Table 5. The results of CEC2022 for all algorithm.
| Problem | HGJO | GJO | IGJO | RUN | AOA | DE | PSO | |
|---|---|---|---|---|---|---|---|---|
| F1 | Mean | 300.000 | 682.748 | 699.541 | 300.000 | 300.001 | 1215.047 | 1220.769 |
| Median | 300.000 | 439.932 | 456.433 | 300.000 | 300.000 | 1153.934 | 1217.032 | |
| Std | 1.228E-13 | 7.593E+02 | 7.395E+02 | 6.385E-05 | 1.627E-03 | 3.405E+02 | 6.384E+01 | |
| Time | 1.072 | 0.362 | 0.395 | 1.973 | 0.268 | 0.524 | 0.329 | |
| F2 | Mean | 403.472 | 425.274 | 422.150 | 403.587 | 405.245 | 405.504 | 434.336 |
| Median | 403.987 | 411.882 | 409.887 | 400.013 | 400.257 | 404.124 | 427.549 | |
| Std | 1.359E+00 | 2.210E+01 | 1.993E+01 | 4.363E+00 | 1.139E+01 | 2.219E+00 | 1.857E+01 | |
| Time | 1.149 | 0.362 | 0.389 | 1.976 | 0.271 | 0.533 | 0.327 | |
| F3 | Mean | 600.000 | 605.511 | 605.925 | 611.779 | 600.245 | 600.064 | 615.090 |
| Median | 600.000 | 604.463 | 605.740 | 608.887 | 600.097 | 600.061 | 612.536 | |
| Std | 1.419E-05 | 4.645E+00 | 4.768E+00 | 6.793E+00 | 2.906E-01 | 2.314E-02 | 5.356E+00 | |
| Time | 1.460 | 0.457 | 0.572 | 2.241 | 0.371 | 0.639 | 0.437 | |
| F4 | Mean | 808.762 | 819.404 | 822.509 | 823.847 | 817.139 | 861.592 | 845.546 |
| Median | 808.955 | 818.711 | 821.114 | 823.879 | 817.909 | 861.478 | 845.007 | |
| Std | 2.819E+00 | 5.913E+00 | 7.876E+00 | 6.765E+00 | 5.615E+00 | 1.967E+00 | 2.538E+00 | |
| Time | 1.246 | 0.394 | 0.448 | 2.041 | 0.303 | 0.568 | 0.363 | |
| F5 | Mean | 900.000 | 959.189 | 967.710 | 977.192 | 908.414 | 900.041 | 977.753 |
| Median | 900.000 | 951.961 | 942.420 | 968.285 | 900.454 | 900.014 | 977.414 | |
| Std | 3.771E-13 | 6.716E+01 | 8.875E+01 | 4.827E+01 | 3.302E+01 | 6.664E-02 | 6.523E+00 | |
| Time | 1.275 | 0.399 | 0.457 | 2.066 | 0.307 | 0.542 | 0.369 | |
| F6 | Mean | 1800.226 | 7151.939 | 7110.417 | 2921.693 | 2532.632 | 1814.253 | 4354616.518 |
| Median | 1800.211 | 8154.988 | 8182.686 | 2533.530 | 2171.087 | 1814.067 | 4264276.228 | |
| Std | 9.605E-02 | 2.193E+03 | 1.907E+03 | 1.012E+03 | 9.174E+02 | 1.567E+00 | 7.624E+05 | |
| Time | 1.202 | 0.371 | 0.408 | 1.988 | 0.280 | 0.540 | 0.343 | |
| F7 | Mean | 2006.963 | 2032.196 | 2037.376 | 2037.731 | 2021.994 | 2019.993 | 2064.246 |
| Median | 2001.372 | 2031.836 | 2034.197 | 2037.757 | 2021.643 | 2021.894 | 2062.244 | |
| Std | 8.907E+00 | 1.136E+01 | 1.121E+01 | 9.988E+00 | 9.576E+00 | 6.431E+00 | 5.565E+00 | |
| Time | 1.674 | 0.510 | 0.689 | 2.138 | 0.398 | 0.654 | 0.457 | |
| F8 | Mean | 2201.458 | 2224.956 | 2225.259 | 2223.042 | 2219.205 | 2210.591 | 2247.440 |
| Median | 2201.065 | 2225.255 | 2225.280 | 2223.540 | 2221.317 | 2207.073 | 2235.872 | |
| Std | 1.409E+00 | 4.580E+00 | 2.978E+00 | 1.564E+00 | 6.726E+00 | 8.650E+00 | 3.649E+01 | |
| Time | 1.667 | 0.548 | 0.761 | 2.302 | 0.482 | 0.747 | 0.528 | |
| F9 | Mean | 2529.284 | 2549.393 | 2551.107 | 2529.285 | 2493.923 | 2529.284 | 2545.972 |
| Median | 2529.284 | 2531.291 | 2541.380 | 2529.284 | 2493.923 | 2529.284 | 2536.194 | |
| Std | 0.000E+00 | 3.477E+01 | 2.645E+01 | 2.205E-04 | 8.775E-05 | 0.000E+00 | 3.849E+01 | |
| Time | 1.436 | 0.470 | 0.604 | 2.127 | 0.375 | 0.608 | 0.426 | |
| F10 | Mean | 2500.230 | 2570.959 | 2543.721 | 2530.174 | 2551.838 | 2500.876 | 2579.107 |
| Median | 2500.225 | 2614.641 | 2500.606 | 2500.631 | 2500.519 | 2500.874 | 2648.197 | |
| Std | 4.586E-02 | 6.120E+01 | 5.936E+01 | 5.094E+01 | 5.767E+01 | 6.567E-02 | 7.631E+01 | |
| Time | 1.350 | 0.460 | 0.579 | 2.026 | 0.352 | 0.580 | 0.413 | |
| F11 | Mean | 2600.000 | 2800.106 | 2725.587 | 2622.627 | 2644.051 | 2600.001 | 2808.208 |
| Median | 2600.000 | 2735.136 | 2731.824 | 2600.018 | 2600.001 | 2600.001 | 2761.214 | |
| Std | 1.947E-10 | 1.735E+02 | 9.684E+01 | 7.946E+01 | 1.051E+02 | 4.481E-04 | 1.260E+02 | |
| Time | 1.711 | 0.531 | 0.729 | 2.175 | 0.431 | 0.695 | 0.513 | |
| F12 | Mean | 2859.847 | 2865.104 | 2865.137 | 2863.978 | 2878.827 | 2861.082 | 2866.534 |
| Median | 2859.369 | 2864.532 | 2864.505 | 2863.883 | 2867.589 | 2861.405 | 2866.482 | |
| Std | 1.183E+00 | 3.054E+00 | 4.156E+00 | 1.668E+00 | 1.965E+01 | 9.283E-01 | 7.997E-01 | |
| Time | 1.699 | 0.554 | 0.768 | 2.202 | 0.443 | 0.699 | 0.513 | |
| Friedman mean rank | 1.1667 | 4.8333 | 5.0833 | 3.9583 | 3.3333 | 2.9583 | 6.6667 | |
| Rank | 1 | 5 | 6 | 4 | 3 | 2 | 7 | |