Research Article
A Mutualism Quantum Genetic Algorithm to Optimize the Flow Shop Scheduling with Pickup and Delivery Considerations
Table 9
(a) N(TA1): 50 jobs * 5 machines. (b) N(TA2): 50 jobs * 10 machines. (c) TA3: 100 jobs * 5 machines.
(a) |
| Machines | Processing times |
| | 73 87 13 11 41 43 93 69 80 13 24 72 38 81 83 88 26 6 89 67 70 30 89 30 68 21 78 46 99 10 17 23 83 47 86 18 67 46 4 14 4 20 88 30 84 38 93 76 30 30 |
| | 26 37 23 93 49 12 39 17 46 20 32 44 92 73 93 33 10 43 2 62 62 82 29 29 94 20 42 80 94 33 8 41 63 4 71 30 14 32 30 30 27 98 39 84 63 12 38 43 49 13 |
| | 48 4 92 92 72 43 3 98 93 17 79 11 16 89 81 92 43 61 39 28 94 87 23 1 33 91 67 91 4 60 38 23 90 93 13 63 23 34 47 98 91 11 46 30 77 3 14 47 80 43 |
| | 26 67 4 14 93 34 21 20 6 18 73 23 16 77 28 24 13 77 36 16 32 46 21 81 28 70 89 34 96 62 46 60 19 97 13 7 44 7 73 13 66 70 97 33 97 64 73 28 4 87 |
| | 77 94 9 37 29 79 33 73 63 86 23 39 76 24 38 3 91 29 22 27 39 31 46 18 93 38 83 38 97 10 79 93 2 87 17 18 10 30 8 26 14 21 13 10 83 46 42 18 36 2 |
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(b) |
| Machines | Processing times |
| | 46 32 79 43 97 10 44 24 83 73 66 49 93 61 19 47 84 13 11 19 98 2 83 44 7 73 19 69 12 73 83 23 33 16 88 8 26 42 38 63 7 2 44 38 24 76 83 61 32 90 |
| | 61 87 31 23 73 93 28 90 94 39 64 2 16 33 33 40 81 26 83 4 4 10 63 96 33 71 66 94 7 13 11 99 37 30 36 69 22 36 67 63 96 74 4 42 40 30 93 36 23 87 |
| | 31 38 83 33 71 38 36 64 43 48 69 96 33 82 33 64 11 61 36 33 87 88 10 32 38 23 24 90 7 11 49 2 76 17 32 39 9 83 69 67 28 88 23 91 71 3 26 41 96 |
| | 31 24 21 37 69 31 30 31 21 19 63 91 11 6 31 63 36 39 37 47 36 63 39 4 10 12 62 43 49 34 87 29 2 18 73 39 77 69 13 78 68 37 22 41 92 67 24 87 91 31 |
| | 37 16 42 47 94 14 94 34 72 36 88 31 41 71 94 99 11 97 44 77 69 91 38 23 87 7 66 34 86 49 3 48 44 93 37 82 31 39 78 33 36 3 38 10 98 6 44 62 24 94 |
| | 79 93 68 73 37 44 34 39 76 62 74 28 78 43 98 83 91 27 6 82 60 44 43 76 99 66 11 33 32 8 40 62 23 24 30 1 73 27 16 91 33 11 99 2 60 90 36 62 13 3 |
| | 83 87 38 38 86 67 23 19 97 78 66 67 7 23 67 8 77 71 83 29 49 3 94 76 93 48 4 37 82 37 61 6 97 3 27 93 46 92 46 32 8 11 7 34 72 37 83 22 87 63 |
| | 22 29 99 23 98 33 80 82 33 68 47 74 26 61 93 33 11 42 72 14 8 98 90 36 73 69 26 24 33 98 86 30 92 94 66 47 3 41 41 47 89 28 39 80 47 37 74 38 39 3 |
| | 27 92 73 94 18 41 37 38 36 20 2 39 91 81 33 14 88 22 36 63 79 23 66 3 13 31 2 81 12 40 39 32 16 87 78 41 43 94 1 93 22 93 62 33 30 34 27 30 34 77 |
| | 24 47 39 66 41 46 24 23 68 30 93 22 64 81 94 97 34 82 11 91 23 32 26 22 12 23 34 87 39 2 38 84 62 10 11 93 37 81 10 40 62 49 90 34 11 81 31 21 39 27 |
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(c) |
| Machines | Processing times |
| | 84.6317 | 68.0327 | 97.8144 | 20.8223 | 22.0642 | 31.3817 | 40.4331 | 32.3333 | 4.4926 | 9.2277 | 31.4611 | 18.0836 | 83.0344 | 63.7339 | 83.9330 | 27.7676 | 37.3838 | 30.3118 | 33.6348 | 32.3347 | 22.3726 | 17.1233 | 22.6226 | 6.0628 | 74.2341 | 33.4834 | 39.4332 | 46.8303 | 83.6232 | 12.0133 | 9.4702 | 27.0917 | 37.0777 | 36.4394 | 61.8333 | 70.0938 | 30.8900 | 30.2302 | 43.1238 | 41.1160 | 31.3372 | 39.7248 | 64.9842 | 21.4270 | 93.8391 | 42.2748 | 27.2131 | 37.3729 | 39.4439 | 18.3346 | 31.9796 | 79.8378 | 11.1263 | 39.2043 | 28.3831 | 82.1932 | 93.3273 | 27.8467 | 63.8107 | 48.3132 | 67.9713 | 30.4670 | 47.9016 | 41.2603 | 34.3209 | 42.7133 | 4.6217 | 63.8433 | 23.6188 | 76.6038 | 77.1361 | 60.7312 | 7.4211 | 13.2976 | 66.3300 | 4.0213 | 31.2134 | 30.9947 | 33.1613 | 77.0320 | 42.0403 | 7.9610 | 74.3028 | 99.9878 | 93.4269 | 19.8363 | 30.6913 | 83.1429 | 10.3026 | 89.1798 | 93.6973 | 96.6370 | 67.6072 | 1.3964 | 30.3368 | 62.9276 | 29.0398 | 60.9821 | 66.8269 | 44.3931 | | | | | |
| | 3.8077 | 68.7184 | 67.7863 | 31.3860 | 4.0038 | 92.7664 | 82.9002 | 33.9639 | 32.9803 | 63.0667 | 88.7886 | 72.8946 | 80.2037 | 60.6660 | 43.8637 | 26.0218 | 93.0429 | 64.2378 | 93.1670 | 44.7731 | 47.8723 | 29.7237 | 24.9201 | 19.3493 | 17.8681 | 33.8913 | 8.7417 | 28.9312 | 63.8303 | 89.6336 | 11.3332 | 40.3292 | 74.7622 | 86.1109 | 90.3164 | 64.3916 | 74.1080 | 8.2019 | 90.6283 | 94.3113 | 92.2433 | 42.3333 | 32.9836 | 37.3679 | 87.3114 | 71.4010 | 93.0243 | 39.3819 | 42.0138 | 36.9339 | 31.2930 | 46.0303 | 2.3923 | 43.4493 | 22.6322 | 18.8634 | 3.2671 | 88.2232 | 17.1819 | 19.3328 | 31.4467 | 6.9719 | 33.8983 | 79.9701 | 33.3020 | 79.0346 | 73.3813 | 21.1483 | 68.0938 | 22.2373 | 31.0398 | 37.3793 | 31.1383 | 38.7069 | 36.4293 | 33.9889 | 2.4179 | 37.6434 | 21.2294 | 23.1638 | 39.8660 | 88.1233 | 18.2311 | 34.4082 | 39.3800 | 34.1221 | 42.7137 | 86.3060 | 97.8039 | 23.4139 | 40.0631 | 34.7736 | 73.7374 | 38.2443 | 73.9441 | 79.1348 | 31.9843 | 93.7063 | 11.4333 | 43.9139 | | | | | |
| | 37.0079 | 47.6363 | 86.7381 | 36.0169 | 23.9910 | 9.3497 | 91.3933 | 19.0191 | 92.3208 | 78.0443 | 77.9396 | 74.4131 | 9.1036 | 3.1612 | 69.8134 | 32.7903 | 10.2037 | 63.0130 | 43.4309 | 62.3464 | 49.9032 | 76.9814 | 23.6630 | 68.1342 | 24.8938 | 74.0296 | 77.4290 | 73.3663 | 94.1423 | 91.3789 | 22.3412 | 34.2217 | 18.2232 | 99.8933 | 63.0020 | 33.6438 | 89.0716 | 22.0123 | 10.2334 | 97.3328 | 32.2667 | 88.2888 | 94.8882 | 22.4733 | 61.8833 | 80.0331 | 30.4777 | 2.3938 | 86.1700 | 3.4326 | 24.9428 | 33.2202 | 76.1338 | 43.0818 | 91.6040 | 66.1194 | 79.3679 | 48.9789 | 12.8067 | 94.3034 | 86.6166 | 13.3706 | 93.9793 | 6.0822 | 37.3802 | 18.7386 | 21.6410 | 11.0119 | 83.0266 | 49.0443 | 83.1172 | 27.6230 | 33.3916 | 92.4096 | 33.0112 | 39.0013 | 30.3430 | 3.9994 | 74.3970 | 32.0863 | 77.0834 | 33.4703 | 29.9367 | 87.0861 | 36.1939 | 38.6870 | 2.3033 | 41.1629 | 31.4037 | 18.4714 | 60.3132 | 61.0278 | 23.8668 | 31.3109 | 16.4060 | 93.9227 | 30.7267 | 98.7219 | 31.2407 | 13.8634 | | | | | |
| | 79.3039 | 32.9897 | 47.6910 | 43.9032 | 36.0006 | 82.3696 | 66.3923 | 13.4142 | 93.8438 | 30.0931 | 20.0777 | 14.9284 | 8.6927 | 43.8123 | 37.7344 | 9.7682 | 18.3971 | 7.6113 | 76.3946 | 63.8904 | 94.7271 | 47.9722 | 47.8333 | 93.3017 | 48.3228 | 83.3002 | 71.6867 | 39.6977 | 37.0047 | 94.8397 | 44.0043 | 28.4989 | 73.2636 | 70.9429 | 31.1982 | 31.7673 | 67.9373 | 43.9669 | 90.9212 | 27.1023 | 33.3360 | 76.3692 | 37.1149 | 13.7774 | 99.9414 | 72.7029 | 69.0932 | 18.7311 | 32.1909 | 99.8103 | 93.3610 | 84.7230 | 97.3806 | 10.7734 | 78.1100 | 44.3464 | 10.0022 | 44.4773 | 16.0306 | 46.4031 | 20.4337 | 93.7849 | 1.8234 | 81.3674 | 43.6923 | 38.7263 | 37.3334 | 96.4237 | 18.6704 | 11.2710 | 81.2803 | 27.3601 | 39.3646 | 22.3763 | 92.6382 | 43.3897 | 38.6866 | 36.8882 | 99.7779 | 12.2373 | 16.3636 | 30.3478 | 89.7477 | 33.2003 | 4.2014 | 4.7337 | 74.4997 | 17.4811 | 60.4477 | 38.0942 | 63.8836 | 93.1060 | 93.7823 | 68.7374 | 78.9328 | 16.2863 | 31.7426 | 7.9919 | 9.7908 | 63.7969 | | | | | |
| | 46.0182 | 70.8827 | 42.3334 | 23.9494 | 78.7140 | 11.2288 | 87.7309 | 1.1682 | 73.2947 | 74.3247 | 33.3868 | 80.9084 | 30.3979 | 29.9039 | 10.0888 | 83.4943 | 8.1367 | 31.3683 | 93.0997 | 38.3136 | 64.6483 | 70.0836 | 73.4314 | 86.4972 | 34.8031 | 18.2930 | 30.8623 | 20.3774 | 23.2021 | 20.4869 | 93.3820 | 74.4314 | 82.4732 | 34.6946 | 94.8308 | 13.8809 | 36.4386 | 43.4073 | 32.8384 | 68.6438 | 99.1667 | 6.2637 | 33.4487 | 29.1977 | 42.6223 | 39.6733 | 19.3706 | 13.3877 | 64.6711 | 63.4906 | 63.7133 | 41.8206 | 93.1286 | 73.4143 | 87.1880 | 31.7227 | 43.9343 | 63.0724 | 39.6809 | 33.3300 | 99.3787 | 21.3336 | 92.2013 | 76.3623 | 23.4309 | 24.2814 | 81.0009 | 34.4622 | 46.7340 | 8.9193 | 23.3668 | 99.9983 | 11.6722 | 92.1918 | 37.6619 | 93.3813 | 36.9370 | 43.4437 | 40.4863 | 90.1080 | 90.7238 | 33.8413 | 39.7471 | 47.7907 | 18.2683 | 44.6693 | 10.9124 | 22.2803 | 23.8896 | 72.8488 | 74.6871 | 63.8373 | 44.3997 | 79.0272 | 34.2089 | 18.3843 | 13.0348 | 14.6130 | 47.6381 | 9.2464 | | | | | |
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