Table 10 Statistical results of CEAHA compared with other optimization algorithms in CEC2022(20D).

From: Enhanced artificial hummingbird algorithm with chaotic traversal flight

Fun

index

AHACLL

AHA

DGSAHA

IAHA

LCAHA

AOA

COA

CS

CSBO

EEFO

EMA

SaNSDE

CF1

Mean

7.86E+02

6.16E+03+

2.08E+04+

1.23E+04+

1.28E+04+

3.13E+04+

1.90E+03+

8.75E+04+

4.40E+02-

7.54E+03+

5.01E+04+

1.55E+04+

 

Std

1.21E+02

2.43E+03

4.12E+03

6.33E+03

4.59E+03

8.69E+03

1.19E+03

4.53E+04

1.83E+02

2.69E+03

1.14E+04

1.20E+04

CF2

Mean

4.42E+02

4.67E+02+

4.43E+02\(\approx\)

4.52E+02+

4.58E+02+

2.34E+03+

4.11E+02-

6.59E+03+

4.47E+02+

4.68E+02+

4.59E+02+

4.48E+02+

 

Std

1.37E+01

1.51E+01

1.97E+01

9.36E+00

1.12E+01

8.19E+02

1.94E+01

1.32E+03

8.07E+00

2.19E+01

1.37E+01

1.80E+00

CF3

Mean

6.00E+02

6.01E+02+

6.00E+02+

6.01E+02+

6.01E+02+

6.64E+02+

6.03E+02+

7.06E+02+

6.00E+02+

6.02E+02+

6.01E+02+

6.00E+02+

 

Std

2.05E−03

2.42E+00

3.59E−01

2.99E+00

2.35E+00

1.17E+01

5.42E+00

9.34E+00

3.16E−02

1.22E+00

1.39E+00

1.45E−02

CF4

Mean

8.42E+02

8.73E+02+

8.84E+02+

8.77E+02+

8.76E+02+

9.53E+02+

8.28E+02-

1.07E+03+

8.83E+02+

8.52E+02+

9.30E+02+

8.85E+02+

 

Std

6.44E+00

1.81E+01

6.87E+00

1.52E+01

1.69E+01

1.74E+01

5.70E+00

2.91E+01

1.26E+01

1.76E+01

1.83E+01

1.64E+01

CF5

Mean

9.12E+02

1.89E+03+

2.43E+03+

1.81E+03+

1.87E+03+

2.98E+03+

9.82E+02\(\approx\)

9.99E+03+

9.00E+02-

1.00E+03+

9.27E+02\(\approx\)

9.00E+02-

 

Std

4.97E+00

4.75E+02

1.28E+02

4.85E+02

4.38E+02

4.11E+02

1.51E+02

1.96E+03

3.05E−02

1.23E+02

3.30E+01

1.07E−01

CF6

Mean

1.96E+03

3.59E+03+

1.82E+04+

3.94E+03+

3.86E+03+

8.32E+08+

4.56E+03+

4.28E+09+

2.01E+03\(\approx\)

4.75E+03+

6.10E+03+

1.40E+04+

 

Std

1.11E+02

1.99E+03

1.45E+04

1.86E+03

2.47E+03

7.64E+08

1.78E+03

1.60E+09

6.28E+02

3.23E+03

5.03E+03

4.30E+04

CF7

Mean

2.02E+03

2.07E+03+

2.05E+03+

2.05E+03+

2.05E+03+

2.20E+03+

2.02E+03\(\approx\)

2.36E+03+

2.06E+03+

2.05E+03+

2.07E+03+

2.05E+03+

 

Std

4.32E+00

3.80E+01

1.22E+01

2.58E+01

1.45E+01

4.20E+01

5.14E+00

9.22E+01

9.08E+00

1.45E+01

3.12E+01

5.91E+00

CF8

Mean

2.22E+03

2.22E+03+

2.22E+03+

2.22E+03+

2.22E+03+

2.50E+03+

2.22E+03+

3.30E+03+

2.23E+03+

2.22E+03+

2.23E+03+

2.23E+03+

 

Std

1.50E−01

4.97E+00

7.39E−01

3.05E+00

4.27E+00

2.26E+02

8.10E+00

1.03E+03

1.71E+00

2.22E+00

1.03E+01

2.66E+00

CF9

Mean

2.48E+03

2.49E+03+

2.47E+03-

2.48E+03+

2.48E+03+

3.22E+03+

2.53E+03+

3.51E+03+

2.48E+03-

2.48E+03+

2.48E+03\(\approx\)

2.48E+03-

 

Std

9.77E−02

3.80E+00

2.69E+00

1.88E+00

1.99E+00

2.66E+02

2.68E+01

3.18E+02

4.83E−06

2.25E+00

7.10E+00

7.70E−04

CF10

Mean

2.50E+03

2.53E+03+

2.51E+03+

2.53E+03+

2.54E+03+

5.41E+03+

2.55E+03+

6.51E+03+

2.62E+03+

2.53E+03+

2.98E+03+

2.52E+03+

 

Std

5.76E−02

6.70E+01

2.54E+01

6.33E+01

8.39E+01

1.15E+03

5.98E+01

1.51E+03

3.36E+02

5.54E+01

5.07E+02

6.89E+01

CF11

Mean

2.85E+03

2.93E+03+

2.93E+03+

2.92E+03+

2.93E+03+

8.26E+03+

2.74E+03-

1.21E+04+

2.93E+03\(\approx\)

2.95E+03+

2.96E+03+

2.93E+03\(\approx\)

 

Std

1.14E+02

1.11E+02

5.90E+01

7.16E+01

4.25E+01

9.18E+02

1.39E+02

1.68E+03

4.66E+01

5.84E+01

1.26E+02

5.00E+01

CF12

Mean

2.94E+03

2.98E+03+

2.91E+03-

2.97E+03+

2.96E+03+

3.79E+03+

2.87E+03-

3.76E+03+

2.94E+03-

2.97E+03+

2.95E+03+

2.94E+03\(\approx\)

 

Std

3.73E+00

1.62E+01

6.62E+00

1.54E+01

1.33E+01

2.11E+02

8.35E+00

2.12E+02

3.33E+00

1.90E+01

1.07E+01

6.72E+00

Chaos wins

+

12

9

12

12

12

6

12

6

12

10

8

Similar

\(\approx\)

0

1

0

0

0

2

0

2

0

2

2

Competitor wins

–

0

2

0

0

0

4

0

4

0

0

2

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