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