Table 7 Best, average, and standard deviation of obtained by the algorithms on the CEC’20 test suit with D = 10.
From: Recent metaheuristic algorithms for solving some civil engineering optimization problems
Algorithms | BES_GO | GO | BES | TSO | DOA | ALO | PSO | TSA | GWO | GTO | HHO | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
F measure | ||||||||||||
f1 | BEST | 1.00E+02 | 1.02E+02 | 1.00E+02 | 1.00E+02 | 2.95E+07 | 1.00E+02 | 1.04E+02 | 1.21E+08 | 3.16E+04 | 1.00E+02 | 5.31E+05 |
Average | 1.76E+02 | 1.43E+03 | 1.20E+03 | 2.63E+03 | 2.58E+09 | 2.00E+03 | 1.86E+03 | 5.04E+09 | 1.11E+08 | 3.96E+03 | 1.33E+06 | |
STD | 1.15E+02 | 1.48E+03 | 1.44E+03 | 2.90E+03 | 3.65E+09 | 2.44E+03 | 2.26E+03 | 3.95E+09 | 3.12E+08 | 3.32E+03 | 1.22E+06 | |
f2 | BEST | 1.23E+03 | 1.27E+03 | 1.11E+03 | 1.10E+03 | 1.70E+03 | 1.39E+03 | 1.25E+03 | 2.04E+03 | 1.16E+03 | 1.44E+03 | 1.58E+03 |
Average | 1.67E+03 | 1.69E+03 | 1.60E+03 | 1.87E+03 | 2.63E+03 | 2.10E+03 | 1.77E+03 | 2.63E+03 | 1.70E+03 | 2.03E+03 | 2.02E+03 | |
STD | 2.80E+02 | 2.78E+02 | 2.84E+02 | 3.05E+02 | 4.53E+02 | 3.32E+02 | 3.35E+02 | 2.75E+02 | 2.85E+02 | 2.53E+02 | 2.63E+02 | |
f3 | BEST | 7.13E+02 | 7.18E+02 | 7.14E+02 | 7.19E+02 | 7.33E+02 | 7.21E+02 | 7.14E+02 | 7.83E+02 | 7.17E+02 | 7.24E+02 | 7.40E+02 |
Average | 7.29E+02 | 7.39E+02 | 7.40E+02 | 7.43E+02 | 7.79E+02 | 7.45E+02 | 7.25E+02 | 8.04E+02 | 7.33E+02 | 7.50E+02 | 7.92E+02 | |
STD | 8.25E+00 | 1.40E+01 | 1.59E+01 | 1.59E+01 | 2.57E+01 | 1.56E+01 | 9.46E+00 | 1.05E+01 | 1.17E+01 | 1.69E+01 | 2.43E+01 | |
f4 | BEST | 1.90E+03 | 1.90E+03 | 1.90E+03 | 1.90E+03 | 1.90E+03 | 1.90E+03 | 1.90E+03 | 1.92E+03 | 1.90E+03 | 1.90E+03 | 1.90E+03 |
Average | 1.90E+03 | 1.90E+03 | 1.90E+03 | 1.90E+03 | 3.83E+03 | 1.90E+03 | 1.90E+03 | 4.99E+04 | 1.90E+03 | 1.90E+03 | 1.91E+03 | |
STD | 5.00E−01 | 5.97E−01 | 7.86E−01 | 2.24E+00 | 4.01E+03 | 7.61E−01 | 3.85E−01 | 8.11E+04 | 6.77E+00 | 1.10E+00 | 3.68E+00 | |
f5 | BEST | 1.72E+03 | 1.75E+03 | 1.85E+03 | 2.26E+03 | 1.96E+03 | 2.84E+03 | 2.17E+03 | 6.52E+04 | 2.70E+03 | 1.76E+03 | 3.86E+03 |
Average | 2.12E+03 | 2.28E+03 | 2.26E+03 | 7.85E+03 | 7.82E+04 | 6.60E+04 | 5.74E+03 | 5.40E+05 | 1.06E+05 | 2.38E+03 | 6.88E+04 | |
STD | 2.59E+02 | 2.92E+02 | 2.79E+02 | 8.27E+03 | 1.84E+05 | 9.94E+04 | 4.72E+03 | 2.47E+05 | 1.84E+05 | 3.32E+02 | 5.66E+04 | |
f6 | BEST | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 | 1.60E+03 |
Average | 1.60E+03 | 1.61E+03 | 1.60E+03 | 1.60E+03 | 1.62E+03 | 1.60E+03 | 1.62E+03 | 1.63E+03 | 1.61E+03 | 1.60E+03 | 1.62E+03 | |
STD | 1.42E+02 | 1.69E+02 | 1.73E+02 | 1.36E+03 | 1.65E+05 | 9.67E+03 | 1.21E+03 | 9.31E+04 | 6.50E+03 | 2.89E+02 | 1.16E+05 | |
f7 | BEST | 2.10E+03 | 2.10E+03 | 2.10E+03 | 2.35E+03 | 2.27E+03 | 2.48E+03 | 2.32E+03 | 4.97E+03 | 2.60E+03 | 2.11E+03 | 3.33E+03 |
Average | 2.26E+03 | 2.31E+03 | 2.30E+03 | 3.56E+03 | 3.65E+04 | 1.45E+04 | 3.74E+03 | 1.06E+05 | 9.82E+03 | 2.49E+03 | 6.51E+04 | |
STD | 1.09E+01 | 1.50E+01 | 3.04E+00 | 3.06E+00 | 2.23E+01 | 7.22E+00 | 1.67E+01 | 2.33E+01 | 1.26E+01 | 2.36E−01 | 1.28E+01 | |
f8 | BEST | 2.22E+03 | 2.30E+03 | 2.20E+03 | 2.23E+03 | 2.24E+03 | 2.23E+03 | 2.22E+03 | 2.34E+03 | 2.30E+03 | 2.24E+03 | 2.29E+03 |
Average | 2.30E+03 | 2.30E+03 | 2.30E+03 | 2.30E+03 | 2.53E+03 | 2.39E+03 | 2.34E+03 | 2.82E+03 | 2.36E+03 | 2.30E+03 | 2.45E+03 | |
STD | 1.46E+01 | 1.02E+00 | 1.89E+01 | 1.46E+01 | 2.44E+02 | 2.93E+02 | 2.48E+02 | 5.81E+02 | 2.94E+02 | 1.63E+01 | 4.19E+02 | |
f9 | BEST | 2.50E+03 | 2.50E+03 | 2.50E+03 | 2.50E+03 | 2.59E+03 | 2.50E+03 | 2.50E+03 | 2.59E+03 | 2.73E+03 | 2.50E+03 | 2.50E+03 |
Average | 2.73E+03 | 2.74E+03 | 2.73E+03 | 2.69E+03 | 2.78E+03 | 2.73E+03 | 2.72E+03 | 2.85E+03 | 2.75E+03 | 2.72E+03 | 2.79E+03 | |
STD | 4.44E+01 | 4.51E+01 | 4.52E+01 | 1.17E+02 | 6.93E+01 | 7.88E+01 | 8.82E+01 | 9.21E+01 | 1.45E+01 | 9.93E+01 | 1.20E+02 | |
f10 | BEST | 2.90E+03 | 2.90E+03 | 2.60E+03 | 2.90E+03 | 2.93E+03 | 2.90E+03 | 2.60E+03 | 2.92E+03 | 2.90E+03 | 2.90E+03 | 2.90E+03 |
Average | 2.93E+03 | 2.93E+03 | 2.92E+03 | 2.93E+03 | 3.06E+03 | 2.93E+03 | 2.91E+03 | 3.18E+03 | 2.94E+03 | 2.93E+03 | 2.93E+03 | |
STD | 2.30E+01 | 2.25E+01 | 6.44E+01 | 2.47E+01 | 1.04E+02 | 2.33E+01 | 6.31E+01 | 2.11E+02 | 1.54E+01 | 2.50E+01 | 2.31E+01 | |
