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Table 1 Twenty benchmark problems

From: Particle swarm optimization using multi-information characteristics of all personal-best information

Function name

Dimensions

Search range

Global optimum

f 1(x)

20/30/50

[−100, 100]D

0

f 2(x)

20/30/50

[−10, 10]D

0

f 3(x)

20/30/50

[−100, 100]D

0

f 4(x)

20/30/50

[−100, 100]D

0

f 5(x)

20/30/50

[−100, 100]D

0

f 6(x)

20/30/50

[−1.28, 1.28]D

0

f 7(x)

20/30/50

[−5.12, 5.12]D

0

f 8(x)

20/30/50

[−5.12, 5.12]D

0

f 9(x)

20/30/50

[−32, 32]D

0

f 10(x)

20/30/50

[−600, 600]D

0

f 11(x)

20/30/50

[−0.5, 0.5]D

0

f 12(x)

20/30/50

[−50, 50]D

0

f 13(x)

20/30/50

[−1, 1]D

0

f 14(x)

20/30/50

[−5.12, 5.12]D

0

f 15(x)

20/30/50

[−100, 100]D

0

f 16(x)

20/30/50

[−100, 100]D

0

f 17(x)

20/30/50

[−1.28, 1.28]D

0

f 18(x)

20/30/50

[−100, 100]D

−450

f 19(x)

20/30/50

[−32, 32]D

−140

f 20(x)

20/30/50

[−0.5, 0.5]D

90