Complexity / 2018 / Article / Tab 5 / Research Article
A Multifactory Integrated Production and Distribution Scheduling Problem with Parallel Machines and Immediate Shipments Solved by Improved Whale Optimization Algorithm Table 5 Mean
standard deviation
average of CPU time (s), and gap of GAMS (%) for medium-scale instances.
Number of variables IWOA WOA GA GA-MPC PSO SPSO GAMS MPD SD ACT MPD SD ACT MPD SD ACT MPD SD ACT MPD SD ACT MPD SD ACT PD GAP 2/4/2/2 416 0.2 0.02 16 0.80 0.07 16 0.30 0.14 14 1.43 0.52 13 0.30 0.03 8 3.25 0.63 11 11.2 57.6 2/5/2/2 640 4.1 0.19 18 6.30 0.24 18 4.80 0.19 16 6.23 0.17 14 5.30 0.24 9 9.12 0.62 14 25.7 54.8 2/6/2/2 912 3.3 0.54 16 3.60 0.87 20 7.70 1.14 14 9.36 0.97 15 3.90 1.10 8 7.12 3.82 14 50.1 58.2 2/7/2/2 1232 3.8 0.83 23 5.01 1.40 22 4.40 0.84 19 7.84 0.73 18 5.40 1.24 11 9.70 4.85 18 60.4 61.3 2/8/2/2 1600 5.6 1.50 19 8.20 1.43 20 5.80 1.20 19 7.34 1.01 19 3.50 0.90 15 6.56 1.31 24 80.5 62.7 2/9/2/2 2016 4.4 1.20 21 8.70 4.10 22 7.20 1.70 22 11.5 2.45 19 4.20 2.15 13 8.22 5.32 23 80.7 63.5 2/10/2/2 2480 7.6 2.40 27 13.4 3.24 25 8.90 1.90 21 13.6 4.51 19 7.30 2.30 12 11.9 3.39 21 80.6 59.1 2/5/3/2 960 6.5 0.29 29 9.46 0.90 22 8.20 0.57 27 11.9 0.43 26 6.80 5.40 19 9.73 0.53 25 22.9 57.3 2/6/3/2 1368 6.2 0.67 22 12.1 0.89 23 9.20 0.89 20 13.2 1.73 20 5.70 0.99 14 9.34 1.82 23 39.1 58.3 2/7/3/2 1848 8.5 0.80 18 13.3 1.34 19 9.10 0.80 22 16.1 1.06 19 11.2 1.87 12 13.5 0.58 21 28.3 61.4 2/8/3/2 2400 6.8 2.20 26 11.7 3.8 26 10.9 2.40 25 16.3 4.23 23 10.3 2.20 22 15.5 5.36 27 83.5 62.7 2/9/3/2 3024 11.5 1.40 28 13.2 2.15 23 11.6 2.55 28 17.5 3.44 26 12.1 2.86 13 21.3 3.58 30 138 64.2 2/10/3/2 3720 12.8 1.80 31 21.5 3.16 25 11.5 1.66 25 14.1 3.49 18 9.50 2.26 14 15.3 7.84 26 158.3 63.6 3/3/2/2 522 1.97 0.31 18 2.99 0.35 19 2.36 0.39 20 7.34 0.67 19 2.45 0.28 10 6.13 0.56 17 10.8 59.4 3/4/2/2 912 5.10 0.86 20 5.75 0.95 19 5.81 1.01 19 10.6 1.14 18 4.69 1.02 11 7.84 1.23 13 54.3 56.7 3/5/2/2 1410 2.9 0.57 19 6.40 2.30 17 5.30 1.80 22 9.92 2.03 19 5.60 1.90 12 10.5 2.01 23 41.1 59.5 3/6/2/2 2016 4.3 0.85 20 6.13 1.90 20 3.90 1.42 19 11.1 4.48 17 3.20 1.45 10 7.88 4.35 19 50.5 60.2 3/7/2/2 2730 4.1 2.05 26 9.21 3.30 24 5.70 2.61 20 12.2 4.43 18 3.90 2.06 14 8.23 4.36 25 59.4 56.1 3/8/2/2 3552 5.7 3.70 25 11.1 4.36 24 7.50 2.90 23 12.7 4.84 20 6.30 4.00 12 12.9 5.71 28 81.3 57.4 3/9/2/2 4482 4.3 2.47 27 6.61 4.95 22 3.90 4.90 21 8.42 4.11 21 4.70 6.01 15 8.19 4.43 34 55.2 67.6 3/10/2/2 5520 10 6.72 45 19.5 11.2 57 10.7 9.33 39 14.1 9.60 30 10.5 8.13 16 18.4 13.9 30 78.5 62.3 3/10/3/2 8280 9.8 4.80 47 18.1 5.60 55 9.10 5.70 51 11.8 4.80 55 9.20 5.50 19 18.1 5.88 36 97.9 74.3 4/2/2/2 416 0.33 0.20 19 1.70 0.20 15 0.41 0.16 16 3.45 0.24 14 0.40 0.10 9 4.23 0.12 14 13.4 55.9 4/3/2/2 912 6.1 0.86 18 11.7 1.43 16 12.0 1.32 19 19.2 1.74 19 7.04 1.10 12 12.8 1.78 23 51.6 57.5 4/4/2/2 1600 4.4 0.86 27 9.70 1.86 22 7.40 1.43 24 15.5 2.31 21 4.10 1.10 11 11.9 1.68 20 59.4 55.4 4/5/2/2 2480 2.8 1.38 29 8.20 3.34 25 6.20 2.15 20 12.6 5.32 18 4.50 2.15 10 9.82 4.39 30 41.1 61.5 4/6/2/2 3522 4.1 1.25 27 7.50 2.32 26 6.40 3.55 25 4.71 12.2 20 3.40 1.33 14 5.32 2.27 19 67.7 62.8 4/7/2/2 4816 5.6 1.88 31 7.81 4.08 29 8.20 4.69 28 8.85 4.06 22 5.20 4.12 18 9.38 5.48 33 60.4 66.9 4/8/2/2 6272 8.04 4.11 47 12.7 8.51 41 6.10 4.20 32 11.2 6.94 27 6.70 7.70 9 13.4 10.2 24 80.2 68.4 4/9/2/2 7920 8.91 7.7 52 11.5 12.6 49 7.17 10.8 30 13.3 15.5 47 5.90 13.8 18 10.5 11.3 34 80.11 72.3 4/10/2/2 9760 9.40 10.6 58 11.9 16.3 45 11.8 14.0 49 13.4 15.8 47 8.20 20.7 17 10.2 11.4 31 106.8 89.1 4/5/3/2 3720 11.1 1.74 28 15.3 2.69 27 15.3 4.14 22 20.6 3.60 20 11.1 4.08 12 17.6 3.04 29 135.9 58.0 4/6/3/2 5328 11.3 3.58 44 12.7 4.09 39 11.7 4.09 32 10.9 3.88 28 8.56 3.01 15 19.2 3.02 40 180.8 69.3 5/2/2/2 640 1.60 0.23 15 5.05 0.33 16 4.93 0.34 16 7.7 0.65 17 4.97 0.48 9 5.47 7.08 17 14.89 57.3 5/4/2/2 2480 7.58 2.35 22 9.48 3.98 22 12.5 4.24 20 15.7 1.97 21 6.19 2.77 12 15.6 4.49 19 102.5 58.1 5/6/2/2 5520 5.79 3.6 39 10.3 5.1 33 8.59 8.56 29 11.4 4.79 23 8.41 9.29 17 13.1 6.91 38 78.8 66.0 6/4/2/2 3552 8.46 3.00 26 15.1 4.64 24 7.71 2.09 22 15.2 2.88 19 5.97 3.03 13 14.3 3.37 32 98.7 61.2
