Table 11 Comparative analysis of various algorithms for the tubular column design optimization problem.

From: Recent metaheuristic algorithms for solving some civil engineering optimization problems

Algorithm

Time

Average

STD

Best

Worst

Solution

\({x}_{1}\)

\({x}_{2}\)

BES–GO

3.83E−01

2.65E+01

3.61E−15

2.65E+01

2.65E+01

5.45E+00

2.92E−01

GO

1.95E−01

2.65E+01

3.61E−15

2.65E+01

2.65E+01

5.45E+00

2.92E−01

BES

4.92E−01

2.65E+01

3.61E−15

2.65E+01

2.65E+01

5.45E+00

2.92E−01

PSO

2.34E−01

2.65E+01

9.65E−15

2.65E+01

2.65E+01

5.45E+00

2.92E−01

GTO

1.53E−01

2.65E+01

9.28E−15

2.65E+01

2.65E+01

5.45E+00

2.92E−01

TSO

5.14E−02

2.65E+01

2.89E−10

2.65E+01

2.65E+01

5.45E+00

2.92E−01

ALO

6.92E−01

2.65E+01

8.93E−07

2.65E+01

2.65E+01

5.45E+00

2.92E−01

GWO

4.32E−02

2.65E+01

2.03E−03

2.65E+01

2.65E+01

5.45E+00

2.92E−01

HHO

1.10E−01

2.66E+01

7.83E−02

2.65E+01

2.68E+01

5.45E+00

2.92E−01

DOA

8.76E−02

2.66E+01

3.43E−01

2.65E+01

2.83E+01

5.45E+00

2.92E−01

TSA

5.16E−02

2.66E+01

6.31E−02

2.65E+01

2.68E+01

5.46E+00

2.92E−01