Table 5 The Friedman mean rank test results for 16 benchmark functions.

From: A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems

Functions

AOA

LAOA

CAOA

IAOA

COAOA

EVO

SWO

KOA

GRO

GOOSE

CDAOA

1

3.33

4.67

5.83

5.50

4.17

8.17

6.67

10.00

5.67

11.00

1.00

2

3.50

3.50

3.50

3.50

3.50

9.00

8.00

10.00

7.00

11.00

3.50

3

4.50

4.17

5.50

5.50

3.83

9.17

4.83

10.83

7.00

9.67

1.00

4

5.83

4.00

5.67

4.83

7.33

9.00

3.33

10.17

4.83

10.00

1.00

5

5.50

4.33

4.17

4.17

5.00

8.17

6.50

10.00

6.17

11.00

1.00

6

5.17

3.33

4.17

3.83

4.83

9.00

7.50

10.00

6.17

11.00

1.00

7

8.47

8.97

8.33

8.67

8.03

8.37

2.00

5.10

3.00

4.07

1.00

8

3.50

3.50

3.50

3.50

3.50

9.00

7.67

10.00

7.33

11.00

3.50

9

7.83

8.00

10.50

8.17

10.50

4.83

4.50

2.17

5.17

3.33

1.00

10

8.17

8.00

7.00

8.67

8.00

3.33

2.17

6.83

4.33

8.50

1.00

11

4.50

4.50

4.50

4.50

4.50

9.17

4.50

9.83

4.50

11.00

4.50

12

4.00

4.00

4.00

4.00

4.00

9.33

4.00

9.67

8.00

11.00

4.00

13

9.17

8.00

7.67

7.33

7.33

3.75

2.25

6.00

2.25

10.00

2.25

14

3.50

3.50

3.50

3.50

3.50

9.83

8.00

9.33

7.00

10.83

3.50

15

6.50

5.67

5.33

4.00

6.67

10.50

2.00

9.17

4.83

10.33

1.00

16

3.58

3.58

3.58

3.58

3.58

10.67

7.50

8.00

8.00

10.33

3.58