Table 19 Optimization results of the sustainable lot size optimization.
BOA | CMA–ES | EBOwithCMAR | SPS_L_SHADE_EIG | LSHADE_cnEpSi | LSHADE | WSO | AVOA | RSA | MPA | TSA | WOA | GWO | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Part 1 | Mean | 129,905.4 | 129,919 | 129,914.2 | 129,914.2 | 129,914.2 | 129,914.2 | 129,952.8 | 129,952.8 | 129,952.8 | 129,952.8 | 129,952.8 | 129,952.8 | 129,952.8 |
Best | 129,905.4 | 129,906 | 129,905.8 | 129,905.8 | 129,905.8 | 129,905.8 | 129,907.6 | 129,907.6 | 129,907.6 | 129,907.6 | 129,907.6 | 129,907.6 | 129,907.6 | |
Worst | 129,905.4 | 129,950 | 129,934.2 | 129,934.2 | 129,934.2 | 129,934.2 | 130,061.1 | 130,061.1 | 130,061.1 | 130,061.1 | 130,061.1 | 130,061.1 | 130,061.1 | |
Std | 2.99E–11 | 13.41759 | 8.667081 | 8.667081 | 8.667081 | 8.667081 | 46.86961 | 46.86961 | 46.86961 | 46.86961 | 46.86961 | 46.86961 | 46.86961 | |
Median | 129,905.4 | 129,913.7 | 129,910.8 | 129,910.8 | 129,910.8 | 129,910.8 | 129,934.4 | 129,934.4 | 129,934.4 | 129,934.4 | 129,934.4 | 129,934.4 | 129,934.4 | |
Rank | 1 | 3 | 2 | 2 | 2 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | |
Part 2 | Mean | 14,450.67 | 14,452.04 | 14,451.56 | 14,451.56 | 14,451.56 | 14,451.56 | 14,455.46 | 14,455.46 | 14,455.46 | 14,455.46 | 14,455.46 | 14,455.46 | 14,455.46 |
Best | 14,450.67 | 14,450.68 | 14,450.68 | 14,450.68 | 14,450.68 | 14,450.68 | 14,450.71 | 14,450.71 | 14,450.71 | 14,450.71 | 14,450.71 | 14,450.71 | 14,450.71 | |
Worst | 14,450.67 | 14,455.72 | 14,453.94 | 14,453.94 | 14,453.94 | 14,453.94 | 14,468.32 | 14,468.32 | 14,468.32 | 14,468.32 | 14,468.32 | 14,468.32 | 14,468.32 | |
Std | 3.73E–12 | 1.485459 | 0.959531 | 0.959531 | 0.959531 | 0.959531 | 5.188926 | 5.188926 | 5.188926 | 5.188926 | 5.188926 | 5.188926 | 5.188926 | |
Median | 14,450.67 | 14,451.54 | 14,451.23 | 14,451.23 | 14,451.23 | 14,451.23 | 14,453.7 | 14,453.7 | 14,453.7 | 14,453.7 | 14,453.7 | 14,453.7 | 14,453.7 | |
Rank | 1 | 3 | 2 | 2 | 2 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | |
Part 3 | Mean | 111,778.3 | 111,778.3 | 111,796.2 | 111,814 | 111,778.3 | 111,778.3 | 111,778.3 | 111,797.4 | 111,816.4 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 |
Best | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | |
Worst | 111,778.3 | 111,778.3 | 111,906.6 | 112,034.9 | 111,778.3 | 111,778.3 | 111,778.3 | 111,915.4 | 112,052.4 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | |
Std | 1.33E–10 | 6.94E–05 | 35.16629 | 70.33257 | 4.48E–05 | 4.56E–05 | 0.000242 | 37.5708 | 75.14148 | 0.000242 | 0.000243 | 0.000242 | 0.000243 | |
Median | 111,778.3 | 111,778.3 | 111,783.5 | 111,788.6 | 111,778.3 | 111,778.3 | 111,778.3 | 111,783.8 | 111,789.3 | 111,778.3 | 111,778.3 | 111,778.3 | 111,778.3 | |
Rank | 1 | 4 | 9 | 11 | 2 | 3 | 5 | 10 | 12 | 5 | 8 | 6 | 7 | |
Part 4 | Mean | 124,853.9 | 124,855.9 | 124,855.2 | 124,855.2 | 124,855.2 | 124,855.2 | 124,860.8 | 124,860.8 | 124,860.8 | 124,860.8 | 124,860.8 | 124,860.8 | 124,860.8 |
Best | 124,853.9 | 124,854.1 | 124,854 | 124,854 | 124,854 | 124,854 | 124,854.6 | 124,854.6 | 124,854.6 | 124,854.6 | 124,854.6 | 124,854.6 | 124,854.6 | |
Worst | 124,853.9 | 124,860.3 | 124,858 | 124,858 | 124,858 | 124,858 | 124,876 | 124,876 | 124,876 | 124,876 | 124,876 | 124,876 | 124,876 | |
Std | 0 | 2.054932 | 1.327381 | 1.327381 | 1.327381 | 1.327381 | 7.178177 | 7.178177 | 7.178177 | 7.178177 | 7.178177 | 7.178177 | 7.178177 | |
Median | 124,853.9 | 124,855 | 124,854.6 | 124,854.6 | 124,854.6 | 124,854.6 | 124,857.5 | 124,857.5 | 124,857.5 | 124,857.5 | 124,857.5 | 124,857.5 | 124,857.5 | |
Rank | 1 | 3 | 2 | 2 | 2 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | |
Part 5 | Mean | 120,571.8 | 120,585.3 | 120,580.5 | 120,580.5 | 120,580.5 | 120,580.5 | 120,618.8 | 120,618.8 | 120,618.8 | 120,618.8 | 120,618.8 | 120,618.8 | 120,618.8 |
Best | 120,571.8 | 120,572 | 120,572 | 120,572 | 120,572 | 120,572 | 120,572.6 | 120,572.6 | 120,572.6 | 120,572.6 | 120,572.6 | 120,572.6 | 120,572.6 | |
Worst | 120,571.8 | 120,634.9 | 120,612.6 | 120,612.6 | 120,612.6 | 120,612.6 | 120,792.1 | 120,792.1 | 120,792.1 | 120,792.1 | 120,792.1 | 120,792.1 | 120,792.1 | |
Std | 4.48E–11 | 16.58916 | 10.71575 | 10.71575 | 10.71575 | 10.71575 | 57.94835 | 57.94835 | 57.94835 | 57.94835 | 57.94835 | 57.94835 | 57.94835 | |
Median | 120,571.8 | 120,578.6 | 120,576.2 | 120,576.2 | 120,576.2 | 120,576.2 | 120,595.7 | 120,595.7 | 120,595.7 | 120,595.7 | 120,595.7 | 120,595.7 | 120,595.7 | |
Rank | 1 | 3 | 2 | 2 | 2 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | |
Part 6 | Mean | 287,556.1 | 287,583.9 | 287,574 | 287,574 | 287,574 | 287,574 | 287,653 | 287,653 | 287,653 | 287,653 | 287,653 | 287,653 | 287,653 |
Best | 287,556.1 | 287,557 | 287,556.7 | 287,556.7 | 287,556.7 | 287,556.7 | 287,559.2 | 287,559.2 | 287,559.2 | 287,559.2 | 287,559.2 | 287,559.2 | 287,559.2 | |
Worst | 287,556.1 | 287,646.6 | 287,614.6 | 287,614.6 | 287,614.6 | 287,614.6 | 287,872.2 | 287,872.2 | 287,872.2 | 287,872.2 | 287,872.2 | 287,872.2 | 287,872.2 | |
Std | 0 | 22.96211 | 14.83235 | 14.83235 | 14.83235 | 14.83235 | 80.21001 | 80.21001 | 80.21001 | 80.21001 | 80.21001 | 80.21001 | 80.21001 | |
Median | 287,556.1 | 287,581.4 | 287,572.5 | 287,572.5 | 287,572.5 | 287,572.5 | 287,644.5 | 287,644.5 | 287,644.5 | 287,644.5 | 287,644.5 | 287,644.5 | 287,644.5 | |
Rank | 1 | 3 | 2 | 2 | 2 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | |
Part 7 | Mean | 128,804.9 | 128,804.9 | 128,830.7 | 128,856.6 | 128,804.9 | 128,804.9 | 128,804.9 | 128,832.5 | 128,860.1 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 |
Best | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | |
Worst | 128,804.9 | 128,804.9 | 128,864.6 | 128,924.2 | 128,804.9 | 128,804.9 | 128,804.9 | 128,868.7 | 128,932.4 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | |
Std | 2.01E–10 | 0.001365 | 25.11465 | 50.22921 | 0.000882 | 0.000882 | 0.00477 | 26.83216 | 53.66387 | 0.00477 | 0.004769 | 0.00477 | 0.004772 | |
Median | 128,804.9 | 128,804.9 | 128,823.5 | 128,842.1 | 128,804.9 | 128,804.9 | 128,804.9 | 128,824.7 | 128,844.6 | 128,804.9 | 128,804.9 | 128,804.9 | 128,804.9 | |
Rank | 1 | 4 | 8 | 10 | 2 | 3 | 5 | 9 | 11 | 5 | 7 | 5 | 6 | |
Part 8 | Mean | 20,368.81 | 20,370.41 | 20,369.84 | 20,369.84 | 20,369.84 | 20,369.84 | 20,374.4 | 20,374.4 | 20,374.4 | 20,374.4 | 20,374.4 | 20,374.4 | 20,374.4 |
Best | 20,368.81 | 20,368.92 | 20,368.88 | 20,368.88 | 20,368.88 | 20,368.88 | 20,369.21 | 20,369.21 | 20,369.21 | 20,369.21 | 20,369.21 | 20,369.21 | 20,369.21 | |
Worst | 20,368.81 | 20,373.6 | 20,371.91 | 20,371.91 | 20,371.91 | 20,371.91 | 20,385.56 | 20,385.56 | 20,385.56 | 20,385.56 | 20,385.56 | 20,385.56 | 20,385.56 | |
Std | 3.73E–12 | 1.117506 | 0.721852 | 0.721852 | 0.721852 | 0.721852 | 3.903613 | 3.903613 | 3.903613 | 3.903613 | 3.903613 | 3.903613 | 3.903613 | |
Median | 20,368.81 | 20,370.32 | 20,369.79 | 20,369.79 | 20,369.79 | 20,369.79 | 20,374.1 | 20,374.1 | 20,374.1 | 20,374.1 | 20,374.1 | 20,374.1 | 20,374.1 | |
Rank | 1 | 5 | 2 | 3 | 4 | 4 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | |
Part 9 | Mean | 4366.721 | 4366.721 | 4366.74 | 4366.759 | 4366.721 | 4366.721 | 4366.721 | 4366.741 | 4366.762 | 4366.721 | 4366.721 | 4366.721 | 4366.721 |
Best | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | |
Worst | 4366.721 | 4366.721 | 4366.912 | 4367.104 | 4366.721 | 4366.721 | 4366.721 | 4366.926 | 4367.13 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | |
Std | 2.3E–12 | 3.64E–12 | 0.044425 | 0.08885 | 9.95E–09 | 2.1E–08 | 1.21E–11 | 0.047462 | 0.094925 | 1.23E–11 | 2.25E–08 | 1.22E–11 | 5.38E–08 | |
Median | 4366.721 | 4366.721 | 4366.722 | 4366.724 | 4366.721 | 4366.721 | 4366.721 | 4366.723 | 4366.725 | 4366.721 | 4366.721 | 4366.721 | 4366.721 | |
Rank | 1 | 2 | 8 | 10 | 4 | 5 | 3 | 9 | 11 | 3 | 6 | 3 | 7 | |
Part 10 | Mean | 15,556.91 | 15,558.26 | 15,557.78 | 15,557.78 | 15,557.78 | 15,557.78 | 15,561.61 | 15,561.61 | 15,561.61 | 15,561.61 | 15,561.61 | 15,561.61 | 15,561.61 |
Best | 15,556.91 | 15,557.02 | 15,556.98 | 15,556.98 | 15,556.98 | 15,556.98 | 15,557.28 | 15,557.28 | 15,557.28 | 15,557.28 | 15,557.28 | 15,557.28 | 15,557.28 | |
Worst | 15,556.91 | 15,560.59 | 15,559.29 | 15,559.29 | 15,559.29 | 15,559.29 | 15,569.75 | 15,569.75 | 15,569.75 | 15,569.75 | 15,569.75 | 15,569.75 | 15,569.75 | |
Std | 7.46E–12 | 0.972823 | 0.628394 | 0.628394 | 0.628394 | 0.628394 | 3.398214 | 3.398214 | 3.398214 | 3.398214 | 3.398214 | 3.398214 | 3.398214 | |
Median | 15,556.91 | 15,558.6 | 15,558 | 15,558 | 15,558 | 15,558 | 15,562.79 | 15,562.79 | 15,562.79 | 15,562.79 | 15,562.79 | 15,562.79 | 15,562.79 | |
Rank | 1 | 3 | 2 | 2 | 2 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | |
Sum rank | 10 | 33 | 39 | 46 | 24 | 27 | 43 | 58 | 64 | 43 | 51 | 44 | 50 | |
Mean rank | 1 | 3.3 | 3.9 | 4.6 | 2.4 | 2.7 | 4.3 | 5.8 | 6.4 | 4.3 | 5.1 | 4.4 | 5 | |
Total rank | 1 | 4 | 5 | 8 | 2 | 3 | 6 | 11 | 12 | 6 | 10 | 7 | 9 | |
