Improving Vector Evaluated Particle Swarm Optimisation Using Multiple Nondominated Leaders

Table 10

Performance comparison based on ZDT4 test problem.

Measure		AbYSS	NSGA-II	SPEA2	SMPSO	VEPSOml2
NS	Ave.	99.680000	100.000000	100.000000	100.000000	51.470000
	SD	3.100603	0.000000	0.000000	0.000000	35.623864
	Min.	69.000000	100.000000	100.000000	100.000000	4.000000
	Max.	100.000000	100.000000	100.000000	100.000000	100.000000
GD	Ave.	0.001231	0.000486	0.000923	0.0001347	0.449095
	SD	0.002632	0.000235	0.001428	0.000027	1.060986
	Min.	0.000148	0.000163	0.000176	0.000070	0.000146
	Max.	0.014472	0.001374	0.012292	0.000187	6.835452
SP	Ave.	0.159842	0.392885	0.298269	0.092281	0.735715
	SD	0.120180	0.037083	0.125809	0.011777	0.201246
	Min.	0.078244	0.324860	0.137934	0.067379	0.269484
	Max.	1.073669	0.473358	0.884091	0.124253	1.088971
HV	Ave.	0.646058	0.654655	0.645336	0.661401	0.307568
	SD	0.034449	0.003406	0.018773	0.000162	0.272435
	Min.	0.472299	0.642177	0.505799	0.660934	—
	Max.	0.661594	0.659710	0.658784	0.661726	0.660309