Improving Vector Evaluated Particle Swarm Optimisation Using Multiple Nondominated Leaders

Table 5

Algorithm performance tested on ZDT4 problem.

Measure		VEPSO	VEPSOnds	VEPSOml1	VEPSOml2
NS	Ave.	6.610000	95.250000	82.730000	51.470000
	SD	3.920665	16.518967	30.304800	35.623864
	Min.	1.000000	15.000000	6.000000	4.000000
	Max.	21.000000	100.000000	100.000000	100.000000
GD	Ave.	5.062543	0.383646	0.231380	0.449095
	SD	3.167428	0.478535	0.841726	1.060986
	Min.	0.000000	0.000155	0.000062	0.000146
	Max.	13.350278	2.049212	7.013747	6.835452
SP	Ave.	0.858655	1.035510	0.572461	0.735715
	SD	0.147255	0.347336	0.286004	0.201246
	Min.	0.483073	0.077112	0.135264	0.269484
	Max.	1.236461	1.419225	1.139773	1.088971
HV	Ave.	0.228824	0.399914	0.357553	0.307568
	SD	0.188151	0.159971	0.281263	0.272435
	Min.	—	—	—	—
	Max.	0.573978	0.661941	0.661917	0.660309