Hugging Face's logo

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schedule

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num_jobs
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20
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2
20
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516
19.9k
prompt_machines_first
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496
17.2k
output
stringlengths
267
22.1k
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 2 duration 10 mins. Operation 1 on Machine 4 duration 17 mins. Operation 2 on Machine 1 duration 18 mins. Operation 3 on Machine 0 duration 20 mins. Operation 4 on Machine 5 duration 23 mins. Operation 5 on Machine 3 duration 7 mins. Job 1 consists of the following Operations: Operation 0 on Machine 5 duration 24 mins. Operation 1 on Machine 4 duration 13 mins. Operation 2 on Machine 0 duration 40 mins. Operation 3 on Machine 3 duration 14 mins. Operation 4 on Machine 1 duration 37 mins. Operation 5 on Machine 2 duration 10 mins. Job 2 consists of the following Operations: Operation 0 on Machine 1 duration 36 mins. Operation 1 on Machine 5 duration 14 mins. Operation 2 on Machine 2 duration 1 mins. Operation 3 on Machine 3 duration 3 mins. Operation 4 on Machine 0 duration 25 mins. Operation 5 on Machine 4 duration 15 mins. Job 3 consists of the following Operations: Operation 0 on Machine 1 duration 15 mins. Operation 1 on Machine 5 duration 28 mins. Operation 2 on Machine 0 duration 40 mins. Operation 3 on Machine 3 duration 4 mins. Operation 4 on Machine 4 duration 33 mins. Operation 5 on Machine 2 duration 39 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 1 mins. Operation 1 on Machine 1 duration 33 mins. Operation 2 on Machine 2 duration 7 mins. Operation 3 on Machine 4 duration 35 mins. Operation 4 on Machine 5 duration 22 mins. Operation 5 on Machine 3 duration 6 mins. Job 5 consists of the following Operations: Operation 0 on Machine 1 duration 39 mins. Operation 1 on Machine 5 duration 1 mins. Operation 2 on Machine 4 duration 37 mins. Operation 3 on Machine 3 duration 40 mins. Operation 4 on Machine 0 duration 13 mins. Operation 5 on Machine 2 duration 6 mins. Job 6 consists of the following Operations: Operation 0 on Machine 1 duration 25 mins. Operation 1 on Machine 5 duration 40 mins. Operation 2 on Machine 0 duration 17 mins. Operation 3 on Machine 2 duration 34 mins. Operation 4 on Machine 3 duration 10 mins. Operation 5 on Machine 4 duration 1 mins. Job 7 consists of the following Operations: Operation 0 on Machine 5 duration 12 mins. Operation 1 on Machine 4 duration 2 mins. Operation 2 on Machine 3 duration 35 mins. Operation 3 on Machine 0 duration 16 mins. Operation 4 on Machine 1 duration 23 mins. Operation 5 on Machine 2 duration 34 mins. Job 8 consists of the following Operations: Operation 0 on Machine 5 duration 23 mins. Operation 1 on Machine 1 duration 17 mins. Operation 2 on Machine 2 duration 8 mins. Operation 3 on Machine 0 duration 16 mins. Operation 4 on Machine 3 duration 11 mins. Operation 5 on Machine 4 duration 10 mins. Job 9 consists of the following Operations: Operation 0 on Machine 1 duration 31 mins. Operation 1 on Machine 0 duration 20 mins. Operation 2 on Machine 2 duration 1 mins. Operation 3 on Machine 3 duration 4 mins. Operation 4 on Machine 4 duration 10 mins. Operation 5 on Machine 5 duration 31 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 1 mins. Job 9 Operation 1 duration 20 mins. Job 1 Operation 2 duration 40 mins. Job 3 Operation 2 duration 40 mins. Job 6 Operation 2 duration 17 mins. Job 0 Operation 3 duration 20 mins. Job 7 Operation 3 duration 16 mins. Job 8 Operation 3 duration 16 mins. Job 2 Operation 4 duration 25 mins. Job 5 Operation 4 duration 13 mins. Machine 1 is used for the following Operations: Job 2 Operation 0 duration 36 mins. Job 3 Operation 0 duration 15 mins. Job 5 Operation 0 duration 39 mins. Job 6 Operation 0 duration 25 mins. Job 9 Operation 0 duration 31 mins. Job 4 Operation 1 duration 33 mins. Job 8 Operation 1 duration 17 mins. Job 0 Operation 2 duration 18 mins. Job 1 Operation 4 duration 37 mins. Job 7 Operation 4 duration 23 mins. Machine 2 is used for the following Operations: Job 0 Operation 0 duration 10 mins. Job 2 Operation 2 duration 1 mins. Job 4 Operation 2 duration 7 mins. Job 8 Operation 2 duration 8 mins. Job 9 Operation 2 duration 1 mins. Job 6 Operation 3 duration 34 mins. Job 1 Operation 5 duration 10 mins. Job 3 Operation 5 duration 39 mins. Job 5 Operation 5 duration 6 mins. Job 7 Operation 5 duration 34 mins. Machine 3 is used for the following Operations: Job 7 Operation 2 duration 35 mins. Job 1 Operation 3 duration 14 mins. Job 2 Operation 3 duration 3 mins. Job 3 Operation 3 duration 4 mins. Job 5 Operation 3 duration 40 mins. Job 9 Operation 3 duration 4 mins. Job 6 Operation 4 duration 10 mins. Job 8 Operation 4 duration 11 mins. Job 0 Operation 5 duration 7 mins. Job 4 Operation 5 duration 6 mins. Machine 4 is used for the following Operations: Job 0 Operation 1 duration 17 mins. Job 1 Operation 1 duration 13 mins. Job 7 Operation 1 duration 2 mins. Job 5 Operation 2 duration 37 mins. Job 4 Operation 3 duration 35 mins. Job 3 Operation 4 duration 33 mins. Job 9 Operation 4 duration 10 mins. Job 2 Operation 5 duration 15 mins. Job 6 Operation 5 duration 1 mins. Job 8 Operation 5 duration 10 mins. Machine 5 is used for the following Operations: Job 1 Operation 0 duration 24 mins. Job 7 Operation 0 duration 12 mins. Job 8 Operation 0 duration 23 mins. Job 2 Operation 1 duration 14 mins. Job 3 Operation 1 duration 28 mins. Job 5 Operation 1 duration 1 mins. Job 6 Operation 1 duration 40 mins. Job 0 Operation 4 duration 23 mins. Job 4 Operation 4 duration 22 mins. Job 9 Operation 5 duration 31 mins.
Solution: Job 4 Operation 0 on Machine 0 : 0 + 1 -> 1 Job 6 Operation 0 on Machine 1 : 0 + 25 -> 25 Job 0 Operation 0 on Machine 2 : 0 + 10 -> 10 Job 1 Operation 0 on Machine 5 : 0 + 24 -> 24 Job 0 Operation 1 on Machine 4 : 10 + 17 -> 27 Job 5 Operation 0 on Machine 1 : 25 + 39 -> 64 Job 6 Operation 1 on Machine 5 : 25 + 40 -> 65 Job 1 Operation 1 on Machine 4 : 27 + 13 -> 40 Job 1 Operation 2 on Machine 0 : 40 + 40 -> 80 Job 3 Operation 0 on Machine 1 : 64 + 15 -> 79 Job 5 Operation 1 on Machine 5 : 65 + 1 -> 66 Job 5 Operation 2 on Machine 4 : 66 + 37 -> 103 Job 7 Operation 0 on Machine 5 : 66 + 12 -> 78 Job 9 Operation 0 on Machine 1 : 79 + 31 -> 110 Job 3 Operation 1 on Machine 5 : 79 + 28 -> 107 Job 6 Operation 2 on Machine 0 : 80 + 17 -> 97 Job 6 Operation 3 on Machine 2 : 97 + 34 -> 131 Job 5 Operation 3 on Machine 3 : 103 + 40 -> 143 Job 7 Operation 1 on Machine 4 : 103 + 2 -> 105 Job 3 Operation 2 on Machine 0 : 107 + 40 -> 147 Job 8 Operation 0 on Machine 5 : 107 + 23 -> 130 Job 2 Operation 0 on Machine 1 : 110 + 36 -> 146 Job 4 Operation 1 on Machine 1 : 146 + 33 -> 179 Job 2 Operation 1 on Machine 5 : 146 + 14 -> 160 Job 5 Operation 4 on Machine 0 : 147 + 13 -> 160 Job 3 Operation 3 on Machine 3 : 147 + 4 -> 151 Job 7 Operation 2 on Machine 3 : 151 + 35 -> 186 Job 3 Operation 4 on Machine 4 : 151 + 33 -> 184 Job 9 Operation 1 on Machine 0 : 160 + 20 -> 180 Job 5 Operation 5 on Machine 2 : 160 + 6 -> 166 Job 0 Operation 2 on Machine 1 : 179 + 18 -> 197 Job 9 Operation 2 on Machine 2 : 180 + 1 -> 181 Job 4 Operation 2 on Machine 2 : 181 + 7 -> 188 Job 7 Operation 3 on Machine 0 : 186 + 16 -> 202 Job 9 Operation 3 on Machine 3 : 186 + 4 -> 190 Job 2 Operation 2 on Machine 2 : 188 + 1 -> 189 Job 3 Operation 5 on Machine 2 : 189 + 39 -> 228 Job 6 Operation 4 on Machine 3 : 190 + 10 -> 200 Job 9 Operation 4 on Machine 4 : 190 + 10 -> 200 Job 8 Operation 1 on Machine 1 : 197 + 17 -> 214 Job 2 Operation 3 on Machine 3 : 200 + 3 -> 203 Job 4 Operation 3 on Machine 4 : 200 + 35 -> 235 Job 9 Operation 5 on Machine 5 : 200 + 31 -> 231 Job 0 Operation 3 on Machine 0 : 202 + 20 -> 222 Job 1 Operation 3 on Machine 3 : 203 + 14 -> 217 Job 7 Operation 4 on Machine 1 : 214 + 23 -> 237 Job 2 Operation 4 on Machine 0 : 222 + 25 -> 247 Job 8 Operation 2 on Machine 2 : 228 + 8 -> 236 Job 0 Operation 4 on Machine 5 : 231 + 23 -> 254 Job 6 Operation 5 on Machine 4 : 235 + 1 -> 236 Job 1 Operation 4 on Machine 1 : 237 + 37 -> 274 Job 7 Operation 5 on Machine 2 : 237 + 34 -> 271 Job 8 Operation 3 on Machine 0 : 247 + 16 -> 263 Job 2 Operation 5 on Machine 4 : 247 + 15 -> 262 Job 0 Operation 5 on Machine 3 : 254 + 7 -> 261 Job 4 Operation 4 on Machine 5 : 254 + 22 -> 276 Job 8 Operation 4 on Machine 3 : 263 + 11 -> 274 Job 1 Operation 5 on Machine 2 : 274 + 10 -> 284 Job 8 Operation 5 on Machine 4 : 274 + 10 -> 284 Job 4 Operation 5 on Machine 3 : 276 + 6 -> 282 Makespan: 284.0, as it is the maximum end completion time of Operation 5
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 0 duration 122 mins. Operation 1 on Machine 1 duration 59 mins. Operation 2 on Machine 3 duration 112 mins. Operation 3 on Machine 2 duration 22 mins. Job 1 consists of the following Operations: Operation 0 on Machine 1 duration 110 mins. Operation 1 on Machine 3 duration 56 mins. Operation 2 on Machine 2 duration 63 mins. Operation 3 on Machine 0 duration 3 mins. Job 2 consists of the following Operations: Operation 0 on Machine 3 duration 130 mins. Operation 1 on Machine 2 duration 105 mins. Operation 2 on Machine 0 duration 32 mins. Operation 3 on Machine 1 duration 68 mins. Job 3 consists of the following Operations: Operation 0 on Machine 2 duration 87 mins. Operation 1 on Machine 0 duration 28 mins. Operation 2 on Machine 1 duration 115 mins. Operation 3 on Machine 3 duration 131 mins. Job 4 consists of the following Operations: Operation 0 on Machine 2 duration 149 mins. Operation 1 on Machine 3 duration 129 mins. Operation 2 on Machine 1 duration 119 mins. Operation 3 on Machine 0 duration 15 mins. Job 5 consists of the following Operations: Operation 0 on Machine 1 duration 32 mins. Operation 1 on Machine 0 duration 142 mins. Operation 2 on Machine 2 duration 101 mins. Operation 3 on Machine 3 duration 15 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 0 Operation 0 duration 122 mins. Job 3 Operation 1 duration 28 mins. Job 5 Operation 1 duration 142 mins. Job 2 Operation 2 duration 32 mins. Job 1 Operation 3 duration 3 mins. Job 4 Operation 3 duration 15 mins. Machine 1 is used for the following Operations: Job 1 Operation 0 duration 110 mins. Job 5 Operation 0 duration 32 mins. Job 0 Operation 1 duration 59 mins. Job 3 Operation 2 duration 115 mins. Job 4 Operation 2 duration 119 mins. Job 2 Operation 3 duration 68 mins. Machine 2 is used for the following Operations: Job 3 Operation 0 duration 87 mins. Job 4 Operation 0 duration 149 mins. Job 2 Operation 1 duration 105 mins. Job 1 Operation 2 duration 63 mins. Job 5 Operation 2 duration 101 mins. Job 0 Operation 3 duration 22 mins. Machine 3 is used for the following Operations: Job 2 Operation 0 duration 130 mins. Job 1 Operation 1 duration 56 mins. Job 4 Operation 1 duration 129 mins. Job 0 Operation 2 duration 112 mins. Job 3 Operation 3 duration 131 mins. Job 5 Operation 3 duration 15 mins.
Solution: Job 0 Operation 0 on Machine 0 : 0 + 122 -> 122 Job 1 Operation 0 on Machine 1 : 0 + 110 -> 110 Job 4 Operation 0 on Machine 2 : 0 + 149 -> 149 Job 2 Operation 0 on Machine 3 : 0 + 130 -> 130 Job 0 Operation 1 on Machine 1 : 122 + 59 -> 181 Job 1 Operation 1 on Machine 3 : 130 + 56 -> 186 Job 3 Operation 0 on Machine 2 : 149 + 87 -> 236 Job 5 Operation 0 on Machine 1 : 181 + 32 -> 213 Job 4 Operation 1 on Machine 3 : 186 + 129 -> 315 Job 3 Operation 1 on Machine 0 : 236 + 28 -> 264 Job 1 Operation 2 on Machine 2 : 236 + 63 -> 299 Job 3 Operation 2 on Machine 1 : 264 + 115 -> 379 Job 1 Operation 3 on Machine 0 : 299 + 3 -> 302 Job 2 Operation 1 on Machine 2 : 299 + 105 -> 404 Job 5 Operation 1 on Machine 0 : 302 + 142 -> 444 Job 0 Operation 2 on Machine 3 : 315 + 112 -> 427 Job 4 Operation 2 on Machine 1 : 379 + 119 -> 498 Job 0 Operation 3 on Machine 2 : 427 + 22 -> 449 Job 3 Operation 3 on Machine 3 : 427 + 131 -> 558 Job 2 Operation 2 on Machine 0 : 444 + 32 -> 476 Job 5 Operation 2 on Machine 2 : 449 + 101 -> 550 Job 4 Operation 3 on Machine 0 : 498 + 15 -> 513 Job 2 Operation 3 on Machine 1 : 498 + 68 -> 566 Job 5 Operation 3 on Machine 3 : 558 + 15 -> 573 Makespan: 573.0, as it is the maximum end completion time of Operation 3
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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 148 mins. Operation 1 on Machine 0 duration 394 mins. Operation 2 on Machine 3 duration 213 mins. Operation 3 on Machine 2 duration 329 mins. Operation 4 on Machine 1 duration 45 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 339 mins. Operation 1 on Machine 1 duration 219 mins. Operation 2 on Machine 4 duration 343 mins. Operation 3 on Machine 2 duration 122 mins. Operation 4 on Machine 3 duration 305 mins. Job 2 consists of the following Operations: Operation 0 on Machine 4 duration 144 mins. Operation 1 on Machine 1 duration 446 mins. Operation 2 on Machine 3 duration 166 mins. Operation 3 on Machine 0 duration 2 mins. Operation 4 on Machine 2 duration 29 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 424 mins. Operation 1 on Machine 4 duration 231 mins. Operation 2 on Machine 1 duration 363 mins. Operation 3 on Machine 2 duration 41 mins. Operation 4 on Machine 3 duration 351 mins. Job 4 consists of the following Operations: Operation 0 on Machine 2 duration 28 mins. Operation 1 on Machine 3 duration 304 mins. Operation 2 on Machine 1 duration 80 mins. Operation 3 on Machine 4 duration 239 mins. Operation 4 on Machine 0 duration 60 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 434 mins. Operation 1 on Machine 4 duration 20 mins. Operation 2 on Machine 3 duration 33 mins. Operation 3 on Machine 2 duration 345 mins. Operation 4 on Machine 1 duration 319 mins. Job 6 consists of the following Operations: Operation 0 on Machine 1 duration 92 mins. Operation 1 on Machine 0 duration 472 mins. Operation 2 on Machine 2 duration 375 mins. Operation 3 on Machine 3 duration 224 mins. Operation 4 on Machine 4 duration 470 mins. Job 7 consists of the following Operations: Operation 0 on Machine 0 duration 310 mins. Operation 1 on Machine 3 duration 368 mins. Operation 2 on Machine 2 duration 75 mins. Operation 3 on Machine 1 duration 415 mins. Operation 4 on Machine 4 duration 192 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 339 mins. Job 3 Operation 0 duration 424 mins. Job 5 Operation 0 duration 434 mins. Job 7 Operation 0 duration 310 mins. Job 0 Operation 1 duration 394 mins. Job 6 Operation 1 duration 472 mins. Job 2 Operation 3 duration 2 mins. Job 4 Operation 4 duration 60 mins. Machine 1 is used for the following Operations: Job 6 Operation 0 duration 92 mins. Job 1 Operation 1 duration 219 mins. Job 2 Operation 1 duration 446 mins. Job 3 Operation 2 duration 363 mins. Job 4 Operation 2 duration 80 mins. Job 7 Operation 3 duration 415 mins. Job 0 Operation 4 duration 45 mins. Job 5 Operation 4 duration 319 mins. Machine 2 is used for the following Operations: Job 4 Operation 0 duration 28 mins. Job 6 Operation 2 duration 375 mins. Job 7 Operation 2 duration 75 mins. Job 0 Operation 3 duration 329 mins. Job 1 Operation 3 duration 122 mins. Job 3 Operation 3 duration 41 mins. Job 5 Operation 3 duration 345 mins. Job 2 Operation 4 duration 29 mins. Machine 3 is used for the following Operations: Job 4 Operation 1 duration 304 mins. Job 7 Operation 1 duration 368 mins. Job 0 Operation 2 duration 213 mins. Job 2 Operation 2 duration 166 mins. Job 5 Operation 2 duration 33 mins. Job 6 Operation 3 duration 224 mins. Job 1 Operation 4 duration 305 mins. Job 3 Operation 4 duration 351 mins. Machine 4 is used for the following Operations: Job 0 Operation 0 duration 148 mins. Job 2 Operation 0 duration 144 mins. Job 3 Operation 1 duration 231 mins. Job 5 Operation 1 duration 20 mins. Job 1 Operation 2 duration 343 mins. Job 4 Operation 3 duration 239 mins. Job 6 Operation 4 duration 470 mins. Job 7 Operation 4 duration 192 mins.
Solution: Job 1 Operation 0 on Machine 0 : 0 + 339 -> 339 Job 6 Operation 0 on Machine 1 : 0 + 92 -> 92 Job 4 Operation 0 on Machine 2 : 0 + 28 -> 28 Job 2 Operation 0 on Machine 4 : 0 + 144 -> 144 Job 4 Operation 1 on Machine 3 : 28 + 304 -> 332 Job 2 Operation 1 on Machine 1 : 144 + 446 -> 590 Job 0 Operation 0 on Machine 4 : 144 + 148 -> 292 Job 7 Operation 0 on Machine 0 : 339 + 310 -> 649 Job 4 Operation 2 on Machine 1 : 590 + 80 -> 670 Job 2 Operation 2 on Machine 3 : 590 + 166 -> 756 Job 6 Operation 1 on Machine 0 : 649 + 472 -> 1121 Job 1 Operation 1 on Machine 1 : 670 + 219 -> 889 Job 4 Operation 3 on Machine 4 : 670 + 239 -> 909 Job 7 Operation 1 on Machine 3 : 756 + 368 -> 1124 Job 1 Operation 2 on Machine 4 : 909 + 343 -> 1252 Job 3 Operation 0 on Machine 0 : 1121 + 424 -> 1545 Job 7 Operation 2 on Machine 2 : 1124 + 75 -> 1199 Job 7 Operation 3 on Machine 1 : 1199 + 415 -> 1614 Job 1 Operation 3 on Machine 2 : 1252 + 122 -> 1374 Job 6 Operation 2 on Machine 2 : 1374 + 375 -> 1749 Job 1 Operation 4 on Machine 3 : 1374 + 305 -> 1679 Job 5 Operation 0 on Machine 0 : 1545 + 434 -> 1979 Job 3 Operation 1 on Machine 4 : 1545 + 231 -> 1776 Job 6 Operation 3 on Machine 3 : 1749 + 224 -> 1973 Job 3 Operation 2 on Machine 1 : 1776 + 363 -> 2139 Job 0 Operation 1 on Machine 0 : 1979 + 394 -> 2373 Job 5 Operation 1 on Machine 4 : 1979 + 20 -> 1999 Job 5 Operation 2 on Machine 3 : 1999 + 33 -> 2032 Job 6 Operation 4 on Machine 4 : 1999 + 470 -> 2469 Job 5 Operation 3 on Machine 2 : 2032 + 345 -> 2377 Job 2 Operation 3 on Machine 0 : 2373 + 2 -> 2375 Job 0 Operation 2 on Machine 3 : 2373 + 213 -> 2586 Job 4 Operation 4 on Machine 0 : 2375 + 60 -> 2435 Job 5 Operation 4 on Machine 1 : 2377 + 319 -> 2696 Job 2 Operation 4 on Machine 2 : 2377 + 29 -> 2406 Job 3 Operation 3 on Machine 2 : 2406 + 41 -> 2447 Job 7 Operation 4 on Machine 4 : 2469 + 192 -> 2661 Job 0 Operation 3 on Machine 2 : 2586 + 329 -> 2915 Job 3 Operation 4 on Machine 3 : 2586 + 351 -> 2937 Job 0 Operation 4 on Machine 1 : 2915 + 45 -> 2960 Makespan: 2960.0, as it is the maximum end completion time of Operation 4
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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 9 duration 427 mins. Operation 1 on Machine 5 duration 52 mins. Operation 2 on Machine 4 duration 180 mins. Operation 3 on Machine 7 duration 280 mins. Operation 4 on Machine 3 duration 330 mins. Operation 5 on Machine 8 duration 56 mins. Operation 6 on Machine 6 duration 183 mins. Operation 7 on Machine 1 duration 39 mins. Operation 8 on Machine 2 duration 217 mins. Operation 9 on Machine 0 duration 168 mins. Job 1 consists of the following Operations: Operation 0 on Machine 5 duration 168 mins. Operation 1 on Machine 4 duration 345 mins. Operation 2 on Machine 3 duration 392 mins. Operation 3 on Machine 6 duration 414 mins. Operation 4 on Machine 0 duration 451 mins. Operation 5 on Machine 2 duration 198 mins. Operation 6 on Machine 7 duration 61 mins. Operation 7 on Machine 8 duration 225 mins. Operation 8 on Machine 1 duration 301 mins. Operation 9 on Machine 9 duration 123 mins. Job 2 consists of the following Operations: Operation 0 on Machine 1 duration 150 mins. Operation 1 on Machine 8 duration 238 mins. Operation 2 on Machine 2 duration 145 mins. Operation 3 on Machine 9 duration 190 mins. Operation 4 on Machine 0 duration 225 mins. Operation 5 on Machine 5 duration 176 mins. Operation 6 on Machine 4 duration 116 mins. Operation 7 on Machine 6 duration 141 mins. Operation 8 on Machine 7 duration 402 mins. Operation 9 on Machine 3 duration 296 mins. Job 3 consists of the following Operations: Operation 0 on Machine 8 duration 362 mins. Operation 1 on Machine 6 duration 207 mins. Operation 2 on Machine 2 duration 15 mins. Operation 3 on Machine 3 duration 368 mins. Operation 4 on Machine 9 duration 480 mins. Operation 5 on Machine 0 duration 190 mins. Operation 6 on Machine 5 duration 190 mins. Operation 7 on Machine 4 duration 44 mins. Operation 8 on Machine 7 duration 243 mins. Operation 9 on Machine 1 duration 343 mins. Job 4 consists of the following Operations: Operation 0 on Machine 3 duration 111 mins. Operation 1 on Machine 8 duration 363 mins. Operation 2 on Machine 9 duration 82 mins. Operation 3 on Machine 0 duration 398 mins. Operation 4 on Machine 4 duration 112 mins. Operation 5 on Machine 5 duration 57 mins. Operation 6 on Machine 2 duration 49 mins. Operation 7 on Machine 1 duration 484 mins. Operation 8 on Machine 7 duration 189 mins. Operation 9 on Machine 6 duration 162 mins. Job 5 consists of the following Operations: Operation 0 on Machine 8 duration 105 mins. Operation 1 on Machine 7 duration 165 mins. Operation 2 on Machine 3 duration 332 mins. Operation 3 on Machine 5 duration 216 mins. Operation 4 on Machine 2 duration 30 mins. Operation 5 on Machine 9 duration 284 mins. Operation 6 on Machine 6 duration 311 mins. Operation 7 on Machine 0 duration 15 mins. Operation 8 on Machine 4 duration 431 mins. Operation 9 on Machine 1 duration 453 mins. Job 6 consists of the following Operations: Operation 0 on Machine 8 duration 425 mins. Operation 1 on Machine 7 duration 124 mins. Operation 2 on Machine 3 duration 353 mins. Operation 3 on Machine 9 duration 156 mins. Operation 4 on Machine 5 duration 242 mins. Operation 5 on Machine 2 duration 205 mins. Operation 6 on Machine 6 duration 417 mins. Operation 7 on Machine 0 duration 243 mins. Operation 8 on Machine 4 duration 406 mins. Operation 9 on Machine 1 duration 200 mins. Job 7 consists of the following Operations: Operation 0 on Machine 6 duration 325 mins. Operation 1 on Machine 1 duration 138 mins. Operation 2 on Machine 4 duration 96 mins. Operation 3 on Machine 9 duration 347 mins. Operation 4 on Machine 8 duration 14 mins. Operation 5 on Machine 0 duration 352 mins. Operation 6 on Machine 7 duration 327 mins. Operation 7 on Machine 2 duration 275 mins. Operation 8 on Machine 5 duration 353 mins. Operation 9 on Machine 3 duration 157 mins. Job 8 consists of the following Operations: Operation 0 on Machine 5 duration 200 mins. Operation 1 on Machine 8 duration 454 mins. Operation 2 on Machine 0 duration 98 mins. Operation 3 on Machine 3 duration 71 mins. Operation 4 on Machine 4 duration 436 mins. Operation 5 on Machine 6 duration 458 mins. Operation 6 on Machine 9 duration 431 mins. Operation 7 on Machine 2 duration 49 mins. Operation 8 on Machine 1 duration 468 mins. Operation 9 on Machine 7 duration 177 mins. Job 9 consists of the following Operations: Operation 0 on Machine 1 duration 85 mins. Operation 1 on Machine 9 duration 114 mins. Operation 2 on Machine 4 duration 50 mins. Operation 3 on Machine 0 duration 189 mins. Operation 4 on Machine 8 duration 226 mins. Operation 5 on Machine 6 duration 111 mins. Operation 6 on Machine 5 duration 169 mins. Operation 7 on Machine 2 duration 98 mins. Operation 8 on Machine 3 duration 104 mins. Operation 9 on Machine 7 duration 474 mins. Job 10 consists of the following Operations: Operation 0 on Machine 3 duration 113 mins. Operation 1 on Machine 7 duration 2 mins. Operation 2 on Machine 5 duration 84 mins. Operation 3 on Machine 2 duration 386 mins. Operation 4 on Machine 6 duration 92 mins. Operation 5 on Machine 0 duration 310 mins. Operation 6 on Machine 9 duration 369 mins. Operation 7 on Machine 4 duration 464 mins. Operation 8 on Machine 8 duration 5 mins. Operation 9 on Machine 1 duration 182 mins. Job 11 consists of the following Operations: Operation 0 on Machine 5 duration 456 mins. Operation 1 on Machine 8 duration 419 mins. Operation 2 on Machine 3 duration 244 mins. Operation 3 on Machine 9 duration 207 mins. Operation 4 on Machine 1 duration 209 mins. Operation 5 on Machine 0 duration 315 mins. Operation 6 on Machine 7 duration 64 mins. Operation 7 on Machine 6 duration 449 mins. Operation 8 on Machine 4 duration 334 mins. Operation 9 on Machine 2 duration 142 mins. Job 12 consists of the following Operations: Operation 0 on Machine 1 duration 220 mins. Operation 1 on Machine 4 duration 143 mins. Operation 2 on Machine 8 duration 257 mins. Operation 3 on Machine 7 duration 487 mins. Operation 4 on Machine 9 duration 36 mins. Operation 5 on Machine 6 duration 258 mins. Operation 6 on Machine 3 duration 449 mins. Operation 7 on Machine 5 duration 285 mins. Operation 8 on Machine 2 duration 299 mins. Operation 9 on Machine 0 duration 343 mins. Job 13 consists of the following Operations: Operation 0 on Machine 0 duration 283 mins. Operation 1 on Machine 3 duration 420 mins. Operation 2 on Machine 1 duration 254 mins. Operation 3 on Machine 5 duration 102 mins. Operation 4 on Machine 7 duration 202 mins. Operation 5 on Machine 2 duration 386 mins. Operation 6 on Machine 4 duration 272 mins. Operation 7 on Machine 9 duration 105 mins. Operation 8 on Machine 6 duration 121 mins. Operation 9 on Machine 8 duration 120 mins. Job 14 consists of the following Operations: Operation 0 on Machine 0 duration 236 mins. Operation 1 on Machine 8 duration 288 mins. Operation 2 on Machine 4 duration 215 mins. Operation 3 on Machine 2 duration 65 mins. Operation 4 on Machine 1 duration 272 mins. Operation 5 on Machine 7 duration 461 mins. Operation 6 on Machine 9 duration 109 mins. Operation 7 on Machine 6 duration 124 mins. Operation 8 on Machine 5 duration 100 mins. Operation 9 on Machine 3 duration 166 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 13 Operation 0 duration 283 mins. Job 14 Operation 0 duration 236 mins. Job 8 Operation 2 duration 98 mins. Job 4 Operation 3 duration 398 mins. Job 9 Operation 3 duration 189 mins. Job 1 Operation 4 duration 451 mins. Job 2 Operation 4 duration 225 mins. Job 3 Operation 5 duration 190 mins. Job 7 Operation 5 duration 352 mins. Job 10 Operation 5 duration 310 mins. Job 11 Operation 5 duration 315 mins. Job 5 Operation 7 duration 15 mins. Job 6 Operation 7 duration 243 mins. Job 0 Operation 9 duration 168 mins. Job 12 Operation 9 duration 343 mins. Machine 1 is used for the following Operations: Job 2 Operation 0 duration 150 mins. Job 9 Operation 0 duration 85 mins. Job 12 Operation 0 duration 220 mins. Job 7 Operation 1 duration 138 mins. Job 13 Operation 2 duration 254 mins. Job 11 Operation 4 duration 209 mins. Job 14 Operation 4 duration 272 mins. Job 0 Operation 7 duration 39 mins. Job 4 Operation 7 duration 484 mins. Job 1 Operation 8 duration 301 mins. Job 8 Operation 8 duration 468 mins. Job 3 Operation 9 duration 343 mins. Job 5 Operation 9 duration 453 mins. Job 6 Operation 9 duration 200 mins. Job 10 Operation 9 duration 182 mins. Machine 2 is used for the following Operations: Job 2 Operation 2 duration 145 mins. Job 3 Operation 2 duration 15 mins. Job 10 Operation 3 duration 386 mins. Job 14 Operation 3 duration 65 mins. Job 5 Operation 4 duration 30 mins. Job 1 Operation 5 duration 198 mins. Job 6 Operation 5 duration 205 mins. Job 13 Operation 5 duration 386 mins. Job 4 Operation 6 duration 49 mins. Job 7 Operation 7 duration 275 mins. Job 8 Operation 7 duration 49 mins. Job 9 Operation 7 duration 98 mins. Job 0 Operation 8 duration 217 mins. Job 12 Operation 8 duration 299 mins. Job 11 Operation 9 duration 142 mins. Machine 3 is used for the following Operations: Job 4 Operation 0 duration 111 mins. Job 10 Operation 0 duration 113 mins. Job 13 Operation 1 duration 420 mins. Job 1 Operation 2 duration 392 mins. Job 5 Operation 2 duration 332 mins. Job 6 Operation 2 duration 353 mins. Job 11 Operation 2 duration 244 mins. Job 3 Operation 3 duration 368 mins. Job 8 Operation 3 duration 71 mins. Job 0 Operation 4 duration 330 mins. Job 12 Operation 6 duration 449 mins. Job 9 Operation 8 duration 104 mins. Job 2 Operation 9 duration 296 mins. Job 7 Operation 9 duration 157 mins. Job 14 Operation 9 duration 166 mins. Machine 4 is used for the following Operations: Job 1 Operation 1 duration 345 mins. Job 12 Operation 1 duration 143 mins. Job 0 Operation 2 duration 180 mins. Job 7 Operation 2 duration 96 mins. Job 9 Operation 2 duration 50 mins. Job 14 Operation 2 duration 215 mins. Job 4 Operation 4 duration 112 mins. Job 8 Operation 4 duration 436 mins. Job 2 Operation 6 duration 116 mins. Job 13 Operation 6 duration 272 mins. Job 3 Operation 7 duration 44 mins. Job 10 Operation 7 duration 464 mins. Job 5 Operation 8 duration 431 mins. Job 6 Operation 8 duration 406 mins. Job 11 Operation 8 duration 334 mins. Machine 5 is used for the following Operations: Job 1 Operation 0 duration 168 mins. Job 8 Operation 0 duration 200 mins. Job 11 Operation 0 duration 456 mins. Job 0 Operation 1 duration 52 mins. Job 10 Operation 2 duration 84 mins. Job 5 Operation 3 duration 216 mins. Job 13 Operation 3 duration 102 mins. Job 6 Operation 4 duration 242 mins. Job 2 Operation 5 duration 176 mins. Job 4 Operation 5 duration 57 mins. Job 3 Operation 6 duration 190 mins. Job 9 Operation 6 duration 169 mins. Job 12 Operation 7 duration 285 mins. Job 7 Operation 8 duration 353 mins. Job 14 Operation 8 duration 100 mins. Machine 6 is used for the following Operations: Job 7 Operation 0 duration 325 mins. Job 3 Operation 1 duration 207 mins. Job 1 Operation 3 duration 414 mins. Job 10 Operation 4 duration 92 mins. Job 8 Operation 5 duration 458 mins. Job 9 Operation 5 duration 111 mins. Job 12 Operation 5 duration 258 mins. Job 0 Operation 6 duration 183 mins. Job 5 Operation 6 duration 311 mins. Job 6 Operation 6 duration 417 mins. Job 2 Operation 7 duration 141 mins. Job 11 Operation 7 duration 449 mins. Job 14 Operation 7 duration 124 mins. Job 13 Operation 8 duration 121 mins. Job 4 Operation 9 duration 162 mins. Machine 7 is used for the following Operations: Job 5 Operation 1 duration 165 mins. Job 6 Operation 1 duration 124 mins. Job 10 Operation 1 duration 2 mins. Job 0 Operation 3 duration 280 mins. Job 12 Operation 3 duration 487 mins. Job 13 Operation 4 duration 202 mins. Job 14 Operation 5 duration 461 mins. Job 1 Operation 6 duration 61 mins. Job 7 Operation 6 duration 327 mins. Job 11 Operation 6 duration 64 mins. Job 2 Operation 8 duration 402 mins. Job 3 Operation 8 duration 243 mins. Job 4 Operation 8 duration 189 mins. Job 8 Operation 9 duration 177 mins. Job 9 Operation 9 duration 474 mins. Machine 8 is used for the following Operations: Job 3 Operation 0 duration 362 mins. Job 5 Operation 0 duration 105 mins. Job 6 Operation 0 duration 425 mins. Job 2 Operation 1 duration 238 mins. Job 4 Operation 1 duration 363 mins. Job 8 Operation 1 duration 454 mins. Job 11 Operation 1 duration 419 mins. Job 14 Operation 1 duration 288 mins. Job 12 Operation 2 duration 257 mins. Job 7 Operation 4 duration 14 mins. Job 9 Operation 4 duration 226 mins. Job 0 Operation 5 duration 56 mins. Job 1 Operation 7 duration 225 mins. Job 10 Operation 8 duration 5 mins. Job 13 Operation 9 duration 120 mins. Machine 9 is used for the following Operations: Job 0 Operation 0 duration 427 mins. Job 9 Operation 1 duration 114 mins. Job 4 Operation 2 duration 82 mins. Job 2 Operation 3 duration 190 mins. Job 6 Operation 3 duration 156 mins. Job 7 Operation 3 duration 347 mins. Job 11 Operation 3 duration 207 mins. Job 3 Operation 4 duration 480 mins. Job 12 Operation 4 duration 36 mins. Job 5 Operation 5 duration 284 mins. Job 8 Operation 6 duration 431 mins. Job 10 Operation 6 duration 369 mins. Job 14 Operation 6 duration 109 mins. Job 13 Operation 7 duration 105 mins. Job 1 Operation 9 duration 123 mins.
Solution: Job 13 Operation 0 on Machine 0 : 0 + 283 -> 283 Job 9 Operation 0 on Machine 1 : 0 + 85 -> 85 Job 10 Operation 0 on Machine 3 : 0 + 113 -> 113 Job 7 Operation 0 on Machine 6 : 0 + 325 -> 325 Job 5 Operation 0 on Machine 8 : 0 + 105 -> 105 Job 0 Operation 0 on Machine 9 : 0 + 427 -> 427 Job 12 Operation 0 on Machine 1 : 85 + 220 -> 305 Job 3 Operation 0 on Machine 8 : 105 + 362 -> 467 Job 4 Operation 0 on Machine 3 : 113 + 111 -> 224 Job 10 Operation 1 on Machine 7 : 113 + 2 -> 115 Job 10 Operation 2 on Machine 5 : 115 + 84 -> 199 Job 5 Operation 1 on Machine 7 : 115 + 165 -> 280 Job 10 Operation 3 on Machine 2 : 199 + 386 -> 585 Job 1 Operation 0 on Machine 5 : 199 + 168 -> 367 Job 5 Operation 2 on Machine 3 : 280 + 332 -> 612 Job 14 Operation 0 on Machine 0 : 283 + 236 -> 519 Job 12 Operation 1 on Machine 4 : 305 + 143 -> 448 Job 7 Operation 1 on Machine 1 : 325 + 138 -> 463 Job 0 Operation 1 on Machine 5 : 427 + 52 -> 479 Job 9 Operation 1 on Machine 9 : 427 + 114 -> 541 Job 2 Operation 0 on Machine 1 : 463 + 150 -> 613 Job 7 Operation 2 on Machine 4 : 463 + 96 -> 559 Job 12 Operation 2 on Machine 8 : 467 + 257 -> 724 Job 9 Operation 2 on Machine 4 : 559 + 50 -> 609 Job 7 Operation 3 on Machine 9 : 559 + 347 -> 906 Job 10 Operation 4 on Machine 6 : 585 + 92 -> 677 Job 9 Operation 3 on Machine 0 : 609 + 189 -> 798 Job 1 Operation 1 on Machine 4 : 609 + 345 -> 954 Job 13 Operation 1 on Machine 3 : 612 + 420 -> 1032 Job 5 Operation 3 on Machine 5 : 612 + 216 -> 828 Job 3 Operation 1 on Machine 6 : 677 + 207 -> 884 Job 12 Operation 3 on Machine 7 : 724 + 487 -> 1211 Job 4 Operation 1 on Machine 8 : 724 + 363 -> 1087 Job 10 Operation 5 on Machine 0 : 798 + 310 -> 1108 Job 5 Operation 4 on Machine 2 : 828 + 30 -> 858 Job 11 Operation 0 on Machine 5 : 828 + 456 -> 1284 Job 0 Operation 2 on Machine 4 : 954 + 180 -> 1134 Job 13 Operation 2 on Machine 1 : 1032 + 254 -> 1286 Job 1 Operation 2 on Machine 3 : 1032 + 392 -> 1424 Job 2 Operation 1 on Machine 8 : 1087 + 238 -> 1325 Job 4 Operation 2 on Machine 9 : 1087 + 82 -> 1169 Job 4 Operation 3 on Machine 0 : 1169 + 398 -> 1567 Job 10 Operation 6 on Machine 9 : 1169 + 369 -> 1538 Job 0 Operation 3 on Machine 7 : 1211 + 280 -> 1491 Job 8 Operation 0 on Machine 5 : 1284 + 200 -> 1484 Job 2 Operation 2 on Machine 2 : 1325 + 145 -> 1470 Job 6 Operation 0 on Machine 8 : 1325 + 425 -> 1750 Job 1 Operation 3 on Machine 6 : 1424 + 414 -> 1838 Job 0 Operation 4 on Machine 3 : 1491 + 330 -> 1821 Job 2 Operation 3 on Machine 9 : 1538 + 190 -> 1728 Job 4 Operation 4 on Machine 4 : 1567 + 112 -> 1679 Job 10 Operation 7 on Machine 4 : 1679 + 464 -> 2143 Job 4 Operation 5 on Machine 5 : 1679 + 57 -> 1736 Job 2 Operation 4 on Machine 0 : 1728 + 225 -> 1953 Job 5 Operation 5 on Machine 9 : 1728 + 284 -> 2012 Job 4 Operation 6 on Machine 2 : 1736 + 49 -> 1785 Job 6 Operation 1 on Machine 7 : 1750 + 124 -> 1874 Job 7 Operation 4 on Machine 8 : 1750 + 14 -> 1764 Job 14 Operation 1 on Machine 8 : 1764 + 288 -> 2052 Job 4 Operation 7 on Machine 1 : 1785 + 484 -> 2269 Job 3 Operation 2 on Machine 2 : 1785 + 15 -> 1800 Job 6 Operation 2 on Machine 3 : 1874 + 353 -> 2227 Job 1 Operation 4 on Machine 0 : 1953 + 451 -> 2404 Job 2 Operation 5 on Machine 5 : 1953 + 176 -> 2129 Job 5 Operation 6 on Machine 6 : 2012 + 311 -> 2323 Job 12 Operation 4 on Machine 9 : 2012 + 36 -> 2048 Job 8 Operation 1 on Machine 8 : 2052 + 454 -> 2506 Job 13 Operation 3 on Machine 5 : 2129 + 102 -> 2231 Job 2 Operation 6 on Machine 4 : 2143 + 116 -> 2259 Job 3 Operation 3 on Machine 3 : 2227 + 368 -> 2595 Job 6 Operation 3 on Machine 9 : 2227 + 156 -> 2383 Job 13 Operation 4 on Machine 7 : 2231 + 202 -> 2433 Job 14 Operation 2 on Machine 4 : 2259 + 215 -> 2474 Job 2 Operation 7 on Machine 6 : 2323 + 141 -> 2464 Job 6 Operation 4 on Machine 5 : 2383 + 242 -> 2625 Job 5 Operation 7 on Machine 0 : 2404 + 15 -> 2419 Job 7 Operation 5 on Machine 0 : 2419 + 352 -> 2771 Job 12 Operation 5 on Machine 6 : 2464 + 258 -> 2722 Job 2 Operation 8 on Machine 7 : 2464 + 402 -> 2866 Job 14 Operation 3 on Machine 2 : 2474 + 65 -> 2539 Job 5 Operation 8 on Machine 4 : 2474 + 431 -> 2905 Job 10 Operation 8 on Machine 8 : 2506 + 5 -> 2511 Job 10 Operation 9 on Machine 1 : 2511 + 182 -> 2693 Job 0 Operation 5 on Machine 8 : 2511 + 56 -> 2567 Job 11 Operation 1 on Machine 8 : 2567 + 419 -> 2986 Job 3 Operation 4 on Machine 9 : 2595 + 480 -> 3075 Job 6 Operation 5 on Machine 2 : 2625 + 205 -> 2830 Job 14 Operation 4 on Machine 1 : 2693 + 272 -> 2965 Job 0 Operation 6 on Machine 6 : 2722 + 183 -> 2905 Job 8 Operation 2 on Machine 0 : 2771 + 98 -> 2869 Job 1 Operation 5 on Machine 2 : 2830 + 198 -> 3028 Job 7 Operation 6 on Machine 7 : 2866 + 327 -> 3193 Job 8 Operation 3 on Machine 3 : 2869 + 71 -> 2940 Job 6 Operation 6 on Machine 6 : 2905 + 417 -> 3322 Job 8 Operation 4 on Machine 4 : 2940 + 436 -> 3376 Job 5 Operation 9 on Machine 1 : 2965 + 453 -> 3418 Job 11 Operation 2 on Machine 3 : 2986 + 244 -> 3230 Job 9 Operation 4 on Machine 8 : 2986 + 226 -> 3212 Job 3 Operation 5 on Machine 0 : 3075 + 190 -> 3265 Job 7 Operation 7 on Machine 2 : 3193 + 275 -> 3468 Job 1 Operation 6 on Machine 7 : 3193 + 61 -> 3254 Job 12 Operation 6 on Machine 3 : 3230 + 449 -> 3679 Job 11 Operation 3 on Machine 9 : 3230 + 207 -> 3437 Job 14 Operation 5 on Machine 7 : 3254 + 461 -> 3715 Job 1 Operation 7 on Machine 8 : 3254 + 225 -> 3479 Job 3 Operation 6 on Machine 5 : 3265 + 190 -> 3455 Job 6 Operation 7 on Machine 0 : 3322 + 243 -> 3565 Job 8 Operation 5 on Machine 6 : 3376 + 458 -> 3834 Job 0 Operation 7 on Machine 1 : 3418 + 39 -> 3457 Job 3 Operation 7 on Machine 4 : 3455 + 44 -> 3499 Job 11 Operation 4 on Machine 1 : 3457 + 209 -> 3666 Job 13 Operation 5 on Machine 2 : 3468 + 386 -> 3854 Job 6 Operation 8 on Machine 4 : 3565 + 406 -> 3971 Job 11 Operation 5 on Machine 0 : 3666 + 315 -> 3981 Job 1 Operation 8 on Machine 1 : 3666 + 301 -> 3967 Job 12 Operation 7 on Machine 5 : 3679 + 285 -> 3964 Job 3 Operation 8 on Machine 7 : 3715 + 243 -> 3958 Job 9 Operation 5 on Machine 6 : 3834 + 111 -> 3945 Job 8 Operation 6 on Machine 9 : 3834 + 431 -> 4265 Job 0 Operation 8 on Machine 2 : 3854 + 217 -> 4071 Job 9 Operation 6 on Machine 5 : 3964 + 169 -> 4133 Job 3 Operation 9 on Machine 1 : 3967 + 343 -> 4310 Job 13 Operation 6 on Machine 4 : 3971 + 272 -> 4243 Job 11 Operation 6 on Machine 7 : 3981 + 64 -> 4045 Job 11 Operation 7 on Machine 6 : 4045 + 449 -> 4494 Job 4 Operation 8 on Machine 7 : 4045 + 189 -> 4234 Job 0 Operation 9 on Machine 0 : 4071 + 168 -> 4239 Job 9 Operation 7 on Machine 2 : 4133 + 98 -> 4231 Job 7 Operation 8 on Machine 5 : 4133 + 353 -> 4486 Job 9 Operation 8 on Machine 3 : 4231 + 104 -> 4335 Job 8 Operation 7 on Machine 2 : 4265 + 49 -> 4314 Job 1 Operation 9 on Machine 9 : 4265 + 123 -> 4388 Job 8 Operation 8 on Machine 1 : 4314 + 468 -> 4782 Job 12 Operation 8 on Machine 2 : 4314 + 299 -> 4613 Job 2 Operation 9 on Machine 3 : 4335 + 296 -> 4631 Job 9 Operation 9 on Machine 7 : 4335 + 474 -> 4809 Job 14 Operation 6 on Machine 9 : 4388 + 109 -> 4497 Job 11 Operation 8 on Machine 4 : 4494 + 334 -> 4828 Job 14 Operation 7 on Machine 6 : 4497 + 124 -> 4621 Job 13 Operation 7 on Machine 9 : 4497 + 105 -> 4602 Job 12 Operation 9 on Machine 0 : 4613 + 343 -> 4956 Job 14 Operation 8 on Machine 5 : 4621 + 100 -> 4721 Job 13 Operation 8 on Machine 6 : 4621 + 121 -> 4742 Job 7 Operation 9 on Machine 3 : 4631 + 157 -> 4788 Job 4 Operation 9 on Machine 6 : 4742 + 162 -> 4904 Job 13 Operation 9 on Machine 8 : 4742 + 120 -> 4862 Job 6 Operation 9 on Machine 1 : 4782 + 200 -> 4982 Job 14 Operation 9 on Machine 3 : 4788 + 166 -> 4954 Job 8 Operation 9 on Machine 7 : 4809 + 177 -> 4986 Job 11 Operation 9 on Machine 2 : 4828 + 142 -> 4970 Makespan: 4986.0, as it is the maximum end completion time of Operation 9
10
9
Optimize schedule for 10 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 1 duration 176 mins. Operation 1 on Machine 2 duration 121 mins. Operation 2 on Machine 5 duration 53 mins. Operation 3 on Machine 0 duration 8 mins. Operation 4 on Machine 7 duration 153 mins. Operation 5 on Machine 8 duration 200 mins. Operation 6 on Machine 6 duration 60 mins. Operation 7 on Machine 4 duration 112 mins. Operation 8 on Machine 3 duration 280 mins. Job 1 consists of the following Operations: Operation 0 on Machine 1 duration 260 mins. Operation 1 on Machine 6 duration 127 mins. Operation 2 on Machine 0 duration 235 mins. Operation 3 on Machine 3 duration 256 mins. Operation 4 on Machine 7 duration 209 mins. Operation 5 on Machine 8 duration 24 mins. Operation 6 on Machine 2 duration 268 mins. Operation 7 on Machine 4 duration 100 mins. Operation 8 on Machine 5 duration 154 mins. Job 2 consists of the following Operations: Operation 0 on Machine 1 duration 38 mins. Operation 1 on Machine 4 duration 12 mins. Operation 2 on Machine 6 duration 195 mins. Operation 3 on Machine 0 duration 10 mins. Operation 4 on Machine 7 duration 117 mins. Operation 5 on Machine 5 duration 260 mins. Operation 6 on Machine 2 duration 26 mins. Operation 7 on Machine 3 duration 179 mins. Operation 8 on Machine 8 duration 169 mins. Job 3 consists of the following Operations: Operation 0 on Machine 6 duration 288 mins. Operation 1 on Machine 1 duration 225 mins. Operation 2 on Machine 7 duration 267 mins. Operation 3 on Machine 0 duration 53 mins. Operation 4 on Machine 8 duration 45 mins. Operation 5 on Machine 5 duration 280 mins. Operation 6 on Machine 2 duration 167 mins. Operation 7 on Machine 4 duration 236 mins. Operation 8 on Machine 3 duration 32 mins. Job 4 consists of the following Operations: Operation 0 on Machine 2 duration 152 mins. Operation 1 on Machine 6 duration 278 mins. Operation 2 on Machine 8 duration 179 mins. Operation 3 on Machine 1 duration 61 mins. Operation 4 on Machine 0 duration 170 mins. Operation 5 on Machine 3 duration 297 mins. Operation 6 on Machine 4 duration 78 mins. Operation 7 on Machine 7 duration 31 mins. Operation 8 on Machine 5 duration 164 mins. Job 5 consists of the following Operations: Operation 0 on Machine 8 duration 102 mins. Operation 1 on Machine 3 duration 203 mins. Operation 2 on Machine 1 duration 21 mins. Operation 3 on Machine 7 duration 85 mins. Operation 4 on Machine 4 duration 15 mins. Operation 5 on Machine 0 duration 196 mins. Operation 6 on Machine 5 duration 242 mins. Operation 7 on Machine 2 duration 208 mins. Operation 8 on Machine 6 duration 6 mins. Job 6 consists of the following Operations: Operation 0 on Machine 8 duration 213 mins. Operation 1 on Machine 4 duration 70 mins. Operation 2 on Machine 2 duration 44 mins. Operation 3 on Machine 7 duration 216 mins. Operation 4 on Machine 1 duration 10 mins. Operation 5 on Machine 5 duration 180 mins. Operation 6 on Machine 0 duration 132 mins. Operation 7 on Machine 6 duration 275 mins. Operation 8 on Machine 3 duration 209 mins. Job 7 consists of the following Operations: Operation 0 on Machine 2 duration 10 mins. Operation 1 on Machine 6 duration 79 mins. Operation 2 on Machine 4 duration 23 mins. Operation 3 on Machine 7 duration 6 mins. Operation 4 on Machine 3 duration 185 mins. Operation 5 on Machine 8 duration 278 mins. Operation 6 on Machine 1 duration 145 mins. Operation 7 on Machine 5 duration 47 mins. Operation 8 on Machine 0 duration 82 mins. Job 8 consists of the following Operations: Operation 0 on Machine 3 duration 81 mins. Operation 1 on Machine 2 duration 274 mins. Operation 2 on Machine 4 duration 251 mins. Operation 3 on Machine 5 duration 123 mins. Operation 4 on Machine 0 duration 92 mins. Operation 5 on Machine 1 duration 90 mins. Operation 6 on Machine 6 duration 150 mins. Operation 7 on Machine 7 duration 13 mins. Operation 8 on Machine 8 duration 281 mins. Job 9 consists of the following Operations: Operation 0 on Machine 0 duration 193 mins. Operation 1 on Machine 4 duration 90 mins. Operation 2 on Machine 5 duration 99 mins. Operation 3 on Machine 8 duration 117 mins. Operation 4 on Machine 6 duration 202 mins. Operation 5 on Machine 1 duration 81 mins. Operation 6 on Machine 7 duration 231 mins. Operation 7 on Machine 3 duration 249 mins. Operation 8 on Machine 2 duration 3 mins.
Optimize schedule for 10 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 9 Operation 0 duration 193 mins. Job 1 Operation 2 duration 235 mins. Job 0 Operation 3 duration 8 mins. Job 2 Operation 3 duration 10 mins. Job 3 Operation 3 duration 53 mins. Job 4 Operation 4 duration 170 mins. Job 8 Operation 4 duration 92 mins. Job 5 Operation 5 duration 196 mins. Job 6 Operation 6 duration 132 mins. Job 7 Operation 8 duration 82 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 176 mins. Job 1 Operation 0 duration 260 mins. Job 2 Operation 0 duration 38 mins. Job 3 Operation 1 duration 225 mins. Job 5 Operation 2 duration 21 mins. Job 4 Operation 3 duration 61 mins. Job 6 Operation 4 duration 10 mins. Job 8 Operation 5 duration 90 mins. Job 9 Operation 5 duration 81 mins. Job 7 Operation 6 duration 145 mins. Machine 2 is used for the following Operations: Job 4 Operation 0 duration 152 mins. Job 7 Operation 0 duration 10 mins. Job 0 Operation 1 duration 121 mins. Job 8 Operation 1 duration 274 mins. Job 6 Operation 2 duration 44 mins. Job 1 Operation 6 duration 268 mins. Job 2 Operation 6 duration 26 mins. Job 3 Operation 6 duration 167 mins. Job 5 Operation 7 duration 208 mins. Job 9 Operation 8 duration 3 mins. Machine 3 is used for the following Operations: Job 8 Operation 0 duration 81 mins. Job 5 Operation 1 duration 203 mins. Job 1 Operation 3 duration 256 mins. Job 7 Operation 4 duration 185 mins. Job 4 Operation 5 duration 297 mins. Job 2 Operation 7 duration 179 mins. Job 9 Operation 7 duration 249 mins. Job 0 Operation 8 duration 280 mins. Job 3 Operation 8 duration 32 mins. Job 6 Operation 8 duration 209 mins. Machine 4 is used for the following Operations: Job 2 Operation 1 duration 12 mins. Job 6 Operation 1 duration 70 mins. Job 9 Operation 1 duration 90 mins. Job 7 Operation 2 duration 23 mins. Job 8 Operation 2 duration 251 mins. Job 5 Operation 4 duration 15 mins. Job 4 Operation 6 duration 78 mins. Job 0 Operation 7 duration 112 mins. Job 1 Operation 7 duration 100 mins. Job 3 Operation 7 duration 236 mins. Machine 5 is used for the following Operations: Job 0 Operation 2 duration 53 mins. Job 9 Operation 2 duration 99 mins. Job 8 Operation 3 duration 123 mins. Job 2 Operation 5 duration 260 mins. Job 3 Operation 5 duration 280 mins. Job 6 Operation 5 duration 180 mins. Job 5 Operation 6 duration 242 mins. Job 7 Operation 7 duration 47 mins. Job 1 Operation 8 duration 154 mins. Job 4 Operation 8 duration 164 mins. Machine 6 is used for the following Operations: Job 3 Operation 0 duration 288 mins. Job 1 Operation 1 duration 127 mins. Job 4 Operation 1 duration 278 mins. Job 7 Operation 1 duration 79 mins. Job 2 Operation 2 duration 195 mins. Job 9 Operation 4 duration 202 mins. Job 0 Operation 6 duration 60 mins. Job 8 Operation 6 duration 150 mins. Job 6 Operation 7 duration 275 mins. Job 5 Operation 8 duration 6 mins. Machine 7 is used for the following Operations: Job 3 Operation 2 duration 267 mins. Job 5 Operation 3 duration 85 mins. Job 6 Operation 3 duration 216 mins. Job 7 Operation 3 duration 6 mins. Job 0 Operation 4 duration 153 mins. Job 1 Operation 4 duration 209 mins. Job 2 Operation 4 duration 117 mins. Job 9 Operation 6 duration 231 mins. Job 4 Operation 7 duration 31 mins. Job 8 Operation 7 duration 13 mins. Machine 8 is used for the following Operations: Job 5 Operation 0 duration 102 mins. Job 6 Operation 0 duration 213 mins. Job 4 Operation 2 duration 179 mins. Job 9 Operation 3 duration 117 mins. Job 3 Operation 4 duration 45 mins. Job 0 Operation 5 duration 200 mins. Job 1 Operation 5 duration 24 mins. Job 7 Operation 5 duration 278 mins. Job 2 Operation 8 duration 169 mins. Job 8 Operation 8 duration 281 mins.
Solution: Job 9 Operation 0 on Machine 0 : 0 + 193 -> 193 Job 2 Operation 0 on Machine 1 : 0 + 38 -> 38 Job 7 Operation 0 on Machine 2 : 0 + 10 -> 10 Job 8 Operation 0 on Machine 3 : 0 + 81 -> 81 Job 6 Operation 0 on Machine 8 : 0 + 213 -> 213 Job 4 Operation 0 on Machine 2 : 10 + 152 -> 162 Job 7 Operation 1 on Machine 6 : 10 + 79 -> 89 Job 0 Operation 0 on Machine 1 : 38 + 176 -> 214 Job 2 Operation 1 on Machine 4 : 38 + 12 -> 50 Job 7 Operation 2 on Machine 4 : 89 + 23 -> 112 Job 2 Operation 2 on Machine 6 : 89 + 195 -> 284 Job 7 Operation 3 on Machine 7 : 112 + 6 -> 118 Job 7 Operation 4 on Machine 3 : 118 + 185 -> 303 Job 6 Operation 1 on Machine 4 : 213 + 70 -> 283 Job 5 Operation 0 on Machine 8 : 213 + 102 -> 315 Job 1 Operation 0 on Machine 1 : 214 + 260 -> 474 Job 0 Operation 1 on Machine 2 : 214 + 121 -> 335 Job 9 Operation 1 on Machine 4 : 283 + 90 -> 373 Job 2 Operation 3 on Machine 0 : 284 + 10 -> 294 Job 3 Operation 0 on Machine 6 : 284 + 288 -> 572 Job 2 Operation 4 on Machine 7 : 294 + 117 -> 411 Job 5 Operation 1 on Machine 3 : 315 + 203 -> 518 Job 7 Operation 5 on Machine 8 : 315 + 278 -> 593 Job 6 Operation 2 on Machine 2 : 335 + 44 -> 379 Job 0 Operation 2 on Machine 5 : 335 + 53 -> 388 Job 8 Operation 1 on Machine 2 : 379 + 274 -> 653 Job 0 Operation 3 on Machine 0 : 388 + 8 -> 396 Job 2 Operation 5 on Machine 5 : 411 + 260 -> 671 Job 0 Operation 4 on Machine 7 : 411 + 153 -> 564 Job 5 Operation 2 on Machine 1 : 518 + 21 -> 539 Job 6 Operation 3 on Machine 7 : 564 + 216 -> 780 Job 3 Operation 1 on Machine 1 : 572 + 225 -> 797 Job 1 Operation 1 on Machine 6 : 572 + 127 -> 699 Job 0 Operation 5 on Machine 8 : 593 + 200 -> 793 Job 8 Operation 2 on Machine 4 : 653 + 251 -> 904 Job 2 Operation 6 on Machine 2 : 671 + 26 -> 697 Job 9 Operation 2 on Machine 5 : 671 + 99 -> 770 Job 2 Operation 7 on Machine 3 : 697 + 179 -> 876 Job 1 Operation 2 on Machine 0 : 699 + 235 -> 934 Job 4 Operation 1 on Machine 6 : 699 + 278 -> 977 Job 9 Operation 3 on Machine 8 : 793 + 117 -> 910 Job 6 Operation 4 on Machine 1 : 797 + 10 -> 807 Job 3 Operation 2 on Machine 7 : 797 + 267 -> 1064 Job 7 Operation 6 on Machine 1 : 807 + 145 -> 952 Job 6 Operation 5 on Machine 5 : 807 + 180 -> 987 Job 1 Operation 3 on Machine 3 : 934 + 256 -> 1190 Job 0 Operation 6 on Machine 6 : 977 + 60 -> 1037 Job 4 Operation 2 on Machine 8 : 977 + 179 -> 1156 Job 6 Operation 6 on Machine 0 : 987 + 132 -> 1119 Job 8 Operation 3 on Machine 5 : 987 + 123 -> 1110 Job 0 Operation 7 on Machine 4 : 1037 + 112 -> 1149 Job 9 Operation 4 on Machine 6 : 1037 + 202 -> 1239 Job 5 Operation 3 on Machine 7 : 1064 + 85 -> 1149 Job 7 Operation 7 on Machine 5 : 1110 + 47 -> 1157 Job 3 Operation 3 on Machine 0 : 1119 + 53 -> 1172 Job 5 Operation 4 on Machine 4 : 1149 + 15 -> 1164 Job 4 Operation 3 on Machine 1 : 1156 + 61 -> 1217 Job 3 Operation 4 on Machine 8 : 1172 + 45 -> 1217 Job 0 Operation 8 on Machine 3 : 1190 + 280 -> 1470 Job 1 Operation 4 on Machine 7 : 1190 + 209 -> 1399 Job 4 Operation 4 on Machine 0 : 1217 + 170 -> 1387 Job 3 Operation 5 on Machine 5 : 1217 + 280 -> 1497 Job 9 Operation 5 on Machine 1 : 1239 + 81 -> 1320 Job 6 Operation 7 on Machine 6 : 1239 + 275 -> 1514 Job 8 Operation 4 on Machine 0 : 1387 + 92 -> 1479 Job 9 Operation 6 on Machine 7 : 1399 + 231 -> 1630 Job 1 Operation 5 on Machine 8 : 1399 + 24 -> 1423 Job 1 Operation 6 on Machine 2 : 1423 + 268 -> 1691 Job 2 Operation 8 on Machine 8 : 1423 + 169 -> 1592 Job 4 Operation 5 on Machine 3 : 1470 + 297 -> 1767 Job 5 Operation 5 on Machine 0 : 1479 + 196 -> 1675 Job 8 Operation 5 on Machine 1 : 1479 + 90 -> 1569 Job 8 Operation 6 on Machine 6 : 1569 + 150 -> 1719 Job 7 Operation 8 on Machine 0 : 1675 + 82 -> 1757 Job 5 Operation 6 on Machine 5 : 1675 + 242 -> 1917 Job 3 Operation 6 on Machine 2 : 1691 + 167 -> 1858 Job 8 Operation 7 on Machine 7 : 1719 + 13 -> 1732 Job 8 Operation 8 on Machine 8 : 1732 + 281 -> 2013 Job 6 Operation 8 on Machine 3 : 1767 + 209 -> 1976 Job 4 Operation 6 on Machine 4 : 1767 + 78 -> 1845 Job 1 Operation 7 on Machine 4 : 1845 + 100 -> 1945 Job 4 Operation 7 on Machine 7 : 1845 + 31 -> 1876 Job 5 Operation 7 on Machine 2 : 1917 + 208 -> 2125 Job 4 Operation 8 on Machine 5 : 1917 + 164 -> 2081 Job 3 Operation 7 on Machine 4 : 1945 + 236 -> 2181 Job 9 Operation 7 on Machine 3 : 1976 + 249 -> 2225 Job 1 Operation 8 on Machine 5 : 2081 + 154 -> 2235 Job 5 Operation 8 on Machine 6 : 2125 + 6 -> 2131 Job 9 Operation 8 on Machine 2 : 2225 + 3 -> 2228 Job 3 Operation 8 on Machine 3 : 2225 + 32 -> 2257 Makespan: 2257.0, as it is the maximum end completion time of Operation 8
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 1 duration 280 mins. Operation 1 on Machine 0 duration 214 mins. Operation 2 on Machine 3 duration 313 mins. Operation 3 on Machine 2 duration 326 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 159 mins. Operation 1 on Machine 1 duration 54 mins. Operation 2 on Machine 2 duration 236 mins. Operation 3 on Machine 3 duration 312 mins. Job 2 consists of the following Operations: Operation 0 on Machine 2 duration 278 mins. Operation 1 on Machine 0 duration 363 mins. Operation 2 on Machine 1 duration 297 mins. Operation 3 on Machine 3 duration 249 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 39 mins. Operation 1 on Machine 3 duration 24 mins. Operation 2 on Machine 2 duration 261 mins. Operation 3 on Machine 1 duration 135 mins. Job 4 consists of the following Operations: Operation 0 on Machine 1 duration 171 mins. Operation 1 on Machine 0 duration 345 mins. Operation 2 on Machine 2 duration 131 mins. Operation 3 on Machine 3 duration 33 mins. Job 5 consists of the following Operations: Operation 0 on Machine 3 duration 199 mins. Operation 1 on Machine 1 duration 127 mins. Operation 2 on Machine 0 duration 314 mins. Operation 3 on Machine 2 duration 52 mins. Job 6 consists of the following Operations: Operation 0 on Machine 0 duration 244 mins. Operation 1 on Machine 3 duration 23 mins. Operation 2 on Machine 2 duration 267 mins. Operation 3 on Machine 1 duration 362 mins. Job 7 consists of the following Operations: Operation 0 on Machine 0 duration 228 mins. Operation 1 on Machine 1 duration 31 mins. Operation 2 on Machine 2 duration 416 mins. Operation 3 on Machine 3 duration 283 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 1 Operation 0 duration 159 mins. Job 3 Operation 0 duration 39 mins. Job 6 Operation 0 duration 244 mins. Job 7 Operation 0 duration 228 mins. Job 0 Operation 1 duration 214 mins. Job 2 Operation 1 duration 363 mins. Job 4 Operation 1 duration 345 mins. Job 5 Operation 2 duration 314 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 280 mins. Job 4 Operation 0 duration 171 mins. Job 1 Operation 1 duration 54 mins. Job 5 Operation 1 duration 127 mins. Job 7 Operation 1 duration 31 mins. Job 2 Operation 2 duration 297 mins. Job 3 Operation 3 duration 135 mins. Job 6 Operation 3 duration 362 mins. Machine 2 is used for the following Operations: Job 2 Operation 0 duration 278 mins. Job 1 Operation 2 duration 236 mins. Job 3 Operation 2 duration 261 mins. Job 4 Operation 2 duration 131 mins. Job 6 Operation 2 duration 267 mins. Job 7 Operation 2 duration 416 mins. Job 0 Operation 3 duration 326 mins. Job 5 Operation 3 duration 52 mins. Machine 3 is used for the following Operations: Job 5 Operation 0 duration 199 mins. Job 3 Operation 1 duration 24 mins. Job 6 Operation 1 duration 23 mins. Job 0 Operation 2 duration 313 mins. Job 1 Operation 3 duration 312 mins. Job 2 Operation 3 duration 249 mins. Job 4 Operation 3 duration 33 mins. Job 7 Operation 3 duration 283 mins.
Solution: Job 3 Operation 0 on Machine 0 : 0 + 39 -> 39 Job 4 Operation 0 on Machine 1 : 0 + 171 -> 171 Job 2 Operation 0 on Machine 2 : 0 + 278 -> 278 Job 5 Operation 0 on Machine 3 : 0 + 199 -> 199 Job 1 Operation 0 on Machine 0 : 39 + 159 -> 198 Job 6 Operation 0 on Machine 0 : 198 + 244 -> 442 Job 1 Operation 1 on Machine 1 : 198 + 54 -> 252 Job 3 Operation 1 on Machine 3 : 199 + 24 -> 223 Job 0 Operation 0 on Machine 1 : 252 + 280 -> 532 Job 3 Operation 2 on Machine 2 : 278 + 261 -> 539 Job 7 Operation 0 on Machine 0 : 442 + 228 -> 670 Job 6 Operation 1 on Machine 3 : 442 + 23 -> 465 Job 3 Operation 3 on Machine 1 : 539 + 135 -> 674 Job 1 Operation 2 on Machine 2 : 539 + 236 -> 775 Job 0 Operation 1 on Machine 0 : 670 + 214 -> 884 Job 7 Operation 1 on Machine 1 : 674 + 31 -> 705 Job 5 Operation 1 on Machine 1 : 705 + 127 -> 832 Job 7 Operation 2 on Machine 2 : 775 + 416 -> 1191 Job 1 Operation 3 on Machine 3 : 775 + 312 -> 1087 Job 2 Operation 1 on Machine 0 : 884 + 363 -> 1247 Job 0 Operation 2 on Machine 3 : 1087 + 313 -> 1400 Job 6 Operation 2 on Machine 2 : 1191 + 267 -> 1458 Job 4 Operation 1 on Machine 0 : 1247 + 345 -> 1592 Job 2 Operation 2 on Machine 1 : 1247 + 297 -> 1544 Job 7 Operation 3 on Machine 3 : 1400 + 283 -> 1683 Job 0 Operation 3 on Machine 2 : 1458 + 326 -> 1784 Job 6 Operation 3 on Machine 1 : 1544 + 362 -> 1906 Job 5 Operation 2 on Machine 0 : 1592 + 314 -> 1906 Job 2 Operation 3 on Machine 3 : 1683 + 249 -> 1932 Job 4 Operation 2 on Machine 2 : 1784 + 131 -> 1915 Job 5 Operation 3 on Machine 2 : 1915 + 52 -> 1967 Job 4 Operation 3 on Machine 3 : 1932 + 33 -> 1965 Makespan: 1967.0, as it is the maximum end completion time of Operation 3
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 0 duration 35 mins. Operation 1 on Machine 6 duration 53 mins. Operation 2 on Machine 1 duration 16 mins. Operation 3 on Machine 3 duration 90 mins. Operation 4 on Machine 4 duration 85 mins. Operation 5 on Machine 2 duration 74 mins. Operation 6 on Machine 5 duration 13 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 61 mins. Operation 1 on Machine 5 duration 62 mins. Operation 2 on Machine 4 duration 65 mins. Operation 3 on Machine 2 duration 84 mins. Operation 4 on Machine 1 duration 57 mins. Operation 5 on Machine 6 duration 77 mins. Operation 6 on Machine 3 duration 66 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 5 mins. Operation 1 on Machine 4 duration 71 mins. Operation 2 on Machine 5 duration 44 mins. Operation 3 on Machine 6 duration 5 mins. Operation 4 on Machine 1 duration 46 mins. Operation 5 on Machine 3 duration 87 mins. Operation 6 on Machine 2 duration 10 mins. Job 3 consists of the following Operations: Operation 0 on Machine 3 duration 19 mins. Operation 1 on Machine 0 duration 51 mins. Operation 2 on Machine 6 duration 84 mins. Operation 3 on Machine 2 duration 3 mins. Operation 4 on Machine 1 duration 5 mins. Operation 5 on Machine 5 duration 74 mins. Operation 6 on Machine 4 duration 21 mins. Job 4 consists of the following Operations: Operation 0 on Machine 3 duration 72 mins. Operation 1 on Machine 1 duration 90 mins. Operation 2 on Machine 0 duration 2 mins. Operation 3 on Machine 6 duration 58 mins. Operation 4 on Machine 5 duration 81 mins. Operation 5 on Machine 2 duration 60 mins. Operation 6 on Machine 4 duration 20 mins. Job 5 consists of the following Operations: Operation 0 on Machine 3 duration 74 mins. Operation 1 on Machine 0 duration 44 mins. Operation 2 on Machine 2 duration 36 mins. Operation 3 on Machine 5 duration 25 mins. Operation 4 on Machine 1 duration 94 mins. Operation 5 on Machine 6 duration 89 mins. Operation 6 on Machine 4 duration 78 mins. Job 6 consists of the following Operations: Operation 0 on Machine 3 duration 70 mins. Operation 1 on Machine 2 duration 6 mins. Operation 2 on Machine 6 duration 19 mins. Operation 3 on Machine 5 duration 80 mins. Operation 4 on Machine 1 duration 8 mins. Operation 5 on Machine 0 duration 38 mins. Operation 6 on Machine 4 duration 93 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 0 Operation 0 duration 35 mins. Job 1 Operation 0 duration 61 mins. Job 2 Operation 0 duration 5 mins. Job 3 Operation 1 duration 51 mins. Job 5 Operation 1 duration 44 mins. Job 4 Operation 2 duration 2 mins. Job 6 Operation 5 duration 38 mins. Machine 1 is used for the following Operations: Job 4 Operation 1 duration 90 mins. Job 0 Operation 2 duration 16 mins. Job 1 Operation 4 duration 57 mins. Job 2 Operation 4 duration 46 mins. Job 3 Operation 4 duration 5 mins. Job 5 Operation 4 duration 94 mins. Job 6 Operation 4 duration 8 mins. Machine 2 is used for the following Operations: Job 6 Operation 1 duration 6 mins. Job 5 Operation 2 duration 36 mins. Job 1 Operation 3 duration 84 mins. Job 3 Operation 3 duration 3 mins. Job 0 Operation 5 duration 74 mins. Job 4 Operation 5 duration 60 mins. Job 2 Operation 6 duration 10 mins. Machine 3 is used for the following Operations: Job 3 Operation 0 duration 19 mins. Job 4 Operation 0 duration 72 mins. Job 5 Operation 0 duration 74 mins. Job 6 Operation 0 duration 70 mins. Job 0 Operation 3 duration 90 mins. Job 2 Operation 5 duration 87 mins. Job 1 Operation 6 duration 66 mins. Machine 4 is used for the following Operations: Job 2 Operation 1 duration 71 mins. Job 1 Operation 2 duration 65 mins. Job 0 Operation 4 duration 85 mins. Job 3 Operation 6 duration 21 mins. Job 4 Operation 6 duration 20 mins. Job 5 Operation 6 duration 78 mins. Job 6 Operation 6 duration 93 mins. Machine 5 is used for the following Operations: Job 1 Operation 1 duration 62 mins. Job 2 Operation 2 duration 44 mins. Job 5 Operation 3 duration 25 mins. Job 6 Operation 3 duration 80 mins. Job 4 Operation 4 duration 81 mins. Job 3 Operation 5 duration 74 mins. Job 0 Operation 6 duration 13 mins. Machine 6 is used for the following Operations: Job 0 Operation 1 duration 53 mins. Job 3 Operation 2 duration 84 mins. Job 6 Operation 2 duration 19 mins. Job 2 Operation 3 duration 5 mins. Job 4 Operation 3 duration 58 mins. Job 1 Operation 5 duration 77 mins. Job 5 Operation 5 duration 89 mins.
Solution: Job 2 Operation 0 on Machine 0 : 0 + 5 -> 5 Job 6 Operation 0 on Machine 3 : 0 + 70 -> 70 Job 1 Operation 0 on Machine 0 : 5 + 61 -> 66 Job 2 Operation 1 on Machine 4 : 5 + 71 -> 76 Job 0 Operation 0 on Machine 0 : 66 + 35 -> 101 Job 1 Operation 1 on Machine 5 : 66 + 62 -> 128 Job 6 Operation 1 on Machine 2 : 70 + 6 -> 76 Job 4 Operation 0 on Machine 3 : 70 + 72 -> 142 Job 6 Operation 2 on Machine 6 : 76 + 19 -> 95 Job 0 Operation 1 on Machine 6 : 101 + 53 -> 154 Job 1 Operation 2 on Machine 4 : 128 + 65 -> 193 Job 6 Operation 3 on Machine 5 : 128 + 80 -> 208 Job 4 Operation 1 on Machine 1 : 142 + 90 -> 232 Job 3 Operation 0 on Machine 3 : 142 + 19 -> 161 Job 3 Operation 1 on Machine 0 : 161 + 51 -> 212 Job 5 Operation 0 on Machine 3 : 161 + 74 -> 235 Job 1 Operation 3 on Machine 2 : 193 + 84 -> 277 Job 2 Operation 2 on Machine 5 : 208 + 44 -> 252 Job 3 Operation 2 on Machine 6 : 212 + 84 -> 296 Job 4 Operation 2 on Machine 0 : 232 + 2 -> 234 Job 0 Operation 2 on Machine 1 : 232 + 16 -> 248 Job 5 Operation 1 on Machine 0 : 235 + 44 -> 279 Job 6 Operation 4 on Machine 1 : 248 + 8 -> 256 Job 0 Operation 3 on Machine 3 : 248 + 90 -> 338 Job 1 Operation 4 on Machine 1 : 277 + 57 -> 334 Job 6 Operation 5 on Machine 0 : 279 + 38 -> 317 Job 5 Operation 2 on Machine 2 : 279 + 36 -> 315 Job 4 Operation 3 on Machine 6 : 296 + 58 -> 354 Job 3 Operation 3 on Machine 2 : 315 + 3 -> 318 Job 5 Operation 3 on Machine 5 : 315 + 25 -> 340 Job 6 Operation 6 on Machine 4 : 317 + 93 -> 410 Job 3 Operation 4 on Machine 1 : 334 + 5 -> 339 Job 5 Operation 4 on Machine 1 : 340 + 94 -> 434 Job 4 Operation 4 on Machine 5 : 354 + 81 -> 435 Job 1 Operation 5 on Machine 6 : 354 + 77 -> 431 Job 0 Operation 4 on Machine 4 : 410 + 85 -> 495 Job 1 Operation 6 on Machine 3 : 431 + 66 -> 497 Job 2 Operation 3 on Machine 6 : 431 + 5 -> 436 Job 4 Operation 5 on Machine 2 : 435 + 60 -> 495 Job 3 Operation 5 on Machine 5 : 435 + 74 -> 509 Job 2 Operation 4 on Machine 1 : 436 + 46 -> 482 Job 5 Operation 5 on Machine 6 : 436 + 89 -> 525 Job 0 Operation 5 on Machine 2 : 495 + 74 -> 569 Job 4 Operation 6 on Machine 4 : 495 + 20 -> 515 Job 2 Operation 5 on Machine 3 : 497 + 87 -> 584 Job 3 Operation 6 on Machine 4 : 515 + 21 -> 536 Job 5 Operation 6 on Machine 4 : 536 + 78 -> 614 Job 0 Operation 6 on Machine 5 : 569 + 13 -> 582 Job 2 Operation 6 on Machine 2 : 584 + 10 -> 594 Makespan: 614.0, 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 1 duration 422 mins. Operation 1 on Machine 2 duration 314 mins. Operation 2 on Machine 0 duration 414 mins. Job 1 consists of the following Operations: Operation 0 on Machine 2 duration 320 mins. Operation 1 on Machine 0 duration 182 mins. Operation 2 on Machine 1 duration 117 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 55 mins. Operation 1 on Machine 1 duration 128 mins. Operation 2 on Machine 2 duration 293 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 55 mins. Job 1 Operation 1 duration 182 mins. Job 0 Operation 2 duration 414 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 422 mins. Job 2 Operation 1 duration 128 mins. Job 1 Operation 2 duration 117 mins. Machine 2 is used for the following Operations: Job 1 Operation 0 duration 320 mins. Job 0 Operation 1 duration 314 mins. Job 2 Operation 2 duration 293 mins.
Solution: Job 2 Operation 0 on Machine 0 : 0 + 55 -> 55 Job 0 Operation 0 on Machine 1 : 0 + 422 -> 422 Job 1 Operation 0 on Machine 2 : 0 + 320 -> 320 Job 1 Operation 1 on Machine 0 : 320 + 182 -> 502 Job 2 Operation 1 on Machine 1 : 422 + 128 -> 550 Job 0 Operation 1 on Machine 2 : 422 + 314 -> 736 Job 1 Operation 2 on Machine 1 : 550 + 117 -> 667 Job 0 Operation 2 on Machine 0 : 736 + 414 -> 1150 Job 2 Operation 2 on Machine 2 : 736 + 293 -> 1029 Makespan: 1150.0, as it is the maximum end completion time of Operation 2
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 208 mins. Operation 1 on Machine 0 duration 239 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 48 mins. Operation 1 on Machine 1 duration 199 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 10 mins. Operation 1 on Machine 1 duration 224 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 235 mins. Operation 1 on Machine 1 duration 96 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 101 mins. Operation 1 on Machine 1 duration 111 mins. Job 5 consists of the following Operations: Operation 0 on Machine 1 duration 151 mins. Operation 1 on Machine 0 duration 166 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 1 Operation 0 duration 48 mins. Job 2 Operation 0 duration 10 mins. Job 3 Operation 0 duration 235 mins. Job 4 Operation 0 duration 101 mins. Job 0 Operation 1 duration 239 mins. Job 5 Operation 1 duration 166 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 208 mins. Job 5 Operation 0 duration 151 mins. Job 1 Operation 1 duration 199 mins. Job 2 Operation 1 duration 224 mins. Job 3 Operation 1 duration 96 mins. Job 4 Operation 1 duration 111 mins.
Solution: Job 2 Operation 0 on Machine 0 : 0 + 10 -> 10 Job 5 Operation 0 on Machine 1 : 0 + 151 -> 151 Job 1 Operation 0 on Machine 0 : 10 + 48 -> 58 Job 4 Operation 0 on Machine 0 : 58 + 101 -> 159 Job 1 Operation 1 on Machine 1 : 151 + 199 -> 350 Job 5 Operation 1 on Machine 0 : 159 + 166 -> 325 Job 3 Operation 0 on Machine 0 : 325 + 235 -> 560 Job 4 Operation 1 on Machine 1 : 350 + 111 -> 461 Job 0 Operation 0 on Machine 1 : 461 + 208 -> 669 Job 0 Operation 1 on Machine 0 : 669 + 239 -> 908 Job 3 Operation 1 on Machine 1 : 669 + 96 -> 765 Job 2 Operation 1 on Machine 1 : 765 + 224 -> 989 Makespan: 989.0, as it is the maximum end completion time of Operation 1
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4
Optimize schedule for 9 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 2 mins. Operation 1 on Machine 2 duration 1 mins. Operation 2 on Machine 1 duration 3 mins. Operation 3 on Machine 3 duration 4 mins. Job 1 consists of the following Operations: Operation 0 on Machine 3 duration 4 mins. Operation 1 on Machine 2 duration 2 mins. Operation 2 on Machine 1 duration 4 mins. Operation 3 on Machine 0 duration 3 mins. Job 2 consists of the following Operations: Operation 0 on Machine 1 duration 3 mins. Operation 1 on Machine 3 duration 3 mins. Operation 2 on Machine 0 duration 1 mins. Operation 3 on Machine 2 duration 4 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 1 mins. Operation 1 on Machine 2 duration 2 mins. Operation 2 on Machine 3 duration 4 mins. Operation 3 on Machine 1 duration 3 mins. Job 4 consists of the following Operations: Operation 0 on Machine 3 duration 1 mins. Operation 1 on Machine 2 duration 4 mins. Operation 2 on Machine 0 duration 3 mins. Operation 3 on Machine 1 duration 2 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 1 mins. Operation 1 on Machine 1 duration 3 mins. Operation 2 on Machine 2 duration 4 mins. Operation 3 on Machine 3 duration 2 mins. Job 6 consists of the following Operations: Operation 0 on Machine 1 duration 2 mins. Operation 1 on Machine 3 duration 1 mins. Operation 2 on Machine 2 duration 1 mins. Operation 3 on Machine 0 duration 2 mins. Job 7 consists of the following Operations: Operation 0 on Machine 0 duration 2 mins. Operation 1 on Machine 1 duration 4 mins. Operation 2 on Machine 2 duration 1 mins. Operation 3 on Machine 3 duration 1 mins. Job 8 consists of the following Operations: Operation 0 on Machine 0 duration 3 mins. Operation 1 on Machine 3 duration 1 mins. Operation 2 on Machine 1 duration 4 mins. Operation 3 on Machine 2 duration 2 mins.
Optimize schedule for 9 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 2 mins. Job 3 Operation 0 duration 1 mins. Job 5 Operation 0 duration 1 mins. Job 7 Operation 0 duration 2 mins. Job 8 Operation 0 duration 3 mins. Job 2 Operation 2 duration 1 mins. Job 4 Operation 2 duration 3 mins. Job 1 Operation 3 duration 3 mins. Job 6 Operation 3 duration 2 mins. Machine 1 is used for the following Operations: Job 2 Operation 0 duration 3 mins. Job 6 Operation 0 duration 2 mins. Job 5 Operation 1 duration 3 mins. Job 7 Operation 1 duration 4 mins. Job 0 Operation 2 duration 3 mins. Job 1 Operation 2 duration 4 mins. Job 8 Operation 2 duration 4 mins. Job 3 Operation 3 duration 3 mins. Job 4 Operation 3 duration 2 mins. Machine 2 is used for the following Operations: Job 0 Operation 1 duration 1 mins. Job 1 Operation 1 duration 2 mins. Job 3 Operation 1 duration 2 mins. Job 4 Operation 1 duration 4 mins. Job 5 Operation 2 duration 4 mins. Job 6 Operation 2 duration 1 mins. Job 7 Operation 2 duration 1 mins. Job 2 Operation 3 duration 4 mins. Job 8 Operation 3 duration 2 mins. Machine 3 is used for the following Operations: Job 1 Operation 0 duration 4 mins. Job 4 Operation 0 duration 1 mins. Job 2 Operation 1 duration 3 mins. Job 6 Operation 1 duration 1 mins. Job 8 Operation 1 duration 1 mins. Job 3 Operation 2 duration 4 mins. Job 0 Operation 3 duration 4 mins. Job 5 Operation 3 duration 2 mins. Job 7 Operation 3 duration 1 mins.
Solution: Job 3 Operation 0 on Machine 0 : 0 + 1 -> 1 Job 2 Operation 0 on Machine 1 : 0 + 3 -> 3 Job 1 Operation 0 on Machine 3 : 0 + 4 -> 4 Job 5 Operation 0 on Machine 0 : 1 + 1 -> 2 Job 3 Operation 1 on Machine 2 : 1 + 2 -> 3 Job 0 Operation 0 on Machine 0 : 2 + 2 -> 4 Job 5 Operation 1 on Machine 1 : 3 + 3 -> 6 Job 8 Operation 0 on Machine 0 : 4 + 3 -> 7 Job 1 Operation 1 on Machine 2 : 4 + 2 -> 6 Job 2 Operation 1 on Machine 3 : 4 + 3 -> 7 Job 1 Operation 2 on Machine 1 : 6 + 4 -> 10 Job 0 Operation 1 on Machine 2 : 6 + 1 -> 7 Job 2 Operation 2 on Machine 0 : 7 + 1 -> 8 Job 8 Operation 1 on Machine 3 : 7 + 1 -> 8 Job 7 Operation 0 on Machine 0 : 8 + 2 -> 10 Job 2 Operation 3 on Machine 2 : 8 + 4 -> 12 Job 4 Operation 0 on Machine 3 : 8 + 1 -> 9 Job 3 Operation 2 on Machine 3 : 9 + 4 -> 13 Job 1 Operation 3 on Machine 0 : 10 + 3 -> 13 Job 0 Operation 2 on Machine 1 : 10 + 3 -> 13 Job 5 Operation 2 on Machine 2 : 12 + 4 -> 16 Job 7 Operation 1 on Machine 1 : 13 + 4 -> 17 Job 0 Operation 3 on Machine 3 : 13 + 4 -> 17 Job 3 Operation 3 on Machine 1 : 17 + 3 -> 20 Job 7 Operation 2 on Machine 2 : 17 + 1 -> 18 Job 4 Operation 1 on Machine 2 : 18 + 4 -> 22 Job 7 Operation 3 on Machine 3 : 18 + 1 -> 19 Job 5 Operation 3 on Machine 3 : 19 + 2 -> 21 Job 6 Operation 0 on Machine 1 : 20 + 2 -> 22 Job 4 Operation 2 on Machine 0 : 22 + 3 -> 25 Job 8 Operation 2 on Machine 1 : 22 + 4 -> 26 Job 6 Operation 1 on Machine 3 : 22 + 1 -> 23 Job 6 Operation 2 on Machine 2 : 23 + 1 -> 24 Job 6 Operation 3 on Machine 0 : 25 + 2 -> 27 Job 4 Operation 3 on Machine 1 : 26 + 2 -> 28 Job 8 Operation 3 on Machine 2 : 26 + 2 -> 28 Makespan: 28.0, as it is the maximum end completion time of Operation 3
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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 125 mins. Operation 1 on Machine 1 duration 110 mins. Job 1 consists of the following Operations: Operation 0 on Machine 1 duration 38 mins. Operation 1 on Machine 0 duration 81 mins. Job 2 consists of the following Operations: Operation 0 on Machine 1 duration 142 mins. Operation 1 on Machine 0 duration 86 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 15 mins. Operation 1 on Machine 1 duration 158 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 146 mins. Operation 1 on Machine 1 duration 93 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 184 mins. Operation 1 on Machine 1 duration 37 mins. Job 6 consists of the following Operations: Operation 0 on Machine 0 duration 170 mins. Operation 1 on Machine 1 duration 10 mins. Job 7 consists of the following Operations: Operation 0 on Machine 0 duration 31 mins. Operation 1 on Machine 1 duration 78 mins. Job 8 consists of the following Operations: Operation 0 on Machine 1 duration 15 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 0 Operation 0 duration 125 mins. Job 3 Operation 0 duration 15 mins. Job 4 Operation 0 duration 146 mins. Job 5 Operation 0 duration 184 mins. Job 6 Operation 0 duration 170 mins. Job 7 Operation 0 duration 31 mins. Job 1 Operation 1 duration 81 mins. Job 2 Operation 1 duration 86 mins. Job 8 Operation 1 duration 22 mins. Machine 1 is used for the following Operations: Job 1 Operation 0 duration 38 mins. Job 2 Operation 0 duration 142 mins. Job 8 Operation 0 duration 15 mins. Job 0 Operation 1 duration 110 mins. Job 3 Operation 1 duration 158 mins. Job 4 Operation 1 duration 93 mins. Job 5 Operation 1 duration 37 mins. Job 6 Operation 1 duration 10 mins. Job 7 Operation 1 duration 78 mins.
Solution: Job 3 Operation 0 on Machine 0 : 0 + 15 -> 15 Job 8 Operation 0 on Machine 1 : 0 + 15 -> 15 Job 6 Operation 0 on Machine 0 : 15 + 170 -> 185 Job 3 Operation 1 on Machine 1 : 15 + 158 -> 173 Job 4 Operation 0 on Machine 0 : 185 + 146 -> 331 Job 6 Operation 1 on Machine 1 : 185 + 10 -> 195 Job 1 Operation 0 on Machine 1 : 195 + 38 -> 233 Job 8 Operation 1 on Machine 0 : 331 + 22 -> 353 Job 4 Operation 1 on Machine 1 : 331 + 93 -> 424 Job 7 Operation 0 on Machine 0 : 353 + 31 -> 384 Job 1 Operation 1 on Machine 0 : 384 + 81 -> 465 Job 7 Operation 1 on Machine 1 : 424 + 78 -> 502 Job 0 Operation 0 on Machine 0 : 465 + 125 -> 590 Job 2 Operation 0 on Machine 1 : 502 + 142 -> 644 Job 5 Operation 0 on Machine 0 : 590 + 184 -> 774 Job 0 Operation 1 on Machine 1 : 644 + 110 -> 754 Job 2 Operation 1 on Machine 0 : 774 + 86 -> 860 Job 5 Operation 1 on Machine 1 : 774 + 37 -> 811 Makespan: 860.0, as it is the maximum end completion time of Operation 1
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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 1 duration 110 mins. Operation 1 on Machine 3 duration 104 mins. Operation 2 on Machine 0 duration 229 mins. Operation 3 on Machine 2 duration 320 mins. Job 1 consists of the following Operations: Operation 0 on Machine 3 duration 173 mins. Operation 1 on Machine 2 duration 340 mins. Operation 2 on Machine 0 duration 235 mins. Operation 3 on Machine 1 duration 302 mins. Job 2 consists of the following Operations: Operation 0 on Machine 1 duration 399 mins. Operation 1 on Machine 3 duration 299 mins. Operation 2 on Machine 0 duration 104 mins. Operation 3 on Machine 2 duration 332 mins. Job 3 consists of the following Operations: Operation 0 on Machine 1 duration 144 mins. Operation 1 on Machine 3 duration 404 mins. Operation 2 on Machine 2 duration 320 mins. Operation 3 on Machine 0 duration 62 mins. Job 4 consists of the following Operations: Operation 0 on Machine 3 duration 28 mins. Operation 1 on Machine 1 duration 443 mins. Operation 2 on Machine 0 duration 80 mins. Operation 3 on Machine 2 duration 362 mins. Job 5 consists of the following Operations: Operation 0 on Machine 3 duration 8 mins. Operation 1 on Machine 1 duration 23 mins. Operation 2 on Machine 0 duration 353 mins. Operation 3 on Machine 2 duration 337 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 0 Operation 2 duration 229 mins. Job 1 Operation 2 duration 235 mins. Job 2 Operation 2 duration 104 mins. Job 4 Operation 2 duration 80 mins. Job 5 Operation 2 duration 353 mins. Job 3 Operation 3 duration 62 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 110 mins. Job 2 Operation 0 duration 399 mins. Job 3 Operation 0 duration 144 mins. Job 4 Operation 1 duration 443 mins. Job 5 Operation 1 duration 23 mins. Job 1 Operation 3 duration 302 mins. Machine 2 is used for the following Operations: Job 1 Operation 1 duration 340 mins. Job 3 Operation 2 duration 320 mins. Job 0 Operation 3 duration 320 mins. Job 2 Operation 3 duration 332 mins. Job 4 Operation 3 duration 362 mins. Job 5 Operation 3 duration 337 mins. Machine 3 is used for the following Operations: Job 1 Operation 0 duration 173 mins. Job 4 Operation 0 duration 28 mins. Job 5 Operation 0 duration 8 mins. Job 0 Operation 1 duration 104 mins. Job 2 Operation 1 duration 299 mins. Job 3 Operation 1 duration 404 mins.
Solution: Job 0 Operation 0 on Machine 1 : 0 + 110 -> 110 Job 1 Operation 0 on Machine 3 : 0 + 173 -> 173 Job 3 Operation 0 on Machine 1 : 110 + 144 -> 254 Job 1 Operation 1 on Machine 2 : 173 + 340 -> 513 Job 0 Operation 1 on Machine 3 : 173 + 104 -> 277 Job 2 Operation 0 on Machine 1 : 254 + 399 -> 653 Job 0 Operation 2 on Machine 0 : 277 + 229 -> 506 Job 4 Operation 0 on Machine 3 : 277 + 28 -> 305 Job 3 Operation 1 on Machine 3 : 305 + 404 -> 709 Job 1 Operation 2 on Machine 0 : 513 + 235 -> 748 Job 0 Operation 3 on Machine 2 : 513 + 320 -> 833 Job 4 Operation 1 on Machine 1 : 653 + 443 -> 1096 Job 2 Operation 1 on Machine 3 : 709 + 299 -> 1008 Job 3 Operation 2 on Machine 2 : 833 + 320 -> 1153 Job 2 Operation 2 on Machine 0 : 1008 + 104 -> 1112 Job 5 Operation 0 on Machine 3 : 1008 + 8 -> 1016 Job 1 Operation 3 on Machine 1 : 1096 + 302 -> 1398 Job 3 Operation 3 on Machine 0 : 1153 + 62 -> 1215 Job 2 Operation 3 on Machine 2 : 1153 + 332 -> 1485 Job 4 Operation 2 on Machine 0 : 1215 + 80 -> 1295 Job 5 Operation 1 on Machine 1 : 1398 + 23 -> 1421 Job 5 Operation 2 on Machine 0 : 1421 + 353 -> 1774 Job 4 Operation 3 on Machine 2 : 1485 + 362 -> 1847 Job 5 Operation 3 on Machine 2 : 1847 + 337 -> 2184 Makespan: 2184.0, as it is the maximum end completion time of Operation 3
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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 6 duration 128 mins. Operation 1 on Machine 2 duration 242 mins. Operation 2 on Machine 3 duration 188 mins. Operation 3 on Machine 0 duration 111 mins. Operation 4 on Machine 5 duration 277 mins. Operation 5 on Machine 4 duration 184 mins. Operation 6 on Machine 7 duration 324 mins. Operation 7 on Machine 1 duration 27 mins. Job 1 consists of the following Operations: Operation 0 on Machine 3 duration 344 mins. Operation 1 on Machine 7 duration 242 mins. Operation 2 on Machine 1 duration 67 mins. Operation 3 on Machine 6 duration 338 mins. Operation 4 on Machine 4 duration 24 mins. Operation 5 on Machine 2 duration 39 mins. Operation 6 on Machine 0 duration 190 mins. Operation 7 on Machine 5 duration 173 mins. Job 2 consists of the following Operations: Operation 0 on Machine 7 duration 155 mins. Operation 1 on Machine 5 duration 193 mins. Operation 2 on Machine 6 duration 343 mins. Operation 3 on Machine 3 duration 306 mins. Operation 4 on Machine 4 duration 52 mins. Operation 5 on Machine 1 duration 81 mins. Operation 6 on Machine 0 duration 271 mins. Operation 7 on Machine 2 duration 114 mins. Job 3 consists of the following Operations: Operation 0 on Machine 4 duration 262 mins. Operation 1 on Machine 2 duration 254 mins. Operation 2 on Machine 0 duration 164 mins. Operation 3 on Machine 3 duration 250 mins. Operation 4 on Machine 6 duration 270 mins. Operation 5 on Machine 5 duration 310 mins. Operation 6 on Machine 1 duration 19 mins. Operation 7 on Machine 7 duration 117 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 224 mins. Operation 1 on Machine 3 duration 123 mins. Operation 2 on Machine 4 duration 269 mins. Operation 3 on Machine 2 duration 168 mins. Operation 4 on Machine 6 duration 20 mins. Operation 5 on Machine 7 duration 167 mins. Operation 6 on Machine 1 duration 348 mins. Operation 7 on Machine 5 duration 62 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 175 mins. Operation 1 on Machine 2 duration 333 mins. Operation 2 on Machine 6 duration 147 mins. Operation 3 on Machine 3 duration 97 mins. Operation 4 on Machine 4 duration 298 mins. Operation 5 on Machine 7 duration 73 mins. Operation 6 on Machine 5 duration 43 mins. Operation 7 on Machine 1 duration 154 mins. Job 6 consists of the following Operations: Operation 0 on Machine 5 duration 161 mins. Operation 1 on Machine 2 duration 273 mins. Operation 2 on Machine 4 duration 272 mins. Operation 3 on Machine 0 duration 218 mins. Operation 4 on Machine 1 duration 311 mins. Operation 5 on Machine 7 duration 58 mins. Operation 6 on Machine 6 duration 310 mins. Operation 7 on Machine 3 duration 187 mins. Job 7 consists of the following Operations: Operation 0 on Machine 4 duration 349 mins. Operation 1 on Machine 0 duration 36 mins. Operation 2 on Machine 3 duration 171 mins. Operation 3 on Machine 5 duration 324 mins. Operation 4 on Machine 6 duration 152 mins. Operation 5 on Machine 7 duration 114 mins. Operation 6 on Machine 1 duration 291 mins. Operation 7 on Machine 2 duration 42 mins. Job 8 consists of the following Operations: Operation 0 on Machine 0 duration 285 mins. Operation 1 on Machine 7 duration 270 mins. Operation 2 on Machine 5 duration 13 mins. Operation 3 on Machine 1 duration 117 mins. Operation 4 on Machine 4 duration 172 mins. Operation 5 on Machine 3 duration 63 mins. Operation 6 on Machine 2 duration 318 mins. Operation 7 on Machine 6 duration 246 mins. Job 9 consists of the following Operations: Operation 0 on Machine 6 duration 227 mins. Operation 1 on Machine 0 duration 334 mins. Operation 2 on Machine 2 duration 115 mins. Operation 3 on Machine 1 duration 215 mins. Operation 4 on Machine 5 duration 125 mins. Operation 5 on Machine 3 duration 114 mins. Operation 6 on Machine 7 duration 246 mins. Operation 7 on Machine 4 duration 334 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 4 Operation 0 duration 224 mins. Job 5 Operation 0 duration 175 mins. Job 8 Operation 0 duration 285 mins. Job 7 Operation 1 duration 36 mins. Job 9 Operation 1 duration 334 mins. Job 3 Operation 2 duration 164 mins. Job 0 Operation 3 duration 111 mins. Job 6 Operation 3 duration 218 mins. Job 1 Operation 6 duration 190 mins. Job 2 Operation 6 duration 271 mins. Machine 1 is used for the following Operations: Job 1 Operation 2 duration 67 mins. Job 8 Operation 3 duration 117 mins. Job 9 Operation 3 duration 215 mins. Job 6 Operation 4 duration 311 mins. Job 2 Operation 5 duration 81 mins. Job 3 Operation 6 duration 19 mins. Job 4 Operation 6 duration 348 mins. Job 7 Operation 6 duration 291 mins. Job 0 Operation 7 duration 27 mins. Job 5 Operation 7 duration 154 mins. Machine 2 is used for the following Operations: Job 0 Operation 1 duration 242 mins. Job 3 Operation 1 duration 254 mins. Job 5 Operation 1 duration 333 mins. Job 6 Operation 1 duration 273 mins. Job 9 Operation 2 duration 115 mins. Job 4 Operation 3 duration 168 mins. Job 1 Operation 5 duration 39 mins. Job 8 Operation 6 duration 318 mins. Job 2 Operation 7 duration 114 mins. Job 7 Operation 7 duration 42 mins. Machine 3 is used for the following Operations: Job 1 Operation 0 duration 344 mins. Job 4 Operation 1 duration 123 mins. Job 0 Operation 2 duration 188 mins. Job 7 Operation 2 duration 171 mins. Job 2 Operation 3 duration 306 mins. Job 3 Operation 3 duration 250 mins. Job 5 Operation 3 duration 97 mins. Job 8 Operation 5 duration 63 mins. Job 9 Operation 5 duration 114 mins. Job 6 Operation 7 duration 187 mins. Machine 4 is used for the following Operations: Job 3 Operation 0 duration 262 mins. Job 7 Operation 0 duration 349 mins. Job 4 Operation 2 duration 269 mins. Job 6 Operation 2 duration 272 mins. Job 1 Operation 4 duration 24 mins. Job 2 Operation 4 duration 52 mins. Job 5 Operation 4 duration 298 mins. Job 8 Operation 4 duration 172 mins. Job 0 Operation 5 duration 184 mins. Job 9 Operation 7 duration 334 mins. Machine 5 is used for the following Operations: Job 6 Operation 0 duration 161 mins. Job 2 Operation 1 duration 193 mins. Job 8 Operation 2 duration 13 mins. Job 7 Operation 3 duration 324 mins. Job 0 Operation 4 duration 277 mins. Job 9 Operation 4 duration 125 mins. Job 3 Operation 5 duration 310 mins. Job 5 Operation 6 duration 43 mins. Job 1 Operation 7 duration 173 mins. Job 4 Operation 7 duration 62 mins. Machine 6 is used for the following Operations: Job 0 Operation 0 duration 128 mins. Job 9 Operation 0 duration 227 mins. Job 2 Operation 2 duration 343 mins. Job 5 Operation 2 duration 147 mins. Job 1 Operation 3 duration 338 mins. Job 3 Operation 4 duration 270 mins. Job 4 Operation 4 duration 20 mins. Job 7 Operation 4 duration 152 mins. Job 6 Operation 6 duration 310 mins. Job 8 Operation 7 duration 246 mins. Machine 7 is used for the following Operations: Job 2 Operation 0 duration 155 mins. Job 1 Operation 1 duration 242 mins. Job 8 Operation 1 duration 270 mins. Job 4 Operation 5 duration 167 mins. Job 5 Operation 5 duration 73 mins. Job 6 Operation 5 duration 58 mins. Job 7 Operation 5 duration 114 mins. Job 0 Operation 6 duration 324 mins. Job 9 Operation 6 duration 246 mins. Job 3 Operation 7 duration 117 mins.
Solution: Job 8 Operation 0 on Machine 0 : 0 + 285 -> 285 Job 1 Operation 0 on Machine 3 : 0 + 344 -> 344 Job 7 Operation 0 on Machine 4 : 0 + 349 -> 349 Job 6 Operation 0 on Machine 5 : 0 + 161 -> 161 Job 0 Operation 0 on Machine 6 : 0 + 128 -> 128 Job 2 Operation 0 on Machine 7 : 0 + 155 -> 155 Job 0 Operation 1 on Machine 2 : 128 + 242 -> 370 Job 9 Operation 0 on Machine 6 : 128 + 227 -> 355 Job 2 Operation 1 on Machine 5 : 161 + 193 -> 354 Job 8 Operation 1 on Machine 7 : 285 + 270 -> 555 Job 7 Operation 1 on Machine 0 : 349 + 36 -> 385 Job 3 Operation 0 on Machine 4 : 349 + 262 -> 611 Job 2 Operation 2 on Machine 6 : 355 + 343 -> 698 Job 6 Operation 1 on Machine 2 : 370 + 273 -> 643 Job 9 Operation 1 on Machine 0 : 385 + 334 -> 719 Job 7 Operation 2 on Machine 3 : 385 + 171 -> 556 Job 8 Operation 2 on Machine 5 : 555 + 13 -> 568 Job 1 Operation 1 on Machine 7 : 555 + 242 -> 797 Job 0 Operation 2 on Machine 3 : 556 + 188 -> 744 Job 8 Operation 3 on Machine 1 : 568 + 117 -> 685 Job 7 Operation 3 on Machine 5 : 568 + 324 -> 892 Job 8 Operation 4 on Machine 4 : 685 + 172 -> 857 Job 4 Operation 0 on Machine 0 : 719 + 224 -> 943 Job 9 Operation 2 on Machine 2 : 719 + 115 -> 834 Job 2 Operation 3 on Machine 3 : 744 + 306 -> 1050 Job 1 Operation 2 on Machine 1 : 797 + 67 -> 864 Job 3 Operation 1 on Machine 2 : 834 + 254 -> 1088 Job 6 Operation 2 on Machine 4 : 857 + 272 -> 1129 Job 9 Operation 3 on Machine 1 : 864 + 215 -> 1079 Job 7 Operation 4 on Machine 6 : 892 + 152 -> 1044 Job 5 Operation 0 on Machine 0 : 943 + 175 -> 1118 Job 1 Operation 3 on Machine 6 : 1044 + 338 -> 1382 Job 7 Operation 5 on Machine 7 : 1044 + 114 -> 1158 Job 4 Operation 1 on Machine 3 : 1050 + 123 -> 1173 Job 9 Operation 4 on Machine 5 : 1079 + 125 -> 1204 Job 0 Operation 3 on Machine 0 : 1118 + 111 -> 1229 Job 5 Operation 1 on Machine 2 : 1118 + 333 -> 1451 Job 7 Operation 6 on Machine 1 : 1158 + 291 -> 1449 Job 4 Operation 2 on Machine 4 : 1173 + 269 -> 1442 Job 9 Operation 5 on Machine 3 : 1204 + 114 -> 1318 Job 3 Operation 2 on Machine 0 : 1229 + 164 -> 1393 Job 0 Operation 4 on Machine 5 : 1229 + 277 -> 1506 Job 9 Operation 6 on Machine 7 : 1318 + 246 -> 1564 Job 6 Operation 3 on Machine 0 : 1393 + 218 -> 1611 Job 3 Operation 3 on Machine 3 : 1393 + 250 -> 1643 Job 1 Operation 4 on Machine 4 : 1442 + 24 -> 1466 Job 5 Operation 2 on Machine 6 : 1451 + 147 -> 1598 Job 1 Operation 5 on Machine 2 : 1466 + 39 -> 1505 Job 2 Operation 4 on Machine 4 : 1466 + 52 -> 1518 Job 4 Operation 3 on Machine 2 : 1505 + 168 -> 1673 Job 2 Operation 5 on Machine 1 : 1518 + 81 -> 1599 Job 0 Operation 5 on Machine 4 : 1518 + 184 -> 1702 Job 1 Operation 6 on Machine 0 : 1611 + 190 -> 1801 Job 6 Operation 4 on Machine 1 : 1611 + 311 -> 1922 Job 5 Operation 3 on Machine 3 : 1643 + 97 -> 1740 Job 7 Operation 7 on Machine 2 : 1673 + 42 -> 1715 Job 4 Operation 4 on Machine 6 : 1673 + 20 -> 1693 Job 3 Operation 4 on Machine 6 : 1693 + 270 -> 1963 Job 4 Operation 5 on Machine 7 : 1693 + 167 -> 1860 Job 8 Operation 5 on Machine 3 : 1740 + 63 -> 1803 Job 5 Operation 4 on Machine 4 : 1740 + 298 -> 2038 Job 2 Operation 6 on Machine 0 : 1801 + 271 -> 2072 Job 1 Operation 7 on Machine 5 : 1801 + 173 -> 1974 Job 8 Operation 6 on Machine 2 : 1803 + 318 -> 2121 Job 4 Operation 6 on Machine 1 : 1922 + 348 -> 2270 Job 6 Operation 5 on Machine 7 : 1922 + 58 -> 1980 Job 3 Operation 5 on Machine 5 : 1974 + 310 -> 2284 Job 6 Operation 6 on Machine 6 : 1980 + 310 -> 2290 Job 9 Operation 7 on Machine 4 : 2038 + 334 -> 2372 Job 5 Operation 5 on Machine 7 : 2038 + 73 -> 2111 Job 0 Operation 6 on Machine 7 : 2111 + 324 -> 2435 Job 2 Operation 7 on Machine 2 : 2121 + 114 -> 2235 Job 3 Operation 6 on Machine 1 : 2284 + 19 -> 2303 Job 5 Operation 6 on Machine 5 : 2284 + 43 -> 2327 Job 6 Operation 7 on Machine 3 : 2290 + 187 -> 2477 Job 8 Operation 7 on Machine 6 : 2290 + 246 -> 2536 Job 5 Operation 7 on Machine 1 : 2327 + 154 -> 2481 Job 4 Operation 7 on Machine 5 : 2327 + 62 -> 2389 Job 3 Operation 7 on Machine 7 : 2435 + 117 -> 2552 Job 0 Operation 7 on Machine 1 : 2481 + 27 -> 2508 Makespan: 2552.0, as it is the maximum end completion time of Operation 7
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 2 duration 15 mins. Operation 1 on Machine 0 duration 83 mins. Operation 2 on Machine 1 duration 2 mins. Operation 3 on Machine 3 duration 84 mins. Job 1 consists of the following Operations: Operation 0 on Machine 3 duration 48 mins. Operation 1 on Machine 1 duration 38 mins. Operation 2 on Machine 2 duration 75 mins. Operation 3 on Machine 0 duration 40 mins. Job 2 consists of the following Operations: Operation 0 on Machine 2 duration 77 mins. Operation 1 on Machine 3 duration 12 mins. Operation 2 on Machine 1 duration 43 mins. Operation 3 on Machine 0 duration 94 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 47 mins. Operation 1 on Machine 3 duration 98 mins. Operation 2 on Machine 2 duration 88 mins. Operation 3 on Machine 1 duration 28 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 3 Operation 0 duration 47 mins. Job 0 Operation 1 duration 83 mins. Job 1 Operation 3 duration 40 mins. Job 2 Operation 3 duration 94 mins. Machine 1 is used for the following Operations: Job 1 Operation 1 duration 38 mins. Job 0 Operation 2 duration 2 mins. Job 2 Operation 2 duration 43 mins. Job 3 Operation 3 duration 28 mins. Machine 2 is used for the following Operations: Job 0 Operation 0 duration 15 mins. Job 2 Operation 0 duration 77 mins. Job 1 Operation 2 duration 75 mins. Job 3 Operation 2 duration 88 mins. Machine 3 is used for the following Operations: Job 1 Operation 0 duration 48 mins. Job 2 Operation 1 duration 12 mins. Job 3 Operation 1 duration 98 mins. Job 0 Operation 3 duration 84 mins.
Solution: Job 3 Operation 0 on Machine 0 : 0 + 47 -> 47 Job 0 Operation 0 on Machine 2 : 0 + 15 -> 15 Job 1 Operation 0 on Machine 3 : 0 + 48 -> 48 Job 2 Operation 0 on Machine 2 : 15 + 77 -> 92 Job 0 Operation 1 on Machine 0 : 47 + 83 -> 130 Job 1 Operation 1 on Machine 1 : 48 + 38 -> 86 Job 3 Operation 1 on Machine 3 : 48 + 98 -> 146 Job 1 Operation 2 on Machine 2 : 92 + 75 -> 167 Job 0 Operation 2 on Machine 1 : 130 + 2 -> 132 Job 2 Operation 1 on Machine 3 : 146 + 12 -> 158 Job 2 Operation 2 on Machine 1 : 158 + 43 -> 201 Job 0 Operation 3 on Machine 3 : 158 + 84 -> 242 Job 1 Operation 3 on Machine 0 : 167 + 40 -> 207 Job 3 Operation 2 on Machine 2 : 167 + 88 -> 255 Job 2 Operation 3 on Machine 0 : 207 + 94 -> 301 Job 3 Operation 3 on Machine 1 : 255 + 28 -> 283 Makespan: 301.0, as it is the maximum end completion time of Operation 3
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 130 mins. Operation 1 on Machine 3 duration 91 mins. Operation 2 on Machine 1 duration 4 mins. Operation 3 on Machine 2 duration 30 mins. Operation 4 on Machine 0 duration 68 mins. Job 1 consists of the following Operations: Operation 0 on Machine 2 duration 17 mins. Operation 1 on Machine 0 duration 100 mins. Operation 2 on Machine 4 duration 32 mins. Operation 3 on Machine 3 duration 15 mins. Operation 4 on Machine 1 duration 115 mins. Job 2 consists of the following Operations: Operation 0 on Machine 2 duration 57 mins. Operation 1 on Machine 3 duration 78 mins. Operation 2 on Machine 0 duration 150 mins. Operation 3 on Machine 1 duration 14 mins. Operation 4 on Machine 4 duration 26 mins. Job 3 consists of the following Operations: Operation 0 on Machine 1 duration 112 mins. Operation 1 on Machine 0 duration 52 mins. Operation 2 on Machine 4 duration 110 mins. Operation 3 on Machine 3 duration 120 mins. Operation 4 on Machine 2 duration 22 mins. Job 4 consists of the following Operations: Operation 0 on Machine 4 duration 71 mins. Operation 1 on Machine 3 duration 132 mins. Operation 2 on Machine 1 duration 4 mins. Operation 3 on Machine 0 duration 40 mins. Operation 4 on Machine 2 duration 110 mins. Job 5 consists of the following Operations: Operation 0 on Machine 3 duration 96 mins. Operation 1 on Machine 2 duration 105 mins. Operation 2 on Machine 4 duration 144 mins. Operation 3 on Machine 0 duration 51 mins. Operation 4 on Machine 1 duration 48 mins. Job 6 consists of the following Operations: Operation 0 on Machine 1 duration 12 mins. Operation 1 on Machine 0 duration 35 mins. Operation 2 on Machine 4 duration 141 mins. Operation 3 on Machine 2 duration 70 mins. Operation 4 on Machine 3 duration 95 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 1 Operation 1 duration 100 mins. Job 3 Operation 1 duration 52 mins. Job 6 Operation 1 duration 35 mins. Job 2 Operation 2 duration 150 mins. Job 4 Operation 3 duration 40 mins. Job 5 Operation 3 duration 51 mins. Job 0 Operation 4 duration 68 mins. Machine 1 is used for the following Operations: Job 3 Operation 0 duration 112 mins. Job 6 Operation 0 duration 12 mins. Job 0 Operation 2 duration 4 mins. Job 4 Operation 2 duration 4 mins. Job 2 Operation 3 duration 14 mins. Job 1 Operation 4 duration 115 mins. Job 5 Operation 4 duration 48 mins. Machine 2 is used for the following Operations: Job 1 Operation 0 duration 17 mins. Job 2 Operation 0 duration 57 mins. Job 5 Operation 1 duration 105 mins. Job 0 Operation 3 duration 30 mins. Job 6 Operation 3 duration 70 mins. Job 3 Operation 4 duration 22 mins. Job 4 Operation 4 duration 110 mins. Machine 3 is used for the following Operations: Job 5 Operation 0 duration 96 mins. Job 0 Operation 1 duration 91 mins. Job 2 Operation 1 duration 78 mins. Job 4 Operation 1 duration 132 mins. Job 1 Operation 3 duration 15 mins. Job 3 Operation 3 duration 120 mins. Job 6 Operation 4 duration 95 mins. Machine 4 is used for the following Operations: Job 0 Operation 0 duration 130 mins. Job 4 Operation 0 duration 71 mins. Job 1 Operation 2 duration 32 mins. Job 3 Operation 2 duration 110 mins. Job 5 Operation 2 duration 144 mins. Job 6 Operation 2 duration 141 mins. Job 2 Operation 4 duration 26 mins.
Solution: Job 6 Operation 0 on Machine 1 : 0 + 12 -> 12 Job 1 Operation 0 on Machine 2 : 0 + 17 -> 17 Job 5 Operation 0 on Machine 3 : 0 + 96 -> 96 Job 0 Operation 0 on Machine 4 : 0 + 130 -> 130 Job 3 Operation 0 on Machine 1 : 12 + 112 -> 124 Job 1 Operation 1 on Machine 0 : 17 + 100 -> 117 Job 2 Operation 0 on Machine 2 : 17 + 57 -> 74 Job 5 Operation 1 on Machine 2 : 96 + 105 -> 201 Job 6 Operation 1 on Machine 0 : 117 + 35 -> 152 Job 0 Operation 1 on Machine 3 : 130 + 91 -> 221 Job 1 Operation 2 on Machine 4 : 130 + 32 -> 162 Job 3 Operation 1 on Machine 0 : 152 + 52 -> 204 Job 4 Operation 0 on Machine 4 : 162 + 71 -> 233 Job 0 Operation 2 on Machine 1 : 221 + 4 -> 225 Job 1 Operation 3 on Machine 3 : 221 + 15 -> 236 Job 0 Operation 3 on Machine 2 : 225 + 30 -> 255 Job 3 Operation 2 on Machine 4 : 233 + 110 -> 343 Job 1 Operation 4 on Machine 1 : 236 + 115 -> 351 Job 4 Operation 1 on Machine 3 : 236 + 132 -> 368 Job 0 Operation 4 on Machine 0 : 255 + 68 -> 323 Job 6 Operation 2 on Machine 4 : 343 + 141 -> 484 Job 4 Operation 2 on Machine 1 : 368 + 4 -> 372 Job 2 Operation 1 on Machine 3 : 368 + 78 -> 446 Job 4 Operation 3 on Machine 0 : 372 + 40 -> 412 Job 4 Operation 4 on Machine 2 : 412 + 110 -> 522 Job 2 Operation 2 on Machine 0 : 446 + 150 -> 596 Job 3 Operation 3 on Machine 3 : 446 + 120 -> 566 Job 5 Operation 2 on Machine 4 : 484 + 144 -> 628 Job 6 Operation 3 on Machine 2 : 522 + 70 -> 592 Job 3 Operation 4 on Machine 2 : 592 + 22 -> 614 Job 6 Operation 4 on Machine 3 : 592 + 95 -> 687 Job 2 Operation 3 on Machine 1 : 596 + 14 -> 610 Job 5 Operation 3 on Machine 0 : 628 + 51 -> 679 Job 2 Operation 4 on Machine 4 : 628 + 26 -> 654 Job 5 Operation 4 on Machine 1 : 679 + 48 -> 727 Makespan: 727.0, 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 2 duration 21 mins. Operation 1 on Machine 1 duration 18 mins. Operation 2 on Machine 0 duration 4 mins. Operation 3 on Machine 3 duration 7 mins. Job 1 consists of the following Operations: Operation 0 on Machine 1 duration 6 mins. Operation 1 on Machine 2 duration 29 mins. Operation 2 on Machine 3 duration 45 mins. Operation 3 on Machine 0 duration 27 mins. Job 2 consists of the following Operations: Operation 0 on Machine 2 duration 46 mins. Operation 1 on Machine 1 duration 25 mins. Operation 2 on Machine 3 duration 35 mins. Operation 3 on Machine 0 duration 12 mins. Job 3 consists of the following Operations: Operation 0 on Machine 2 duration 27 mins. Operation 1 on Machine 1 duration 29 mins. Operation 2 on Machine 3 duration 15 mins. Operation 3 on Machine 0 duration 24 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 27 mins. Operation 1 on Machine 3 duration 17 mins. Operation 2 on Machine 2 duration 23 mins. Operation 3 on Machine 1 duration 9 mins. Job 5 consists of the following Operations: Operation 0 on Machine 2 duration 24 mins. Operation 1 on Machine 1 duration 25 mins. Operation 2 on Machine 0 duration 44 mins. Operation 3 on Machine 3 duration 3 mins. Job 6 consists of the following Operations: Operation 0 on Machine 0 duration 6 mins. Operation 1 on Machine 2 duration 38 mins. Operation 2 on Machine 3 duration 12 mins. Operation 3 on Machine 1 duration 33 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 4 Operation 0 duration 27 mins. Job 6 Operation 0 duration 6 mins. Job 0 Operation 2 duration 4 mins. Job 5 Operation 2 duration 44 mins. Job 1 Operation 3 duration 27 mins. Job 2 Operation 3 duration 12 mins. Job 3 Operation 3 duration 24 mins. Machine 1 is used for the following Operations: Job 1 Operation 0 duration 6 mins. Job 0 Operation 1 duration 18 mins. Job 2 Operation 1 duration 25 mins. Job 3 Operation 1 duration 29 mins. Job 5 Operation 1 duration 25 mins. Job 4 Operation 3 duration 9 mins. Job 6 Operation 3 duration 33 mins. Machine 2 is used for the following Operations: Job 0 Operation 0 duration 21 mins. Job 2 Operation 0 duration 46 mins. Job 3 Operation 0 duration 27 mins. Job 5 Operation 0 duration 24 mins. Job 1 Operation 1 duration 29 mins. Job 6 Operation 1 duration 38 mins. Job 4 Operation 2 duration 23 mins. Machine 3 is used for the following Operations: Job 4 Operation 1 duration 17 mins. Job 1 Operation 2 duration 45 mins. Job 2 Operation 2 duration 35 mins. Job 3 Operation 2 duration 15 mins. Job 6 Operation 2 duration 12 mins. Job 0 Operation 3 duration 7 mins. Job 5 Operation 3 duration 3 mins.
Solution: Job 4 Operation 0 on Machine 0 : 0 + 27 -> 27 Job 1 Operation 0 on Machine 1 : 0 + 6 -> 6 Job 3 Operation 0 on Machine 2 : 0 + 27 -> 27 Job 6 Operation 0 on Machine 0 : 27 + 6 -> 33 Job 3 Operation 1 on Machine 1 : 27 + 29 -> 56 Job 1 Operation 1 on Machine 2 : 27 + 29 -> 56 Job 4 Operation 1 on Machine 3 : 27 + 17 -> 44 Job 5 Operation 0 on Machine 2 : 56 + 24 -> 80 Job 1 Operation 2 on Machine 3 : 56 + 45 -> 101 Job 5 Operation 1 on Machine 1 : 80 + 25 -> 105 Job 6 Operation 1 on Machine 2 : 80 + 38 -> 118 Job 1 Operation 3 on Machine 0 : 101 + 27 -> 128 Job 3 Operation 2 on Machine 3 : 101 + 15 -> 116 Job 2 Operation 0 on Machine 2 : 118 + 46 -> 164 Job 6 Operation 2 on Machine 3 : 118 + 12 -> 130 Job 5 Operation 2 on Machine 0 : 128 + 44 -> 172 Job 6 Operation 3 on Machine 1 : 130 + 33 -> 163 Job 2 Operation 1 on Machine 1 : 164 + 25 -> 189 Job 0 Operation 0 on Machine 2 : 164 + 21 -> 185 Job 3 Operation 3 on Machine 0 : 172 + 24 -> 196 Job 5 Operation 3 on Machine 3 : 172 + 3 -> 175 Job 4 Operation 2 on Machine 2 : 185 + 23 -> 208 Job 0 Operation 1 on Machine 1 : 189 + 18 -> 207 Job 2 Operation 2 on Machine 3 : 189 + 35 -> 224 Job 0 Operation 2 on Machine 0 : 207 + 4 -> 211 Job 4 Operation 3 on Machine 1 : 208 + 9 -> 217 Job 2 Operation 3 on Machine 0 : 224 + 12 -> 236 Job 0 Operation 3 on Machine 3 : 224 + 7 -> 231 Makespan: 236.0, as it is the maximum end completion time of Operation 3
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 0 duration 27 mins. Operation 1 on Machine 4 duration 220 mins. Operation 2 on Machine 3 duration 240 mins. Operation 3 on Machine 2 duration 212 mins. Operation 4 on Machine 8 duration 77 mins. Operation 5 on Machine 6 duration 268 mins. Operation 6 on Machine 5 duration 62 mins. Operation 7 on Machine 7 duration 231 mins. Operation 8 on Machine 1 duration 204 mins. Job 1 consists of the following Operations: Operation 0 on Machine 7 duration 194 mins. Operation 1 on Machine 3 duration 155 mins. Operation 2 on Machine 2 duration 123 mins. Operation 3 on Machine 6 duration 225 mins. Operation 4 on Machine 4 duration 157 mins. Operation 5 on Machine 1 duration 265 mins. Operation 6 on Machine 8 duration 271 mins. Operation 7 on Machine 0 duration 228 mins. Operation 8 on Machine 5 duration 116 mins. Job 2 consists of the following Operations: Operation 0 on Machine 6 duration 249 mins. Operation 1 on Machine 7 duration 171 mins. Operation 2 on Machine 8 duration 135 mins. Operation 3 on Machine 5 duration 20 mins. Operation 4 on Machine 0 duration 5 mins. Operation 5 on Machine 4 duration 102 mins. Operation 6 on Machine 3 duration 188 mins. Operation 7 on Machine 1 duration 241 mins. Operation 8 on Machine 2 duration 41 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 156 mins. Operation 1 on Machine 5 duration 60 mins. Operation 2 on Machine 3 duration 182 mins. Operation 3 on Machine 4 duration 83 mins. Operation 4 on Machine 8 duration 103 mins. Operation 5 on Machine 1 duration 82 mins. Operation 6 on Machine 2 duration 198 mins. Operation 7 on Machine 7 duration 68 mins. Operation 8 on Machine 6 duration 100 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 42 mins. Operation 1 on Machine 3 duration 258 mins. Operation 2 on Machine 8 duration 57 mins. Operation 3 on Machine 5 duration 269 mins. Operation 4 on Machine 1 duration 26 mins. Operation 5 on Machine 6 duration 53 mins. Operation 6 on Machine 7 duration 197 mins. Operation 7 on Machine 4 duration 205 mins. Operation 8 on Machine 2 duration 31 mins. Job 5 consists of the following Operations: Operation 0 on Machine 3 duration 122 mins. Operation 1 on Machine 5 duration 64 mins. Operation 2 on Machine 8 duration 136 mins. Operation 3 on Machine 1 duration 266 mins. Operation 4 on Machine 0 duration 74 mins. Operation 5 on Machine 4 duration 25 mins. Operation 6 on Machine 7 duration 83 mins. Operation 7 on Machine 6 duration 33 mins. Operation 8 on Machine 2 duration 9 mins. Job 6 consists of the following Operations: Operation 0 on Machine 1 duration 226 mins. Operation 1 on Machine 6 duration 155 mins. Operation 2 on Machine 4 duration 238 mins. Operation 3 on Machine 0 duration 88 mins. Operation 4 on Machine 8 duration 99 mins. Operation 5 on Machine 3 duration 226 mins. Operation 6 on Machine 5 duration 93 mins. Operation 7 on Machine 7 duration 103 mins. Operation 8 on Machine 2 duration 47 mins. Job 7 consists of the following Operations: Operation 0 on Machine 8 duration 61 mins. Operation 1 on Machine 4 duration 215 mins. Operation 2 on Machine 0 duration 162 mins. Operation 3 on Machine 1 duration 115 mins. Operation 4 on Machine 2 duration 255 mins. Operation 5 on Machine 7 duration 213 mins. Operation 6 on Machine 5 duration 43 mins. Operation 7 on Machine 3 duration 143 mins. Operation 8 on Machine 6 duration 33 mins. Job 8 consists of the following Operations: Operation 0 on Machine 4 duration 214 mins. Operation 1 on Machine 1 duration 102 mins. Operation 2 on Machine 2 duration 271 mins. Operation 3 on Machine 7 duration 97 mins. Operation 4 on Machine 6 duration 67 mins. Operation 5 on Machine 0 duration 197 mins. Operation 6 on Machine 8 duration 157 mins. Operation 7 on Machine 3 duration 256 mins. Operation 8 on Machine 5 duration 268 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 0 Operation 0 duration 27 mins. Job 3 Operation 0 duration 156 mins. Job 4 Operation 0 duration 42 mins. Job 7 Operation 2 duration 162 mins. Job 6 Operation 3 duration 88 mins. Job 2 Operation 4 duration 5 mins. Job 5 Operation 4 duration 74 mins. Job 8 Operation 5 duration 197 mins. Job 1 Operation 7 duration 228 mins. Machine 1 is used for the following Operations: Job 6 Operation 0 duration 226 mins. Job 8 Operation 1 duration 102 mins. Job 5 Operation 3 duration 266 mins. Job 7 Operation 3 duration 115 mins. Job 4 Operation 4 duration 26 mins. Job 1 Operation 5 duration 265 mins. Job 3 Operation 5 duration 82 mins. Job 2 Operation 7 duration 241 mins. Job 0 Operation 8 duration 204 mins. Machine 2 is used for the following Operations: Job 1 Operation 2 duration 123 mins. Job 8 Operation 2 duration 271 mins. Job 0 Operation 3 duration 212 mins. Job 7 Operation 4 duration 255 mins. Job 3 Operation 6 duration 198 mins. Job 2 Operation 8 duration 41 mins. Job 4 Operation 8 duration 31 mins. Job 5 Operation 8 duration 9 mins. Job 6 Operation 8 duration 47 mins. Machine 3 is used for the following Operations: Job 5 Operation 0 duration 122 mins. Job 1 Operation 1 duration 155 mins. Job 4 Operation 1 duration 258 mins. Job 0 Operation 2 duration 240 mins. Job 3 Operation 2 duration 182 mins. Job 6 Operation 5 duration 226 mins. Job 2 Operation 6 duration 188 mins. Job 7 Operation 7 duration 143 mins. Job 8 Operation 7 duration 256 mins. Machine 4 is used for the following Operations: Job 8 Operation 0 duration 214 mins. Job 0 Operation 1 duration 220 mins. Job 7 Operation 1 duration 215 mins. Job 6 Operation 2 duration 238 mins. Job 3 Operation 3 duration 83 mins. Job 1 Operation 4 duration 157 mins. Job 2 Operation 5 duration 102 mins. Job 5 Operation 5 duration 25 mins. Job 4 Operation 7 duration 205 mins. Machine 5 is used for the following Operations: Job 3 Operation 1 duration 60 mins. Job 5 Operation 1 duration 64 mins. Job 2 Operation 3 duration 20 mins. Job 4 Operation 3 duration 269 mins. Job 0 Operation 6 duration 62 mins. Job 6 Operation 6 duration 93 mins. Job 7 Operation 6 duration 43 mins. Job 1 Operation 8 duration 116 mins. Job 8 Operation 8 duration 268 mins. Machine 6 is used for the following Operations: Job 2 Operation 0 duration 249 mins. Job 6 Operation 1 duration 155 mins. Job 1 Operation 3 duration 225 mins. Job 8 Operation 4 duration 67 mins. Job 0 Operation 5 duration 268 mins. Job 4 Operation 5 duration 53 mins. Job 5 Operation 7 duration 33 mins. Job 3 Operation 8 duration 100 mins. Job 7 Operation 8 duration 33 mins. Machine 7 is used for the following Operations: Job 1 Operation 0 duration 194 mins. Job 2 Operation 1 duration 171 mins. Job 8 Operation 3 duration 97 mins. Job 7 Operation 5 duration 213 mins. Job 4 Operation 6 duration 197 mins. Job 5 Operation 6 duration 83 mins. Job 0 Operation 7 duration 231 mins. Job 3 Operation 7 duration 68 mins. Job 6 Operation 7 duration 103 mins. Machine 8 is used for the following Operations: Job 7 Operation 0 duration 61 mins. Job 2 Operation 2 duration 135 mins. Job 4 Operation 2 duration 57 mins. Job 5 Operation 2 duration 136 mins. Job 0 Operation 4 duration 77 mins. Job 3 Operation 4 duration 103 mins. Job 6 Operation 4 duration 99 mins. Job 1 Operation 6 duration 271 mins. Job 8 Operation 6 duration 157 mins.
Solution: Job 0 Operation 0 on Machine 0 : 0 + 27 -> 27 Job 6 Operation 0 on Machine 1 : 0 + 226 -> 226 Job 5 Operation 0 on Machine 3 : 0 + 122 -> 122 Job 8 Operation 0 on Machine 4 : 0 + 214 -> 214 Job 2 Operation 0 on Machine 6 : 0 + 249 -> 249 Job 1 Operation 0 on Machine 7 : 0 + 194 -> 194 Job 7 Operation 0 on Machine 8 : 0 + 61 -> 61 Job 4 Operation 0 on Machine 0 : 27 + 42 -> 69 Job 3 Operation 0 on Machine 0 : 69 + 156 -> 225 Job 4 Operation 1 on Machine 3 : 122 + 258 -> 380 Job 5 Operation 1 on Machine 5 : 122 + 64 -> 186 Job 5 Operation 2 on Machine 8 : 186 + 136 -> 322 Job 0 Operation 1 on Machine 4 : 214 + 220 -> 434 Job 3 Operation 1 on Machine 5 : 225 + 60 -> 285 Job 8 Operation 1 on Machine 1 : 226 + 102 -> 328 Job 6 Operation 1 on Machine 6 : 249 + 155 -> 404 Job 2 Operation 1 on Machine 7 : 249 + 171 -> 420 Job 5 Operation 3 on Machine 1 : 328 + 266 -> 594 Job 8 Operation 2 on Machine 2 : 328 + 271 -> 599 Job 1 Operation 1 on Machine 3 : 380 + 155 -> 535 Job 2 Operation 2 on Machine 8 : 420 + 135 -> 555 Job 7 Operation 1 on Machine 4 : 434 + 215 -> 649 Job 0 Operation 2 on Machine 3 : 535 + 240 -> 775 Job 2 Operation 3 on Machine 5 : 555 + 20 -> 575 Job 4 Operation 2 on Machine 8 : 555 + 57 -> 612 Job 2 Operation 4 on Machine 0 : 575 + 5 -> 580 Job 5 Operation 4 on Machine 0 : 594 + 74 -> 668 Job 1 Operation 2 on Machine 2 : 599 + 123 -> 722 Job 8 Operation 3 on Machine 7 : 599 + 97 -> 696 Job 4 Operation 3 on Machine 5 : 612 + 269 -> 881 Job 2 Operation 5 on Machine 4 : 649 + 102 -> 751 Job 7 Operation 2 on Machine 0 : 668 + 162 -> 830 Job 8 Operation 4 on Machine 6 : 696 + 67 -> 763 Job 6 Operation 2 on Machine 4 : 751 + 238 -> 989 Job 1 Operation 3 on Machine 6 : 763 + 225 -> 988 Job 0 Operation 3 on Machine 2 : 775 + 212 -> 987 Job 3 Operation 2 on Machine 3 : 775 + 182 -> 957 Job 8 Operation 5 on Machine 0 : 830 + 197 -> 1027 Job 7 Operation 3 on Machine 1 : 830 + 115 -> 945 Job 4 Operation 4 on Machine 1 : 945 + 26 -> 971 Job 2 Operation 6 on Machine 3 : 957 + 188 -> 1145 Job 7 Operation 4 on Machine 2 : 987 + 255 -> 1242 Job 0 Operation 4 on Machine 8 : 987 + 77 -> 1064 Job 4 Operation 5 on Machine 6 : 988 + 53 -> 1041 Job 1 Operation 4 on Machine 4 : 989 + 157 -> 1146 Job 6 Operation 3 on Machine 0 : 1027 + 88 -> 1115 Job 4 Operation 6 on Machine 7 : 1041 + 197 -> 1238 Job 0 Operation 5 on Machine 6 : 1064 + 268 -> 1332 Job 8 Operation 6 on Machine 8 : 1064 + 157 -> 1221 Job 1 Operation 5 on Machine 1 : 1146 + 265 -> 1411 Job 5 Operation 5 on Machine 4 : 1146 + 25 -> 1171 Job 3 Operation 3 on Machine 4 : 1171 + 83 -> 1254 Job 8 Operation 7 on Machine 3 : 1221 + 256 -> 1477 Job 6 Operation 4 on Machine 8 : 1221 + 99 -> 1320 Job 7 Operation 5 on Machine 7 : 1242 + 213 -> 1455 Job 4 Operation 7 on Machine 4 : 1254 + 205 -> 1459 Job 3 Operation 4 on Machine 8 : 1320 + 103 -> 1423 Job 0 Operation 6 on Machine 5 : 1332 + 62 -> 1394 Job 3 Operation 5 on Machine 1 : 1423 + 82 -> 1505 Job 1 Operation 6 on Machine 8 : 1423 + 271 -> 1694 Job 7 Operation 6 on Machine 5 : 1455 + 43 -> 1498 Job 5 Operation 6 on Machine 7 : 1455 + 83 -> 1538 Job 6 Operation 5 on Machine 3 : 1477 + 226 -> 1703 Job 8 Operation 8 on Machine 5 : 1498 + 268 -> 1766 Job 2 Operation 7 on Machine 1 : 1505 + 241 -> 1746 Job 3 Operation 6 on Machine 2 : 1505 + 198 -> 1703 Job 5 Operation 7 on Machine 6 : 1538 + 33 -> 1571 Job 0 Operation 7 on Machine 7 : 1538 + 231 -> 1769 Job 1 Operation 7 on Machine 0 : 1694 + 228 -> 1922 Job 5 Operation 8 on Machine 2 : 1703 + 9 -> 1712 Job 7 Operation 7 on Machine 3 : 1703 + 143 -> 1846 Job 4 Operation 8 on Machine 2 : 1712 + 31 -> 1743 Job 2 Operation 8 on Machine 2 : 1746 + 41 -> 1787 Job 6 Operation 6 on Machine 5 : 1766 + 93 -> 1859 Job 0 Operation 8 on Machine 1 : 1769 + 204 -> 1973 Job 3 Operation 7 on Machine 7 : 1769 + 68 -> 1837 Job 3 Operation 8 on Machine 6 : 1837 + 100 -> 1937 Job 6 Operation 7 on Machine 7 : 1859 + 103 -> 1962 Job 1 Operation 8 on Machine 5 : 1922 + 116 -> 2038 Job 7 Operation 8 on Machine 6 : 1937 + 33 -> 1970 Job 6 Operation 8 on Machine 2 : 1962 + 47 -> 2009 Makespan: 2038.0, as it is the maximum end completion time of Operation 8
5
4
Optimize schedule for 5 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 197 mins. Operation 1 on Machine 0 duration 395 mins. Operation 2 on Machine 3 duration 411 mins. Operation 3 on Machine 2 duration 386 mins. Job 1 consists of the following Operations: Operation 0 on Machine 2 duration 31 mins. Operation 1 on Machine 1 duration 363 mins. Operation 2 on Machine 0 duration 200 mins. Operation 3 on Machine 3 duration 356 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 55 mins. Operation 1 on Machine 2 duration 15 mins. Operation 2 on Machine 1 duration 184 mins. Operation 3 on Machine 3 duration 161 mins. Job 3 consists of the following Operations: Operation 0 on Machine 2 duration 287 mins. Operation 1 on Machine 3 duration 6 mins. Operation 2 on Machine 0 duration 187 mins. Operation 3 on Machine 1 duration 246 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 321 mins. Operation 1 on Machine 1 duration 406 mins. Operation 2 on Machine 3 duration 219 mins. Operation 3 on Machine 2 duration 228 mins.
Optimize schedule for 5 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 55 mins. Job 4 Operation 0 duration 321 mins. Job 0 Operation 1 duration 395 mins. Job 1 Operation 2 duration 200 mins. Job 3 Operation 2 duration 187 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 197 mins. Job 1 Operation 1 duration 363 mins. Job 4 Operation 1 duration 406 mins. Job 2 Operation 2 duration 184 mins. Job 3 Operation 3 duration 246 mins. Machine 2 is used for the following Operations: Job 1 Operation 0 duration 31 mins. Job 3 Operation 0 duration 287 mins. Job 2 Operation 1 duration 15 mins. Job 0 Operation 3 duration 386 mins. Job 4 Operation 3 duration 228 mins. Machine 3 is used for the following Operations: Job 3 Operation 1 duration 6 mins. Job 0 Operation 2 duration 411 mins. Job 4 Operation 2 duration 219 mins. Job 1 Operation 3 duration 356 mins. Job 2 Operation 3 duration 161 mins.
Solution: Job 2 Operation 0 on Machine 0 : 0 + 55 -> 55 Job 0 Operation 0 on Machine 1 : 0 + 197 -> 197 Job 1 Operation 0 on Machine 2 : 0 + 31 -> 31 Job 4 Operation 0 on Machine 0 : 55 + 321 -> 376 Job 2 Operation 1 on Machine 2 : 55 + 15 -> 70 Job 3 Operation 0 on Machine 2 : 70 + 287 -> 357 Job 2 Operation 2 on Machine 1 : 197 + 184 -> 381 Job 3 Operation 1 on Machine 3 : 357 + 6 -> 363 Job 0 Operation 1 on Machine 0 : 376 + 395 -> 771 Job 1 Operation 1 on Machine 1 : 381 + 363 -> 744 Job 2 Operation 3 on Machine 3 : 381 + 161 -> 542 Job 4 Operation 1 on Machine 1 : 744 + 406 -> 1150 Job 3 Operation 2 on Machine 0 : 771 + 187 -> 958 Job 0 Operation 2 on Machine 3 : 771 + 411 -> 1182 Job 1 Operation 2 on Machine 0 : 958 + 200 -> 1158 Job 3 Operation 3 on Machine 1 : 1150 + 246 -> 1396 Job 0 Operation 3 on Machine 2 : 1182 + 386 -> 1568 Job 4 Operation 2 on Machine 3 : 1182 + 219 -> 1401 Job 1 Operation 3 on Machine 3 : 1401 + 356 -> 1757 Job 4 Operation 3 on Machine 2 : 1568 + 228 -> 1796 Makespan: 1796.0, as it is the maximum end completion time of Operation 3
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 1 duration 189 mins. Operation 1 on Machine 2 duration 32 mins. Operation 2 on Machine 6 duration 103 mins. Operation 3 on Machine 3 duration 283 mins. Operation 4 on Machine 4 duration 92 mins. Operation 5 on Machine 5 duration 214 mins. Operation 6 on Machine 0 duration 127 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 228 mins. Operation 1 on Machine 1 duration 193 mins. Operation 2 on Machine 3 duration 90 mins. Operation 3 on Machine 2 duration 143 mins. Operation 4 on Machine 6 duration 35 mins. Operation 5 on Machine 4 duration 39 mins. Operation 6 on Machine 5 duration 251 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 255 mins. Operation 1 on Machine 4 duration 215 mins. Operation 2 on Machine 3 duration 289 mins. Operation 3 on Machine 2 duration 88 mins. Operation 4 on Machine 1 duration 140 mins. Operation 5 on Machine 6 duration 68 mins. Operation 6 on Machine 5 duration 278 mins. Job 3 consists of the following Operations: Operation 0 on Machine 6 duration 125 mins. Operation 1 on Machine 0 duration 268 mins. Operation 2 on Machine 3 duration 163 mins. Operation 3 on Machine 4 duration 88 mins. Operation 4 on Machine 1 duration 148 mins. Operation 5 on Machine 2 duration 31 mins. Operation 6 on Machine 5 duration 82 mins. Job 4 consists of the following Operations: Operation 0 on Machine 6 duration 104 mins. Operation 1 on Machine 5 duration 51 mins. Operation 2 on Machine 4 duration 193 mins. Operation 3 on Machine 0 duration 155 mins. Operation 4 on Machine 1 duration 272 mins. Operation 5 on Machine 2 duration 252 mins. Operation 6 on Machine 3 duration 292 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 96 mins. Operation 1 on Machine 1 duration 89 mins. Operation 2 on Machine 3 duration 57 mins. Operation 3 on Machine 2 duration 73 mins. Operation 4 on Machine 4 duration 113 mins. Operation 5 on Machine 6 duration 141 mins. Operation 6 on Machine 5 duration 263 mins. Job 6 consists of the following Operations: Operation 0 on Machine 1 duration 59 mins. Operation 1 on Machine 3 duration 239 mins. Operation 2 on Machine 4 duration 229 mins. Operation 3 on Machine 0 duration 172 mins. Operation 4 on Machine 6 duration 165 mins. Operation 5 on Machine 5 duration 85 mins. Operation 6 on Machine 2 duration 21 mins. Job 7 consists of the following Operations: Operation 0 on Machine 0 duration 98 mins. Operation 1 on Machine 5 duration 44 mins. Operation 2 on Machine 1 duration 102 mins. Operation 3 on Machine 2 duration 61 mins. Operation 4 on Machine 4 duration 61 mins. Operation 5 on Machine 3 duration 16 mins. Operation 6 on Machine 6 duration 110 mins. Job 8 consists of the following Operations: Operation 0 on Machine 0 duration 254 mins. Operation 1 on Machine 3 duration 5 mins. Operation 2 on Machine 2 duration 236 mins. Operation 3 on Machine 5 duration 193 mins. Operation 4 on Machine 4 duration 82 mins. Operation 5 on Machine 6 duration 193 mins. Operation 6 on Machine 1 duration 279 mins. Job 9 consists of the following Operations: Operation 0 on Machine 1 duration 47 mins. Operation 1 on Machine 6 duration 6 mins. Operation 2 on Machine 2 duration 51 mins. Operation 3 on Machine 5 duration 11 mins. Operation 4 on Machine 4 duration 158 mins. Operation 5 on Machine 0 duration 257 mins. Operation 6 on Machine 3 duration 227 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 1 Operation 0 duration 228 mins. Job 2 Operation 0 duration 255 mins. Job 5 Operation 0 duration 96 mins. Job 7 Operation 0 duration 98 mins. Job 8 Operation 0 duration 254 mins. Job 3 Operation 1 duration 268 mins. Job 4 Operation 3 duration 155 mins. Job 6 Operation 3 duration 172 mins. Job 9 Operation 5 duration 257 mins. Job 0 Operation 6 duration 127 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 189 mins. Job 6 Operation 0 duration 59 mins. Job 9 Operation 0 duration 47 mins. Job 1 Operation 1 duration 193 mins. Job 5 Operation 1 duration 89 mins. Job 7 Operation 2 duration 102 mins. Job 2 Operation 4 duration 140 mins. Job 3 Operation 4 duration 148 mins. Job 4 Operation 4 duration 272 mins. Job 8 Operation 6 duration 279 mins. Machine 2 is used for the following Operations: Job 0 Operation 1 duration 32 mins. Job 8 Operation 2 duration 236 mins. Job 9 Operation 2 duration 51 mins. Job 1 Operation 3 duration 143 mins. Job 2 Operation 3 duration 88 mins. Job 5 Operation 3 duration 73 mins. Job 7 Operation 3 duration 61 mins. Job 3 Operation 5 duration 31 mins. Job 4 Operation 5 duration 252 mins. Job 6 Operation 6 duration 21 mins. Machine 3 is used for the following Operations: Job 6 Operation 1 duration 239 mins. Job 8 Operation 1 duration 5 mins. Job 1 Operation 2 duration 90 mins. Job 2 Operation 2 duration 289 mins. Job 3 Operation 2 duration 163 mins. Job 5 Operation 2 duration 57 mins. Job 0 Operation 3 duration 283 mins. Job 7 Operation 5 duration 16 mins. Job 4 Operation 6 duration 292 mins. Job 9 Operation 6 duration 227 mins. Machine 4 is used for the following Operations: Job 2 Operation 1 duration 215 mins. Job 4 Operation 2 duration 193 mins. Job 6 Operation 2 duration 229 mins. Job 3 Operation 3 duration 88 mins. Job 0 Operation 4 duration 92 mins. Job 5 Operation 4 duration 113 mins. Job 7 Operation 4 duration 61 mins. Job 8 Operation 4 duration 82 mins. Job 9 Operation 4 duration 158 mins. Job 1 Operation 5 duration 39 mins. Machine 5 is used for the following Operations: Job 4 Operation 1 duration 51 mins. Job 7 Operation 1 duration 44 mins. Job 8 Operation 3 duration 193 mins. Job 9 Operation 3 duration 11 mins. Job 0 Operation 5 duration 214 mins. Job 6 Operation 5 duration 85 mins. Job 1 Operation 6 duration 251 mins. Job 2 Operation 6 duration 278 mins. Job 3 Operation 6 duration 82 mins. Job 5 Operation 6 duration 263 mins. Machine 6 is used for the following Operations: Job 3 Operation 0 duration 125 mins. Job 4 Operation 0 duration 104 mins. Job 9 Operation 1 duration 6 mins. Job 0 Operation 2 duration 103 mins. Job 1 Operation 4 duration 35 mins. Job 6 Operation 4 duration 165 mins. Job 2 Operation 5 duration 68 mins. Job 5 Operation 5 duration 141 mins. Job 8 Operation 5 duration 193 mins. Job 7 Operation 6 duration 110 mins.
Solution: Job 8 Operation 0 on Machine 0 : 0 + 254 -> 254 Job 6 Operation 0 on Machine 1 : 0 + 59 -> 59 Job 4 Operation 0 on Machine 6 : 0 + 104 -> 104 Job 0 Operation 0 on Machine 1 : 59 + 189 -> 248 Job 6 Operation 1 on Machine 3 : 59 + 239 -> 298 Job 4 Operation 1 on Machine 5 : 104 + 51 -> 155 Job 4 Operation 2 on Machine 4 : 155 + 193 -> 348 Job 9 Operation 0 on Machine 1 : 248 + 47 -> 295 Job 0 Operation 1 on Machine 2 : 248 + 32 -> 280 Job 2 Operation 0 on Machine 0 : 254 + 255 -> 509 Job 0 Operation 2 on Machine 6 : 280 + 103 -> 383 Job 8 Operation 1 on Machine 3 : 298 + 5 -> 303 Job 8 Operation 2 on Machine 2 : 303 + 236 -> 539 Job 0 Operation 3 on Machine 3 : 383 + 283 -> 666 Job 3 Operation 0 on Machine 6 : 383 + 125 -> 508 Job 9 Operation 1 on Machine 6 : 508 + 6 -> 514 Job 5 Operation 0 on Machine 0 : 509 + 96 -> 605 Job 2 Operation 1 on Machine 4 : 509 + 215 -> 724 Job 9 Operation 2 on Machine 2 : 539 + 51 -> 590 Job 8 Operation 3 on Machine 5 : 539 + 193 -> 732 Job 1 Operation 0 on Machine 0 : 605 + 228 -> 833 Job 5 Operation 1 on Machine 1 : 605 + 89 -> 694 Job 5 Operation 2 on Machine 3 : 694 + 57 -> 751 Job 0 Operation 4 on Machine 4 : 724 + 92 -> 816 Job 9 Operation 3 on Machine 5 : 732 + 11 -> 743 Job 5 Operation 3 on Machine 2 : 751 + 73 -> 824 Job 2 Operation 2 on Machine 3 : 751 + 289 -> 1040 Job 0 Operation 5 on Machine 5 : 816 + 214 -> 1030 Job 5 Operation 4 on Machine 4 : 824 + 113 -> 937 Job 4 Operation 3 on Machine 0 : 833 + 155 -> 988 Job 1 Operation 1 on Machine 1 : 833 + 193 -> 1026 Job 6 Operation 2 on Machine 4 : 937 + 229 -> 1166 Job 5 Operation 5 on Machine 6 : 937 + 141 -> 1078 Job 7 Operation 0 on Machine 0 : 988 + 98 -> 1086 Job 4 Operation 4 on Machine 1 : 1026 + 272 -> 1298 Job 2 Operation 3 on Machine 2 : 1040 + 88 -> 1128 Job 1 Operation 2 on Machine 3 : 1040 + 90 -> 1130 Job 5 Operation 6 on Machine 5 : 1078 + 263 -> 1341 Job 3 Operation 1 on Machine 0 : 1086 + 268 -> 1354 Job 1 Operation 3 on Machine 2 : 1130 + 143 -> 1273 Job 9 Operation 4 on Machine 4 : 1166 + 158 -> 1324 Job 1 Operation 4 on Machine 6 : 1273 + 35 -> 1308 Job 2 Operation 4 on Machine 1 : 1298 + 140 -> 1438 Job 4 Operation 5 on Machine 2 : 1298 + 252 -> 1550 Job 1 Operation 5 on Machine 4 : 1324 + 39 -> 1363 Job 7 Operation 1 on Machine 5 : 1341 + 44 -> 1385 Job 6 Operation 3 on Machine 0 : 1354 + 172 -> 1526 Job 3 Operation 2 on Machine 3 : 1354 + 163 -> 1517 Job 8 Operation 4 on Machine 4 : 1363 + 82 -> 1445 Job 1 Operation 6 on Machine 5 : 1385 + 251 -> 1636 Job 7 Operation 2 on Machine 1 : 1438 + 102 -> 1540 Job 2 Operation 5 on Machine 6 : 1438 + 68 -> 1506 Job 8 Operation 5 on Machine 6 : 1506 + 193 -> 1699 Job 3 Operation 3 on Machine 4 : 1517 + 88 -> 1605 Job 9 Operation 5 on Machine 0 : 1526 + 257 -> 1783 Job 7 Operation 3 on Machine 2 : 1550 + 61 -> 1611 Job 4 Operation 6 on Machine 3 : 1550 + 292 -> 1842 Job 3 Operation 4 on Machine 1 : 1605 + 148 -> 1753 Job 7 Operation 4 on Machine 4 : 1611 + 61 -> 1672 Job 2 Operation 6 on Machine 5 : 1636 + 278 -> 1914 Job 6 Operation 4 on Machine 6 : 1699 + 165 -> 1864 Job 8 Operation 6 on Machine 1 : 1753 + 279 -> 2032 Job 3 Operation 5 on Machine 2 : 1753 + 31 -> 1784 Job 0 Operation 6 on Machine 0 : 1783 + 127 -> 1910 Job 7 Operation 5 on Machine 3 : 1842 + 16 -> 1858 Job 9 Operation 6 on Machine 3 : 1858 + 227 -> 2085 Job 7 Operation 6 on Machine 6 : 1864 + 110 -> 1974 Job 6 Operation 5 on Machine 5 : 1914 + 85 -> 1999 Job 6 Operation 6 on Machine 2 : 1999 + 21 -> 2020 Job 3 Operation 6 on Machine 5 : 1999 + 82 -> 2081 Makespan: 2085.0, as it is the maximum end completion time of Operation 6
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 47 mins. Operation 1 on Machine 0 duration 86 mins. Operation 2 on Machine 1 duration 359 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 270 mins. Operation 1 on Machine 1 duration 290 mins. Operation 2 on Machine 2 duration 280 mins. Job 2 consists of the following Operations: Operation 0 on Machine 2 duration 222 mins. Operation 1 on Machine 0 duration 353 mins. Operation 2 on Machine 1 duration 17 mins. Job 3 consists of the following Operations: Operation 0 on Machine 1 duration 301 mins. Operation 1 on Machine 2 duration 293 mins. Operation 2 on Machine 0 duration 9 mins. Job 4 consists of the following Operations: Operation 0 on Machine 1 duration 89 mins. Operation 1 on Machine 0 duration 363 mins. Operation 2 on Machine 2 duration 250 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 409 mins. Operation 1 on Machine 1 duration 173 mins. Operation 2 on Machine 2 duration 206 mins. Job 6 consists of the following Operations: Operation 0 on Machine 0 duration 106 mins. Operation 1 on Machine 2 duration 409 mins. Operation 2 on Machine 1 duration 248 mins. Job 7 consists of the following Operations: Operation 0 on Machine 2 duration 397 mins. Operation 1 on Machine 0 duration 223 mins. Operation 2 on Machine 1 duration 367 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 1 Operation 0 duration 270 mins. Job 5 Operation 0 duration 409 mins. Job 6 Operation 0 duration 106 mins. Job 0 Operation 1 duration 86 mins. Job 2 Operation 1 duration 353 mins. Job 4 Operation 1 duration 363 mins. Job 7 Operation 1 duration 223 mins. Job 3 Operation 2 duration 9 mins. Machine 1 is used for the following Operations: Job 3 Operation 0 duration 301 mins. Job 4 Operation 0 duration 89 mins. Job 1 Operation 1 duration 290 mins. Job 5 Operation 1 duration 173 mins. Job 0 Operation 2 duration 359 mins. Job 2 Operation 2 duration 17 mins. Job 6 Operation 2 duration 248 mins. Job 7 Operation 2 duration 367 mins. Machine 2 is used for the following Operations: Job 0 Operation 0 duration 47 mins. Job 2 Operation 0 duration 222 mins. Job 7 Operation 0 duration 397 mins. Job 3 Operation 1 duration 293 mins. Job 6 Operation 1 duration 409 mins. Job 1 Operation 2 duration 280 mins. Job 4 Operation 2 duration 250 mins. Job 5 Operation 2 duration 206 mins.
Solution: Job 3 Operation 0 on Machine 1 : 0 + 301 -> 301 Job 0 Operation 0 on Machine 2 : 0 + 47 -> 47 Job 0 Operation 1 on Machine 0 : 47 + 86 -> 133 Job 2 Operation 0 on Machine 2 : 47 + 222 -> 269 Job 6 Operation 0 on Machine 0 : 133 + 106 -> 239 Job 1 Operation 0 on Machine 0 : 239 + 270 -> 509 Job 6 Operation 1 on Machine 2 : 269 + 409 -> 678 Job 0 Operation 2 on Machine 1 : 301 + 359 -> 660 Job 5 Operation 0 on Machine 0 : 509 + 409 -> 918 Job 6 Operation 2 on Machine 1 : 678 + 248 -> 926 Job 3 Operation 1 on Machine 2 : 678 + 293 -> 971 Job 4 Operation 0 on Machine 1 : 926 + 89 -> 1015 Job 3 Operation 2 on Machine 0 : 971 + 9 -> 980 Job 7 Operation 0 on Machine 2 : 971 + 397 -> 1368 Job 4 Operation 1 on Machine 0 : 1015 + 363 -> 1378 Job 5 Operation 1 on Machine 1 : 1015 + 173 -> 1188 Job 1 Operation 1 on Machine 1 : 1188 + 290 -> 1478 Job 5 Operation 2 on Machine 2 : 1368 + 206 -> 1574 Job 7 Operation 1 on Machine 0 : 1378 + 223 -> 1601 Job 4 Operation 2 on Machine 2 : 1574 + 250 -> 1824 Job 2 Operation 1 on Machine 0 : 1601 + 353 -> 1954 Job 7 Operation 2 on Machine 1 : 1601 + 367 -> 1968 Job 1 Operation 2 on Machine 2 : 1824 + 280 -> 2104 Job 2 Operation 2 on Machine 1 : 1968 + 17 -> 1985 Makespan: 2104.0, as it is the maximum end completion time of Operation 2
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 2 duration 196 mins. Operation 1 on Machine 4 duration 2 mins. Operation 2 on Machine 5 duration 465 mins. Operation 3 on Machine 1 duration 106 mins. Operation 4 on Machine 3 duration 389 mins. Operation 5 on Machine 0 duration 23 mins. Job 1 consists of the following Operations: Operation 0 on Machine 2 duration 81 mins. Operation 1 on Machine 5 duration 356 mins. Operation 2 on Machine 4 duration 387 mins. Operation 3 on Machine 3 duration 240 mins. Operation 4 on Machine 1 duration 183 mins. Operation 5 on Machine 0 duration 294 mins. Job 2 consists of the following Operations: Operation 0 on Machine 2 duration 426 mins. Operation 1 on Machine 4 duration 95 mins. Operation 2 on Machine 1 duration 334 mins. Operation 3 on Machine 0 duration 301 mins. Operation 4 on Machine 3 duration 153 mins. Operation 5 on Machine 5 duration 401 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 17 mins. Operation 1 on Machine 3 duration 123 mins. Operation 2 on Machine 5 duration 431 mins. Operation 3 on Machine 1 duration 344 mins. Operation 4 on Machine 2 duration 112 mins. Operation 5 on Machine 4 duration 231 mins. Job 4 consists of the following Operations: Operation 0 on Machine 2 duration 24 mins. Operation 1 on Machine 0 duration 360 mins. Operation 2 on Machine 4 duration 42 mins. Operation 3 on Machine 1 duration 211 mins. Operation 4 on Machine 5 duration 259 mins. Operation 5 on Machine 3 duration 414 mins. Job 5 consists of the following Operations: Operation 0 on Machine 2 duration 453 mins. Operation 1 on Machine 1 duration 203 mins. Operation 2 on Machine 5 duration 261 mins. Operation 3 on Machine 4 duration 302 mins. Operation 4 on Machine 3 duration 368 mins. Operation 5 on Machine 0 duration 446 mins. Job 6 consists of the following Operations: Operation 0 on Machine 4 duration 429 mins. Operation 1 on Machine 1 duration 131 mins. Operation 2 on Machine 5 duration 12 mins. Operation 3 on Machine 3 duration 132 mins. Operation 4 on Machine 2 duration 373 mins. Operation 5 on Machine 0 duration 443 mins. Job 7 consists of the following Operations: Operation 0 on Machine 4 duration 467 mins. Operation 1 on Machine 5 duration 109 mins. Operation 2 on Machine 2 duration 425 mins. Operation 3 on Machine 0 duration 177 mins. Operation 4 on Machine 1 duration 397 mins. Operation 5 on Machine 3 duration 430 mins. Job 8 consists of the following Operations: Operation 0 on Machine 0 duration 80 mins. Operation 1 on Machine 4 duration 229 mins. Operation 2 on Machine 1 duration 48 mins. Operation 3 on Machine 2 duration 104 mins. Operation 4 on Machine 3 duration 416 mins. Operation 5 on Machine 5 duration 418 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 3 Operation 0 duration 17 mins. Job 8 Operation 0 duration 80 mins. Job 4 Operation 1 duration 360 mins. Job 2 Operation 3 duration 301 mins. Job 7 Operation 3 duration 177 mins. Job 0 Operation 5 duration 23 mins. Job 1 Operation 5 duration 294 mins. Job 5 Operation 5 duration 446 mins. Job 6 Operation 5 duration 443 mins. Machine 1 is used for the following Operations: Job 5 Operation 1 duration 203 mins. Job 6 Operation 1 duration 131 mins. Job 2 Operation 2 duration 334 mins. Job 8 Operation 2 duration 48 mins. Job 0 Operation 3 duration 106 mins. Job 3 Operation 3 duration 344 mins. Job 4 Operation 3 duration 211 mins. Job 1 Operation 4 duration 183 mins. Job 7 Operation 4 duration 397 mins. Machine 2 is used for the following Operations: Job 0 Operation 0 duration 196 mins. Job 1 Operation 0 duration 81 mins. Job 2 Operation 0 duration 426 mins. Job 4 Operation 0 duration 24 mins. Job 5 Operation 0 duration 453 mins. Job 7 Operation 2 duration 425 mins. Job 8 Operation 3 duration 104 mins. Job 3 Operation 4 duration 112 mins. Job 6 Operation 4 duration 373 mins. Machine 3 is used for the following Operations: Job 3 Operation 1 duration 123 mins. Job 1 Operation 3 duration 240 mins. Job 6 Operation 3 duration 132 mins. Job 0 Operation 4 duration 389 mins. Job 2 Operation 4 duration 153 mins. Job 5 Operation 4 duration 368 mins. Job 8 Operation 4 duration 416 mins. Job 4 Operation 5 duration 414 mins. Job 7 Operation 5 duration 430 mins. Machine 4 is used for the following Operations: Job 6 Operation 0 duration 429 mins. Job 7 Operation 0 duration 467 mins. Job 0 Operation 1 duration 2 mins. Job 2 Operation 1 duration 95 mins. Job 8 Operation 1 duration 229 mins. Job 1 Operation 2 duration 387 mins. Job 4 Operation 2 duration 42 mins. Job 5 Operation 3 duration 302 mins. Job 3 Operation 5 duration 231 mins. Machine 5 is used for the following Operations: Job 1 Operation 1 duration 356 mins. Job 7 Operation 1 duration 109 mins. Job 0 Operation 2 duration 465 mins. Job 3 Operation 2 duration 431 mins. Job 5 Operation 2 duration 261 mins. Job 6 Operation 2 duration 12 mins. Job 4 Operation 4 duration 259 mins. Job 2 Operation 5 duration 401 mins. Job 8 Operation 5 duration 418 mins.
Solution: Job 3 Operation 0 on Machine 0 : 0 + 17 -> 17 Job 1 Operation 0 on Machine 2 : 0 + 81 -> 81 Job 6 Operation 0 on Machine 4 : 0 + 429 -> 429 Job 8 Operation 0 on Machine 0 : 17 + 80 -> 97 Job 3 Operation 1 on Machine 3 : 17 + 123 -> 140 Job 0 Operation 0 on Machine 2 : 81 + 196 -> 277 Job 3 Operation 2 on Machine 5 : 140 + 431 -> 571 Job 4 Operation 0 on Machine 2 : 277 + 24 -> 301 Job 4 Operation 1 on Machine 0 : 301 + 360 -> 661 Job 2 Operation 0 on Machine 2 : 301 + 426 -> 727 Job 6 Operation 1 on Machine 1 : 429 + 131 -> 560 Job 8 Operation 1 on Machine 4 : 429 + 229 -> 658 Job 6 Operation 2 on Machine 5 : 571 + 12 -> 583 Job 6 Operation 3 on Machine 3 : 583 + 132 -> 715 Job 1 Operation 1 on Machine 5 : 583 + 356 -> 939 Job 8 Operation 2 on Machine 1 : 658 + 48 -> 706 Job 0 Operation 1 on Machine 4 : 658 + 2 -> 660 Job 4 Operation 2 on Machine 4 : 661 + 42 -> 703 Job 4 Operation 3 on Machine 1 : 706 + 211 -> 917 Job 8 Operation 3 on Machine 2 : 727 + 104 -> 831 Job 2 Operation 1 on Machine 4 : 727 + 95 -> 822 Job 7 Operation 0 on Machine 4 : 822 + 467 -> 1289 Job 5 Operation 0 on Machine 2 : 831 + 453 -> 1284 Job 8 Operation 4 on Machine 3 : 831 + 416 -> 1247 Job 2 Operation 2 on Machine 1 : 917 + 334 -> 1251 Job 4 Operation 4 on Machine 5 : 939 + 259 -> 1198 Job 4 Operation 5 on Machine 3 : 1247 + 414 -> 1661 Job 2 Operation 3 on Machine 0 : 1251 + 301 -> 1552 Job 5 Operation 1 on Machine 1 : 1284 + 203 -> 1487 Job 6 Operation 4 on Machine 2 : 1284 + 373 -> 1657 Job 1 Operation 2 on Machine 4 : 1289 + 387 -> 1676 Job 7 Operation 1 on Machine 5 : 1289 + 109 -> 1398 Job 3 Operation 3 on Machine 1 : 1487 + 344 -> 1831 Job 5 Operation 2 on Machine 5 : 1487 + 261 -> 1748 Job 6 Operation 5 on Machine 0 : 1657 + 443 -> 2100 Job 7 Operation 2 on Machine 2 : 1657 + 425 -> 2082 Job 2 Operation 4 on Machine 3 : 1661 + 153 -> 1814 Job 5 Operation 3 on Machine 4 : 1748 + 302 -> 2050 Job 0 Operation 2 on Machine 5 : 1748 + 465 -> 2213 Job 1 Operation 3 on Machine 3 : 1814 + 240 -> 2054 Job 1 Operation 4 on Machine 1 : 2054 + 183 -> 2237 Job 5 Operation 4 on Machine 3 : 2054 + 368 -> 2422 Job 3 Operation 4 on Machine 2 : 2082 + 112 -> 2194 Job 7 Operation 3 on Machine 0 : 2100 + 177 -> 2277 Job 3 Operation 5 on Machine 4 : 2194 + 231 -> 2425 Job 8 Operation 5 on Machine 5 : 2213 + 418 -> 2631 Job 0 Operation 3 on Machine 1 : 2237 + 106 -> 2343 Job 1 Operation 5 on Machine 0 : 2277 + 294 -> 2571 Job 7 Operation 4 on Machine 1 : 2343 + 397 -> 2740 Job 0 Operation 4 on Machine 3 : 2422 + 389 -> 2811 Job 5 Operation 5 on Machine 0 : 2571 + 446 -> 3017 Job 2 Operation 5 on Machine 5 : 2631 + 401 -> 3032 Job 7 Operation 5 on Machine 3 : 2811 + 430 -> 3241 Job 0 Operation 5 on Machine 0 : 3017 + 23 -> 3040 Makespan: 3241.0, as it is the maximum end completion time of Operation 5
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 66 mins. Operation 1 on Machine 1 duration 233 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 246 mins. Operation 1 on Machine 1 duration 279 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 77 mins. Operation 1 on Machine 1 duration 74 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 99 mins. Operation 1 on Machine 1 duration 191 mins. Job 4 consists of the following Operations: Operation 0 on Machine 0 duration 19 mins. Operation 1 on Machine 1 duration 90 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 106 mins. Operation 1 on Machine 1 duration 73 mins. Job 6 consists of the following Operations: Operation 0 on Machine 0 duration 21 mins. Operation 1 on Machine 1 duration 194 mins. Job 7 consists of the following Operations: Operation 0 on Machine 0 duration 198 mins. Operation 1 on Machine 1 duration 278 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 66 mins. Job 1 Operation 0 duration 246 mins. Job 2 Operation 0 duration 77 mins. Job 3 Operation 0 duration 99 mins. Job 4 Operation 0 duration 19 mins. Job 5 Operation 0 duration 106 mins. Job 6 Operation 0 duration 21 mins. Job 7 Operation 0 duration 198 mins. Machine 1 is used for the following Operations: Job 0 Operation 1 duration 233 mins. Job 1 Operation 1 duration 279 mins. Job 2 Operation 1 duration 74 mins. Job 3 Operation 1 duration 191 mins. Job 4 Operation 1 duration 90 mins. Job 5 Operation 1 duration 73 mins. Job 6 Operation 1 duration 194 mins. Job 7 Operation 1 duration 278 mins.
Solution: Job 4 Operation 0 on Machine 0 : 0 + 19 -> 19 Job 6 Operation 0 on Machine 0 : 19 + 21 -> 40 Job 4 Operation 1 on Machine 1 : 19 + 90 -> 109 Job 0 Operation 0 on Machine 0 : 40 + 66 -> 106 Job 2 Operation 0 on Machine 0 : 106 + 77 -> 183 Job 6 Operation 1 on Machine 1 : 109 + 194 -> 303 Job 3 Operation 0 on Machine 0 : 183 + 99 -> 282 Job 5 Operation 0 on Machine 0 : 282 + 106 -> 388 Job 2 Operation 1 on Machine 1 : 303 + 74 -> 377 Job 3 Operation 1 on Machine 1 : 377 + 191 -> 568 Job 7 Operation 0 on Machine 0 : 388 + 198 -> 586 Job 5 Operation 1 on Machine 1 : 568 + 73 -> 641 Job 1 Operation 0 on Machine 0 : 586 + 246 -> 832 Job 0 Operation 1 on Machine 1 : 641 + 233 -> 874 Job 7 Operation 1 on Machine 1 : 874 + 278 -> 1152 Job 1 Operation 1 on Machine 1 : 1152 + 279 -> 1431 Makespan: 1431.0, as it is the maximum end completion time of Operation 1
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 2 duration 446 mins. Operation 1 on Machine 3 duration 321 mins. Operation 2 on Machine 1 duration 245 mins. Operation 3 on Machine 0 duration 173 mins. Operation 4 on Machine 4 duration 26 mins. Job 1 consists of the following Operations: Operation 0 on Machine 3 duration 337 mins. Operation 1 on Machine 4 duration 35 mins. Operation 2 on Machine 2 duration 97 mins. Operation 3 on Machine 0 duration 147 mins. Operation 4 on Machine 1 duration 377 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 43 mins. Operation 1 on Machine 4 duration 76 mins. Operation 2 on Machine 3 duration 432 mins. Operation 3 on Machine 1 duration 319 mins. Operation 4 on Machine 2 duration 143 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 354 mins. Operation 1 on Machine 4 duration 270 mins. Operation 2 on Machine 2 duration 137 mins. Operation 3 on Machine 1 duration 27 mins. Operation 4 on Machine 3 duration 180 mins. Job 4 consists of the following Operations: Operation 0 on Machine 3 duration 325 mins. Operation 1 on Machine 1 duration 306 mins. Operation 2 on Machine 0 duration 85 mins. Operation 3 on Machine 4 duration 126 mins. Operation 4 on Machine 2 duration 165 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 424 mins. Operation 1 on Machine 1 duration 289 mins. Operation 2 on Machine 3 duration 232 mins. Operation 3 on Machine 2 duration 9 mins. Operation 4 on Machine 4 duration 203 mins. Job 6 consists of the following Operations: Operation 0 on Machine 4 duration 14 mins. Operation 1 on Machine 0 duration 142 mins. Operation 2 on Machine 2 duration 340 mins. Operation 3 on Machine 3 duration 358 mins. Operation 4 on Machine 1 duration 264 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 43 mins. Job 3 Operation 0 duration 354 mins. Job 5 Operation 0 duration 424 mins. Job 6 Operation 1 duration 142 mins. Job 4 Operation 2 duration 85 mins. Job 0 Operation 3 duration 173 mins. Job 1 Operation 3 duration 147 mins. Machine 1 is used for the following Operations: Job 4 Operation 1 duration 306 mins. Job 5 Operation 1 duration 289 mins. Job 0 Operation 2 duration 245 mins. Job 2 Operation 3 duration 319 mins. Job 3 Operation 3 duration 27 mins. Job 1 Operation 4 duration 377 mins. Job 6 Operation 4 duration 264 mins. Machine 2 is used for the following Operations: Job 0 Operation 0 duration 446 mins. Job 1 Operation 2 duration 97 mins. Job 3 Operation 2 duration 137 mins. Job 6 Operation 2 duration 340 mins. Job 5 Operation 3 duration 9 mins. Job 2 Operation 4 duration 143 mins. Job 4 Operation 4 duration 165 mins. Machine 3 is used for the following Operations: Job 1 Operation 0 duration 337 mins. Job 4 Operation 0 duration 325 mins. Job 0 Operation 1 duration 321 mins. Job 2 Operation 2 duration 432 mins. Job 5 Operation 2 duration 232 mins. Job 6 Operation 3 duration 358 mins. Job 3 Operation 4 duration 180 mins. Machine 4 is used for the following Operations: Job 6 Operation 0 duration 14 mins. Job 1 Operation 1 duration 35 mins. Job 2 Operation 1 duration 76 mins. Job 3 Operation 1 duration 270 mins. Job 4 Operation 3 duration 126 mins. Job 0 Operation 4 duration 26 mins. Job 5 Operation 4 duration 203 mins.
Solution: Job 2 Operation 0 on Machine 0 : 0 + 43 -> 43 Job 0 Operation 0 on Machine 2 : 0 + 446 -> 446 Job 4 Operation 0 on Machine 3 : 0 + 325 -> 325 Job 6 Operation 0 on Machine 4 : 0 + 14 -> 14 Job 5 Operation 0 on Machine 0 : 43 + 424 -> 467 Job 2 Operation 1 on Machine 4 : 43 + 76 -> 119 Job 4 Operation 1 on Machine 1 : 325 + 306 -> 631 Job 1 Operation 0 on Machine 3 : 325 + 337 -> 662 Job 3 Operation 0 on Machine 0 : 467 + 354 -> 821 Job 5 Operation 1 on Machine 1 : 631 + 289 -> 920 Job 0 Operation 1 on Machine 3 : 662 + 321 -> 983 Job 1 Operation 1 on Machine 4 : 662 + 35 -> 697 Job 1 Operation 2 on Machine 2 : 697 + 97 -> 794 Job 6 Operation 1 on Machine 0 : 821 + 142 -> 963 Job 3 Operation 1 on Machine 4 : 821 + 270 -> 1091 Job 4 Operation 2 on Machine 0 : 963 + 85 -> 1048 Job 6 Operation 2 on Machine 2 : 963 + 340 -> 1303 Job 0 Operation 2 on Machine 1 : 983 + 245 -> 1228 Job 2 Operation 2 on Machine 3 : 983 + 432 -> 1415 Job 1 Operation 3 on Machine 0 : 1048 + 147 -> 1195 Job 4 Operation 3 on Machine 4 : 1091 + 126 -> 1217 Job 0 Operation 3 on Machine 0 : 1228 + 173 -> 1401 Job 1 Operation 4 on Machine 1 : 1228 + 377 -> 1605 Job 3 Operation 2 on Machine 2 : 1303 + 137 -> 1440 Job 0 Operation 4 on Machine 4 : 1401 + 26 -> 1427 Job 6 Operation 3 on Machine 3 : 1415 + 358 -> 1773 Job 4 Operation 4 on Machine 2 : 1440 + 165 -> 1605 Job 3 Operation 3 on Machine 1 : 1605 + 27 -> 1632 Job 2 Operation 3 on Machine 1 : 1632 + 319 -> 1951 Job 5 Operation 2 on Machine 3 : 1773 + 232 -> 2005 Job 6 Operation 4 on Machine 1 : 1951 + 264 -> 2215 Job 5 Operation 3 on Machine 2 : 2005 + 9 -> 2014 Job 3 Operation 4 on Machine 3 : 2005 + 180 -> 2185 Job 2 Operation 4 on Machine 2 : 2014 + 143 -> 2157 Job 5 Operation 4 on Machine 4 : 2014 + 203 -> 2217 Makespan: 2217.0, as it is the maximum end completion time of Operation 4
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 1 duration 120 mins. Operation 1 on Machine 3 duration 157 mins. Operation 2 on Machine 4 duration 97 mins. Operation 3 on Machine 0 duration 143 mins. Operation 4 on Machine 2 duration 19 mins. Job 1 consists of the following Operations: Operation 0 on Machine 1 duration 21 mins. Operation 1 on Machine 2 duration 72 mins. Operation 2 on Machine 4 duration 114 mins. Operation 3 on Machine 3 duration 154 mins. Operation 4 on Machine 0 duration 118 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 73 mins. Operation 1 on Machine 3 duration 80 mins. Operation 2 on Machine 1 duration 41 mins. Operation 3 on Machine 4 duration 88 mins. Operation 4 on Machine 2 duration 146 mins. Job 3 consists of the following Operations: Operation 0 on Machine 4 duration 82 mins. Operation 1 on Machine 1 duration 11 mins. Operation 2 on Machine 2 duration 45 mins. Operation 3 on Machine 3 duration 56 mins. Operation 4 on Machine 0 duration 78 mins. Job 4 consists of the following Operations: Operation 0 on Machine 1 duration 122 mins. Operation 1 on Machine 0 duration 132 mins. Operation 2 on Machine 3 duration 158 mins. Operation 3 on Machine 4 duration 124 mins. Operation 4 on Machine 2 duration 151 mins. Job 5 consists of the following Operations: Operation 0 on Machine 4 duration 103 mins. Operation 1 on Machine 2 duration 58 mins. Operation 2 on Machine 0 duration 120 mins. Operation 3 on Machine 3 duration 14 mins. Operation 4 on Machine 1 duration 50 mins. Job 6 consists of the following Operations: Operation 0 on Machine 1 duration 100 mins. Operation 1 on Machine 2 duration 8 mins. Operation 2 on Machine 3 duration 38 mins. Operation 3 on Machine 4 duration 49 mins. Operation 4 on Machine 0 duration 54 mins. Job 7 consists of the following Operations: Operation 0 on Machine 4 duration 56 mins. Operation 1 on Machine 2 duration 27 mins. Operation 2 on Machine 3 duration 28 mins. Operation 3 on Machine 0 duration 37 mins. Operation 4 on Machine 1 duration 57 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 0 duration 73 mins. Job 4 Operation 1 duration 132 mins. Job 5 Operation 2 duration 120 mins. Job 0 Operation 3 duration 143 mins. Job 7 Operation 3 duration 37 mins. Job 1 Operation 4 duration 118 mins. Job 3 Operation 4 duration 78 mins. Job 6 Operation 4 duration 54 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 120 mins. Job 1 Operation 0 duration 21 mins. Job 4 Operation 0 duration 122 mins. Job 6 Operation 0 duration 100 mins. Job 3 Operation 1 duration 11 mins. Job 2 Operation 2 duration 41 mins. Job 5 Operation 4 duration 50 mins. Job 7 Operation 4 duration 57 mins. Machine 2 is used for the following Operations: Job 1 Operation 1 duration 72 mins. Job 5 Operation 1 duration 58 mins. Job 6 Operation 1 duration 8 mins. Job 7 Operation 1 duration 27 mins. Job 3 Operation 2 duration 45 mins. Job 0 Operation 4 duration 19 mins. Job 2 Operation 4 duration 146 mins. Job 4 Operation 4 duration 151 mins. Machine 3 is used for the following Operations: Job 0 Operation 1 duration 157 mins. Job 2 Operation 1 duration 80 mins. Job 4 Operation 2 duration 158 mins. Job 6 Operation 2 duration 38 mins. Job 7 Operation 2 duration 28 mins. Job 1 Operation 3 duration 154 mins. Job 3 Operation 3 duration 56 mins. Job 5 Operation 3 duration 14 mins. Machine 4 is used for the following Operations: Job 3 Operation 0 duration 82 mins. Job 5 Operation 0 duration 103 mins. Job 7 Operation 0 duration 56 mins. Job 0 Operation 2 duration 97 mins. Job 1 Operation 2 duration 114 mins. Job 2 Operation 3 duration 88 mins. Job 4 Operation 3 duration 124 mins. Job 6 Operation 3 duration 49 mins.
Solution: Job 2 Operation 0 on Machine 0 : 0 + 73 -> 73 Job 1 Operation 0 on Machine 1 : 0 + 21 -> 21 Job 5 Operation 0 on Machine 4 : 0 + 103 -> 103 Job 0 Operation 0 on Machine 1 : 21 + 120 -> 141 Job 1 Operation 1 on Machine 2 : 21 + 72 -> 93 Job 2 Operation 1 on Machine 3 : 73 + 80 -> 153 Job 5 Operation 1 on Machine 2 : 103 + 58 -> 161 Job 3 Operation 0 on Machine 4 : 103 + 82 -> 185 Job 4 Operation 0 on Machine 1 : 141 + 122 -> 263 Job 0 Operation 1 on Machine 3 : 153 + 157 -> 310 Job 5 Operation 2 on Machine 0 : 161 + 120 -> 281 Job 7 Operation 0 on Machine 4 : 185 + 56 -> 241 Job 7 Operation 1 on Machine 2 : 241 + 27 -> 268 Job 1 Operation 2 on Machine 4 : 241 + 114 -> 355 Job 3 Operation 1 on Machine 1 : 263 + 11 -> 274 Job 6 Operation 0 on Machine 1 : 274 + 100 -> 374 Job 3 Operation 2 on Machine 2 : 274 + 45 -> 319 Job 4 Operation 1 on Machine 0 : 281 + 132 -> 413 Job 7 Operation 2 on Machine 3 : 310 + 28 -> 338 Job 3 Operation 3 on Machine 3 : 338 + 56 -> 394 Job 0 Operation 2 on Machine 4 : 355 + 97 -> 452 Job 2 Operation 2 on Machine 1 : 374 + 41 -> 415 Job 6 Operation 1 on Machine 2 : 374 + 8 -> 382 Job 6 Operation 2 on Machine 3 : 394 + 38 -> 432 Job 7 Operation 3 on Machine 0 : 413 + 37 -> 450 Job 4 Operation 2 on Machine 3 : 432 + 158 -> 590 Job 7 Operation 4 on Machine 1 : 450 + 57 -> 507 Job 0 Operation 3 on Machine 0 : 452 + 143 -> 595 Job 2 Operation 3 on Machine 4 : 452 + 88 -> 540 Job 2 Operation 4 on Machine 2 : 540 + 146 -> 686 Job 6 Operation 3 on Machine 4 : 540 + 49 -> 589 Job 1 Operation 3 on Machine 3 : 590 + 154 -> 744 Job 4 Operation 3 on Machine 4 : 590 + 124 -> 714 Job 6 Operation 4 on Machine 0 : 595 + 54 -> 649 Job 3 Operation 4 on Machine 0 : 649 + 78 -> 727 Job 0 Operation 4 on Machine 2 : 686 + 19 -> 705 Job 4 Operation 4 on Machine 2 : 714 + 151 -> 865 Job 1 Operation 4 on Machine 0 : 744 + 118 -> 862 Job 5 Operation 3 on Machine 3 : 744 + 14 -> 758 Job 5 Operation 4 on Machine 1 : 758 + 50 -> 808 Makespan: 865.0, 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 0 duration 44 mins. Operation 1 on Machine 1 duration 32 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 30 mins. Operation 1 on Machine 1 duration 73 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 75 mins. Operation 1 on Machine 1 duration 41 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 52 mins. Operation 1 on Machine 1 duration 20 mins. Job 4 consists of the following Operations: Operation 0 on Machine 1 duration 61 mins. Operation 1 on Machine 0 duration 70 mins. Job 5 consists of the following Operations: Operation 0 on Machine 0 duration 59 mins. Operation 1 on Machine 1 duration 62 mins. Job 6 consists of the following Operations: Operation 0 on Machine 0 duration 44 mins. Operation 1 on Machine 1 duration 55 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 44 mins. Job 1 Operation 0 duration 30 mins. Job 2 Operation 0 duration 75 mins. Job 3 Operation 0 duration 52 mins. Job 5 Operation 0 duration 59 mins. Job 6 Operation 0 duration 44 mins. Job 4 Operation 1 duration 70 mins. Machine 1 is used for the following Operations: Job 4 Operation 0 duration 61 mins. Job 0 Operation 1 duration 32 mins. Job 1 Operation 1 duration 73 mins. Job 2 Operation 1 duration 41 mins. Job 3 Operation 1 duration 20 mins. Job 5 Operation 1 duration 62 mins. Job 6 Operation 1 duration 55 mins.
Solution: Job 1 Operation 0 on Machine 0 : 0 + 30 -> 30 Job 4 Operation 0 on Machine 1 : 0 + 61 -> 61 Job 3 Operation 0 on Machine 0 : 30 + 52 -> 82 Job 0 Operation 0 on Machine 0 : 82 + 44 -> 126 Job 3 Operation 1 on Machine 1 : 82 + 20 -> 102 Job 1 Operation 1 on Machine 1 : 102 + 73 -> 175 Job 2 Operation 0 on Machine 0 : 126 + 75 -> 201 Job 0 Operation 1 on Machine 1 : 175 + 32 -> 207 Job 6 Operation 0 on Machine 0 : 201 + 44 -> 245 Job 2 Operation 1 on Machine 1 : 207 + 41 -> 248 Job 5 Operation 0 on Machine 0 : 245 + 59 -> 304 Job 6 Operation 1 on Machine 1 : 248 + 55 -> 303 Job 4 Operation 1 on Machine 0 : 304 + 70 -> 374 Job 5 Operation 1 on Machine 1 : 304 + 62 -> 366 Makespan: 374.0, 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 4 duration 440 mins. Operation 1 on Machine 7 duration 81 mins. Operation 2 on Machine 5 duration 156 mins. Operation 3 on Machine 0 duration 108 mins. Operation 4 on Machine 6 duration 368 mins. Operation 5 on Machine 2 duration 160 mins. Operation 6 on Machine 3 duration 102 mins. Operation 7 on Machine 1 duration 180 mins. Job 1 consists of the following Operations: Operation 0 on Machine 6 duration 313 mins. Operation 1 on Machine 1 duration 346 mins. Operation 2 on Machine 7 duration 343 mins. Operation 3 on Machine 2 duration 295 mins. Operation 4 on Machine 3 duration 359 mins. Operation 5 on Machine 5 duration 231 mins. Operation 6 on Machine 4 duration 95 mins. Operation 7 on Machine 0 duration 401 mins. Job 2 consists of the following Operations: Operation 0 on Machine 5 duration 35 mins. Operation 1 on Machine 1 duration 342 mins. Operation 2 on Machine 4 duration 167 mins. Operation 3 on Machine 3 duration 108 mins. Operation 4 on Machine 0 duration 87 mins. Operation 5 on Machine 2 duration 107 mins. Operation 6 on Machine 7 duration 244 mins. Operation 7 on Machine 6 duration 323 mins. Job 3 consists of the following Operations: Operation 0 on Machine 5 duration 9 mins. Operation 1 on Machine 4 duration 373 mins. Operation 2 on Machine 0 duration 408 mins. Operation 3 on Machine 7 duration 175 mins. Operation 4 on Machine 3 duration 167 mins. Operation 5 on Machine 2 duration 99 mins. Operation 6 on Machine 6 duration 50 mins. Operation 7 on Machine 1 duration 228 mins. Job 4 consists of the following Operations: Operation 0 on Machine 2 duration 250 mins. Operation 1 on Machine 5 duration 459 mins. Operation 2 on Machine 6 duration 481 mins. Operation 3 on Machine 1 duration 32 mins. Operation 4 on Machine 3 duration 301 mins. Operation 5 on Machine 0 duration 15 mins. Operation 6 on Machine 4 duration 301 mins. Operation 7 on Machine 7 duration 21 mins. Job 5 consists of the following Operations: Operation 0 on Machine 3 duration 315 mins. Operation 1 on Machine 2 duration 244 mins. Operation 2 on Machine 6 duration 406 mins. Operation 3 on Machine 1 duration 92 mins. Operation 4 on Machine 7 duration 21 mins. Operation 5 on Machine 0 duration 122 mins. Operation 6 on Machine 5 duration 212 mins. Operation 7 on Machine 4 duration 356 mins. Job 6 consists of the following Operations: Operation 0 on Machine 0 duration 88 mins. Operation 1 on Machine 2 duration 8 mins. Operation 2 on Machine 7 duration 310 mins. Operation 3 on Machine 1 duration 420 mins. Operation 4 on Machine 6 duration 312 mins. Operation 5 on Machine 4 duration 484 mins. Operation 6 on Machine 3 duration 400 mins. Operation 7 on Machine 5 duration 109 mins. Job 7 consists of the following Operations: Operation 0 on Machine 2 duration 131 mins. Operation 1 on Machine 6 duration 354 mins. Operation 2 on Machine 3 duration 445 mins. Operation 3 on Machine 7 duration 291 mins. Operation 4 on Machine 4 duration 416 mins. Operation 5 on Machine 1 duration 473 mins. Operation 6 on Machine 0 duration 313 mins. Operation 7 on Machine 5 duration 381 mins. Job 8 consists of the following Operations: Operation 0 on Machine 1 duration 280 mins. Operation 1 on Machine 0 duration 323 mins. Operation 2 on Machine 6 duration 130 mins. Operation 3 on Machine 7 duration 472 mins. Operation 4 on Machine 2 duration 60 mins. Operation 5 on Machine 3 duration 251 mins. Operation 6 on Machine 5 duration 273 mins. Operation 7 on Machine 4 duration 42 mins. Job 9 consists of the following Operations: Operation 0 on Machine 4 duration 125 mins. Operation 1 on Machine 1 duration 325 mins. Operation 2 on Machine 3 duration 477 mins. Operation 3 on Machine 0 duration 391 mins. Operation 4 on Machine 6 duration 321 mins. Operation 5 on Machine 2 duration 7 mins. Operation 6 on Machine 7 duration 282 mins. Operation 7 on Machine 5 duration 80 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 6 Operation 0 duration 88 mins. Job 8 Operation 1 duration 323 mins. Job 3 Operation 2 duration 408 mins. Job 0 Operation 3 duration 108 mins. Job 9 Operation 3 duration 391 mins. Job 2 Operation 4 duration 87 mins. Job 4 Operation 5 duration 15 mins. Job 5 Operation 5 duration 122 mins. Job 7 Operation 6 duration 313 mins. Job 1 Operation 7 duration 401 mins. Machine 1 is used for the following Operations: Job 8 Operation 0 duration 280 mins. Job 1 Operation 1 duration 346 mins. Job 2 Operation 1 duration 342 mins. Job 9 Operation 1 duration 325 mins. Job 4 Operation 3 duration 32 mins. Job 5 Operation 3 duration 92 mins. Job 6 Operation 3 duration 420 mins. Job 7 Operation 5 duration 473 mins. Job 0 Operation 7 duration 180 mins. Job 3 Operation 7 duration 228 mins. Machine 2 is used for the following Operations: Job 4 Operation 0 duration 250 mins. Job 7 Operation 0 duration 131 mins. Job 5 Operation 1 duration 244 mins. Job 6 Operation 1 duration 8 mins. Job 1 Operation 3 duration 295 mins. Job 8 Operation 4 duration 60 mins. Job 0 Operation 5 duration 160 mins. Job 2 Operation 5 duration 107 mins. Job 3 Operation 5 duration 99 mins. Job 9 Operation 5 duration 7 mins. Machine 3 is used for the following Operations: Job 5 Operation 0 duration 315 mins. Job 7 Operation 2 duration 445 mins. Job 9 Operation 2 duration 477 mins. Job 2 Operation 3 duration 108 mins. Job 1 Operation 4 duration 359 mins. Job 3 Operation 4 duration 167 mins. Job 4 Operation 4 duration 301 mins. Job 8 Operation 5 duration 251 mins. Job 0 Operation 6 duration 102 mins. Job 6 Operation 6 duration 400 mins. Machine 4 is used for the following Operations: Job 0 Operation 0 duration 440 mins. Job 9 Operation 0 duration 125 mins. Job 3 Operation 1 duration 373 mins. Job 2 Operation 2 duration 167 mins. Job 7 Operation 4 duration 416 mins. Job 6 Operation 5 duration 484 mins. Job 1 Operation 6 duration 95 mins. Job 4 Operation 6 duration 301 mins. Job 5 Operation 7 duration 356 mins. Job 8 Operation 7 duration 42 mins. Machine 5 is used for the following Operations: Job 2 Operation 0 duration 35 mins. Job 3 Operation 0 duration 9 mins. Job 4 Operation 1 duration 459 mins. Job 0 Operation 2 duration 156 mins. Job 1 Operation 5 duration 231 mins. Job 5 Operation 6 duration 212 mins. Job 8 Operation 6 duration 273 mins. Job 6 Operation 7 duration 109 mins. Job 7 Operation 7 duration 381 mins. Job 9 Operation 7 duration 80 mins. Machine 6 is used for the following Operations: Job 1 Operation 0 duration 313 mins. Job 7 Operation 1 duration 354 mins. Job 4 Operation 2 duration 481 mins. Job 5 Operation 2 duration 406 mins. Job 8 Operation 2 duration 130 mins. Job 0 Operation 4 duration 368 mins. Job 6 Operation 4 duration 312 mins. Job 9 Operation 4 duration 321 mins. Job 3 Operation 6 duration 50 mins. Job 2 Operation 7 duration 323 mins. Machine 7 is used for the following Operations: Job 0 Operation 1 duration 81 mins. Job 1 Operation 2 duration 343 mins. Job 6 Operation 2 duration 310 mins. Job 3 Operation 3 duration 175 mins. Job 7 Operation 3 duration 291 mins. Job 8 Operation 3 duration 472 mins. Job 5 Operation 4 duration 21 mins. Job 2 Operation 6 duration 244 mins. Job 9 Operation 6 duration 282 mins. Job 4 Operation 7 duration 21 mins.
Solution: Job 6 Operation 0 on Machine 0 : 0 + 88 -> 88 Job 7 Operation 0 on Machine 2 : 0 + 131 -> 131 Job 5 Operation 0 on Machine 3 : 0 + 315 -> 315 Job 9 Operation 0 on Machine 4 : 0 + 125 -> 125 Job 3 Operation 0 on Machine 5 : 0 + 9 -> 9 Job 1 Operation 0 on Machine 6 : 0 + 313 -> 313 Job 2 Operation 0 on Machine 5 : 9 + 35 -> 44 Job 9 Operation 1 on Machine 1 : 125 + 325 -> 450 Job 3 Operation 1 on Machine 4 : 125 + 373 -> 498 Job 6 Operation 1 on Machine 2 : 131 + 8 -> 139 Job 4 Operation 0 on Machine 2 : 139 + 250 -> 389 Job 6 Operation 2 on Machine 7 : 139 + 310 -> 449 Job 7 Operation 1 on Machine 6 : 313 + 354 -> 667 Job 5 Operation 1 on Machine 2 : 389 + 244 -> 633 Job 4 Operation 1 on Machine 5 : 389 + 459 -> 848 Job 1 Operation 1 on Machine 1 : 450 + 346 -> 796 Job 9 Operation 2 on Machine 3 : 450 + 477 -> 927 Job 3 Operation 2 on Machine 0 : 498 + 408 -> 906 Job 0 Operation 0 on Machine 4 : 498 + 440 -> 938 Job 5 Operation 2 on Machine 6 : 667 + 406 -> 1073 Job 8 Operation 0 on Machine 1 : 796 + 280 -> 1076 Job 1 Operation 2 on Machine 7 : 796 + 343 -> 1139 Job 7 Operation 2 on Machine 3 : 927 + 445 -> 1372 Job 4 Operation 2 on Machine 6 : 1073 + 481 -> 1554 Job 8 Operation 1 on Machine 0 : 1076 + 323 -> 1399 Job 2 Operation 1 on Machine 1 : 1076 + 342 -> 1418 Job 1 Operation 3 on Machine 2 : 1139 + 295 -> 1434 Job 0 Operation 1 on Machine 7 : 1139 + 81 -> 1220 Job 0 Operation 2 on Machine 5 : 1220 + 156 -> 1376 Job 7 Operation 3 on Machine 7 : 1372 + 291 -> 1663 Job 0 Operation 3 on Machine 0 : 1399 + 108 -> 1507 Job 6 Operation 3 on Machine 1 : 1418 + 420 -> 1838 Job 2 Operation 2 on Machine 4 : 1418 + 167 -> 1585 Job 1 Operation 4 on Machine 3 : 1434 + 359 -> 1793 Job 9 Operation 3 on Machine 0 : 1507 + 391 -> 1898 Job 8 Operation 2 on Machine 6 : 1554 + 130 -> 1684 Job 7 Operation 4 on Machine 4 : 1663 + 416 -> 2079 Job 8 Operation 3 on Machine 7 : 1684 + 472 -> 2156 Job 2 Operation 3 on Machine 3 : 1793 + 108 -> 1901 Job 1 Operation 5 on Machine 5 : 1793 + 231 -> 2024 Job 4 Operation 3 on Machine 1 : 1838 + 32 -> 1870 Job 6 Operation 4 on Machine 6 : 1838 + 312 -> 2150 Job 5 Operation 3 on Machine 1 : 1870 + 92 -> 1962 Job 4 Operation 4 on Machine 3 : 1901 + 301 -> 2202 Job 7 Operation 5 on Machine 1 : 2079 + 473 -> 2552 Job 1 Operation 6 on Machine 4 : 2079 + 95 -> 2174 Job 9 Operation 4 on Machine 6 : 2150 + 321 -> 2471 Job 8 Operation 4 on Machine 2 : 2156 + 60 -> 2216 Job 5 Operation 4 on Machine 7 : 2156 + 21 -> 2177 Job 6 Operation 5 on Machine 4 : 2174 + 484 -> 2658 Job 5 Operation 5 on Machine 0 : 2177 + 122 -> 2299 Job 3 Operation 3 on Machine 7 : 2177 + 175 -> 2352 Job 8 Operation 5 on Machine 3 : 2216 + 251 -> 2467 Job 2 Operation 4 on Machine 0 : 2299 + 87 -> 2386 Job 5 Operation 6 on Machine 5 : 2299 + 212 -> 2511 Job 2 Operation 5 on Machine 2 : 2386 + 107 -> 2493 Job 3 Operation 4 on Machine 3 : 2467 + 167 -> 2634 Job 0 Operation 4 on Machine 6 : 2471 + 368 -> 2839 Job 9 Operation 5 on Machine 2 : 2493 + 7 -> 2500 Job 9 Operation 6 on Machine 7 : 2500 + 282 -> 2782 Job 8 Operation 6 on Machine 5 : 2511 + 273 -> 2784 Job 7 Operation 6 on Machine 0 : 2552 + 313 -> 2865 Job 3 Operation 5 on Machine 2 : 2634 + 99 -> 2733 Job 6 Operation 6 on Machine 3 : 2658 + 400 -> 3058 Job 5 Operation 7 on Machine 4 : 2658 + 356 -> 3014 Job 2 Operation 6 on Machine 7 : 2782 + 244 -> 3026 Job 9 Operation 7 on Machine 5 : 2784 + 80 -> 2864 Job 0 Operation 5 on Machine 2 : 2839 + 160 -> 2999 Job 3 Operation 6 on Machine 6 : 2839 + 50 -> 2889 Job 4 Operation 5 on Machine 0 : 2865 + 15 -> 2880 Job 7 Operation 7 on Machine 5 : 2865 + 381 -> 3246 Job 1 Operation 7 on Machine 0 : 2880 + 401 -> 3281 Job 3 Operation 7 on Machine 1 : 2889 + 228 -> 3117 Job 4 Operation 6 on Machine 4 : 3014 + 301 -> 3315 Job 2 Operation 7 on Machine 6 : 3026 + 323 -> 3349 Job 0 Operation 6 on Machine 3 : 3058 + 102 -> 3160 Job 0 Operation 7 on Machine 1 : 3160 + 180 -> 3340 Job 6 Operation 7 on Machine 5 : 3246 + 109 -> 3355 Job 8 Operation 7 on Machine 4 : 3315 + 42 -> 3357 Job 4 Operation 7 on Machine 7 : 3315 + 21 -> 3336 Makespan: 3357.0, as it is the maximum end completion time of Operation 7
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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 438 mins. Operation 1 on Machine 0 duration 451 mins. Job 1 consists of the following Operations: Operation 0 on Machine 0 duration 325 mins. Operation 1 on Machine 1 duration 366 mins. Job 2 consists of the following Operations: Operation 0 on Machine 0 duration 251 mins. Operation 1 on Machine 1 duration 52 mins. Job 3 consists of the following Operations: Operation 0 on Machine 0 duration 265 mins. Operation 1 on Machine 1 duration 216 mins. Job 4 consists of the following Operations: Operation 0 on Machine 1 duration 130 mins. Operation 1 on Machine 0 duration 167 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 325 mins. Job 2 Operation 0 duration 251 mins. Job 3 Operation 0 duration 265 mins. Job 0 Operation 1 duration 451 mins. Job 4 Operation 1 duration 167 mins. Machine 1 is used for the following Operations: Job 0 Operation 0 duration 438 mins. Job 4 Operation 0 duration 130 mins. Job 1 Operation 1 duration 366 mins. Job 2 Operation 1 duration 52 mins. Job 3 Operation 1 duration 216 mins.
Solution: Job 2 Operation 0 on Machine 0 : 0 + 251 -> 251 Job 4 Operation 0 on Machine 1 : 0 + 130 -> 130 Job 0 Operation 0 on Machine 1 : 130 + 438 -> 568 Job 4 Operation 1 on Machine 0 : 251 + 167 -> 418 Job 3 Operation 0 on Machine 0 : 418 + 265 -> 683 Job 2 Operation 1 on Machine 1 : 568 + 52 -> 620 Job 1 Operation 0 on Machine 0 : 683 + 325 -> 1008 Job 3 Operation 1 on Machine 1 : 683 + 216 -> 899 Job 0 Operation 1 on Machine 0 : 1008 + 451 -> 1459 Job 1 Operation 1 on Machine 1 : 1008 + 366 -> 1374 Makespan: 1459.0, as it is the maximum end completion time of Operation 1
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