Table 3.
Comparison results of CSO algorithm with modern metaheuristic algorithms.
| CSO | DA | BOA | FDO | f min | |||||
|---|---|---|---|---|---|---|---|---|---|
| Functions | AV | STD | AV | STD | AV | STD | AV | STD | |
| F1 | 3.50E − 14 | 6.34E − 14 | 15.24805 | 23.78914 | 1.01E − 11 | 1.66E − 12 | 2.13E − 23 | 1.06E − 22 | 0 |
| F2 | 2.68E − 08 | 2.61E − 08 | 1.458012 | 0.869819 | 4.65E − 09 | 4.63E − 10 | 0.047175 | 0.188922 | 0 |
| F3 | 7.17E − 09 | 1.16E − 08 | 136.259 | 151.9406 | 1.08E − 11 | 1.71E − 12 | 2.39E − 06 | 1.28E − 05 | 0 |
| F4 | 0.010352 | 0.007956 | 3.262584 | 2.112636 | 5.25E − 09 | 5.53E − 10 | 4.93E − 08 | 9.09E − 08 | 0 |
| F5 | 8.587858 | 0.598892 | 374.9048 | 691.5889 | 8.935518 | 0.02146 | 21.58376 | 39.66721 | 0 |
| F6 | 1.151759 | 0.431511 | 12.07847 | 17.97414 | 1.04685 | 0.346543 | 7.15E − 22 | 2.80E − 21 | 0 |
| F7 | 0.026026 | 0.015039 | 0.035679 | 0.023538 | 0.001513 | 0.00056 | 0.612389 | 0.299315 | 0 |
| F8 | −2855.11 | 359.1697 | −2814.14 | 432.944 | NA | NA | −10502.1 | 15188.77 | −418.9829 × 5 |
| F9 | 24.01772 | 6.480946 | 26.53478 | 11.20011 | 28.6796 | 20.17813 | 7.940883 | 4.110302 | 0 |
| F10 | 3.754226 | 1.680534 | 2.827344 | 1.042434 | 3.00E − 09 | 1.16E − 09 | 7.76E − 15 | 2.46E − 15 | 0 |
| F11 | 0.355631 | 0.19145 | 0.680359 | 0.353454 | 1.35E − 13 | 6.27E − 14 | 0.175694 | 0.148586 | 0 |
| F12 | 1.900773 | 1.379549 | 2.083215 | 1.436402 | 0.130733 | 0.084891 | 7.737715 | 4.714534 | 0 |
| F13 | 1.160662 | 0.53832 | 1.072302 | 1.327413 | 0.451355 | 0.138253 | 4.724571 | 6.448214 | 0 |
| F14 | 0.998004 | 3.39E − 07 | 1.064272 | 0.252193 | 1.52699 | 0.841504 | 2.448453 | 1.766953 | 1 |
| F15 | 0.001079 | 0.00117 | 0.005567 | 0.012211 | 0.000427 | 9.87E − 05 | 0.001492 | 0.003609 | 0.00030 |
| F16 | −1.03162 | 1.53E − 05 | −1.03163 | 4.76E − 07 | NA | NA | −1.00442 | 0.149011 | −1.0316 |
| F17 | 0.304253 | 1.81E − 06 | 0.304251 | 0 | 0.310807 | 0.004984 | 0.397887 | 5.17E − 15 | 0.398 |
| F18 | 3.003667 | 0.004338 | 3.000003 | 1.22E − 05 | 3.126995 | 0.211554 | 3 | 2.37E − 07 | 3 |
| F19 | −3.8625 | 0.00063 | −3.86262 | 0.00037 | NA | NA | −3.86015 | 0.003777 | −3.86 |
| F20 | −3.30564 | 0.045254 | −3.25226 | 0.069341 | NA | NA | −3.06154 | 0.380813 | −3.32 |
| F21 | −9.88163 | 0.90859 | −7.28362 | 2.790655 | −4.44409 | 0.383552 | −4.19074 | 2.664305 | −10.1532 |
| F22 | −10.2995 | 0.094999 | −8.37454 | 2.726577 | −4.1496 | 0.715469 | −4.89633 | 3.085016 | −10.4028 |
| F23 | −10.0356 | 1.375583 | −6.40669 | 2.892797 | −4.12367 | 0.859409 | −4.03276 | 2.517357 | −10.5363 |
| CEC01 | 1.58E + 09 | 1.71E + 09 | 3.8E + 10 | 4.03E + 10 | 58930.69 | 11445.72 | 4585.278 | 20707.63 | 1 |
| CEC02 | 19.70367 | 0.580672 | 83.73248 | 100.1326 | 18.91597 | 0.291311 | 4 | 3.28E − 09 | 1 |
| CEC03 | 13.70241 | 2.35E − 06 | 13.70263 | 0.000673 | 13.70321 | 0.000617 | 13.7024 | 1.68E − 11 | 1 |
| CEC04 | 179.1984 | 55.37322 | 371.2471 | 420.2062 | 20941.5 | 7707.688 | 33.08378 | 16.81143 | 1 |
| CEC05 | 2.671378 | 0.171923 | 2.571134 | 0.304055 | 6.176949 | 0.708134 | 2.13924 | 0.087218 | 1 |
| CEC06 | 11.21251 | 0.708359 | 10.34469 | 1.335367 | 11.83069 | 0.771166 | 12.13326 | 0.610499 | 1 |
| CEC07 | 365.2358 | 164.997 | 534.3862 | 240.0417 | 1043.895 | 215.3575 | 120.4858 | 13.82608 | 1 |
| CEC08 | 5.499615 | 0.484645 | 5.86374 | 0.51577 | 6.337199 | 0.359203 | 6.102152 | 0.769938 | 1 |
| CEC09 | 6.325862 | 1.295848 | 8.501541 | 16.90603 | 2270.616 | 811.4442 | 2 | 2.00E − 10 | 1 |
| CEC10 | 21.36829 | 0.06897 | 21.29284 | 0.176811 | 21.4936 | 0.079492 | 2.718282 | 4.52E − 16 | 1 |