operation 1 on Machine 1 : 283 + 24 -> 307
Job 3 Operation 2 on Machine 10 : 283 + 42 -> 325
Job 8 Operation 2 on Machine 0 : 303 + 194 -> 497
Job 14 Operation 2 on Machine 3 : 307 + 120 -> 427
Job 17 Operation 3 on Machine 5 : 335 + 31 -> 366
Job 19 Operation 1 on Machine 4 : 349 + 30 -> 379
Job 7 Operation 2 on Machine 5 : 366 + 58 -> 424
Job 17 Operation 4 on Machine 9 : 366 + 35 -> 401
Job 3 Operation 3 on Machine 8 : 372 + 133 -> 505
Job 15 Operation 1 on Machine 12 : 372 + 86 -> 458
Job 6 Operation 1 on Machine 4 : 379 + 128 -> 507
Job 19 Operation 2 on Machine 10 : 379 + 169 -> 548
Job 17 Operation 5 on Machine 2 : 401 + 15 -> 416
Job 12 Operation 3 on Machine 1 : 403 + 149 -> 552
Job 16 Operation 2 on Machine 2 : 416 + 93 -> 509
Job 17 Operation 6 on Machine 6 : 416 + 178 -> 594
Job 1 Operation 3 on Machine 5 : 424 + 125 -> 549
Job 7 Operation 3 on Machine 13 : 424 + 142 -> 566
Job 2 Operation 2 on Machine 3 : 427 + 130 -> 557
Job 8 Operation 3 on Machine 8 : 505 + 119 -> 624
Job 3 Operation 4 on Machine 11 : 505 + 168 -> 673
Job 4 Operation 2 on Machine 4 : 507 + 195 -> 702
Job 6 Operation 2 on Machine 12 : 507 + 160 -> 667
Job 16 Operation 3 on Machine 0 : 509 + 114 -> 623
Job 18 Operation 6 on Machine 2 : 509 + 172 -> 681
Job 15 Operation 2 on Machine 5 : 549 + 24 -> 573
Job 7 Operation 4 on Machine 14 : 566 + 124 -> 690
Job 19 Operation 3 on Machine 5 : 573 + 18 -> 591
Job 15 Operation 3 on Machine 7 : 573 + 21 -> 594
Job 13 Operation 0 on Machine 5 : 591 + 154 -> 745
Job 17 Operation 7 on Machine 3 : 594 + 105 -> 699
Job 9 Operation 3 on Machine 6 : 594 + 89 -> 683
Job 19 Operation 4 on Machine 0 : 623 + 147 -> 770
Job 3 Operation 5 on Machine 7 : 673 + 21 -> 694
Job 15 Operation 4 on Machine 11 : 673 + 33 -> 706
Job 6 Operation 3 on Machine 6 : 683 + 86 -> 769
Job 7 Operation 5 on Machine 8 : 690 + 188 -> 878
Job 2 Operation 3 on Machine 14 : 690 + 188 -> 878
Job 12 Operation 4 on Machine 7 : 694 + 155 -> 849
Job 1 Operation 4 on Machine 3 : 699 + 121 -> 820
Job 17 Operation 8 on Machine 10 : 699 + 135 -> 834
Job 5 Operation 0 on Machine 4 : 702 + 151 -> 853
Job 4 Operation 3 on Machine 6 : 769 + 75 -> 844
Job 19 Operation 5 on Machine 9 : 770 + 166 -> 936
Job 1 Operation 5 on Machine 0 : 820 + 122 -> 942
Job 6 Operation 4 on Machine 3 : 820 + 154 -> 974
Job 9 Operation 4 on Machine 10 : 834 + 126 -> 960
Job 3 Operation 6 on Machine 6 : 844 + 134 -> 978
Job 7 Operation 6 on Machine 1 : 878 + 169 -> 1047
Job 2 Operation 4 on Machine 4 : 878 + 52 -> 930
Job 16 Operation 4 on Machine 8 : 878 + 113 -> 991
Job 12 Operation 5 on Machine 14 : 878 + 44 -> 922
Job 12 Operation 6 on Machine 2 : 922 + 94 -> 1016
Job 4 Operation 4 on Machine 14 : 922 + 198 -> 1120
Job 15 Operation 5 on Machine 4 : 930 + 54 -> 984
Job 2 Operation 5 on Machine 11 : 930 + 112 -> 1042
Job 19 Operation 6 on Machine 7 : 936 + 113 -> 1049
Job 9 Operation 5 on Machine 0 : 960 + 100 -> 1060
Job 5 Operation 1 on Machine 3 : 974 + 5 -> 979
Job 3 Operation 7 on Machine 13 : 978 + 156 -> 1134
Job 5 Operation 2 on Machine 5 : 979 + 194 -> 1173
Job 15 Operation 6 on Machine 3 : 984 + 103 -> 1087
Job 14 Operation 3 on Machine 4 : 984 + 194 -> 1178
Job 12 Operation 7 on Machine 10 : 1016 + 89 -> 1105
Job 2 Operation 6 on Machine 9 : 1042 + 50 -> 1092
Job 8 Operation 4 on Machine 11 : 1042 + 184 -> 1226
Job 6 Operation 5 on Machine 1 : 1047 + 12 -> 1059
Job 19 Operation 7 on Machine 8 : 1049 + 144 -> 1193
Job 6 Operation 6 on Machine 0 : 1060 + 182 -> 1242
Job 9 Operation 6 on Machine 1 : 1060 + 80 -> 1140
Job 0 Operation 2 on Machine 3 : 1087 + 70 -> 1157
Job 15 Operation 7 on Machine 9 : 1092 + 16 -> 1108
Job 1 Operation 6 on Machine 9 : 1108 + 164 -> 1272
Job 4 Operation 5 on Machine 10 : 1120 + 155 -> 1275
Job 17 Operation 9 on Machine 1 : 1140 + 148 -> 1288
Job 9 Operation 7 on Machine 2 : 1140 + 163 -> 1303
Job 10 Operation 1 on Machine 3 : 1157 + 182 -> 1339
Job 0 Operation 3 on Machine 4 : 1178 + 89 -> 1267
Job 14 Operation 4 on Machine 12 : 1178 + 159 -> 1337
Job 12 Operation 8 on Machine 8 : 1193 + 143 -> 1336
Job 19 Operation 8 on Machine 14 : 1193 + 22 -> 1215
Job 15 Operation 8 on Machine 14 : 1215 + 100 -> 1315
Job 8 Operation 5 on Machine 5 : 1226 + 138 -> 1364
Job 19 Operation 9 on Machine 11 : 1226 + 69 -> 1295
Job 6 Operation 7 on Machine 13 : 1242 + 121 -> 1363
Job 3 Operation 8 on Machine 4 : 1267 + 75 -> 1342
Job 2 Operation 7 on Machine 10 : 1275 + 54 -> 1329
Job 17 Operation 10 on Machine 7 : 1288 + 178 -> 1466
Job 0 Operation 4 on Machine 11 : 1295 + 131 -> 1426
Job 19 Operation 10 on Machine 2 : 1303 + 57 -> 1360
Job 9 Operation 8 on Machine 9 : 1303 + 102 -> 1405
Job 15 Operation 9 on Machine 6 : 1315 + 22 -> 1337
Job 4 Operation 6 on Machine 12 : 1337 + 6 -> 1343
Job 11 Operation 1 on Machine 3 : 1339 + 157 -> 1496
Job 10 Operation 2 on Machine 8 : 1339 + 160 -> 1499
Job 16 Operation 5 on Machine 4 : 1342 + 54 -> 1396
Job 12 Operation 9 on Machine 12 : 1343 + 37 -> 1380
Job 3 Operation 9 on Machine 2 : 1360 + 189 -> 1549
Job 6 Operation 8 on Machine 10 : 1363 + 183 -> 1546
Job 1 Operation 7 on Machine 13 : 1363 + 81 -> 1444
Job 18 Operation 7 on Machine 4 : 1396 + 171 -> 1567
Job 16 Operation 6 on Machine 6 : 1396 + 109 -> 1505
Job 9 Operation 9 on Machine 5 : 1405 + 192 -> 1597
Job 4 Operation 7 on Machine 9 : 1405 + 103 -> 1508
Job 17 Operation 11 on Machine 11 : 1466 + 106 -> 1572
Job 11 Operation 2 on Machine 12 : 1496 + 143 -> 1639
Job 10 Operation 3 on Machine 14 : 1499 + 99 -> 1598
Job 8 Operation 6 on Machine 6 : 1505 + 13 -> 1518
Job 4 Operation 8 on Machine 8 : 1508 + 171 -> 1679
Job 8 Operation 7 on Machine 9 : 1518 + 68 -> 1586
Job 6 Operation 9 on Machine 7 : 1546 + 78 -> 1624
Job 14 Operation 5 on Machine 10 : 1546 + 85 -> 1631
Job 1 Operation 8 on Machine 2 : 1549 + 1 -> 1550
Job 3 Operation 10 on Machine 3 : 1549 + 129 -> 1678
Job 1 Operation 9 on Machine 1 : 1550 + 89 -> 1639
Job 7 Operation 7 on Machine 2 : 1550 + 183 -> 1733
Job 16 Operation 7 on Machine 11 : 1572 + 66 -> 1638
Job 8 Operation 8 on Machine 4 : 1586 + 112 -> 1698
Job 10 Operation 4 on Machine 9 : 1598 + 57 -> 1655
Job 9 Operation 10 on Machine 7 : 1624 + 98 -> 1722
Job 14 Operation 6 on Machine 5 : 1631 + 119 -> 1750
Job 5 Operation 3 on Machine 10 : 1631 + 79 -> 1710
Job 16 Operation 8 on Machine 13 : 1638 + 99 -> 1737
Job 19 Operation 11 on Machine 1 : 1639 + 75 -> 1714
Job 11 Operation 3 on Machine 6 : 1639 + 168 -> 1807
Job 1 Operation 10 on Machine 12 : 1639 + 93 -> 1732
Job 12 Operation 10 on Machine 9 : 1655 + 6 -> 1661
Job 10 Operation 5 on Machine 11 : 1655 + 72 -> 1727
Job 12 Operation 11 on Machine 0 : 1661 + 117 -> 1778
Job 3 Operation 11 on Machine 9 : 1678 + 176 -> 1854
Job 4 Operation 9 on Machine 3 : 1679 + 191 -> 1870
Job 15 Operation 10 on Machine 8 : 1679 + 98 -> 1777
Job 10 Operation 6 on Machine 4 : 1727 + 96 -> 1823
Job 1 Operation 11 on Machine 11 : 1732 + 133 -> 1865
Job 5 Operation 4 on Machine 12 : 1732 + 66 -> 1798
Job 2 Operation 8 on Machine 2 : 1733 + 154 -> 1887
Job 14 Operation 7 on Machine 14 : 1750 + 93 -> 1843
Job 8 Operation 9 on Machine 12 : 1798 + 92 -> 1890
Job 5 Operation 5 on Machine 13 : 1798 + 165 -> 1963
Job 11 Operation 4 on Machine 1 : 1807 + 46 -> 1853
Job 7 Operation 8 on Machine 6 : 1807 + 160 -> 1967
Job 14 Operation 8 on Machine 7 : 1843 + 172 -> 2015
Job 3 Operation 12 on Machine 14 : 1854 + 96 -> 1950
Job 1 Operation 12 on Machine 8 : 1865 + 192 -> 2057
Job 9 Operation 11 on Machine 11 : 1865 + 16 -> 1881
Job 13 Operation 1 on Machine 3 : 1870 + 171 -> 2041
Job 9 Operation 12 on Machine 4 : 1881 + 122 -> 2003
Job 4 Operation 10 on Machine 11 : 1881 + 28 -> 1909
Job 2 Operation 9 on Machine 0 : 1887 + 89 -> 1976
Job 12 Operation 12 on Machine 11 : 1909 + 146 -> 2055
Job 3 Operation 13 on Machine 12 : 1950 + 33 -> 1983
Job 11 Operation 5 on Machine 14 : 1950 + 75 -> 2025
Job 5 Operation 6 on Machine 9 : 1963 + 12 -> 1975
Job 10 Operation 7 on Machine 13 : 1963 + 72 -> 2035
Job 5 Operation 7 on Machine 2 : 1975 + 148 -> 2123
Job 3 Operation 14 on Machine 5 : 1983 + 142 -> 2125
Job 18 Operation 8 on Machine 12 : 1983 + 173 -> 2156
Job 14 Operation 9 on Machine 0 : 2015 + 4 -> 2019
Job 7 Operation 9 on Machine 7 : 2015 + 53 -> 2068
Job 11 Operation 6 on Machine 9 : 2025 + 1 -> 2026
Job 9 Operation 13 on Machine 14 : 2025 + 129 -> 2154
Job 11 Operation 7 on Machine 0 : 2026 + 114 -> 2140
Job 0 Operation 5 on Machine 9 : 2026 + 161 -> 2187
Job 15 Operation 11 on Machine 13 : 2035 + 93 -> 2128
Job 13 Operation 2 on Machine 8 : 2057 + 55 -> 2112
Job 10 Operation 8 on Machine 7 : 2068 + 43 -> 2111
Job 10 Operation 9 on Machine 1 : 2111 + 75 -> 2186
Job 14 Operation 10 on Machine 8 : 2112 + 57 -> 2169
Job 13 Operation 3 on Machine 11 : 2112 + 10 -> 2122
Job 13 Operation 4 on Machine 7 : 2122 + 150 -> 2272
Job 7 Operation 10 on Machine 11 : 2122 + 76 -> 2198
Job 4 Operation 11 on Machine 2 : 2123 + 90 -> 2213
Job 5 Operation 8 on Machine 6 : 2123 + 135 -> 2258
Job 15 Operation 12 on Machine 10 : 2128 + 131 -> 2259
Job 11 Operation 8 on Machine 13 : 2140 + 152 -> 2292
Job 18 Operation 9 on Machine 0 : 2156 + 82 -> 2238
Job 6 Operation 10 on Machine 8 : 2169 + 127 -> 2296
Job 10 Operation 10 on Machine 12 : 2186 + 29 -> 2215
Job 0 Operation 6 on Machine 14 : 2187 + 73 -> 2260
Job 7 Operation 11 on Machine 9 : 2198 + 107 -> 2305
Job 14 Operation 11 on Machine 11 : 2198 + 163 -> 2361
Job 10 Operation 11 on Machine 2 : 2215 + 142 -> 2357
Job 19 Operation 12 on Machine 6 : 2258 + 50 -> 2308
Job 15 Operation 13 on Machine 1 : 2259 + 85 -> 2344
Job 0 Operation 7 on Machine 0 : 2260 + 24 -> 2284
Job 5 Operation 9 on Machine 7 : 2272 + 8 -> 2280
Job 13 Operation 5 on Machine 14 : 2272 + 17 -> 2289
Job 2 Operation 10 on Machine 7 : 2280 + 95 -> 2375
Job 4 Operation 12 on Machine 0 : 2284 + 25 -> 2309
Job 11 Operation 9 on Machine 4 : 2292 + 110 -> 2402
Job 8 Operation 10 on Machine 13 : 2292 + 78 -> 2370
Job 0 Operation 8 on Machine 8 : 2296 + 58 -> 2354
Job 16 Operation 9 on Machine 9 : 2305 + 120 -> 2425
Job 13 Operation 6 on Machine 6 : 2308 + 114 -> 2422
Job 19 Operation 13 on Machine 12 : 2308 + 69 -> 2377
Job 5 Operation 10 on Machine 8 : 2354 + 86 -> 2440
Job 14 Operation 12 on Machine 2 : 2361 + 31 -> 2392
Job 6 Operation 11 on Machine 11 : 2361 + 197 -> 2558
Job 0 Operation 9 on Machine 13 : 2370 + 96 -> 2466
Job 18 Operation 10 on Machine 7 : 2375 + 5 -> 2380
Job 18 Operation 11 on Machine 1 : 2380 + 106 -> 2486
Job 8 Operation 11 on Machine 2 : 2392 + 184 -> 2576
Job 12 Operation 13 on Machine 4 : 2402 + 81 -> 2483
Job 11 Operation 10 on Machine 10 : 2402 + 35 -> 2437
Job 10 Operation 12 on Machine 6 : 2422 + 42 -> 2464
Job 14 Operation 13 on Machine 9 : 2425 + 30 -> 2455
Job 11 Operation 11 on Machine 7 : 2437 + 188 -> 2625
Job 13 Operation 7 on Machine 10 : 2437 + 48 -> 2485
Job 17 Operation 12 on Machine 8 : 2440 + 11 -> 2451
Job 5 Operation 11 on Machine 14 : 2440 + 150 -> 2590
Job 10 Operation 13 on Machine 5 : 2464 + 50 -> 2514
Job 1 Operation 13 on Machine 6 : 2464 + 135 -> 2599
Job 2 Operation 11 on Machine 13 : 2466 + 70 -> 2536
Job 17 Operation 13 on Machine 4 : 2483 + 36 -> 2519
Job 7 Operation 12 on Machine 10 : 2485 + 198 -> 2683
Job 13 Operation 8 on Machine 12 : 2485 + 162 -> 2647
Job 16 Operation 10 on Machine 1 : 2486 + 86 -> 2572
Job 18 Operation 12 on Machine 9 : 2486 + 120 -> 2606
Job 10 Operation 14 on Machine 0 : 2514 + 122 -> 2636
Job 0 Operation 10 on Machine 5 : 2514 + 163 -> 2677
Job 14 Operation 14 on Machine 13 : 2536 + 149 -> 2685
Job 2 Operation 12 on Machine 1 : 2572 + 81 -> 2653
Job 15 Operation 14 on Machine 2 : 2576 + 119 -> 2695
Job 1 Operation 14 on Machine 14 : 2599 + 121 -> 2720
Job 8 Operation 12 on Machine 7 : 2625 + 100 -> 2725
Job 11 Operation 12 on Machine 11 : 2625 + 7 -> 2632
Job 11 Operation 13 on Machine 8 : 2632 + 120 -> 2752
Job 5 Operation 12 on Machine 11 : 2632 + 176 -> 2808
Job 13 Operation 9 on Machine 9 : 2647 + 153 -> 2800
Job 4 Operation 13 on Machine 1 : 2653 + 167 -> 2820
Job 7 Operation 13 on Machine 3 : 2683 + 37 -> 2720
Job 0 Operation 11 on Machine 10 : 2683 + 65 -> 2748
Job 12 Operation 14 on Machine 13 : 2685 + 116 -> 2801
Job 6 Operation 12 on Machine 2 : 2695 + 52 -> 2747
Job 7 Operation 14 on Machine 12 : 2720 + 77 -> 2797
Job 17 Operation 14 on Machine 14 : 2720 + 30 -> 2750
Job 0 Operation 12 on Machine 6 : 2748 + 20 -> 2768
Job 8 Operation 13 on Machine 10 : 2748 + 56 -> 2804
Job 11 Operation 14 on Machine 2 : 2752 + 164 -> 2916
Job 2 Operation 13 on Machine 8 : 2752 + 93 -> 2845
Job 0 Operation 13 on Machine 12 : 2797 + 62 -> 2859
Job 6 Operation 13 on Machine 9 : 2800 + 22 -> 2822
Job 13 Operation 10 on Machine 13 : 2801 + 130 -> 2931
Job 8 Operation 14 on Machine 3 : 2804 + 153 -> 2957
Job 16 Operation 11 on Machine 10 : 2804 + 86 -> 2890
Job 18 Operation 13 on Machine 11 : 2808 + 193 -> 3001
Job 5 Operation 13 on Machine 1 : 2820 + 31 -> 2851
Job 6 Operation 14 on Machine 5 : 2822 + 126 -> 2948
Job 5 Operation 14 on Machine 0 : 2851 + 153 -> 3004
Job 0 Operation 14 on Machine 1 : 2859 + 89 -> 2948
Job 2 Operation 14 on Machine 12 : 2859 + 159 -> 3018
Job 16 Operation 12 on Machine 14 : 2890 + 10 -> 2900
Job 16 Operation 13 on Machine 7 : 2900 + 23 -> 2923
Job 13 Operation 11 on Machine 4 : 2931 + 36 -> 2967
Job 4 Operation 14 on Machine 13 : 2931 + 14 -> 2945
Job 9 Operation 14 on Machine 13 : 2945 + 64 -> 3009
Job 16 Operation 14 on Machine 3 : 2957 + 50 -> 3007
Job 13 Operation 12 on Machine 2 : 2967 + 19 -> 2986
Job 13 Operation 13 on Machine 1 : 2986 + 30 -> 3016
Job 18 Operation 14 on Machine 13 : 3009 + 1 -> 3010
Job 19 Operation 14 on Machine 13 : 3010 + 19 -> 3029
Job 13 Operation 14 on Machine 0 : 3016 + 12 -> 3028
Makespan: 3029.0, as it is the maximum end completion time of Operation 14 |
7 | 3 | Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 10 mins.
Operation 1 on Machine 2 duration 68 mins.
Operation 2 on Machine 0 duration 273 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 77 mins.
Operation 1 on Machine 0 duration 195 mins.
Operation 2 on Machine 2 duration 215 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 155 mins.
Operation 1 on Machine 1 duration 173 mins.
Operation 2 on Machine 2 duration 182 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 223 mins.
Operation 1 on Machine 2 duration 241 mins.
Operation 2 on Machine 1 duration 150 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 282 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 1 duration 15 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 102 mins.
Operation 1 on Machine 1 duration 248 mins.
Operation 2 on Machine 2 duration 290 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 216 mins.
Operation 1 on Machine 1 duration 44 mins.
Operation 2 on Machine 2 duration 135 mins.
| Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 155 mins.
Job 3 Operation 0 duration 223 mins.
Job 4 Operation 0 duration 282 mins.
Job 5 Operation 0 duration 102 mins.
Job 6 Operation 0 duration 216 mins.
Job 1 Operation 1 duration 195 mins.
Job 0 Operation 2 duration 273 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 1 Operation 0 duration 77 mins.
Job 2 Operation 1 duration 173 mins.
Job 5 Operation 1 duration 248 mins.
Job 6 Operation 1 duration 44 mins.
Job 3 Operation 2 duration 150 mins.
Job 4 Operation 2 duration 15 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 68 mins.
Job 3 Operation 1 duration 241 mins.
Job 4 Operation 1 duration 88 mins.
Job 1 Operation 2 duration 215 mins.
Job 2 Operation 2 duration 182 mins.
Job 5 Operation 2 duration 290 mins.
Job 6 Operation 2 duration 135 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 223 -> 223
Job 0 Operation 0 on Machine 1 : 0 + 10 -> 10
Job 1 Operation 0 on Machine 1 : 10 + 77 -> 87
Job 0 Operation 1 on Machine 2 : 10 + 68 -> 78
Job 5 Operation 0 on Machine 0 : 223 + 102 -> 325
Job 3 Operation 1 on Machine 2 : 223 + 241 -> 464
Job 1 Operation 1 on Machine 0 : 325 + 195 -> 520
Job 5 Operation 1 on Machine 1 : 325 + 248 -> 573
Job 2 Operation 0 on Machine 0 : 520 + 155 -> 675
Job 1 Operation 2 on Machine 2 : 520 + 215 -> 735
Job 4 Operation 0 on Machine 0 : 675 + 282 -> 957
Job 2 Operation 1 on Machine 1 : 675 + 173 -> 848
Job 5 Operation 2 on Machine 2 : 735 + 290 -> 1025
Job 3 Operation 2 on Machine 1 : 848 + 150 -> 998
Job 6 Operation 0 on Machine 0 : 957 + 216 -> 1173
Job 4 Operation 1 on Machine 2 : 1025 + 88 -> 1113
Job 2 Operation 2 on Machine 2 : 1113 + 182 -> 1295
Job 0 Operation 2 on Machine 0 : 1173 + 273 -> 1446
Job 6 Operation 1 on Machine 1 : 1173 + 44 -> 1217
Job 4 Operation 2 on Machine 1 : 1217 + 15 -> 1232
Job 6 Operation 2 on Machine 2 : 1295 + 135 -> 1430
Makespan: 1446.0, as it is the maximum end completion time of Operation 2 |
10 | 4 | Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 327 mins.
Operation 1 on Machine 3 duration 91 mins.
Operation 2 on Machine 1 duration 110 mins.
Operation 3 on Machine 2 duration 144 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 289 mins.
Operation 1 on Machine 1 duration 420 mins.
Operation 2 on Machine 3 duration 24 mins.
Operation 3 on Machine 2 duration 101 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 316 mins.
Operation 1 on Machine 2 duration 407 mins.
Operation 2 on Machine 0 duration 199 mins.
Operation 3 on Machine 1 duration 414 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 23 mins.
Operation 1 on Machine 3 duration 247 mins.
Operation 2 on Machine 0 duration 375 mins.
Operation 3 on Machine 2 duration 381 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 159 mins.
Operation 1 on Machine 2 duration 301 mins.
Operation 2 on Machine 0 duration 109 mins.
Operation 3 on Machine 3 duration 30 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 7 mins.
Operation 1 on Machine 1 duration 132 mins.
Operation 2 on Machine 2 duration 322 mins.
Operation 3 on Machine 0 duration 373 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 284 mins.
Operation 1 on Machine 3 duration 421 mins.
Operation 2 on Machine 2 duration 38 mins.
Operation 3 on Machine 0 duration 318 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 220 mins.
Operation 1 on Machine 3 duration 9 mins.
Operation 2 on Machine 0 duration 24 mins.
Operation 3 on Machine 1 duration 113 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 179 mins.
Operation 1 on Machine 1 duration 303 mins.
Operation 2 on Machine 3 duration 62 mins.
Operation 3 on Machine 2 duration 220 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 313 mins.
Operation 1 on Machine 0 duration 61 mins.
Operation 2 on Machine 1 duration 315 mins.
Operation 3 on Machine 3 duration 130 mins.
| Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 327 mins.
Job 1 Operation 0 duration 289 mins.
Job 8 Operation 0 duration 179 mins.
Job 9 Operation 1 duration 61 mins.
Job 2 Operation 2 duration 199 mins.
Job 3 Operation 2 duration 375 mins.
Job 4 Operation 2 duration 109 mins.
Job 7 Operation 2 duration 24 mins.
Job 5 Operation 3 duration 373 mins.
Job 6 Operation 3 duration 318 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 23 mins.
Job 4 Operation 0 duration 159 mins.
Job 6 Operation 0 duration 284 mins.
Job 1 Operation 1 duration 420 mins.
Job 5 Operation 1 duration 132 mins.
Job 8 Operation 1 duration 303 mins.
Job 0 Operation 2 duration 110 mins.
Job 9 Operation 2 duration 315 mins.
Job 2 Operation 3 duration 414 mins.
Job 7 Operation 3 duration 113 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 220 mins.
Job 9 Operation 0 duration 313 mins.
Job 2 Operation 1 duration 407 mins.
Job 4 Operation 1 duration 301 mins.
Job 5 Operation 2 duration 322 mins.
Job 6 Operation 2 duration 38 mins.
Job 0 Operation 3 duration 144 mins.
Job 1 Operation 3 duration 101 mins.
Job 3 Operation 3 duration 381 mins.
Job 8 Operation 3 duration 220 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 316 mins.
Job 5 Operation 0 duration 7 mins.
Job 0 Operation 1 duration 91 mins.
Job 3 Operation 1 duration 247 mins.
Job 6 Operation 1 duration 421 mins.
Job 7 Operation 1 duration 9 mins.
Job 1 Operation 2 duration 24 mins.
Job 8 Operation 2 duration 62 mins.
Job 4 Operation 3 duration 30 mins.
Job 9 Operation 3 duration 130 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 289 -> 289
Job 4 Operation 0 on Machine 1 : 0 + 159 -> 159
Job 7 Operation 0 on Machine 2 : 0 + 220 -> 220
Job 5 Operation 0 on Machine 3 : 0 + 7 -> 7
Job 2 Operation 0 on Machine 3 : 7 + 316 -> 323
Job 3 Operation 0 on Machine 1 : 159 + 23 -> 182
Job 4 Operation 1 on Machine 2 : 220 + 301 -> 521
Job 0 Operation 0 on Machine 0 : 289 + 327 -> 616
Job 1 Operation 1 on Machine 1 : 289 + 420 -> 709
Job 7 Operation 1 on Machine 3 : 323 + 9 -> 332
Job 3 Operation 1 on Machine 3 : 332 + 247 -> 579
Job 9 Operation 0 on Machine 2 : 521 + 313 -> 834
Job 3 Operation 2 on Machine 0 : 616 + 375 -> 991
Job 5 Operation 1 on Machine 1 : 709 + 132 -> 841
Job 1 Operation 2 on Machine 3 : 709 + 24 -> 733
Job 0 Operation 1 on Machine 3 : 733 + 91 -> 824
Job 1 Operation 3 on Machine 2 : 834 + 101 -> 935
Job 6 Operation 0 on Machine 1 : 841 + 284 -> 1125
Job 5 Operation 2 on Machine 2 : 935 + 322 -> 1257
Job 8 Operation 0 on Machine 0 : 991 + 179 -> 1170
Job 0 Operation 2 on Machine 1 : 1125 + 110 -> 1235
Job 6 Operation 1 on Machine 3 : 1125 + 421 -> 1546
Job 7 Operation 2 on Machine 0 : 1170 + 24 -> 1194
Job 9 Operation 1 on Machine 0 : 1194 + 61 -> 1255
Job 8 Operation 1 on Machine 1 : 1235 + 303 -> 1538
Job 4 Operation 2 on Machine 0 : 1255 + 109 -> 1364
Job 0 Operation 3 on Machine 2 : 1257 + 144 -> 1401
Job 5 Operation 3 on Machine 0 : 1364 + 373 -> 1737
Job 2 Operation 1 on Machine 2 : 1401 + 407 -> 1808
Job 7 Operation 3 on Machine 1 : 1538 + 113 -> 1651
Job 4 Operation 3 on Machine 3 : 1546 + 30 -> 1576
Job 8 Operation 2 on Machine 3 : 1576 + 62 -> 1638
Job 9 Operation 2 on Machine 1 : 1651 + 315 -> 1966
Job 2 Operation 2 on Machine 0 : 1808 + 199 -> 2007
Job 6 Operation 2 on Machine 2 : 1808 + 38 -> 1846
Job 3 Operation 3 on Machine 2 : 1846 + 381 -> 2227
Job 9 Operation 3 on Machine 3 : 1966 + 130 -> 2096
Job 6 Operation 3 on Machine 0 : 2007 + 318 -> 2325
Job 2 Operation 3 on Machine 1 : 2007 + 414 -> 2421
Job 8 Operation 3 on Machine 2 : 2227 + 220 -> 2447
Makespan: 2447.0, as it is the maximum end completion time of Operation 3 |
4 | 4 | Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 2 duration 31 mins.
Operation 2 on Machine 1 duration 44 mins.
Operation 3 on Machine 3 duration 191 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 285 mins.
Operation 1 on Machine 3 duration 72 mins.
Operation 2 on Machine 1 duration 163 mins.
Operation 3 on Machine 0 duration 280 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 315 mins.
Operation 1 on Machine 3 duration 198 mins.
Operation 2 on Machine 0 duration 72 mins.
Operation 3 on Machine 2 duration 264 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 67 mins.
Operation 1 on Machine 0 duration 46 mins.
Operation 2 on Machine 2 duration 241 mins.
Operation 3 on Machine 3 duration 88 mins.
| Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 4 mins.
Job 3 Operation 1 duration 46 mins.
Job 2 Operation 2 duration 72 mins.
Job 1 Operation 3 duration 280 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 315 mins.
Job 3 Operation 0 duration 67 mins.
Job 0 Operation 2 duration 44 mins.
Job 1 Operation 2 duration 163 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 285 mins.
Job 0 Operation 1 duration 31 mins.
Job 3 Operation 2 duration 241 mins.
Job 2 Operation 3 duration 264 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 72 mins.
Job 2 Operation 1 duration 198 mins.
Job 0 Operation 3 duration 191 mins.
Job 3 Operation 3 duration 88 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 4 -> 4
Job 3 Operation 0 on Machine 1 : 0 + 67 -> 67
Job 1 Operation 0 on Machine 2 : 0 + 285 -> 285
Job 3 Operation 1 on Machine 0 : 67 + 46 -> 113
Job 2 Operation 0 on Machine 1 : 67 + 315 -> 382
Job 0 Operation 1 on Machine 2 : 285 + 31 -> 316
Job 1 Operation 1 on Machine 3 : 285 + 72 -> 357
Job 3 Operation 2 on Machine 2 : 316 + 241 -> 557
Job 0 Operation 2 on Machine 1 : 382 + 44 -> 426
Job 2 Operation 1 on Machine 3 : 382 + 198 -> 580
Job 1 Operation 2 on Machine 1 : 426 + 163 -> 589
Job 2 Operation 2 on Machine 0 : 580 + 72 -> 652
Job 3 Operation 3 on Machine 3 : 580 + 88 -> 668
Job 1 Operation 3 on Machine 0 : 652 + 280 -> 932
Job 2 Operation 3 on Machine 2 : 652 + 264 -> 916
Job 0 Operation 3 on Machine 3 : 668 + 191 -> 859
Makespan: 932.0, as it is the maximum end completion time of Operation 3 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 186 mins.
Operation 1 on Machine 6 duration 188 mins.
Operation 2 on Machine 7 duration 54 mins.
Operation 3 on Machine 2 duration 116 mins.
Operation 4 on Machine 3 duration 7 mins.
Operation 5 on Machine 1 duration 135 mins.
Operation 6 on Machine 5 duration 43 mins.
Operation 7 on Machine 0 duration 36 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 173 mins.
Operation 1 on Machine 0 duration 180 mins.
Operation 2 on Machine 4 duration 236 mins.
Operation 3 on Machine 6 duration 114 mins.
Operation 4 on Machine 2 duration 21 mins.
Operation 5 on Machine 7 duration 170 mins.
Operation 6 on Machine 5 duration 56 mins.
Operation 7 on Machine 1 duration 233 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 195 mins.
Operation 1 on Machine 4 duration 167 mins.
Operation 2 on Machine 7 duration 208 mins.
Operation 3 on Machine 5 duration 26 mins.
Operation 4 on Machine 3 duration 89 mins.
Operation 5 on Machine 6 duration 188 mins.
Operation 6 on Machine 0 duration 43 mins.
Operation 7 on Machine 2 duration 181 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 203 mins.
Operation 1 on Machine 5 duration 14 mins.
Operation 2 on Machine 2 duration 231 mins.
Operation 3 on Machine 6 duration 190 mins.
Operation 4 on Machine 1 duration 53 mins.
Operation 5 on Machine 3 duration 141 mins.
Operation 6 on Machine 0 duration 8 mins.
Operation 7 on Machine 7 duration 206 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 41 mins.
Operation 1 on Machine 3 duration 153 mins.
Operation 2 on Machine 0 duration 172 mins.
Operation 3 on Machine 2 duration 3 mins.
Operation 4 on Machine 4 duration 136 mins.
Operation 5 on Machine 5 duration 17 mins.
Operation 6 on Machine 1 duration 202 mins.
Operation 7 on Machine 6 duration 116 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 177 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 6 duration 170 mins.
Operation 3 on Machine 7 duration 234 mins.
Operation 4 on Machine 2 duration 79 mins.
Operation 5 on Machine 4 duration 9 mins.
Operation 6 on Machine 5 duration 20 mins.
Operation 7 on Machine 3 duration 195 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 158 mins.
Operation 1 on Machine 0 duration 140 mins.
Operation 2 on Machine 4 duration 212 mins.
Operation 3 on Machine 7 duration 213 mins.
Operation 4 on Machine 2 duration 213 mins.
Operation 5 on Machine 5 duration 156 mins.
Operation 6 on Machine 6 duration 18 mins.
Operation 7 on Machine 1 duration 148 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 87 mins.
Operation 1 on Machine 3 duration 193 mins.
Operation 2 on Machine 1 duration 197 mins.
Operation 3 on Machine 4 duration 143 mins.
Operation 4 on Machine 5 duration 131 mins.
Operation 5 on Machine 7 duration 194 mins.
Operation 6 on Machine 2 duration 226 mins.
Operation 7 on Machine 0 duration 194 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 7 duration 196 mins.
Operation 1 on Machine 5 duration 75 mins.
Operation 2 on Machine 4 duration 231 mins.
Operation 3 on Machine 3 duration 20 mins.
Operation 4 on Machine 0 duration 194 mins.
Operation 5 on Machine 6 duration 81 mins.
Operation 6 on Machine 1 duration 234 mins.
Operation 7 on Machine 2 duration 128 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 5 duration 215 mins.
Operation 1 on Machine 4 duration 60 mins.
Operation 2 on Machine 0 duration 69 mins.
Operation 3 on Machine 2 duration 236 mins.
Operation 4 on Machine 3 duration 141 mins.
Operation 5 on Machine 6 duration 119 mins.
Operation 6 on Machine 1 duration 86 mins.
Operation 7 on Machine 7 duration 233 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 177 mins.
Job 1 Operation 1 duration 180 mins.
Job 6 Operation 1 duration 140 mins.
Job 4 Operation 2 duration 172 mins.
Job 9 Operation 2 duration 69 mins.
Job 8 Operation 4 duration 194 mins.
Job 2 Operation 6 duration 43 mins.
Job 3 Operation 6 duration 8 mins.
Job 0 Operation 7 duration 36 mins.
Job 7 Operation 7 duration 194 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 195 mins.
Job 5 Operation 1 duration 12 mins.
Job 7 Operation 2 duration 197 mins.
Job 3 Operation 4 duration 53 mins.
Job 0 Operation 5 duration 135 mins.
Job 4 Operation 6 duration 202 mins.
Job 8 Operation 6 duration 234 mins.
Job 9 Operation 6 duration 86 mins.
Job 1 Operation 7 duration 233 mins.
Job 6 Operation 7 duration 148 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 2 duration 231 mins.
Job 0 Operation 3 duration 116 mins.
Job 4 Operation 3 duration 3 mins.
Job 9 Operation 3 duration 236 mins.
Job 1 Operation 4 duration 21 mins.
Job 5 Operation 4 duration 79 mins.
Job 6 Operation 4 duration 213 mins.
Job 7 Operation 6 duration 226 mins.
Job 2 Operation 7 duration 181 mins.
Job 8 Operation 7 duration 128 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 173 mins.
Job 6 Operation 0 duration 158 mins.
Job 4 Operation 1 duration 153 mins.
Job 7 Operation 1 duration 193 mins.
Job 8 Operation 3 duration 20 mins.
Job 0 Operation 4 duration 7 mins.
Job 2 Operation 4 duration 89 mins.
Job 9 Operation 4 duration 141 mins.
Job 3 Operation 5 duration 141 mins.
Job 5 Operation 7 duration 195 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 186 mins.
Job 3 Operation 0 duration 203 mins.
Job 2 Operation 1 duration 167 mins.
Job 9 Operation 1 duration 60 mins.
Job 1 Operation 2 duration 236 mins.
Job 6 Operation 2 duration 212 mins.
Job 8 Operation 2 duration 231 mins.
Job 7 Operation 3 duration 143 mins.
Job 4 Operation 4 duration 136 mins.
Job 5 Operation 5 duration 9 mins.
Machine 5 is used for the following Operations:
Job 9 Operation 0 duration 215 mins.
Job 3 Operation 1 duration 14 mins.
Job 8 Operation 1 duration 75 mins.
Job 2 Operation 3 duration 26 mins.
Job 7 Operation 4 duration 131 mins.
Job 4 Operation 5 duration 17 mins.
Job 6 Operation 5 duration 156 mins.
Job 0 Operation 6 duration 43 mins.
Job 1 Operation 6 duration 56 mins.
Job 5 Operation 6 duration 20 mins.
Machine 6 is used for the following Operations:
Job 7 Operation 0 duration 87 mins.
Job 0 Operation 1 duration 188 mins.
Job 5 Operation 2 duration 170 mins.
Job 1 Operation 3 duration 114 mins.
Job 3 Operation 3 duration 190 mins.
Job 2 Operation 5 duration 188 mins.
Job 8 Operation 5 duration 81 mins.
Job 9 Operation 5 duration 119 mins.
Job 6 Operation 6 duration 18 mins.
Job 4 Operation 7 duration 116 mins.
Machine 7 is used for the following Operations:
Job 4 Operation 0 duration 41 mins.
Job 8 Operation 0 duration 196 mins.
Job 0 Operation 2 duration 54 mins.
Job 2 Operation 2 duration 208 mins.
Job 5 Operation 3 duration 234 mins.
Job 6 Operation 3 duration 213 mins.
Job 1 Operation 5 duration 170 mins.
Job 7 Operation 5 duration 194 mins.
Job 3 Operation 7 duration 206 mins.
Job 9 Operation 7 duration 233 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 177 -> 177
Job 2 Operation 0 on Machine 1 : 0 + 195 -> 195
Job 6 Operation 0 on Machine 3 : 0 + 158 -> 158
Job 3 Operation 0 on Machine 4 : 0 + 203 -> 203
Job 9 Operation 0 on Machine 5 : 0 + 215 -> 215
Job 7 Operation 0 on Machine 6 : 0 + 87 -> 87
Job 4 Operation 0 on Machine 7 : 0 + 41 -> 41
Job 8 Operation 0 on Machine 7 : 41 + 196 -> 237
Job 1 Operation 0 on Machine 3 : 158 + 173 -> 331
Job 6 Operation 1 on Machine 0 : 177 + 140 -> 317
Job 5 Operation 1 on Machine 1 : 195 + 12 -> 207
Job 5 Operation 2 on Machine 6 : 207 + 170 -> 377
Job 9 Operation 1 on Machine 4 : 215 + 60 -> 275
Job 8 Operation 1 on Machine 5 : 237 + 75 -> 312
Job 0 Operation 0 on Machine 4 : 275 + 186 -> 461
Job 3 Operation 1 on Machine 5 : 312 + 14 -> 326
Job 9 Operation 2 on Machine 0 : 317 + 69 -> 386
Job 7 Operation 1 on Machine 3 : 331 + 193 -> 524
Job 5 Operation 3 on Machine 7 : 377 + 234 -> 611
Job 1 Operation 1 on Machine 0 : 386 + 180 -> 566
Job 9 Operation 3 on Machine 2 : 386 + 236 -> 622
Job 6 Operation 2 on Machine 4 : 461 + 212 -> 673
Job 0 Operation 1 on Machine 6 : 461 + 188 -> 649
Job 7 Operation 2 on Machine 1 : 524 + 197 -> 721
Job 3 Operation 2 on Machine 2 : 622 + 231 -> 853
Job 9 Operation 4 on Machine 3 : 622 + 141 -> 763
Job 0 Operation 2 on Machine 7 : 649 + 54 -> 703
Job 8 Operation 2 on Machine 4 : 673 + 231 -> 904
Job 6 Operation 3 on Machine 7 : 703 + 213 -> 916
Job 4 Operation 1 on Machine 3 : 763 + 153 -> 916
Job 9 Operation 5 on Machine 6 : 763 + 119 -> 882
Job 0 Operation 3 on Machine 2 : 853 + 116 -> 969
Job 9 Operation 6 on Machine 1 : 882 + 86 -> 968
Job 3 Operation 3 on Machine 6 : 882 + 190 -> 1072
Job 7 Operation 3 on Machine 4 : 904 + 143 -> 1047
Job 8 Operation 3 on Machine 3 : 916 + 20 -> 936
Job 8 Operation 4 on Machine 0 : 936 + 194 -> 1130
Job 9 Operation 7 on Machine 7 : 968 + 233 -> 1201
Job 6 Operation 4 on Machine 2 : 969 + 213 -> 1182
Job 0 Operation 4 on Machine 3 : 969 + 7 -> 976
Job 0 Operation 5 on Machine 1 : 976 + 135 -> 1111
Job 2 Operation 1 on Machine 4 : 1047 + 167 -> 1214
Job 7 Operation 4 on Machine 5 : 1047 + 131 -> 1178
Job 3 Operation 4 on Machine 1 : 1111 + 53 -> 1164
Job 4 Operation 2 on Machine 0 : 1130 + 172 -> 1302
Job 8 Operation 5 on Machine 6 : 1130 + 81 -> 1211
Job 5 Operation 4 on Machine 2 : 1182 + 79 -> 1261
Job 6 Operation 5 on Machine 5 : 1182 + 156 -> 1338
Job 8 Operation 6 on Machine 1 : 1211 + 234 -> 1445
Job 1 Operation 2 on Machine 4 : 1214 + 236 -> 1450
Job 2 Operation 2 on Machine 7 : 1214 + 208 -> 1422
Job 4 Operation 3 on Machine 2 : 1302 + 3 -> 1305
Job 6 Operation 6 on Machine 6 : 1338 + 18 -> 1356
Job 2 Operation 3 on Machine 5 : 1422 + 26 -> 1448
Job 7 Operation 5 on Machine 7 : 1422 + 194 -> 1616
Job 6 Operation 7 on Machine 1 : 1445 + 148 -> 1593
Job 8 Operation 7 on Machine 2 : 1445 + 128 -> 1573
Job 2 Operation 4 on Machine 3 : 1448 + 89 -> 1537
Job 0 Operation 6 on Machine 5 : 1448 + 43 -> 1491
Job 4 Operation 4 on Machine 4 : 1450 + 136 -> 1586
Job 1 Operation 3 on Machine 6 : 1450 + 114 -> 1564
Job 0 Operation 7 on Machine 0 : 1491 + 36 -> 1527
Job 3 Operation 5 on Machine 3 : 1537 + 141 -> 1678
Job 2 Operation 5 on Machine 6 : 1564 + 188 -> 1752
Job 1 Operation 4 on Machine 2 : 1573 + 21 -> 1594
Job 5 Operation 5 on Machine 4 : 1586 + 9 -> 1595
Job 4 Operation 5 on Machine 5 : 1586 + 17 -> 1603
Job 4 Operation 6 on Machine 1 : 1603 + 202 -> 1805
Job 5 Operation 6 on Machine 5 : 1603 + 20 -> 1623
Job 7 Operation 6 on Machine 2 : 1616 + 226 -> 1842
Job 1 Operation 5 on Machine 7 : 1616 + 170 -> 1786
Job 5 Operation 7 on Machine 3 : 1678 + 195 -> 1873
Job 2 Operation 6 on Machine 0 : 1752 + 43 -> 1795
Job 1 Operation 6 on Machine 5 : 1786 + 56 -> 1842
Job 3 Operation 6 on Machine 0 : 1795 + 8 -> 1803
Job 3 Operation 7 on Machine 7 : 1803 + 206 -> 2009
Job 4 Operation 7 on Machine 6 : 1805 + 116 -> 1921
Job 7 Operation 7 on Machine 0 : 1842 + 194 -> 2036
Job 1 Operation 7 on Machine 1 : 1842 + 233 -> 2075
Job 2 Operation 7 on Machine 2 : 1842 + 181 -> 2023
Makespan: 2075.0, as it is the maximum end completion time of Operation 7 |
4 | 2 | Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 1 duration 48 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 89 mins.
Operation 1 on Machine 0 duration 98 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 100 mins.
Operation 1 on Machine 1 duration 13 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 97 mins.
Operation 1 on Machine 1 duration 12 mins.
| Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 30 mins.
Job 2 Operation 0 duration 100 mins.
Job 3 Operation 0 duration 97 mins.
Job 1 Operation 1 duration 98 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 89 mins.
Job 0 Operation 1 duration 48 mins.
Job 2 Operation 1 duration 13 mins.
Job 3 Operation 1 duration 12 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 30 -> 30
Job 1 Operation 0 on Machine 1 : 0 + 89 -> 89
Job 2 Operation 0 on Machine 0 : 30 + 100 -> 130
Job 3 Operation 0 on Machine 0 : 130 + 97 -> 227
Job 2 Operation 1 on Machine 1 : 130 + 13 -> 143
Job 0 Operation 1 on Machine 1 : 143 + 48 -> 191
Job 1 Operation 1 on Machine 0 : 227 + 98 -> 325
Job 3 Operation 1 on Machine 1 : 227 + 12 -> 239
Makespan: 325.0, as it is the maximum end completion time of Operation 1 |
8 | 3 | Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 0 duration 15 mins.
Operation 2 on Machine 1 duration 30 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 23 mins.
Operation 1 on Machine 2 duration 2 mins.
Operation 2 on Machine 0 duration 20 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 40 mins.
Operation 1 on Machine 0 duration 37 mins.
Operation 2 on Machine 2 duration 15 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 22 mins.
Operation 1 on Machine 2 duration 38 mins.
Operation 2 on Machine 1 duration 5 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 21 mins.
Operation 1 on Machine 2 duration 35 mins.
Operation 2 on Machine 1 duration 36 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 33 mins.
Operation 1 on Machine 1 duration 3 mins.
Operation 2 on Machine 2 duration 12 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 33 mins.
Operation 1 on Machine 0 duration 44 mins.
Operation 2 on Machine 1 duration 25 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 23 mins.
Operation 1 on Machine 2 duration 44 mins.
Operation 2 on Machine 1 duration 19 mins.
| Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 22 mins.
Job 4 Operation 0 duration 21 mins.
Job 5 Operation 0 duration 33 mins.
Job 7 Operation 0 duration 23 mins.
Job 0 Operation 1 duration 15 mins.
Job 2 Operation 1 duration 37 mins.
Job 6 Operation 1 duration 44 mins.
Job 1 Operation 2 duration 20 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 23 mins.
Job 2 Operation 0 duration 40 mins.
Job 5 Operation 1 duration 3 mins.
Job 0 Operation 2 duration 30 mins.
Job 3 Operation 2 duration 5 mins.
Job 4 Operation 2 duration 36 mins.
Job 6 Operation 2 duration 25 mins.
Job 7 Operation 2 duration 19 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 4 mins.
Job 6 Operation 0 duration 33 mins.
Job 1 Operation 1 duration 2 mins.
Job 3 Operation 1 duration 38 mins.
Job 4 Operation 1 duration 35 mins.
Job 7 Operation 1 duration 44 mins.
Job 2 Operation 2 duration 15 mins.
Job 5 Operation 2 duration 12 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 23 -> 23
Job 1 Operation 0 on Machine 1 : 0 + 23 -> 23
Job 0 Operation 0 on Machine 2 : 0 + 4 -> 4
Job 5 Operation 0 on Machine 0 : 23 + 33 -> 56
Job 2 Operation 0 on Machine 1 : 23 + 40 -> 63
Job 7 Operation 1 on Machine 2 : 23 + 44 -> 67
Job 0 Operation 1 on Machine 0 : 56 + 15 -> 71
Job 5 Operation 1 on Machine 1 : 63 + 3 -> 66
Job 7 Operation 2 on Machine 1 : 67 + 19 -> 86
Job 5 Operation 2 on Machine 2 : 67 + 12 -> 79
Job 4 Operation 0 on Machine 0 : 71 + 21 -> 92
Job 6 Operation 0 on Machine 2 : 79 + 33 -> 112
Job 0 Operation 2 on Machine 1 : 86 + 30 -> 116
Job 3 Operation 0 on Machine 0 : 92 + 22 -> 114
Job 4 Operation 1 on Machine 2 : 112 + 35 -> 147
Job 6 Operation 1 on Machine 0 : 114 + 44 -> 158
Job 4 Operation 2 on Machine 1 : 147 + 36 -> 183
Job 3 Operation 1 on Machine 2 : 147 + 38 -> 185
Job 2 Operation 1 on Machine 0 : 158 + 37 -> 195
Job 3 Operation 2 on Machine 1 : 185 + 5 -> 190
Job 1 Operation 1 on Machine 2 : 185 + 2 -> 187
Job 6 Operation 2 on Machine 1 : 190 + 25 -> 215
Job 1 Operation 2 on Machine 0 : 195 + 20 -> 215
Job 2 Operation 2 on Machine 2 : 195 + 15 -> 210
Makespan: 215.0, as it is the maximum end completion time of Operation 2 |
9 | 7 | Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 15 mins.
Operation 1 on Machine 5 duration 40 mins.
Operation 2 on Machine 3 duration 87 mins.
Operation 3 on Machine 4 duration 29 mins.
Operation 4 on Machine 6 duration 24 mins.
Operation 5 on Machine 0 duration 86 mins.
Operation 6 on Machine 2 duration 29 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 70 mins.
Operation 1 on Machine 0 duration 15 mins.
Operation 2 on Machine 2 duration 40 mins.
Operation 3 on Machine 5 duration 10 mins.
Operation 4 on Machine 3 duration 59 mins.
Operation 5 on Machine 6 duration 77 mins.
Operation 6 on Machine 4 duration 60 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 34 mins.
Operation 1 on Machine 3 duration 3 mins.
Operation 2 on Machine 6 duration 2 mins.
Operation 3 on Machine 4 duration 66 mins.
Operation 4 on Machine 1 duration 79 mins.
Operation 5 on Machine 0 duration 47 mins.
Operation 6 on Machine 5 duration 55 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 89 mins.
Operation 1 on Machine 2 duration 11 mins.
Operation 2 on Machine 6 duration 59 mins.
Operation 3 on Machine 5 duration 5 mins.
Operation 4 on Machine 4 duration 51 mins.
Operation 5 on Machine 1 duration 13 mins.
Operation 6 on Machine 0 duration 11 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 95 mins.
Operation 1 on Machine 4 duration 50 mins.
Operation 2 on Machine 5 duration 62 mins.
Operation 3 on Machine 3 duration 14 mins.
Operation 4 on Machine 1 duration 5 mins.
Operation 5 on Machine 6 duration 8 mins.
Operation 6 on Machine 0 duration 88 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 47 mins.
Operation 1 on Machine 3 duration 2 mins.
Operation 2 on Machine 0 duration 67 mins.
Operation 3 on Machine 1 duration 33 mins.
Operation 4 on Machine 6 duration 37 mins.
Operation 5 on Machine 2 duration 81 mins.
Operation 6 on Machine 5 duration 77 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 49 mins.
Operation 1 on Machine 1 duration 68 mins.
Operation 2 on Machine 2 duration 91 mins.
Operation 3 on Machine 0 duration 64 mins.
Operation 4 on Machine 3 duration 9 mins.
Operation 5 on Machine 6 duration 52 mins.
Operation 6 on Machine 4 duration 92 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 28 mins.
Operation 1 on Machine 3 duration 13 mins.
Operation 2 on Machine 4 duration 47 mins.
Operation 3 on Machine 6 duration 69 mins.
Operation 4 on Machine 0 duration 77 mins.
Operation 5 on Machine 2 duration 48 mins.
Operation 6 on Machine 1 duration 34 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 47 mins.
Operation 1 on Machine 5 duration 14 mins.
Operation 2 on Machine 1 duration 76 mins.
Operation 3 on Machine 6 duration 89 mins.
Operation 4 on Machine 3 duration 37 mins.
Operation 5 on Machine 0 duration 67 mins.
Operation 6 on Machine 4 duration 6 mins.
| Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 15 mins.
Job 5 Operation 2 duration 67 mins.
Job 6 Operation 3 duration 64 mins.
Job 7 Operation 4 duration 77 mins.
Job 0 Operation 5 duration 86 mins.
Job 2 Operation 5 duration 47 mins.
Job 8 Operation 5 duration 67 mins.
Job 3 Operation 6 duration 11 mins.
Job 4 Operation 6 duration 88 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 15 mins.
Job 1 Operation 0 duration 70 mins.
Job 6 Operation 1 duration 68 mins.
Job 8 Operation 2 duration 76 mins.
Job 5 Operation 3 duration 33 mins.
Job 2 Operation 4 duration 79 mins.
Job 4 Operation 4 duration 5 mins.
Job 3 Operation 5 duration 13 mins.
Job 7 Operation 6 duration 34 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 34 mins.
Job 4 Operation 0 duration 95 mins.
Job 8 Operation 0 duration 47 mins.
Job 3 Operation 1 duration 11 mins.
Job 1 Operation 2 duration 40 mins.
Job 6 Operation 2 duration 91 mins.
Job 5 Operation 5 duration 81 mins.
Job 7 Operation 5 duration 48 mins.
Job 0 Operation 6 duration 29 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 89 mins.
Job 2 Operation 1 duration 3 mins.
Job 5 Operation 1 duration 2 mins.
Job 7 Operation 1 duration 13 mins.
Job 0 Operation 2 duration 87 mins.
Job 4 Operation 3 duration 14 mins.
Job 1 Operation 4 duration 59 mins.
Job 6 Operation 4 duration 9 mins.
Job 8 Operation 4 duration 37 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 47 mins.
Job 4 Operation 1 duration 50 mins.
Job 7 Operation 2 duration 47 mins.
Job 0 Operation 3 duration 29 mins.
Job 2 Operation 3 duration 66 mins.
Job 3 Operation 4 duration 51 mins.
Job 1 Operation 6 duration 60 mins.
Job 6 Operation 6 duration 92 mins.
Job 8 Operation 6 duration 6 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 49 mins.
Job 7 Operation 0 duration 28 mins.
Job 0 Operation 1 duration 40 mins.
Job 8 Operation 1 duration 14 mins.
Job 4 Operation 2 duration 62 mins.
Job 1 Operation 3 duration 10 mins.
Job 3 Operation 3 duration 5 mins.
Job 2 Operation 6 duration 55 mins.
Job 5 Operation 6 duration 77 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 2 duration 2 mins.
Job 3 Operation 2 duration 59 mins.
Job 7 Operation 3 duration 69 mins.
Job 8 Operation 3 duration 89 mins.
Job 0 Operation 4 duration 24 mins.
Job 5 Operation 4 duration 37 mins.
Job 1 Operation 5 duration 77 mins.
Job 4 Operation 5 duration 8 mins.
Job 6 Operation 5 duration 52 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 70 -> 70
Job 2 Operation 0 on Machine 2 : 0 + 34 -> 34
Job 5 Operation 0 on Machine 4 : 0 + 47 -> 47
Job 7 Operation 0 on Machine 5 : 0 + 28 -> 28
Job 7 Operation 1 on Machine 3 : 28 + 13 -> 41
Job 6 Operation 0 on Machine 5 : 28 + 49 -> 77
Job 8 Operation 0 on Machine 2 : 34 + 47 -> 81
Job 2 Operation 1 on Machine 3 : 41 + 3 -> 44
Job 2 Operation 2 on Machine 6 : 44 + 2 -> 46
Job 5 Operation 1 on Machine 3 : 47 + 2 -> 49
Job 7 Operation 2 on Machine 4 : 47 + 47 -> 94
Job 3 Operation 0 on Machine 3 : 49 + 89 -> 138
Job 1 Operation 1 on Machine 0 : 70 + 15 -> 85
Job 0 Operation 0 on Machine 1 : 70 + 15 -> 85
Job 5 Operation 2 on Machine 0 : 85 + 67 -> 152
Job 6 Operation 1 on Machine 1 : 85 + 68 -> 153
Job 1 Operation 2 on Machine 2 : 85 + 40 -> 125
Job 0 Operation 1 on Machine 5 : 85 + 40 -> 125
Job 2 Operation 3 on Machine 4 : 94 + 66 -> 160
Job 7 Operation 3 on Machine 6 : 94 + 69 -> 163
Job 1 Operation 3 on Machine 5 : 125 + 10 -> 135
Job 8 Operation 1 on Machine 5 : 135 + 14 -> 149
Job 3 Operation 1 on Machine 2 : 138 + 11 -> 149
Job 0 Operation 2 on Machine 3 : 138 + 87 -> 225
Job 5 Operation 3 on Machine 1 : 153 + 33 -> 186
Job 6 Operation 2 on Machine 2 : 153 + 91 -> 244
Job 7 Operation 4 on Machine 0 : 163 + 77 -> 240
Job 3 Operation 2 on Machine 6 : 163 + 59 -> 222
Job 8 Operation 2 on Machine 1 : 186 + 76 -> 262
Job 3 Operation 3 on Machine 5 : 222 + 5 -> 227
Job 5 Operation 4 on Machine 6 : 222 + 37 -> 259
Job 1 Operation 4 on Machine 3 : 225 + 59 -> 284
Job 0 Operation 3 on Machine 4 : 225 + 29 -> 254
Job 6 Operation 3 on Machine 0 : 244 + 64 -> 308
Job 4 Operation 0 on Machine 2 : 244 + 95 -> 339
Job 3 Operation 4 on Machine 4 : 254 + 51 -> 305
Job 0 Operation 4 on Machine 6 : 259 + 24 -> 283
Job 2 Operation 4 on Machine 1 : 262 + 79 -> 341
Job 8 Operation 3 on Machine 6 : 283 + 89 -> 372
Job 0 Operation 5 on Machine 0 : 308 + 86 -> 394
Job 6 Operation 4 on Machine 3 : 308 + 9 -> 317
Job 7 Operation 5 on Machine 2 : 339 + 48 -> 387
Job 4 Operation 1 on Machine 4 : 339 + 50 -> 389
Job 3 Operation 5 on Machine 1 : 341 + 13 -> 354
Job 8 Operation 4 on Machine 3 : 372 + 37 -> 409
Job 1 Operation 5 on Machine 6 : 372 + 77 -> 449
Job 7 Operation 6 on Machine 1 : 387 + 34 -> 421
Job 5 Operation 5 on Machine 2 : 387 + 81 -> 468
Job 4 Operation 2 on Machine 5 : 389 + 62 -> 451
Job 2 Operation 5 on Machine 0 : 394 + 47 -> 441
Job 8 Operation 5 on Machine 0 : 441 + 67 -> 508
Job 1 Operation 6 on Machine 4 : 449 + 60 -> 509
Job 6 Operation 5 on Machine 6 : 449 + 52 -> 501
Job 4 Operation 3 on Machine 3 : 451 + 14 -> 465
Job 4 Operation 4 on Machine 1 : 465 + 5 -> 470
Job 0 Operation 6 on Machine 2 : 468 + 29 -> 497
Job 5 Operation 6 on Machine 5 : 468 + 77 -> 545
Job 4 Operation 5 on Machine 6 : 501 + 8 -> 509
Job 3 Operation 6 on Machine 0 : 508 + 11 -> 519
Job 8 Operation 6 on Machine 4 : 509 + 6 -> 515
Job 6 Operation 6 on Machine 4 : 515 + 92 -> 607
Job 4 Operation 6 on Machine 0 : 519 + 88 -> 607
Job 2 Operation 6 on Machine 5 : 545 + 55 -> 600
Makespan: 607.0, as it is the maximum end completion time of Operation 6 |
10 | 7 | Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 5 mins.
Operation 1 on Machine 2 duration 13 mins.
Operation 2 on Machine 3 duration 19 mins.
Operation 3 on Machine 1 duration 15 mins.
Operation 4 on Machine 6 duration 15 mins.
Operation 5 on Machine 4 duration 9 mins.
Operation 6 on Machine 0 duration 16 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 12 mins.
Operation 1 on Machine 3 duration 3 mins.
Operation 2 on Machine 4 duration 18 mins.
Operation 3 on Machine 1 duration 14 mins.
Operation 4 on Machine 5 duration 11 mins.
Operation 5 on Machine 0 duration 7 mins.
Operation 6 on Machine 6 duration 16 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 15 mins.
Operation 1 on Machine 3 duration 12 mins.
Operation 2 on Machine 4 duration 17 mins.
Operation 3 on Machine 0 duration 18 mins.
Operation 4 on Machine 2 duration 15 mins.
Operation 5 on Machine 5 duration 1 mins.
Operation 6 on Machine 1 duration 18 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 1 mins.
Operation 1 on Machine 6 duration 12 mins.
Operation 2 on Machine 5 duration 15 mins.
Operation 3 on Machine 3 duration 14 mins.
Operation 4 on Machine 1 duration 17 mins.
Operation 5 on Machine 0 duration 3 mins.
Operation 6 on Machine 2 duration 17 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 20 mins.
Operation 1 on Machine 2 duration 13 mins.
Operation 2 on Machine 4 duration 14 mins.
Operation 3 on Machine 3 duration 10 mins.
Operation 4 on Machine 0 duration 4 mins.
Operation 5 on Machine 5 duration 3 mins.
Operation 6 on Machine 1 duration 14 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 9 mins.
Operation 1 on Machine 0 duration 1 mins.
Operation 2 on Machine 2 duration 10 mins.
Operation 3 on Machine 4 duration 13 mins.
Operation 4 on Machine 3 duration 12 mins.
Operation 5 on Machine 5 duration 14 mins.
Operation 6 on Machine 1 duration 3 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 8 mins.
Operation 1 on Machine 3 duration 5 mins.
Operation 2 on Machine 5 duration 20 mins.
Operation 3 on Machine 6 duration 2 mins.
Operation 4 on Machine 2 duration 2 mins.
Operation 5 on Machine 1 duration 15 mins.
Operation 6 on Machine 4 duration 5 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 19 mins.
Operation 1 on Machine 5 duration 14 mins.
Operation 2 on Machine 2 duration 13 mins.
Operation 3 on Machine 3 duration 16 mins.
Operation 4 on Machine 0 duration 19 mins.
Operation 5 on Machine 1 duration 8 mins.
Operation 6 on Machine 6 duration 15 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 6 mins.
Operation 1 on Machine 2 duration 8 mins.
Operation 2 on Machine 3 duration 1 mins.
Operation 3 on Machine 0 duration 6 mins.
Operation 4 on Machine 6 duration 1 mins.
Operation 5 on Machine 5 duration 13 mins.
Operation 6 on Machine 1 duration 19 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 4 mins.
Operation 1 on Machine 3 duration 15 mins.
Operation 2 on Machine 1 duration 20 mins.
Operation 3 on Machine 0 duration 8 mins.
Operation 4 on Machine 5 duration 7 mins.
Operation 5 on Machine 2 duration 16 mins.
Operation 6 on Machine 4 duration 20 mins.
| Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 8 mins.
Job 5 Operation 1 duration 1 mins.
Job 2 Operation 3 duration 18 mins.
Job 8 Operation 3 duration 6 mins.
Job 9 Operation 3 duration 8 mins.
Job 4 Operation 4 duration 4 mins.
Job 7 Operation 4 duration 19 mins.
Job 1 Operation 5 duration 7 mins.
Job 3 Operation 5 duration 3 mins.
Job 0 Operation 6 duration 16 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 2 duration 20 mins.
Job 0 Operation 3 duration 15 mins.
Job 1 Operation 3 duration 14 mins.
Job 3 Operation 4 duration 17 mins.
Job 6 Operation 5 duration 15 mins.
Job 7 Operation 5 duration 8 mins.
Job 2 Operation 6 duration 18 mins.
Job 4 Operation 6 duration 14 mins.
Job 5 Operation 6 duration 3 mins.
Job 8 Operation 6 duration 19 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 12 mins.
Job 0 Operation 1 duration 13 mins.
Job 4 Operation 1 duration 13 mins.
Job 8 Operation 1 duration 8 mins.
Job 5 Operation 2 duration 10 mins.
Job 7 Operation 2 duration 13 mins.
Job 2 Operation 4 duration 15 mins.
Job 6 Operation 4 duration 2 mins.
Job 9 Operation 5 duration 16 mins.
Job 3 Operation 6 duration 17 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 3 mins.
Job 2 Operation 1 duration 12 mins.
Job 6 Operation 1 duration 5 mins.
Job 9 Operation 1 duration 15 mins.
Job 0 Operation 2 duration 19 mins.
Job 8 Operation 2 duration 1 mins.
Job 3 Operation 3 duration 14 mins.
Job 4 Operation 3 duration 10 mins.
Job 7 Operation 3 duration 16 mins.
Job 5 Operation 4 duration 12 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 1 mins.
Job 7 Operation 0 duration 19 mins.
Job 8 Operation 0 duration 6 mins.
Job 1 Operation 2 duration 18 mins.
Job 2 Operation 2 duration 17 mins.
Job 4 Operation 2 duration 14 mins.
Job 5 Operation 3 duration 13 mins.
Job 0 Operation 5 duration 9 mins.
Job 6 Operation 6 duration 5 mins.
Job 9 Operation 6 duration 20 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 5 mins.
Job 7 Operation 1 duration 14 mins.
Job 3 Operation 2 duration 15 mins.
Job 6 Operation 2 duration 20 mins.
Job 1 Operation 4 duration 11 mins.
Job 9 Operation 4 duration 7 mins.
Job 2 Operation 5 duration 1 mins.
Job 4 Operation 5 duration 3 mins.
Job 5 Operation 5 duration 14 mins.
Job 8 Operation 5 duration 13 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 15 mins.
Job 4 Operation 0 duration 20 mins.
Job 5 Operation 0 duration 9 mins.
Job 9 Operation 0 duration 4 mins.
Job 3 Operation 1 duration 12 mins.
Job 6 Operation 3 duration 2 mins.
Job 0 Operation 4 duration 15 mins.
Job 8 Operation 4 duration 1 mins.
Job 1 Operation 6 duration 16 mins.
Job 7 Operation 6 duration 15 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 8 -> 8
Job 3 Operation 0 on Machine 4 : 0 + 1 -> 1
Job 0 Operation 0 on Machine 5 : 0 + 5 -> 5
Job 9 Operation 0 on Machine 6 : 0 + 4 -> 4
Job 8 Operation 0 on Machine 4 : 1 + 6 -> 7
Job 9 Operation 1 on Machine 3 : 4 + 15 -> 19
Job 3 Operation 1 on Machine 6 : 4 + 12 -> 16
Job 0 Operation 1 on Machine 2 : 5 + 13 -> 18
Job 7 Operation 0 on Machine 4 : 7 + 19 -> 26
Job 3 Operation 2 on Machine 5 : 16 + 15 -> 31
Job 5 Operation 0 on Machine 6 : 16 + 9 -> 25
Job 8 Operation 1 on Machine 2 : 18 + 8 -> 26
Job 9 Operation 2 on Machine 1 : 19 + 20 -> 39
Job 0 Operation 2 on Machine 3 : 19 + 19 -> 38
Job 5 Operation 1 on Machine 0 : 25 + 1 -> 26
Job 4 Operation 0 on Machine 6 : 25 + 20 -> 45
Job 5 Operation 2 on Machine 2 : 26 + 10 -> 36
Job 7 Operation 1 on Machine 5 : 31 + 14 -> 45
Job 1 Operation 0 on Machine 2 : 36 + 12 -> 48
Job 5 Operation 3 on Machine 4 : 36 + 13 -> 49
Job 8 Operation 2 on Machine 3 : 38 + 1 -> 39
Job 8 Operation 3 on Machine 0 : 39 + 6 -> 45
Job 0 Operation 3 on Machine 1 : 39 + 15 -> 54
Job 3 Operation 3 on Machine 3 : 39 + 14 -> 53
Job 9 Operation 3 on Machine 0 : 45 + 8 -> 53
Job 8 Operation 4 on Machine 6 : 45 + 1 -> 46
Job 8 Operation 5 on Machine 5 : 46 + 13 -> 59
Job 2 Operation 0 on Machine 6 : 46 + 15 -> 61
Job 7 Operation 2 on Machine 2 : 48 + 13 -> 61
Job 6 Operation 1 on Machine 3 : 53 + 5 -> 58
Job 3 Operation 4 on Machine 1 : 54 + 17 -> 71
Job 1 Operation 1 on Machine 3 : 58 + 3 -> 61
Job 6 Operation 2 on Machine 5 : 59 + 20 -> 79
Job 4 Operation 1 on Machine 2 : 61 + 13 -> 74
Job 7 Operation 3 on Machine 3 : 61 + 16 -> 77
Job 1 Operation 2 on Machine 4 : 61 + 18 -> 79
Job 0 Operation 4 on Machine 6 : 61 + 15 -> 76
Job 3 Operation 5 on Machine 0 : 71 + 3 -> 74
Job 8 Operation 6 on Machine 1 : 71 + 19 -> 90
Job 7 Operation 4 on Machine 0 : 77 + 19 -> 96
Job 2 Operation 1 on Machine 3 : 77 + 12 -> 89
Job 4 Operation 2 on Machine 4 : 79 + 14 -> 93
Job 9 Operation 4 on Machine 5 : 79 + 7 -> 86
Job 6 Operation 3 on Machine 6 : 79 + 2 -> 81
Job 6 Operation 4 on Machine 2 : 81 + 2 -> 83
Job 3 Operation 6 on Machine 2 : 83 + 17 -> 100
Job 1 Operation 3 on Machine 1 : 90 + 14 -> 104
Job 4 Operation 3 on Machine 3 : 93 + 10 -> 103
Job 2 Operation 2 on Machine 4 : 93 + 17 -> 110
Job 9 Operation 5 on Machine 2 : 100 + 16 -> 116
Job 4 Operation 4 on Machine 0 : 103 + 4 -> 107
Job 5 Operation 4 on Machine 3 : 103 + 12 -> 115
Job 7 Operation 5 on Machine 1 : 104 + 8 -> 112
Job 4 Operation 5 on Machine 5 : 107 + 3 -> 110
Job 2 Operation 3 on Machine 0 : 110 + 18 -> 128
Job 1 Operation 4 on Machine 5 : 110 + 11 -> 121
Job 4 Operation 6 on Machine 1 : 112 + 14 -> 126
Job 7 Operation 6 on Machine 6 : 112 + 15 -> 127
Job 9 Operation 6 on Machine 4 : 116 + 20 -> 136
Job 5 Operation 5 on Machine 5 : 121 + 14 -> 135
Job 6 Operation 5 on Machine 1 : 126 + 15 -> 141
Job 1 Operation 5 on Machine 0 : 128 + 7 -> 135
Job 2 Operation 4 on Machine 2 : 128 + 15 -> 143
Job 1 Operation 6 on Machine 6 : 135 + 16 -> 151
Job 0 Operation 5 on Machine 4 : 136 + 9 -> 145
Job 5 Operation 6 on Machine 1 : 141 + 3 -> 144
Job 2 Operation 5 on Machine 5 : 143 + 1 -> 144
Job 2 Operation 6 on Machine 1 : 144 + 18 -> 162
Job 0 Operation 6 on Machine 0 : 145 + 16 -> 161
Job 6 Operation 6 on Machine 4 : 145 + 5 -> 150
Makespan: 162.0, as it is the maximum end completion time of Operation 6 |
9 | 7 | Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 111 mins.
Operation 1 on Machine 6 duration 231 mins.
Operation 2 on Machine 2 duration 200 mins.
Operation 3 on Machine 0 duration 35 mins.
Operation 4 on Machine 5 duration 67 mins.
Operation 5 on Machine 1 duration 53 mins.
Operation 6 on Machine 4 duration 274 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 207 mins.
Operation 1 on Machine 0 duration 22 mins.
Operation 2 on Machine 5 duration 202 mins.
Operation 3 on Machine 3 duration 62 mins.
Operation 4 on Machine 2 duration 208 mins.
Operation 5 on Machine 1 duration 30 mins.
Operation 6 on Machine 6 duration 260 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 128 mins.
Operation 1 on Machine 6 duration 168 mins.
Operation 2 on Machine 4 duration 196 mins.
Operation 3 on Machine 1 duration 247 mins.
Operation 4 on Machine 2 duration 220 mins.
Operation 5 on Machine 0 duration 48 mins.
Operation 6 on Machine 3 duration 183 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 62 mins.
Operation 1 on Machine 0 duration 26 mins.
Operation 2 on Machine 1 duration 203 mins.
Operation 3 on Machine 6 duration 241 mins.
Operation 4 on Machine 2 duration 279 mins.
Operation 5 on Machine 3 duration 70 mins.
Operation 6 on Machine 4 duration 114 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 216 mins.
Operation 1 on Machine 2 duration 155 mins.
Operation 2 on Machine 3 duration 37 mins.
Operation 3 on Machine 0 duration 222 mins.
Operation 4 on Machine 4 duration 194 mins.
Operation 5 on Machine 5 duration 97 mins.
Operation 6 on Machine 1 duration 263 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 47 mins.
Operation 1 on Machine 2 duration 255 mins.
Operation 2 on Machine 4 duration 177 mins.
Operation 3 on Machine 1 duration 268 mins.
Operation 4 on Machine 6 duration 121 mins.
Operation 5 on Machine 5 duration 32 mins.
Operation 6 on Machine 3 duration 284 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 23 mins.
Operation 1 on Machine 0 duration 249 mins.
Operation 2 on Machine 1 duration 125 mins.
Operation 3 on Machine 2 duration 32 mins.
Operation 4 on Machine 5 duration 293 mins.
Operation 5 on Machine 3 duration 116 mins.
Operation 6 on Machine 6 duration 180 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 174 mins.
Operation 1 on Machine 1 duration 293 mins.
Operation 2 on Machine 0 duration 225 mins.
Operation 3 on Machine 2 duration 26 mins.
Operation 4 on Machine 6 duration 144 mins.
Operation 5 on Machine 4 duration 163 mins.
Operation 6 on Machine 5 duration 117 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 48 mins.
Operation 1 on Machine 4 duration 176 mins.
Operation 2 on Machine 3 duration 255 mins.
Operation 3 on Machine 5 duration 34 mins.
Operation 4 on Machine 2 duration 238 mins.
Operation 5 on Machine 6 duration 249 mins.
Operation 6 on Machine 1 duration 229 mins.
| Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 47 mins.
Job 8 Operation 0 duration 48 mins.
Job 1 Operation 1 duration 22 mins.
Job 3 Operation 1 duration 26 mins.
Job 6 Operation 1 duration 249 mins.
Job 7 Operation 2 duration 225 mins.
Job 0 Operation 3 duration 35 mins.
Job 4 Operation 3 duration 222 mins.
Job 2 Operation 5 duration 48 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 1 duration 293 mins.
Job 3 Operation 2 duration 203 mins.
Job 6 Operation 2 duration 125 mins.
Job 2 Operation 3 duration 247 mins.
Job 5 Operation 3 duration 268 mins.
Job 0 Operation 5 duration 53 mins.
Job 1 Operation 5 duration 30 mins.
Job 4 Operation 6 duration 263 mins.
Job 8 Operation 6 duration 229 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 1 duration 155 mins.
Job 5 Operation 1 duration 255 mins.
Job 0 Operation 2 duration 200 mins.
Job 6 Operation 3 duration 32 mins.
Job 7 Operation 3 duration 26 mins.
Job 1 Operation 4 duration 208 mins.
Job 2 Operation 4 duration 220 mins.
Job 3 Operation 4 duration 279 mins.
Job 8 Operation 4 duration 238 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 111 mins.
Job 7 Operation 0 duration 174 mins.
Job 4 Operation 2 duration 37 mins.
Job 8 Operation 2 duration 255 mins.
Job 1 Operation 3 duration 62 mins.
Job 3 Operation 5 duration 70 mins.
Job 6 Operation 5 duration 116 mins.
Job 2 Operation 6 duration 183 mins.
Job 5 Operation 6 duration 284 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 207 mins.
Job 6 Operation 0 duration 23 mins.
Job 8 Operation 1 duration 176 mins.
Job 2 Operation 2 duration 196 mins.
Job 5 Operation 2 duration 177 mins.
Job 4 Operation 4 duration 194 mins.
Job 7 Operation 5 duration 163 mins.
Job 0 Operation 6 duration 274 mins.
Job 3 Operation 6 duration 114 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 128 mins.
Job 3 Operation 0 duration 62 mins.
Job 1 Operation 2 duration 202 mins.
Job 8 Operation 3 duration 34 mins.
Job 0 Operation 4 duration 67 mins.
Job 6 Operation 4 duration 293 mins.
Job 4 Operation 5 duration 97 mins.
Job 5 Operation 5 duration 32 mins.
Job 7 Operation 6 duration 117 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 0 duration 216 mins.
Job 0 Operation 1 duration 231 mins.
Job 2 Operation 1 duration 168 mins.
Job 3 Operation 3 duration 241 mins.
Job 5 Operation 4 duration 121 mins.
Job 7 Operation 4 duration 144 mins.
Job 8 Operation 5 duration 249 mins.
Job 1 Operation 6 duration 260 mins.
Job 6 Operation 6 duration 180 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 47 -> 47
Job 0 Operation 0 on Machine 3 : 0 + 111 -> 111
Job 6 Operation 0 on Machine 4 : 0 + 23 -> 23
Job 3 Operation 0 on Machine 5 : 0 + 62 -> 62
Job 4 Operation 0 on Machine 6 : 0 + 216 -> 216
Job 1 Operation 0 on Machine 4 : 23 + 207 -> 230
Job 5 Operation 1 on Machine 2 : 47 + 255 -> 302
Job 3 Operation 1 on Machine 0 : 62 + 26 -> 88
Job 2 Operation 0 on Machine 5 : 62 + 128 -> 190
Job 8 Operation 0 on Machine 0 : 88 + 48 -> 136
Job 3 Operation 2 on Machine 1 : 88 + 203 -> 291
Job 7 Operation 0 on Machine 3 : 111 + 174 -> 285
Job 0 Operation 1 on Machine 6 : 216 + 231 -> 447
Job 1 Operation 1 on Machine 0 : 230 + 22 -> 252
Job 8 Operation 1 on Machine 4 : 230 + 176 -> 406
Job 6 Operation 1 on Machine 0 : 252 + 249 -> 501
Job 1 Operation 2 on Machine 5 : 252 + 202 -> 454
Job 7 Operation 1 on Machine 1 : 291 + 293 -> 584
Job 4 Operation 1 on Machine 2 : 302 + 155 -> 457
Job 5 Operation 2 on Machine 4 : 406 + 177 -> 583
Job 3 Operation 3 on Machine 6 : 447 + 241 -> 688
Job 1 Operation 3 on Machine 3 : 454 + 62 -> 516
Job 0 Operation 2 on Machine 2 : 457 + 200 -> 657
Job 4 Operation 2 on Machine 3 : 516 + 37 -> 553
Job 8 Operation 2 on Machine 3 : 553 + 255 -> 808
Job 7 Operation 2 on Machine 0 : 584 + 225 -> 809
Job 5 Operation 3 on Machine 1 : 584 + 268 -> 852
Job 1 Operation 4 on Machine 2 : 657 + 208 -> 865
Job 2 Operation 1 on Machine 6 : 688 + 168 -> 856
Job 8 Operation 3 on Machine 5 : 808 + 34 -> 842
Job 0 Operation 3 on Machine 0 : 809 + 35 -> 844
Job 4 Operation 3 on Machine 0 : 844 + 222 -> 1066
Job 0 Operation 4 on Machine 5 : 844 + 67 -> 911
Job 2 Operation 2 on Machine 4 : 856 + 196 -> 1052
Job 5 Operation 4 on Machine 6 : 856 + 121 -> 977
Job 1 Operation 5 on Machine 1 : 865 + 30 -> 895
Job 7 Operation 3 on Machine 2 : 865 + 26 -> 891
Job 8 Operation 4 on Machine 2 : 891 + 238 -> 1129
Job 6 Operation 2 on Machine 1 : 895 + 125 -> 1020
Job 5 Operation 5 on Machine 5 : 977 + 32 -> 1009
Job 7 Operation 4 on Machine 6 : 977 + 144 -> 1121
Job 5 Operation 6 on Machine 3 : 1009 + 284 -> 1293
Job 2 Operation 3 on Machine 1 : 1052 + 247 -> 1299
Job 4 Operation 4 on Machine 4 : 1066 + 194 -> 1260
Job 6 Operation 3 on Machine 2 : 1129 + 32 -> 1161
Job 8 Operation 5 on Machine 6 : 1129 + 249 -> 1378
Job 3 Operation 4 on Machine 2 : 1161 + 279 -> 1440
Job 6 Operation 4 on Machine 5 : 1161 + 293 -> 1454
Job 7 Operation 5 on Machine 4 : 1260 + 163 -> 1423
Job 0 Operation 5 on Machine 1 : 1299 + 53 -> 1352
Job 8 Operation 6 on Machine 1 : 1378 + 229 -> 1607
Job 1 Operation 6 on Machine 6 : 1378 + 260 -> 1638
Job 0 Operation 6 on Machine 4 : 1423 + 274 -> 1697
Job 2 Operation 4 on Machine 2 : 1440 + 220 -> 1660
Job 6 Operation 5 on Machine 3 : 1454 + 116 -> 1570
Job 4 Operation 5 on Machine 5 : 1454 + 97 -> 1551
Job 7 Operation 6 on Machine 5 : 1551 + 117 -> 1668
Job 3 Operation 5 on Machine 3 : 1570 + 70 -> 1640
Job 4 Operation 6 on Machine 1 : 1607 + 263 -> 1870
Job 6 Operation 6 on Machine 6 : 1638 + 180 -> 1818
Job 2 Operation 5 on Machine 0 : 1660 + 48 -> 1708
Job 3 Operation 6 on Machine 4 : 1697 + 114 -> 1811
Job 2 Operation 6 on Machine 3 : 1708 + 183 -> 1891
Makespan: 1891.0, as it is the maximum end completion time of Operation 6 |