Table 4 p-Values of the Wilcoxon rank-sum test.

From: Refining swarm behaviors with human-swarm interaction strategies: An improved monkey algorithm for multidimensional optimization problems

Function

Dimension

MA

PSO

GA

FA

SCA

Ackley

2

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

4

 < 0.001

0.475

 < 0.001

 < 0.001

 < 0.001

6

 < 0.001

0.007

 < 0.001

 < 0.001

 < 0.001

8

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

10

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

15

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

20

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

Rastrigin

2

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

4

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

6

 < 0.001

 < 0.001

0.075

 < 0.001

 < 0.001

8

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

10

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

15

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

20

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

Drop-wave

2

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

4

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

6

 < 0.001

0.058

 < 0.001

 < 0.001

 < 0.001

8

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

10

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

15

0.407

 < 0.001

 < 0.001

 < 0.001

 < 0.001

20

 < 0.001

0.312

 < 0.001

 < 0.001

 < 0.001

Griewank

2

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

4

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

6

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

8

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

10

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

15

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

20

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

Levy

2

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

4

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

6

 < 0.001

0.012

 < 0.001

 < 0.001

 < 0.001

8

 < 0.001

0.140

 < 0.001

 < 0.001

 < 0.001

10

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

15

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

20

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

Weierstrass

2

 < 0.001

 < 0.001

0.004

 < 0.001

 < 0.001

4

 < 0.001

0.014

0.220

 < 0.001

 < 0.001

6

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

8

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

10

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

15

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

20

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

Sphere

2

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

4

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

6

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

8

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

10

 < 0.001

0.002

 < 0.001

 < 0.001

 < 0.001

15

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001

20

 < 0.001

 < 0.001

 < 0.001

 < 0.001

 < 0.001