Table 15 Wilcoxon test summary for BES with other algorithms.

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

BES–GO vs Other Algorithms

GO

BES

TSO

DOA

ALO

PSO

TSA

GWO

GTO

HHO

f1

4.97E−05

2.21E−05

4.62E−04

1.78E−06

7.88E−06

9.11E−05

1.78E−06

1.78E−06

4.55E−05

1.78E−06

f2

9.96E−01

3.41E−01

1.41E−03

2.18E−06

5.42E−05

5.07E−01

1.78E−06

8.33E−01

3.01E−03

1.84E−05

f3

4.44E−01

8.17E−01

1.86E−01

2.67E−06

1.42E−02

3.92E−03

1.78E−06

1.93E−01

9.99E−03

1.78E−06

f4

3.85E−01

6.77E−01

6.46E−05

1.78E−06

1.59E−02

6.04E−01

1.78E−06

4.85E−06

6.94E−03

1.78E−06

f5

1.26E−02

3.67E−03

1.78E−06

2.95E−06

1.78E−06

2.67E−06

1.78E−06

1.78E−06

3.13E−04

1.78E−06

f6

5.26E−02

7.07E−01

6.77E−01

2.09E−04

1.68E−05

2.43E−05

1.78E−06

2.27E−04

1.32E−01

1.78E−06

f7

1.86E−01

1.73E−01

2.18E−06

7.15E−06

1.78E−06

2.41E−06

1.78E−06

1.78E−06

2.29E−03

1.78E−06

f8

8.65E−01

4.77E−02

1.67E−01

1.78E−06

1.12E−02

3.31E−01

1.78E−06

3.66E−04

1.22E−01

8.37E−05

f9

9.63E−01

3.52E−01

2.34E−02

6.27E−04

1.34E−02

8.01E−01

1.41E−03

9.41E−03

1.67E−01

3.18E−05

f10

2.92E−01

6.04E−01

3.92E−02

1.97E−06

1.42E−02

7.91E−01

5.35E−06

6.34E−02

2.15E−01

9.41E−03

Problem 01

2.17E−06

6.95E−01

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

Problem 02

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

Problem 03

3.13E−02

1

6.10E−05

9.21E−05

1.78E−06

3.90E−06

1.78E−06

1.78E−06

1

8.55E−06

Problem 04

1

1

2.62E−06

1.87E−05

1.78E−06

1.56E−02

1.78E−06

1.78E−06

3.91E−03

1.78E−06

Problem 05

1.00E+00

3.13E−01

1.78E−06

3.16E−06

1.78E−06

1.78E−06

1.78E−06

1.78E−06

2.63E−06

1.78E−06