考虑工人疲劳的双资源柔性作业车间调度优化
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郭鹏,郝东辉,郑鹏,王祺欣
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Scheduling optimization of dual resource-constrained flexible job shop considering worker fatigue
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Peng GUO,Dong-hui HAO,Peng ZHENG,Qi-xin WANG
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表 5 6种优化算法的求解结果与耗时 |
Tab.5 Solution results and runtime of six optimization algorithms |
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算例 | Gurobi求解器 | | 生成规则 | | 遗传算法 | | Jaya算法 | | 标准ALNS算法 | | 本研究算法 | C/min | RT/s | C/min | RT/s | C/min | RT/s | C/min | RT/s | C/min | RT/s | C/min | RT/s | D1 | 174 | 10800 | | 188 | <1 | | 174 | 4.1 | | 172 | 15.0 | | 176 | 0.5 | | 171 | 1.9 | D2 | 183 | 10800 | 217 | <1 | 180 | 4.3 | 187 | 15.1 | 180 | 0.5 | 178 | 1.9 | D3 | 271 | 10800 | 263 | <1 | 238 | 6.3 | 242 | 33.1 | 243 | 1.1 | 237 | 4.7 | D4 | 338 | 10800 | 279 | <1 | 236 | 6.1 | 243 | 34.3 | 238 | 1.2 | 231 | 4.7 | D5 | 356 | 10800 | 246 | <1 | 251 | 10.4 | 246 | 91.1 | 246 | 3.5 | 235 | 13.8 | D6 | 368 | 10800 | 280 | <1 | 249 | 10.2 | 253 | 89.3 | 239 | 3.1 | 230 | 13.6 | D7 | — | 10800 | 308 | <1 | 297 | 12.5 | 291 | 126.4 | 290 | 5.0 | 284 | 20.3 | D8 | — | 10800 | 294 | <1 | 294 | 12.4 | 280 | 122.7 | 288 | 5.0 | 274 | 20.1 | D9 | — | 10800 | 272 | <1 | 270 | 16.5 | 269 | 220.7 | 265 | 8.7 | 259 | 35.8 | D10 | — | 10800 | 283 | <1 | 270 | 16.4 | 267 | 221.5 | 264 | 8.4 | 253 | 35.8 | D11 | — | 10800 | 329 | <1 | 329 | 20.4 | 321 | 321.3 | 319 | 12.7 | 308 | 57.0 | D12 | — | 10800 | 361 | <1 | 337 | 20.7 | 329 | 377.0 | 332 | 14.6 | 319 | 57.3 | D13 | — | 10800 | 335 | <1 | 336 | 29.5 | 336 | 769.6 | 335 | 27.3 | 304 | 115.5 | D14 | — | 10800 | 355 | <1 | 344 | 30.1 | 342 | 769.2 | 332 | 29.4 | 322 | 116.1 | D15 | — | 10800 | 401 | <1 | 426 | 38.8 | 425 | 1159.0 | 401 | 46.1 | 376 | 194.9 | D16 | — | 10800 | 414 | <1 | 438 | 39.9 | 416 | 1105.3 | 420 | 51.1 | 390 | 195.2 |
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