Complexity / 2018 / Article / Tab 7 / Research Article
A Multifactory Integrated Production and Distribution Scheduling Problem with Parallel Machines and Immediate Shipments Solved by Improved Whale Optimization Algorithm Table 7 Mean
standard deviation
and average of CPU time (s) for large-scale instances
Number of variables IWOA WOA GA GA-MPC PSO SPSO MPD SD ACT MPD SD ACT MPD SD ACT MPD SD ACT MPD SD ACT MPD SD ACT 3/10/3/3 11070 10.4 3.10 59 20.3 3.52 50 8.04 3.73 48 11.2 3.63 40 17.1 4.50 20 10.7 3.52 38 3/10/3/4 13860 14.3 4.4 61 19.9 7.63 54 14.7 4.61 48 15.3 3.19 39 25.2 6.90 22 13.4 5.35 39 3/10/3/5 16650 17.7 3.79 65 24.3 3.77 60 17.2 1.75 51 10.1 1.89 44 27.2 4.42 23 14.0 3.73 45 4/7/3/2 7224 9.50 3.00 43 10.8 3.89 41 7.72 1.76 37 12.1 4.38 32 8.73 4.24 18 13.6 5.65 39 4/8/3/2 9408 11.4 5.07 40 15.2 4.60 37 8.62 2.85 35 10.2 5.63 34 9.71 9.31 15 11.8 3.95 34 4/10/2/3 13040 12.5 3.06 58 14.2 6.63 44 13.3 6.55 43 12.6 5.28 39 13.4 6.70 21 14.5 6.59 40 4/10/2/4 16320 13.1 3.79 63 17.3 5.64 58 12.4 13.4 46 11.6 9.00 35 21.1 7.20 25 14.1 9.76 43 4/10/2/5 19600 15.3 4.12 68 18.9 10.9 51 13.6 11.7 49 11.6 5.95 43 25.8 11.5 24 11.9 8.74 46 4/10/3/5 29400 24.2 4.49 80 26.2 7.03 74 17.6 5.22 63 16.4 5.17 54 38.2 7.61 30 22.9 5.79 64 4/10/4/5 39200 19.6 6.11 87 21.9 5.69 83 18.8 5.11 68 12.5 3.77 61 40.3 7.20 37 22.9 4.85 67 4/10/5/5 49000 26.1 6.39 107 29.1 5.32 99 14.6 4.71 79 10.6 4.18 63 42.5 5.32 42 32.8 5.17 101 5/7/3/2 11235 17.2 6.09 54 21.4 8.03 45 11.5 7.15 41 15.6 3.78 35 18.2 5.10 18 25.2 7.82 36 5/8/3/2 14640 12.1 9.70 57 17.3 7.39 49 11.6 8.62 43 12.1 6.27 38 15.3 9.05 21 12.1 8.17 37 5/10/4/2 30400 10.4 10.6 85 16.1 11.9 84 4.48 8.00 71 7.61 8.58 59 17.2 15.4 34 12.8 7.32 63 5/10/5/2 38000 16.7 4.54 91 18.6 11.2 83 15.8 12.6 76 10.2 6.00 68 20.9 17.4 36 18.8 9.62 69 5/10/5/3 50750 21.7 5.90 125 21.8 7.11 119 13.8 13.5 84 13.1 12.3 73 32.7 11.6 47 26.8 9.76 103 6/4/4/2 7014 15.8 2.90 39 21.1 2.90 44 11.7 1.38 38 28.3 1.19 30 12.3 2.42 17 27.1 2.84 40 6/8/2/2 14016 4.85 11.9 62 12.6 13.8 53 5.86 12.9 49 5.75 12.3 39 6.67 32.3 24 7.49 10.3 42 6/10/2/2 21840 9.01 13.2 71 10.5 21.1 64 6.64 16.2 50 7.11 27.1 44 6.68 19.9 26 10.5 23.2 55 6/10/5/2 54600 16.5 12.2 132 21.3 18.3 129 10.1 8.68 121 8.82 7.27 97 16.6 16.7 49 13.4 14.9 98 7/5/5/2 18725 12.6 5.94 67 13.2 4.83 52 15.2 37.8 45 11.4 5.60 42 19.5 8.80 23 15.3 6.88 48 7/8/4/2 38080 20.5 19.6 76 27.2 13.9 69 16.0 19.6 54 14.9 11.9 47 23.3 15.2 27 20.7 15.9 61 7/10/5/2 74200 21.1 18.7 153 26.2 25.1 149 8.81 23.6 131 8.12 21.5 104 26.1 17.7 57 20.8 21.2 107 8/9/3/2 47088 12.2 21.5 103 14.2 31.3 96 11.4 32.9 82 7.69 20.6 74 11.7 21.3 44 11.7 30.4 90 8/10/5/2 96800 19.6 16.9 192 20.4 19.0 183 11.4 25.6 139 10.3 14.4 112 21.3 18.8 66 21.2 13.7 122 10/5/2/3 20300 10.5 10.31 67 15.3 14.8 59 7.61 14.2 53 5.23 9.45 42 9.50 16.2 24 6.49 15.0 53 10/5/2/4 25400 12.2 9.67 72 12.7 6.29 71 11.1 7.37 66 5.84 10.6 55 14.4 8.85 28 11.3 11.3 69 10/5/2/5 30500 7.69 5.28 79 9.93 4.82 78 7.33 1.14 64 5.23 7.71 52 18.4 9.48 24 11.4 7.93 64 10/5/3/5 45750 17.1 4.63 99 19.1 5.83 91 9.70 8.3 82 7.81 6.99 74 36.1 9.39 34 20.7 6.92 61 10/5/4/5 61000 21.4 4.11 158 24.2 6.96 154 19.2 9.9 129 9.61 6.90 97 43.9 6.62 54 18.9 8.60 99 10/5/5/5 76250 23.1 6.50 167 24.1 7.78 159 12.5 5.6 136 10.1 5.28 109 43.3 9.43 56 20.6 7.84 104 10/10/2/2 60400 9.03 65.3 137 9.34 52.2 138 5.43 44.3 116 4.16 32.2 95 9.10 95.6 39 6.67 46.6 99 10/10/4/5 242000 17.8 12.9 382 22.5 19.5 413 8.33 20.4 341 4.48 18.4 316 35.2 22.7 90 31.3 19.4 189 10/10/5/5 302500 11.4 21.5 403 15.2 17.6 396 6.40 20.6 361 5.66 10.1 328 28.9 17.2 99 25.6 18.6 183 15/10/2/2 135600 7.67 120 241 9.83 112 285 6.17 102 237 5.32 96.2 216 8.16 125 75 6.84 120 153 20/10/2/2 240800 5.68 141 372 6.82 115 385 4.06 180 363 3.18 100 331 8.32 146 84 6.68 153 158 25/10/2/2 376000 4.59 272 397 6.25 353 410 2.73 250 382 3.02 207 370 5.10 229 98 4.92 190 176 30/10/2/2 541200 6.08 162 440 9.13 204 463 3.34 324 424 2.72 220 419 6.05 254 126 5.05 305 213 35/10/2/2 736400 4.95 433 315 7.96 630 341 2.28 377 294 2.27 237 275 5.11 477 98 4.21 442 195 40/10/2/2 961600 5.38 530 410 5.40 511 439 2.01 466 396 2.06 355 314 6.47 547 93 5.06 442 162 45/10/2/2 1216800 4.04 402 469 8.81 587 482 1.75 692 451 1.06 321 412 4.18 456 112 4.14 371 239 50/10/2/2 1502000 4.75 863 472 8.23 595 458 1.94 825 462 1.43 401 464 5.88 975 87 4.75 667 235
