Table 9 Comparative analysis of various algorithms for the cantilever beam weight optimization problem.
From: Recent metaheuristic algorithms for solving some civil engineering optimization problems
Algorithm | Time | Average | STD | Best | Worst | Solution | ||||
---|---|---|---|---|---|---|---|---|---|---|
\({x}_{1}\) | \({x}_{2}\) | \({x}_{3}\) | \({x}_{4}\) | \({x}_{5}\) | ||||||
BES–GO | 4.31E−01 | 1.34E+00 | 4.16E−16 | 1.34E+00 | 1.34E+00 | 6.02E+00 | 5.31E+00 | 4.49E+00 | 3.50E+00 | 2.15E+00 |
GO | 2.81E−01 | 1.34E+00 | 5.36E−12 | 1.34E+00 | 1.34E+00 | 6.02E+00 | 5.31E+00 | 4.49E+00 | 3.50E+00 | 2.15E+00 |
BES | 5.42E−01 | 1.34E+00 | 1.96E−07 | 1.34E+00 | 1.34E+00 | 6.02E+00 | 5.31E+00 | 4.49E+00 | 3.50E+00 | 2.15E+00 |
TSO | 6.21E−02 | 1.34E+00 | 2.76E−03 | 1.34E+00 | 1.35E+00 | 6.00E+00 | 5.32E+00 | 4.49E+00 | 3.52E+00 | 2.15E+00 |
DOA | 9.65E−02 | 1.41E+00 | 1.68E−01 | 1.34E+00 | 2.21E+00 | 6.02E+00 | 5.31E+00 | 4.50E+00 | 3.50E+00 | 2.15E+00 |
ALO | 1.63E+00 | 1.34E+00 | 1.51E−04 | 1.34E+00 | 1.34E+00 | 6.02E+00 | 5.32E+00 | 4.49E+00 | 3.48E+00 | 2.16E+00 |
PSO | 2.52E−01 | 1.34E+00 | 7.07E−05 | 1.34E+00 | 1.34E+00 | 6.02E+00 | 5.31E+00 | 4.49E+00 | 3.51E+00 | 2.15E+00 |
TSA | 6.32E−02 | 1.36E+00 | 7.50E−03 | 1.35E+00 | 1.38E+00 | 6.30E+00 | 5.63E+00 | 4.26E+00 | 3.40E+00 | 2.01E+00 |
GWO | 6.23E−02 | 1.34E+00 | 1.40E−04 | 1.34E+00 | 1.34E+00 | 6.00E+00 | 5.32E+00 | 4.49E+00 | 3.51E+00 | 2.15E+00 |
GTO | 1.88E−01 | 1.34E+00 | 2.04E−04 | 1.34E+00 | 1.34E+00 | 6.02E+00 | 5.30E+00 | 4.49E+00 | 3.52E+00 | 2.15E+00 |
HHO | 1.43E−01 | 1.35E+00 | 2.99E−03 | 1.34E+00 | 1.35E+00 | 6.17E+00 | 5.33E+00 | 4.49E+00 | 3.36E+00 | 2.15E+00 |