Table 5 The best values of AHA, AO, DA, DMOA, GBO, HGS, HHO, LFGOA, and MVO.

From: Enhancing grasshopper optimization algorithm (GOA) with levy flight for engineering applications

F

AHA

AO

DA

DMOA

GBO

HGS

HHO

LFGOA

MVO

F1

5.27E-34

1.99E-39

4.47E-02

3.84E-02

7.49E-17

0.00E+00

6.22E-33

2.20E-11

1.20E-01

F2

4.34E-15

7.20E-20

5.21E-01

2.10E-02

1.20E-33

1.01E-26

2.72E-20

1.94E-31

8.16E-02

F3

3.32E-29

1.95E-39

1.20E+01

3.49E+02

1.61E-22

1.45E-38

4.74E-27

1.19E-12

2.91E-01

F4

2.48E-14

2.72E-20

3.99E+00

4.13E+00

2.63E+01

3.20E-28

2.25E-15

5.18E-07

1.64E-01

F5

2.87E+01

1.28E-04

1.01E+01

1.47E+02

1.05E-22

2.28E-02

4.26E-02

3.84E+00

5.99E+01

F6

0.00E+00

2.20E-06

1.52E+00

1.94E-02

2.02E-20

6.45E-06

3.88E-04

2.31E-01

1.19E-01

F7

3.63E-04

1.91E-04

7.03E-03

8.41E-03

2.18E+00

1.10E-04

7.29E-04

1.31E-04

3.82E-03

F8

−7.51E+03

−3.01E+03

−2.51E+03

−1.38E+14

2.25E-02

−1.26E+04

−1.26E+04

−1.58E+03

−2.57E+03

F9

0.00E+00

0.00E+00

1.64E+01

3.42E+01

3.82E-04

0.00E+00

0.00E+00

0.00E+00

3.79E+01

F10

4.44E-15

8.88E-16

2.35E+00

5.68E-01

7.90E-14

8.88E-16

4.44E-15

1.45E-09

1.86E-01

F11

0.00E+00

0.00E+00

7.60E-01

7.01E-01

2.42E-13

0.00E+00

0.00E+00

3.51E-10

7.12E-01

F12

6.31E-02

4.23E-08

3.75E-01

2.46E-01

5.73E-01

3.19E-06

8.01E-06

9.23E-05

3.79E-03

F13

2.71E+00

7.88E-07

1.55E-02

1.51E-01

4.81E-01

1.92E-06

3.46E-05

1.97E-05

3.54E-02

F14

9.98E-01

2.98E+00

9.98E-01

9.98E-01

1.01E-14

9.98E-01

1.99E+00

9.98E-01

9.98E-01

F15

4.17E-04

4.87E-04

1.66E-03

1.06E-03

3.07E-04

7.78E-04

3.25E-04

1.31E-03

7.55E-04

F16

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

F17

3.98E-01

3.98E-01

3.98E-01

3.98E-01

3.98E-01

3.98E-01

3.98E-01

3.98E-01

3.98E-01

F18

3.00E+00

3.02E+00

3.00E+00

3.00E+00

3.00E+00

3.00E+00

3.00E+00

3.00E+00

3.00E+00

F19

−3.86E+00

−3.85E+00

−3.86E+00

−3.86E+00

−3.86E+00

−3.86E+00

−3.86E+00

−3.59E+00

−3.86E+00

F20

−3.32E+00

−3.08E+00

−3.17E+00

−3.32E+00

−3.32E+00

−3.32E+00

−3.02E+00

−3.32E+00

−3.32E+00

F21

−9.61E+00

−1.02E+01

−1.02E+01

−1.02E+01

−5.06E+00

−1.02E+01

−5.05E+00

−5.06E+00

−1.02E+01

F22

−1.04E+01

−1.04E+01

−1.04E+01

−1.04E+01

−1.04E+01

−1.04E+01

−5.09E+00

−5.09E+00

−2.77E+00

F23

−1.04E+01

−1.05E+01

−1.05E+01

−1.05E+01

−5.13E+00

−1.05E+01

−5.11E+00

−5.13E+00

−1.05E+01

  1. The best of the comparison results are in [bold].