Fusion Global-Local-Topology Particle Swarm Optimization for Global Optimization Problems

Table 1

Dimensions, ranges, and global optimum values of test functions used in the experiments.

Test function	Dimension (𝑛)	[Range]^𝑛	𝑋opt	𝐹opt
𝐹1(𝑥)	10/30/50	[−100,100]^𝑛	0	0
𝐹2(𝑥)	10/30/50	[−10,10]^𝑛	0	0
𝐹3(𝑥)	10/30/50	[−100,100]^𝑛	0	0
𝐹4(𝑥)	10/30/50	[−1.28,1.28]^𝑛	0	0
𝐹5(𝑥)	10/30/50	[−10,10]^𝑛	1	0
𝐹6(𝑥)	10/30/50	[−500,500]^𝑛	[420.96]^𝑛	−418.9829×𝑛
𝐹7(𝑥)	10/30/50	[−32,32]^𝑛	0	0
𝐹8(𝑥)	10/30/50	[−50,50]^𝑛	0	0
𝐹9(𝑥)	10/30/50	[−5.12,5.12]^𝑛	0	0
𝐹10(𝑥)	10/30/50	[−10,10]^𝑛	0	0
𝐹11(𝑥)	10/30/50	[−5,5]^𝑛	0	0
𝐹12(𝑥)	10/30/50	[−5.12,5.12]^𝑛	0	0
𝐹13(𝑥)	10/30/50	[−0.5,0.5]^𝑛	0	0
𝐹14(𝑥)	10/30/50	[−100,100]^𝑛	0	0
𝐹15(𝑥)	10/30/50	[−100,100]^𝑛	0	−450
𝐹16(𝑥)	10/30/50	[−600,600]^𝑛	0	−180
𝐹17(𝑥)	10/30/50	[−100,100]^𝑛	1	390
𝐹18(𝑥)	10/30/50	[−5.2,5.2]^𝑛	0	−330
𝐹19(𝑥)	10/30/50	[−32,32]^𝑛	0	−140
𝐹20(𝑥)	10/30/50	[−5.2,5.2]^𝑛	0	−330