Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions

Table 9

Performance comparison based on ZDT4 test problem.

Measure	AbYSS	NSGA-II	SPEA2	SMPSO	VEPSOnds2
NS
Ave.	99.680000	100.000000	100.000000	100.000000	64.220000
SD	3.100603	0.000000	0.000000	0.000000	38.860949
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	0.349438
SD	0.002632	0.000235	0.001428	0.000027	0.431632
Min.	0.000148	0.000163	0.000176	0.000070	0.000165
Max.	0.014472	0.001374	0.012292	0.000187	1.923652
SP
Ave.	0.159842	0.392885	0.298269	0.092281	0.962023
SD	0.120180	0.037083	0.125809	0.011777	0.367664
Min.	0.078244	0.324860	0.137934	0.067379	0.144160
Max.	1.073669	0.473358	0.884091	0.124253	1.435101
HV
Ave.	0.646058	0.654655	0.645336	0.661401	0.437755
SD	0.034449	0.003406	0.018773	0.000162	0.155761
Min.	0.472299	0.642177	0.505799	0.660934	0.000000
Max.	0.661594	0.659710	0.658784	0.661726	0.660821