Table 9.
Evaluation results of four real-world applications.
| GA | PSO | GSA | TLBO | MVO | GWO | WOA | TSA | MPA | RSA | AVOA | STBO | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| PVD | Mean | 6645.562 | 6265.49 | 6842.164 | 6328.261 | 6478.841 | 6066.455 | 5892.921 | 5888.84 | 6117.763 | 6038.652 | 5963.405 | 5888.170 |
| Best | 6581.043 | 5918.224 | 11,605 | 6166.438 | 6039.984 | 5919.289 | 5917.261 | 5913.451 | 6109.88 | 6031.364 | 5958.117 | 5884.882 | |
| Worst | 8007.337 | 7007.411 | 7160.988 | 6513.898 | 7252.635 | 7396.34 | 5896.021 | 5893.718 | 6129.069 | 6042.513 | 5968.94 | 5895.379 | |
| Std | 657.679 | 496.2457 | 5791.998 | 126.639 | 327.0846 | 66.63439 | 13.91331 | 28.93686 | 38.24161 | 31.18698 | 27.451658 | 23.71639 | |
| Median | 7587.808 | 6114.139 | 6839.254 | 6319.815 | 6398.997 | 6417.635 | 5892.046 | 5887.624 | 6115.578 | 6036.744 | 5962.3195 | 5887.907 | |
| Rank | 11 | 8 | 12 | 9 | 10 | 6 | 3 | 2 | 7 | 5 | 4 | 1 | |
| SRD | Mean | 3190.666 | 3174.457 | 3069.904 | 3032.78 | 3109.29 | 3009.754 | 3003.541 | 3011.73 | 3001.864 | 3000.171 | 3000.197 | 3000.029 |
| Best | 3070.629 | 3054.173 | 3033.594 | 3005.931 | 3008.769 | 3004.291 | 3001.55 | 3004.837 | 2996.216 | 2996.171 | 2995.7775 | 2995.39 | |
| Worst | 3317.508 | 3368.247 | 3108.816 | 3064.938 | 3215.349 | 3012.665 | 3007.795 | 3027.316 | 3007.093 | 3002.173 | 3001.897 | 3001.627 | |
| Std | 17.14086 | 92.69298 | 18.0977 | 13.03553 | 79.74166 | 5.845531 | 1.934443 | 10.36808 | 5.219098 | 2.015032 | 1.8193737 | 1.623719 | |
| Med | 3202.346 | 3160.857 | 3069.595 | 3030.968 | 3109.29 | 3008.426 | 3003.087 | 3010.34 | 3000.431 | 2999.836 | 2999.4455 | 2999.061 | |
| Rank | 12 | 11 | 9 | 8 | 10 | 6 | 5 | 7 | 4 | 2 | 3 | 1 | |
| WBD | Mean | 1.96595 | 2.123005 | 2.54876 | 1.820886 | 1.732754 | 2.234273 | 1.730198 | 1.728896 | 1.892096 | 1.725025 | 1.7248133 | 1.724605 |
| Best | 1.83841 | 1.876176 | 2.175414 | 1.761242 | 1.727502 | 1.822536 | 1.729027 | 1.727691 | 1.866157 | 1.727296 | 1.7252098 | 1.723127 | |
| Worst | 2.038864 | 2.324247 | 3.008994 | 1.876738 | 1.744746 | 3.053648 | 1.730634 | 1.729132 | 2.016418 | 1.727726 | 1.7272073 | 1.726692 | |
| Std | 0.139733 | 0.034882 | 0.256314 | 0.027592 | 0.004875 | 0.325102 | 0.001159 | 0.000287 | 0.00796 | 0.005124 | 0.004724 | 0.004324 | |
| Median | 1.939188 | 2.100775 | 2.499548 | 1.823362 | 1.73049 | 2.248652 | 1.730157 | 1.728855 | 1.883578 | 1.725997 | 1.7249368 | 1.72388 | |
| Rank | 9 | 10 | 12 | 7 | 6 | 11 | 5 | 4 | 8 | 3 | 2 | 1 | |
| TCSD | Mean | 0.013192 | 0.014166 | 0.013564 | 0.01296 | 0.014599 | 0.014956 | 0.012816 | 0.012803 | 0.013898 | 0.0128 | 0.012737 | 0.012674 |
| Best | 0.012889 | 0.013151 | 0.012987 | 0.012822 | 0.01293 | 0.013309 | 0.01279 | 0.012786 | 0.013218 | 0.012768 | 0.01271 | 0.012652 | |
| Worst | 0.015356 | 0.016403 | 0.014345 | 0.01312 | 0.018006 | 0.018029 | 0.01284 | 0.012834 | 0.01583 | 0.012812 | 0.0127475 | 0.012683 | |
| Std | 0.000378 | 0.002092 | 0.000289 | 0.007831 | 0.001637 | 0.002293 | 0.004193 | 0.005671 | 0.006141 | 0.007417 | 0.004219 | 0.001021 | |
| Med | 0.013073 | 0.013123 | 0.013492 | 0.012965 | 0.014151 | 0.013316 | 0.012819 | 0.012806 | 0.013776 | 0.01279 | 0.0127305 | 0.012671 | |
| Rank | 7 | 10 | 8 | 6 | 11 | 12 | 5 | 4 | 9 | 3 | 2 | 1 | |
| Sum rank | 39 | 39 | 41 | 30 | 37 | 35 | 18 | 17 | 28 | 13 | 11 | 4 | |
| Mean rank | 9.75 | 9.75 | 10.25 | 7.5 | 9.25 | 8.75 | 4.5 | 4.25 | 7 | 3.25 | 2.75 | 1 | |
| Total rank | 8 | 11 | 12 | 7 | 10 | 9 | 5 | 4 | 6 | 3 | 2 | 1 | |