Table 7 Optimization result of three-bar truss structure design compared with other methods.
Algorithm | Statistical results | Optimum variable | f (x1, x2) | |||||
|---|---|---|---|---|---|---|---|---|
Best value | Worst value | Mean value | SD value | Rank | x1 | x2 | ||
HGWPSO | 263.9044 | 282.8476 | 270.3206 | 10.8498 | 1 | 0.8084 | 0.356 | 264.2097 |
HMFOPSO | 1602.1627 | 2773.0118 | 2172.8124 | 585.9836 | 13 | 4.4845 | 3.3367 | 1602.1627 |
HPSOALO | 264.8705 | 296.1157 | 282.6765 | 16.0738 | 4 | 0.6576 | 1.010 | 287.0431 |
HGWOWOA | 284.1767 | 287.3138 | 286.0023 | 1.6305 | 10 | 1.0047 | 0 | 284.1767 |
HGWOSCA | 283.0757 | 287.1303 | 284.4689 | 2.3057 | 7 | 1.0013 | 0 | 283.2008 |
GWO | 272.9803 | 1154.7747 | 571.7247 | 504.9878 | 9 | 0.8663 | 0.2796 | 272.9803 |
PSO | 1555.8422 | 3198.7427 | 2284.5562 | 837.0069 | 12 | 8.6676 | 7.4714 | 3198.7427 |
MFO | 1166.4188 | 2485.4807 | 1893.4985 | 669.828 | 11 | 2.2666 | 5.2531 | 1166.4188 |
WOA | 263.9307 | 364.1824 | 306.9186 | 51.628 | 2 | 0.6473 | 1.0953 | 292.6428 |
SCA | 283.1981 | 290.8955 | 285.8852 | 4.3429 | 8 | 1.0013 | 0 | 283.1981 |
ALO | 283.0221 | 285.1114 | 283.9721 | 1.0574 | 6 | 1.008 | 0 | 285.1114 |
COA | 264.2656 | 314.9093 | 282.1415 | 28.4169 | 3 | 0.6233 | 1.3861 | 314.9093 |
GJO | 282.9176 | 283.2613 | 283.0469 | 0.18692 | 5 | 1.004 | 0 | 282.962 |
