Table 8 Comparative analysis of various algorithms for the welded beam design problem.
From: Recent metaheuristic algorithms for solving some civil engineering optimization problems
Algorithm | Time | Average | STD | Best | Worst | Solution | |||
---|---|---|---|---|---|---|---|---|---|
h | l | t | b | ||||||
BES–GO | 5.03E−01 | 1.72E+00 | 7.92E−16 | 1.72E+00 | 1.72E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
BES | 6.34E−01 | 1.72E+00 | 1.19E−15 | 1.72E+00 | 1.72E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
GO | 3.14E−01 | 1.72E+00 | 1.74E−13 | 1.72E+00 | 1.72E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
GWO | 8.90E−02 | 1.73E+00 | 2.94E−03 | 1.73E+00 | 1.74E+00 | 2.06E−01 | 3.48E+00 | 9.04E+00 | 2.06E−01 |
PSO | 2.86E−01 | 1.79E+00 | 1.02E−01 | 1.72E+00 | 2.08E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
ALO | 1.34E+00 | 1.84E+00 | 1.34E−01 | 1.72E+00 | 2.27E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
GTO | 2.42E−01 | 1.84E+00 | 2.64E−01 | 1.72E+00 | 2.78E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
TSA | 9.74E−02 | 1.85E+00 | 4.34E−02 | 1.79E+00 | 1.96E+00 | 1.82E−01 | 4.06E+00 | 9.25E+00 | 2.05E−01 |
DOA | 1.31E−01 | 1.86E+00 | 2.32E−01 | 1.72E+00 | 2.59E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
TSO | 9.45E−02 | 1.98E+00 | 3.10E−01 | 1.73E+00 | 2.73E+00 | 2.06E−01 | 3.47E+00 | 9.04E+00 | 2.06E−01 |
HHO | 2.08E−01 | 2.21E+00 | 3.66E−01 | 1.79E+00 | 2.98E+00 | 2.07E−01 | 3.93E+00 | 9.01E+00 | 2.07E−01 |