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Journal of Electrical Systems and Information Technology

Table 2 Test results of CEC17 test functions

From: An improved whale optimization algorithm for the model order reduction of large-scale systems

S.No

Name of the function

Order of the function

IWOA

WOA

DE

PSO

Fitness value

 

1

Bent Cigar Function

f1(x)

1.1345 e−104

4.0897 e−88

3.3893 e−04

1.9313 e−15

2

Sum of Differential Power Function

f2(x)

99.515675936657374

99.515675945535875

99.5157

99.5157

3

Zakharov Function

f3(x)

3.2883e−111

9.5876e−80

2.5150e−08

4.1649e−09

4

Rosenbrocks Function

f4(x)

1.0812e−06

1.1866e−06

3.0034e−03

1.6720 e−02

5

Rastrigin's Function

f5(x)

1.4970 e−86

1.3548 e−80

5.6960 e−05

0.001.2 e−03

6

Expanded Schaffers function

f6(x)

0.0017

0.0097

0.0065

0.0532

7

Lunacek bi-Rastrigin function

f7(x)

2.3231 e−09

2.7252 e−07

0.0373

0.1205

8

Levy Function

F8(x)

70.1407e + 00

70.0737 e + 00

70.3698e + 00

78.0292e + 00

9

Modified Schwefel's Function

F9(x)

3.0417e + 06

4.1183e + 06

4.1479e + 06

4.1482e + 06

10

High Conditioned Elliptic function

f10(x)

1.4715 e−90

3.5101 e−80

3.5632 e−04

1.6684 e−80

11

Discuss function

F11(x)

1.4795 e−93

1.7573 e−73

8.6146 e−13

3.1554 e−22

12

Ackley's Function

F12(x)

1.6556e + 002

1.6556e + 002

1.6587e + 002

8.5076e + 00

13

Weierstrass Function

F13(x)

9.441375732422 e−03

9.441375732713 e−03

9.441375732812 e−03

9.441375733129 e−03

14

Griewanks Function

F14(x)

9.8255 e−14

5.6654 e−08

0.3131 e−04

1.0852 e−07

15

Katsuura Function

f15(x)

1.4746 e−11

1.7937 e−10

4.4305 e−10

1.7377e−10

16

HappyCat Function

f16(x)

3.5338 e−05

1.7126 e−04

0.9555

1.6875 e−08

17

HGBat Function

f17(x)

1.4610 e−06

2.7428 e−06

2.5256 e−03

8.2076 e−04

18

Expanded Griewanks plus Rosenbrocks Function

f18(x)

25.312

63.6412

4.5131

7.9816

19

Schaffer's function

F19(x)

0.0010

0.1606

0.0090

0.4613

  1. Bold represent the best fitness Values
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