Table 7.
Results of the Friedman rank test.
| Test Function | GA | PSO | GSA | TLBO | GWO | WOA | TSA | MPA | TOA | |
|---|---|---|---|---|---|---|---|---|---|---|
| Unimodal () |
Friedman value | 57 | 56 | 37 | 28 | 26 | 42 | 37 | 17 | 7 |
| Friedman rank | 8 | 7 | 5 | 4 | 3 | 6 | 5 | 2 | 1 | |
| High-dimensional multimodal () |
Friedman value | 38 | 36 | 30 | 23 | 22 | 37 | 31 | 26 | 19 |
| Friedman rank | 9 | 7 | 5 | 3 | 2 | 8 | 6 | 4 | 1 | |
| Fixed-dimensional multimodal () |
Friedman value | 56 | 46 | 39 | 36 | 32 | 34 | 16 | 34 | 10 |
| Friedman rank | 8 | 7 | 6 | 5 | 3 | 4 | 2 | 4 | 1 | |
| All 23 test functions | Friedman value | 151 | 138 | 106 | 87 | 80 | 113 | 84 | 77 | 36 |
| Friedman rank | 9 | 8 | 6 | 5 | 3 | 7 | 4 | 2 | 1 |