Table 3 The experimental results of all algorithms on the considered test suite.

From: Boosting biogas production through innovative data-driven modeling and optimization methods at NJWTP

Function

BOA45

DMOA46

HBA47

BOOA

 

Avg

Std

Avg

Std

Avg

Std

Avg

Std

F1

9.81\(\:\times\:\)102

9.89\(\:\times\:\)102

11.56\(\:\times\:\)102

9.01\(\:\times\:\)109

9.32\(\:\times\:\)106

5.89\(\:\times\:\)107

8.63\(\:\times\:\)102

8.61\(\:\times\:\)102

F2

10.58\(\:\times\:\)102

7.79\(\:\times\:\)10−1

9.92\(\:\times\:\)104

7.63\(\:\times\:\)104

8.26\(\:\times\:\)103

6.63\(\:\times\:\)103

7.52\(\:\times\:\)102

5.41\(\:\times\:\)102

F3

8.36\(\:\times\:\)102

5.57\(\:\times\:\)10−1

7.82\(\:\times\:\)104

5.41\(\:\times\:\)104

6.36\(\:\times\:\)103

5.35\(\:\times\:\)103

5.84\(\:\times\:\)102

4.61\(\:\times\:\)102

F4

9.81\(\:\times\:\)102

8.63\(\:\times\:\)10−1

12.81\(\:\times\:\)102

6.93\(\:\times\:\)102

8.56\(\:\times\:\)102

8.13\(\:\times\:\)101

6.23\(\:\times\:\)102

4.23

F5

9.81\(\:\times\:\)102

8.25

10.35\(\:\times\:\)102

7.23\(\:\times\:\)101

9.95\(\:\times\:\)102

6.15\(\:\times\:\)101

8.36\(\:\times\:\)102

5.23

F6

10.22\(\:\times\:\)102

8.23\(\:\times\:\)10−14

10.21\(\:\times\:\)102

5.91\(\:\times\:\)101

10.63\(\:\times\:\)102

5.56\(\:\times\:\)101

9.43\(\:\times\:\)102

5.18\(\:\times\:\)10−1

F7

11.57\(\:\times\:\)102

10.29\(\:\times\:\)102

12.34\(\:\times\:\)102

6.32\(\:\times\:\)101

11.84\(\:\times\:\)102

5.96\(\:\times\:\)101

10.16\(\:\times\:\)102

8.83

F8

23.45\(\:\times\:\)102

9.85

22.26\(\:\times\:\)102

9.25\(\:\times\:\)101

20.14\(\:\times\:\)102

10.83\(\:\times\:\)101

15.05\(\:\times\:\)102

10.43

F9

46.12\(\:\times\:\)102

16.83

9.63\(\:\times\:\)103

11.27\(\:\times\:\)102

4.89\(\:\times\:\)103

8.69\(\:\times\:\)102

19.72\(\:\times\:\)102

4.23

F10

5.01\(\:\times\:\)103

4.42

5.87\(\:\times\:\)103

7.89\(\:\times\:\)102

4.89\(\:\times\:\)103

5.96\(\:\times\:\)102

4.01\(\:\times\:\)103

5.26\(\:\times\:\)102