Research Article
A Learning Sparrow Search Algorithm
Table 2
Comparison table of optimization effect of each algorithm (30 dimensions and fixed dimensions).
| Function | Algorithm | Best | Ave | Std |
| F1(x) | LSSA | 0 | 0 | 0 | BSO | 1.8337 | 9.2351 | 8.0567 | CSSA | 0 | 0 | 0 | ISSA | 0 | 0 | 0 | SSA | 0 | 0 | 0 | GWO | 2.9726E − 42 | 9.9797E − 41 | 2.3113E − 40 | PSO | 1.562E − 12 | 7.3034E − 11 | 1.5384E − 10 |
| F2(X) | LSSA | 0 | 0 | 0 | BSO | 9.4317E − 10 | 5.8438 | 19.6417 | CSSA | 0 | 0 | 0 | ISSA | 0 | 0 | 0 | SSA | 0 | 7.0603E − 92 | 3.8713E − 91 | GWO | 1.2722E − 15 | 1.6521E − 11 | 5.6379E − 11 | PSO | 2.4597 | 6.8764 | 4.6663 |
| F3(X) | LSSA | 0 | 0 | 0 | BSO | 0.0417 | 1.5546 | 1.2080 | CSSA | 0 | 0 | 0 | ISSA | 0 | 3.7672E − 158 | 2.0634E − 157 | SSA | 0 | 0 | 0 | GWO | 1.0249E − 11 | 1.3528E − 10 | 1.3629E − 10 | PSO | 0.06008 | 0.1756 | 0.08657 |
| F4(X) | LSSA | 1.3707E − 10 | 8.2877E − 06 | 1.5080E − 05 | BSO | 233.8862 | 971.7400 | 841.0884 | CSSA | 3.47E − 09 | 7.3760E − 05 | 1.0942E − 04 | ISSA | 1.0562E − 07 | 1.2681E − 04 | 2.7208E − 04 | SSA | 7.6415E − 09 | 3.1722E − 05 | 5.9606E − 05 | GWO | 45.1861 | 46.6720 | 0.7848 | PSO | 10.0094 | 102.2121 | 51.6541 |
| F5(X) | LSSA | 0 | 8.3405E − 32 | 1.7901E − 31 | BSO | 0 | 3.6491E − 21 | 1.9700E − 20 | CSSA | 2.4651E − 32 | 6.1469E − 29 | 1.7338E − 28 | ISSA | 4.6878E − 29 | 1.3501E − 25 | 3.1929E − 25 | SSA | 3.0814E − 32 | 2.7691E − 29 | 7.1572E − 29 | GWO | 3.3762E − 07 | 1.0734E − 06 | 3.7183E − 07 | PSO | 8.9363E − 32 | 1.9760E − 30 | 5.1909E − 30 |
| F6(X) | LSSA | 7.5495E − 06 | 3.6715E − 04 | 3.4039E − 04 | BSO | 1.8821E − 03 | 8.0499E − 03 | 4.1052E − 03 | CSSA | 1.5867E − 05 | 1.7275E − 04 | 1.2860E − 04 | ISSA | 1.0528E − 05 | 2.2030E − 04 | 1.7169E − 04 | SSA | 8.2819E − 06 | 1.6418E − 04 | 1.7567E − 04 | GWO | 1.8171E − 04 | 5.6482E − 04 | 3.1679E − 04 | PSO | 7.1929E − 03 | 1.8162E − 02 | 7.2361E − 03 |
| F7(X) | LSSA | −12569.4866 | −12151.0951 | 724.9186 | BSO | −12569.4866 | −11205.6626 | 1020.4548 | ISSA | −10141.2347 | −9080.1757 | 568.2124 | CSSA | −10022.9333 | −9045.4556 | 574.4343 | SSA | −10258.1903 | −8724.1633 | 718.2918 | GWO | −8262.1714 | −6362.1144 | 709.0298 | PSO | −8324.1386 | −6844.9716 | 752.6817 |
| F8(X) | LSSA | 3.5924E − 19 | 1.5863E − 15 | 3.8647E − 15 | BSO | 0.1323 | 0.9448 | 0.6457 | CSSA | 8.7326E − 15 | 2.3930E − 12 | 4.4060E − 12 | ISSA | 1.9914E − 14 | 2.6662E − 12 | 5.2284E − 12 | SSA | 3.4524E − 15 | 1.4887E − 11 | 3.5684E − 11 | GWO | 1.4151E − 06 | 0.01468 | 9.2774E − 03 | PSO | 6.4837E − 14 | 0.08643 | 0.2527 |
| F9(X) | LSSA | 4.9797E − 04 | 719.9689 | 812.9308 | BSO | 3.8182E − 04 | 1272.5502 | 983.9231 | CSSA | −9082.3593 | −8132.3934 | 763.6265 | ISSA | 2191.2870 | 3460.1076 | 584.0178 | SSA | 2587.7399 | 4017.9491 | 668.5352 | GWO | 4518.4944 | 6050.6684 | 801.1268 | PSO | 4601.8502 | 6257.0871 | 952.5740 |
| F10(X) | LSSA | 0 | 0 | 0 | BSO | 0 | 0.3556 | 0.3866 | CSSA | 0 | 1.8488E − 33 | 7.0361E − 33 | ISSA | 0 | 0 | 0 | SSA | 0 | 8.2173E − 33 | 4.5008E − 32 | GWO | 3.2417E − 10 | 4.6721E − 08 | 3.9041E − 08 | PSO | 0 | 0 | 0 |
| F11(X) | LSSA | 7.1484E − 17 | 1.0144E − 09 | 3.9939E − 09 | BSO | 0 | 0.4704 | 1.7733 | CSSA | 8.9576E − 13 | 1.1160E − 08 | 2.0300E − 08 | ISSA | 2.8781E − 12 | 1.1195E − 07 | 2.9258E − 07 | SSA | 2.6178E − 13 | 2.3804E − 07 | 1.0194E − 06 | GWO | 3.5322E − 06 | 0.1966 | 0.4975 | PSO | 6.6552E − 07 | 8.9930E − 04 | 8.7012E − 03 |
| F12(X) | LSSA | 0.998 | 0.998 | 0 | BSO | 0.998 | 1.8886 | 1.4519 | CSSA | 0.998 | 1.0641 | 0.3622 | ISSA | 0.998 | 2.3662 | 3.3602 | SSA | 0.998 | 2.4984 | 3.3421 | GWO | 0.998 | 1.7255 | 0.9724 | PSO | 0.998 | 1.1305 | 0.3436 |
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