Table 15 Wilcoxon test summary for BES with other algorithms.
From: Recent metaheuristic algorithms for solving some civil engineering optimization problems
BES–GO vs Other Algorithms | GO | BES | TSO | DOA | ALO | PSO | TSA | GWO | GTO | HHO |
---|---|---|---|---|---|---|---|---|---|---|
f1 | 4.97E−05 | 2.21E−05 | 4.62E−04 | 1.78E−06 | 7.88E−06 | 9.11E−05 | 1.78E−06 | 1.78E−06 | 4.55E−05 | 1.78E−06 |
f2 | 9.96E−01 | 3.41E−01 | 1.41E−03 | 2.18E−06 | 5.42E−05 | 5.07E−01 | 1.78E−06 | 8.33E−01 | 3.01E−03 | 1.84E−05 |
f3 | 4.44E−01 | 8.17E−01 | 1.86E−01 | 2.67E−06 | 1.42E−02 | 3.92E−03 | 1.78E−06 | 1.93E−01 | 9.99E−03 | 1.78E−06 |
f4 | 3.85E−01 | 6.77E−01 | 6.46E−05 | 1.78E−06 | 1.59E−02 | 6.04E−01 | 1.78E−06 | 4.85E−06 | 6.94E−03 | 1.78E−06 |
f5 | 1.26E−02 | 3.67E−03 | 1.78E−06 | 2.95E−06 | 1.78E−06 | 2.67E−06 | 1.78E−06 | 1.78E−06 | 3.13E−04 | 1.78E−06 |
f6 | 5.26E−02 | 7.07E−01 | 6.77E−01 | 2.09E−04 | 1.68E−05 | 2.43E−05 | 1.78E−06 | 2.27E−04 | 1.32E−01 | 1.78E−06 |
f7 | 1.86E−01 | 1.73E−01 | 2.18E−06 | 7.15E−06 | 1.78E−06 | 2.41E−06 | 1.78E−06 | 1.78E−06 | 2.29E−03 | 1.78E−06 |
f8 | 8.65E−01 | 4.77E−02 | 1.67E−01 | 1.78E−06 | 1.12E−02 | 3.31E−01 | 1.78E−06 | 3.66E−04 | 1.22E−01 | 8.37E−05 |
f9 | 9.63E−01 | 3.52E−01 | 2.34E−02 | 6.27E−04 | 1.34E−02 | 8.01E−01 | 1.41E−03 | 9.41E−03 | 1.67E−01 | 3.18E−05 |
f10 | 2.92E−01 | 6.04E−01 | 3.92E−02 | 1.97E−06 | 1.42E−02 | 7.91E−01 | 5.35E−06 | 6.34E−02 | 2.15E−01 | 9.41E−03 |
Problem 01 | 2.17E−06 | 6.95E−01 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 |
Problem 02 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 |
Problem 03 | 3.13E−02 | 1 | 6.10E−05 | 9.21E−05 | 1.78E−06 | 3.90E−06 | 1.78E−06 | 1.78E−06 | 1 | 8.55E−06 |
Problem 04 | 1 | 1 | 2.62E−06 | 1.87E−05 | 1.78E−06 | 1.56E−02 | 1.78E−06 | 1.78E−06 | 3.91E−03 | 1.78E−06 |
Problem 05 | 1.00E+00 | 3.13E−01 | 1.78E−06 | 3.16E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 1.78E−06 | 2.63E−06 | 1.78E−06 |