Table 1 Statistical results for CEC 2019 Test Suite.

CEC01

Mean

1.59E+05

3.42E+11

1.34E+09

5.57E+05

6.65E+09

7.51E+04

Std

1.60E+05

3.39E+11

1.72E+09

4.12E+05

9.21E+09

9.45E+04

p-rank

−

−

−

−

−

f-rank

2

6

4

3

5

1

CEC02

Mean

2.39E+06

4.83E+01

1.73E+01

1.79E+01

1.75E+01

1.73E+01

Std

2.72E+04

9.29E+01

1.65E−05

4.10E−01

7.24E−02

6.24E−05

p-rank

−

−

+

−

−

f-rank

6

5

1

4

3

2

CEC03

Mean

1.31E+06

1.27E+01

1.27E+01

1.27E+01

1.27E+01

1.27E+01

Std

8.52E+05

1.60E−03

1.40E−11

3.14E−05

4.73E−05

1.53E−16

p-rank

−

−

−

−

−

f-rank

6

5

2

3

4

1

CEC04

Mean

3.48E+05

1.55E+03

3.75E+01

2.63E+03

1.15E+03

3.75E+01

Std

1.15E+05

1.63E+03

2.05E+01

1.06E+03

4.12E+02

1.92E+01

p-rank

−

−

−

−

−

f-rank

6

4

2

5

3

1

CEC05

Mean

1.67E+05

2.16E+00

1.19E+00

2.49E+00

2.17E+00

1.25E+00

Std

8.43E+04

3.06E−01

1.23E−01

2.91E−01

8.31E−02

2.00E−01

p-rank

−

−

+

−

−

f-rank

3

4

1

6

5

2

CEC06

Mean

3.84E+04

9.77E+00

1.10E+01

1.14E+01

1.08E+01

1.09E+01

Std

2.06E+03

1.49E+00

7.62E−01

9.15E−01

5.72E−01

6.16E−01

p-rank

−

+

−

−

+

f-rank

6

1

4

5

2

3

CEC07

Mean

9.11E+06

1.26E+03

5.05E+00

9.08E+02

5.85E+00

5.11E+02

Std

4.53E+06

4.12E+02

6.27E−01

2.35E+02

5.42E−01

2.78E+02

p-rank

−

−

+

−

+

f-rank

6

5

1

4

2

3

CEC08

Mean

1.22E+09

7.01E+00

4.85E+00

6.15E+00

5.93E+00

4.83E+00

Std

4.39E+08

2.15E−01

7.80E−01

5.84E−01

5.91E−01

1.83E−01

p-rank

−

−

−

−

−

f-rank

6

5

2

4

3

1

CEC09

Mean

9.21E+08

2.71E+02

2.55E+00

3.69E+02

9.12E+01

4.19E+00

Std

1.13E+08

3.52E+02

1.54E−01

1.41E+02

6.96E+01

6.57E−01

p-rank

−

−

+

−

−

f-rank

6

4

1

5

3

2

CEC10

Mean

1.54E+06

2.05E+01

1.93E+01

2.05E+01

2.04E+01

2.00E+01

Std

7.46E+05

1.12E−01

3.65E+00

7.44E−02

1.55E−01

2.57E+00

p-rank

−

−

+

−

−

f-rank

6

4

1

5

3

2

Average f-rank

5.3

4.3

1.9

4.4

3.3

1.8

Overall f-rank

6

4

2

5

3

1