Research Article

Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions

Table 10

Performance comparison based on ZDT6 test problem.

Measure AbYSS NSGA-II SPEA2 SMPSO VEPSOnds2

NS
  Ave.100.000000100.000000100.000000100.00000081.030000
  SD 0.000000 0.000000 0.000000 0.000000 25.075021
  Min.100.000000100.000000100.000000100.00000024.000000
  Max.100.000000100.000000100.000000100.000000100.000000
GD
  Ave. 0.000549 0.001034 0.001761 0.012853 0.266259
  SD 0.000015 0.000102 0.000192 0.024813 0.168404
  Min. 0.000510 0.000804 0.001267 0.000502 0.035520
  Max. 0.000596 0.001360 0.002207 0.092434 0.735990
SP
  Ave. 0.097740 0.357160 0.226433 0.390481 1.286909
  SD 0.013129 0.031711 0.020658 0.497140 0.075052
  Min. 0.070455 0.282201 0.179482 0.042666 1.067748
  Max. 0.130389 0.441311 0.292897 1.377582 1.410091
HV
  Ave. 0.400346 0.388304 0.378377 0.401280 0.281256
  SD 0.000172 0.001604 0.002714 0.000076 0.119017
  Min. 0.399821 0.383637 0.371907 0.401081 0.026496
  Max. 0.400842 0.392123 0.385626 0.401402 0.401005