Research Article

Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions

Table 8

Performance comparison based on ZDT3 test problem.

Measure AbYSS NSGA-II SPEA2 SMPSO VEPSOnds2

NS
  Ave. 100.000000100.000000100.00000099.90000099.400000
  SD 0.000000 0.000000 0.000000 0.904534 6.000000
  Min. 100.000000100.000000100.00000091.00000040.000000
  Max. 100.000000100.000000100.000000100.00000 100.000000
GD
  Ave. 0.000193 0.000211 0.000230 0.000203 0.002040
  SD 0.000019 0.000013 0.000019 0.000061 0.002268
  Min. 0.000144 0.000180 0.000184 0.000155 0.000223
  Max. 0.000264 0.000268 0.000327 0.000717 0.013231
SP
  Ave. 0.707651 0.747853 0.711165 0.717493 1.121149
  SD 0.013739 0.015736 0.008840 0.032822 0.099980
  Min. 0.696859 0.715199 0.698590 0.697943 0.858725
  Max. 0.796404 0.793183 0.775317 0.950901 1.362217
HV
  Ave. 0.512386 0.514813 0.513996 0.514996 0.471686
  SD 0.011314 0.000159 0.000675 0.001737 0.038568
  Min. 0.463776 0.514449 0.510764 0.500484 0.332399
  Max. 0.515960 0.515185 0.514668 0.515818 0.514600