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)

MachinesProcessing 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

(b)

MachinesProcessing 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

(c)

MachinesProcessing times

84.631768.032797.814420.822322.064231.381740.4331
32.33334.49269.227731.461118.083683.034463.7339
83.933027.767637.383830.311833.634832.334722.3726
17.123322.62266.062874.234133.483439.433246.8303
83.623212.01339.470227.091737.077736.439461.8333
70.093830.890030.230243.123841.116031.337239.7248
64.984221.427093.839142.274827.213137.372939.4439
18.334631.979679.837811.126339.204328.383182.1932
93.327327.846763.810748.313267.971330.467047.9016
41.260334.320942.71334.621763.843323.618876.6038
77.136160.73127.421113.297666.33004.021331.2134
30.994733.161377.032042.04037.961074.302899.9878
93.426919.836330.691383.142910.302689.179893.6973
96.637067.60721.396430.336862.927629.039860.9821
66.826944.3931

3.807768.718467.786331.38604.003892.766482.9002
33.963932.980363.066788.788672.894680.203760.6660
43.863726.021893.042964.237893.167044.773147.8723
29.723724.920119.349317.868133.89138.741728.9312
63.830389.633611.333240.329274.762286.110990.3164
64.391674.10808.201990.628394.311392.243342.3333
32.983637.367987.311471.401093.024339.381942.0138
36.933931.293046.03032.392343.449322.632218.8634
3.267188.223217.181919.332831.44676.971933.8983
79.970133.302079.034673.381321.148368.093822.2373
31.039837.379331.138338.706936.429333.98892.4179
37.643421.229423.163839.866088.123318.231134.4082
39.380034.122142.713786.306097.803923.413940.0631
34.773673.737438.244373.944179.134831.984393.7063
11.433343.9139

37.007947.636386.738136.016923.99109.349791.3933
19.019192.320878.044377.939674.41319.10363.1612
69.813432.790310.203763.013043.430962.346449.9032
76.981423.663068.134224.893874.029677.429073.3663
94.142391.378922.341234.221718.223299.893363.0020
33.643889.071622.012310.233497.332832.266788.2888
94.888222.473361.883380.033130.47772.393886.1700
3.432624.942833.220276.133843.081891.604066.1194
79.367948.978912.806794.303486.616613.370693.9793
6.082237.380218.738621.641011.011983.026649.0443
83.117227.623033.391692.409633.011239.001330.3430
3.999474.397032.086377.083433.470329.936787.0861
36.193938.68702.303341.162931.403718.471460.3132
61.027823.866831.310916.406093.922730.726798.7219
31.240713.8634

79.303932.989747.691043.903236.000682.369666.3923
13.414293.843830.093120.077714.92848.692743.8123
37.73449.768218.39717.611376.394663.890494.7271
47.972247.833393.301748.322883.300271.686739.6977
37.004794.839744.004328.498973.263670.942931.1982
31.767367.937343.966990.921227.102333.336076.3692
37.114913.777499.941472.702969.093218.731132.1909
99.810393.361084.723097.380610.773478.110044.3464
10.002244.477316.030646.403120.433793.78491.8234
81.367443.692338.726337.333496.423718.670411.2710
81.280327.360139.364622.376392.638243.389738.6866
36.888299.777912.237316.363630.347889.747733.2003
4.20144.733774.499717.481160.447738.094263.8836
93.106093.782368.737478.932816.286331.74267.9919
9.790863.7969

46.018270.882742.333423.949478.714011.228887.7309
1.168273.294774.324733.386880.908430.397929.9039
10.088883.49438.136731.368393.099738.313664.6483
70.083673.431486.497234.803118.293030.862320.3774
23.202120.486993.382074.431482.473234.694694.8308
13.880936.438643.407332.838468.643899.16676.2637
33.448729.197742.622339.673319.370613.387764.6711
63.490663.713341.820693.128673.414387.188031.7227
43.934363.072439.680933.330099.378721.333692.2013
76.362323.430924.281481.000934.462246.73408.9193
23.366899.998311.672292.191837.661993.381336.9370
43.443740.486390.108090.723833.841339.747147.7907
18.268344.669310.912422.280323.889672.848874.6871
63.837344.399779.027234.208918.384313.034814.6130
47.63819.2464