Table 24 Ranking-based Friedman test for the CEC2014 for BPBO algorithm with the different Pi
From: Birds of prey-based optimization (BPBO): a metaheuristic algorithm for optimization
Function | Pi = 0.05 | Pi = 0.1 | Pi = 0.25 | Pi = 0.5 | Pi = 0.75 | Pi = 0.9 | Pi = 0.95 | Pi = 0.99 | Pi = 1.0 |
|---|---|---|---|---|---|---|---|---|---|
Fr | Fr | Fr | Fr | Fr | Fr | Fr | Fr | Fr | |
F1 | 7 | 6 | 2 | 1 | 3 | 4 | 5 | 8 | 9 |
F2 | 7 | 4 | 1 | 5 | 2 | 3 | 6 | 8 | 9 |
F3 | 9 | 6 | 5 | 1 | 2 | 3 | 4 | 7 | 8 |
F4 | 5.5 | 3 | 4 | 2 | 1 | 5.5 | 7 | 8 | 9 |
F5 | 5 | 1 | 5 | 5 | 5 | 5 | 5 | 9 | 5 |
F6 | 1 | 3 | 2 | 4 | 6 | 5 | 7 | 8.5 | 8.5 |
F7 | 7 | 4 | 2 | 1 | 3 | 5 | 6 | 8 | 9 |
F8 | 4 | 1 | 5 | 2 | 8 | 7 | 6 | 3 | 9 |
F9 | 1 | 2 | 3 | 4 | 5 | 8 | 7 | 6 | 9 |
F10 | 6 | 1 | 3.5 | 2 | 8 | 5 | 3.5 | 7 | 9 |
F11 | 6 | 8 | 3 | 2 | 1 | 4 | 7 | 5 | 9 |
F12 | 4 | 8 | 7 | 5.5 | 5.5 | 9 | 3 | 1 | 2 |
F13 | 1 | 3 | 2 | 4 | 5 | 7 | 8 | 6 | 9 |
F14 | 1.5 | 1.5 | 3 | 4.5 | 7 | 4.5 | 6 | 8 | 9 |
F15 | 1 | 2 | 3 | 5 | 4 | 6 | 7 | 8 | 9 |
F16 | 7.5 | 3 | 1 | 3 | 5 | 3 | 7.5 | 7.5 | 7.5 |
F17 | 7 | 5 | 3 | 2 | 1 | 4 | 6 | 8 | 9 |
F18 | 1 | 5.5 | 4 | 2 | 3 | 7 | 8 | 5.5 | 9 |
F19 | 1 | 2.5 | 2.5 | 7 | 6 | 4 | 5 | 8 | 9 |
F20 | 7 | 6 | 4 | 1 | 2 | 3 | 5 | 8 | 9 |
F21 | 6 | 5 | 4 | 2 | 3 | 1 | 7 | 8 | 9 |
F22 | 2 | 1 | 3 | 4 | 5 | 7 | 8 | 9 | 6 |
F23 | 9 | 4.5 | 8 | 7 | 2 | 4.5 | 2 | 2 | 6 |
F24 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
F25 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
F26 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 9 | 8 |
F27 | 1 | 2 | 3 | 4 | 7 | 5 | 6 | 8.5 | 8.5 |
F28 | 1 | 2 | 3 | 4 | 5 | 8 | 6 | 7 | 9 |
F29 | 2 | 3 | 4 | 6 | 1 | 5 | 7 | 9 | 8 |
F30 | 5 | 1 | 4 | 3 | 2 | 8 | 7 | 6 | 9 |
Fm | 4.3167 | 3.6000 | 3.6000 | 3.5667 | 4.0500 | 5.1500 | 5.8667 | 6.8667 | 7.9833 |
Final rank | 5 | 2.5 | 2.5 | 1 | 4 | 6 | 7 | 8 | 9 |