Research Article

Improving Vector Evaluated Particle Swarm Optimisation Using Multiple Nondominated Leaders

Table 4

Algorithm performance tested on ZDT3 problem.

Measure VEPSO VEPSOnds VEPSOml1 VEPSOml2

NS Ave. 35.150000 99.600000 95.710000 96.500000
SD 6.853997 3.405284 11.528003 11.372037
Min. 21.000000 66.000000 46.000000 49.000000
Max. 53.000000 100.000000 100.000000 100.000000

GD Ave. 0.173060 0.009607 0.002586 0.001456
SD 0.031253 0.008293 0.003904 0.002533
Min. 0.079595 0.000433 0.000153 0.000159
Max. 0.276801 0.039481 0.017547 0.007328

SP Ave. 0.871146 1.109448 0.761061 0.752151
SD 0.043319 0.086041 0.056129 0.050459
Min. 0.701884 0.902861 0.701924 0.703181
Max. 1.001428 1.322024 0.934796 0.981492

HV Ave. 0.004722 0.373133 0.476679 0.493073
SD 0.021699 0.083015 0.060626 0.045211
Min.ā€” 0.112859 0.289513 0.391275
Max. 0.167359 0.506222 0.515919 0.515941