Research Article

Improving Vector Evaluated Particle Swarm Optimisation Using Multiple Nondominated Leaders

Table 11

Performance comparison based on ZDT6 test problem.

Measure AbYSS NSGA-II SPEA2 SMPSO VEPSOml2

NS Ave. 100.000000 100.000000 100.000000 100.000000 88.590000
SD 0.000000 0.000000 0.000000 0.000000 23.600674
Min. 100.000000 100.000000 100.000000 100.000000 16.000000
Max. 100.000000 100.000000 100.000000 100.000000 100.000000

GD Ave. 0.000549 0.001034 0.001761 0.012853 0.217929
SD 0.000015 0.000102 0.000192 0.024813 0.263966
Min. 0.000510 0.000804 0.001267 0.000502 0.000482
Max. 0.000596 0.001360 0.002207 0.092434 1.316312

SP Ave. 0.097740 0.357160 0.226433 0.390481 1.273612
SD 0.013129 0.031711 0.020658 0.497140 0.186562
Min. 0.070455 0.282201 0.179482 0.042666 0.082405
Max. 0.130389 0.441311 0.292897 1.377582 1.439400

HV Ave. 0.400346 0.388304 0.378377 0.401280 0.315964
SD 0.000172 0.001604 0.002714 0.000076 0.121842
Min. 0.399821 0.383637 0.371907 0.401081 0.000001
Max. 0.400842 0.392123 0.385626 0.401402 0.401483