Research Article
Adaptive Spiral Flying Sparrow Search Algorithm
Table 3
Table of optimization results of each algorithm.
| Function | Algorithm | Best | Aver | Std |
| F1(x) | ASFSSA | 0 | 0 | 0 | BSO | 8.15851 | 26.3851 | 14.9876 | CSSA | 0 | 0 | 0 | SSA | 0 | 5.192E − 251 | 0 | GWO | 1.4406E − 103 | 1.56961E − 97 | 5.36616E − 97 | PSO | 3.8599E − 12 | 3.0697E − 11 | 2.7076E − 11 |
| F2(x) | ASFSSA | 0 | 0 | 0 | BSO | 0.212219 | 1.8836 | 2.13278 | CSSA | 0 | 3.8973E − 160 | 2.1346E − 159 | SSA | 0 | 2.2022E − 144 | 8.4437E − 144 | GWO | 1.6295E − 25 | 2.9050E − 23 | 4.4358E − 23 | PSO | 8.9056E − 08 | 2.5055E − 07 | 1.4584E − 07 |
| F3(X) | ASFSSA | 0 | 0 | 0 | BSO | 0.0004945 | 15.1459 | 34.9405 | CSSA | 0 | 4.2858E − 192 | 0 | SSA | 0 | 7.7137E − 210 | 0 | GWO | 2.2250E − 04 | 0.029431 | 0.070791 | PSO | 22.2592 | 49.9596 | 18.1286 |
| F4(X) | ASFSSA | 0 | 0 | 0 | BSO | 0.01503 | 0.015026 | 1.40522 | CSSA | 0 | 4.1077E − 141 | 2.2499E − 140 | SSA | 4.0636E − 14 | 1.9036E − 07 | 2.9266E − 07 | GWO | 2.4178E − 06 | 6.4757E − 06 | 2.1850E − 06 | PSO | 8.1218E − 14 | 6.9044E − 13 | 7.0838E − 13 |
| F5(X) | ASFSSA | 2.5510E − 09 | 9.6950E − 06 | 3.977E − 05 | BSO | 553.7041 | 2543.2161 | 1657.5282 | CSSA | 1.3357E − 08 | 2.6062E − 04 | 0.0015114 | SSA | 4.7653E − 09 | 0.00028325 | 0.00049636 | GWO | 45.8565 | 47.3855 | 0.89355 | PSO | 89.4507 | 234.8606 | 104.6002 |
| F6(X) | ASFSSA | 1.2670E − 17 | 2.5726E − 15 | 4.5874E − 15 | BSO | 1.4135E − 19 | 2.7997E − 10 | 1.4985E − 09 | CSSA | 1.2204E − 17 | 8.1489E − 15 | 1.1839E − 14 | SSA | 4.0636E − 14 | 1.0936E − 07 | 2.9266E − 07 | GWO | 2.4178E − 06 | 6.4757E − 06 | 2.185E − 06 | PSO | 8.1218E − 14 | 6.9044E − 13 | 7.0838E − 13 |
| F7(X) | ASFSSA | 0 | 0 | 0 | BSO | 10.9679 | 76.8897 | 44.1926 | CSSA | 0 | 2.6949E − 153 | 1.476E − 152 | SSA | 0 | 6.9176E − 139 | 3.7889E − 138 | GWO | 1.1787E − 06 | 2.2057E − 05 | 2.7228E − 05 | PSO | 30.8725 | 58.7189 | 18.8337 |
| F8(X) | ASFSSA | 0 | 0 | 0 | BSO | 1.4696 | 9.2489 | 5.9505 | CSSA | 0 | 1.7622E − 279 | 0 | SSA | 0 | 2.3385E − 270 | 0 | GWO | 6.7719E − 06 | 5.7427E − 05 | 5.9614E − 05 | PSO | 0.017546 | 0.18078 | 0.14242 |
| F9(X) | ASFSSA | 0 | 0 | 0 | BSO | 7.8221E − 46 | 2.0384E − 39 | 3.2288E − 39 | CSSA | 0 | 6.07E − 95 | 3.3246E − 94 | SSA | 0 | 8.7599E − 97 | 4.798E − 96 | GWO | 0 | 9.7069E − 251 | 0 | PSO | 1.6341E − 29 | 6.6714E − 24 | 1.2043E − 23 |
| F10(X) | ASFSSA | 1.0044E − 05 | 9.5155E − 05 | 8.3380E − 05 | BSO | 0.0038813 | 0.009674457 | 0.004701 | CSSA | 9.9226E − 06 | 0.00026062 | 0.00016246 | SSA | 5.318E − 05 | 0.00029582 | 0.00025735 | GWO | 0.00040374 | 0.0020252 | 0.89355 | PSO | 0.010201 | 0.030015 | 0.00096086 |
| F11(X) | ASFSSA | −12569.3148 | −11107.0762 | 796.9218 | BSO | −12569.4418 | −11820.3055 | 973.8153 | CSSA | −9859.7543 | −8700.9989 | 615.6127 | SSA | −9374.4498 | −8208.1416 | 501.1037 | GWO | −9055.703 | −6452.354 | 1033.4608 | PSO | −8405.1316 | −6176.2342 | 793.1086 |
| F12(X) | ASFSSA | 0.490047 | 1270.9199 | 964.1809 | BSO | 0.03331 | 848.2818 | 1061.7445 | CSSA | 2529.3974 | 3661.9962 | 725.5963 | SSA | 3471.670439 | 4292.617883 | 529.1990723 | GWO | 4866.1835 | 6134.3633 | 604.5177 | PSO | 5205.7803 | 7638.9387 | 1024.9673 |
| F13(X) | ASFSSA | 7.2046E − 11 | 3.1056E − 07 | 6.4439E − 07 | BSO | 3.5095 | 8.4787E + 54 | 3.4748E + 55 | CSSA | 3.6686E − 11 | 1.6611E − 05 | 6.0978E − 05 | SSA | 1.1633E − 09 | 6.0348E − 07 | 1.8076E − 06 | GWO | 1.0500E + 54 | 1.4300E + 57 | 5.7000E + 57 | PSO | 1.5273E + 60 | 1.9700E + 60 | 2.1400E + 59 |
| F14(X) | ASFSSA | 0 | 4.9628E − 05 | 2.5146E − 04 | BSO | 1.3048E − 23 | 4.77072E − 21 | 6.0171E − 21 | CSSA | 6.2203E − 08 | 0.0012751 | 0.0037596 | SSA | 2.9797E − 08 | 0.00034106 | 0.00062708 | GWO | 1.0500E + 54 | 1.4300E + 57 | 5.6800E + 57 | PSO | 2.0728E + 87 | 3.3100E + 87 | 5.6800E + 86 |
| F15(X) | ASFSSA | 1.3498E − 31 | 1.3498E − 31 | 0 | BSO | 1.3498E − 31 | 1.3498E − 31 | 0 | CSSA | 1.4730E − 31 | 2.3043E − 29 | 3.9261E − 29 | SSA | 1.3498E − 31 | 3.9049E − 29 | 5.2232E − 29 | GWO | 1.0606E − 08 | 8.9305E − 07 | 7.8567E − 07 | PSO | 1.30489E − 23 | 4.7707E − 21 | 6.0171E − 21 |
| F16(X) | ASFSSA | 0 | 0 | 0 | BSO | 1.2475E − 42 | 1.8013E − 41 | 1.9512E − 41 | CSSA | 0 | 4.9534E − 285 | 0 | SSA | 0 | 3.7547E − 237 | 0 | GWO | 2.6095E − 166 | 2.1062E − 131 | 1.0027E − 130 | PSO | 4.0625E − 25 | 6.4627E − 22 | 1.8985E − 21 |
| F17(X) | ASFSSA | 2.9038E − 25 | 2.3672E − 19 | 7.0572E − 19 | BSO | 0 | 0.2540 | 0.3592 | CSSA | 4.3789E − 21 | 3.2277E − 16 | 1.5937E − 15 | SSA | 2.7959E − 21 | 1.2661E − 16 | 2.7684E − 16 | GWO | 1.2267E − 08 | 4.0761E − 07 | 4.2024E − 07 | PSO | 1.1013E − 22 | 8.1661E − 20 | 1.7949E − 19 |
| F18(X) | ASFSSA | 0.998 | 0.998 | 0 | BSO | 0.998 | 1.0311 | 0.17843 | CSSA | 0.998 | 2.1068 | 2.9273 | SSA | 0.998 | 2.5594 | 3.6421 | GWO | 0.998 | 2.8013 | 2.8092 | PSO | 0.998 | 1.1968 | 0.3976 |
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