Table 6 Time complexity comparison with other GSA improved algorithms in 100 dimensions of benchmark function.
From: Multi-strategy collaborative optimization of gravitational search algorithm
Function | Item | GSA | HGSA | HSSOGSA | LCGSA | MACGSA | GPSOGSA | SCGSA | IMSGSA |
|---|---|---|---|---|---|---|---|---|---|
F1 | Mean | 135.71 | 137.27 | 306.33 | 214.85 | 134.26 | 1329.14 | 150.31 | 210.70 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F2 | Mean | 135.2988 | 137.491 | 306.4245 | 215.4864 | 133.9371 | 1326.915 | 149.7316 | 210.8178 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F3 | Mean | 165.6175 | 168.1936 | 336.4006 | 245.6829 | 164.4672 | 1355.682 | 180.0448 | 335.9882 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F4 | Mean | 135.2917 | 137.3101 | 440.6431 | 215.1756 | 134.5974 | 1326.036 | 150.3792 | 210.3843 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F5 | Mean | 137.0427 | 139.419 | 309.2198 | 217.2596 | 135.9268 | 1329.255 | 152.4051 | 217.2521 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F6 | Mean | 135.4039 | 137.8398 | 473.8183 | 215.7029 | 134.7947 | 1343.273 | 149.9693 | 209.6545 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F7 | Mean | 150.0484 | 152.5833 | 395.4859 | 230.2004 | 148.8449 | 1342.631 | 164.1329 | 271.8902 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F8 | Mean | 136.4487 | 138.7529 | 365.4758 | 216.2722 | 135.7558 | 1330.886 | 151.508 | 215.866 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F9 | Mean | 136.6826 | 139.8322 | 499.4333 | 217.2995 | 180.3817 | 1351.388 | 150.886 | 211.466 |
Rank | 1 | 2 | 7 | 6 | 4 | 8 | 3 | 5 | |
F10 | Mean | 136.1335 | 139.2653 | 307.7926 | 216.8312 | 135.3311 | 1328.05 | 150.915 | 213.451 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F11 | Mean | 137.1625 | 139.1575 | 334.0253 | 217.2411 | 192.4906 | 1330.312 | 152.5389 | 219.0596 |
Rank | 1 | 2 | 7 | 5 | 4 | 8 | 3 | 6 | |
F12 | Mean | 174.4861 | 177.086 | 539.6236 | 254.3404 | 173.3569 | 1387.528 | 189.3675 | 365.71 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F13 | Mean | 174.3487 | 176.8501 | 531.629 | 254.6292 | 172.1693 | 1377.656 | 189.5468 | 364.3715 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F14 | Mean | 137.8145 | 140.2878 | 782.997 | 217.9712 | 136.1596 | 1429.961 | 152.6166 | 220.5821 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F15 | Mean | 135.0804 | 137.6873 | 472.7659 | 215.3935 | 134.2773 | 1342.256 | 150.238 | 211.2652 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F16 | Mean | 135.5596 | 138.6337 | 529.4551 | 215.4457 | 134.5447 | 1356.526 | 150.0433 | 213.4425 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F17 | Mean | 166.9097 | 168.9812 | 655.6766 | 246.9648 | 165.7558 | 1393.244 | 181.5527 | 301.5091 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F18 | Mean | 168.4929 | 170.1089 | 674.8874 | 248.3804 | 167.0725 | 1406.428 | 183.0212 | 306.6823 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F19 | Mean | 161.3981 | 163.9075 | 534.7795 | 242.5179 | 160.5527 | 1374.73 | 175.7876 | 317.2894 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F20 | Mean | 138.8166 | 140.982 | 346.6301 | 219.0687 | 137.6759 | 1331.938 | 152.8967 | 224.2609 |
Rank | 2 | 3 | 7 | 5 | 1 | 8 | 4 | 6 | |
F21 | Mean | 135.1899 | 137.6036 | 494.1302 | 215.3486 | 134.0421 | 1341.466 | 149.4969 | 209.966 |
Rank | 2 | 3 | 7 | 6 | 1 | 8 | 4 | 5 | |
F22 | Mean | 852.68 | 853.2021 | 1061.338 | 930.409 | 848.1473 | 2039.985 | 866.1953 | 3085.747 |
Rank | 2 | 3 | 6 | 5 | 1 | 7 | 4 | 8 | |
F23 | Mean | 135.6328 | 137.9094 | 645.6915 | 215.3568 | 136.2757 | 1364.031 | 149.9756 | 211.7408 |
Rank | 1 | 3 | 7 | 6 | 2 | 8 | 4 | 5 | |
F24 | Mean | 140.3008 | 143.2648 | 489.813 | 220.5345 | 185.0813 | 1340.888 | 154.5957 | 219.7198 |
Rank | 1 | 2 | 7 | 6 | 4 | 8 | 3 | 5 |
