Research Article

Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions

Table 7

Performance comparison based on ZDT2 test problem.

Measure AbYSS NSGA-II SPEA2 SMPSO VEPSOnds2

NS
  Ave. 100.000000100.000000100.000000100.00000097.490000
  SD 0.000000 0.000000 0.000000 0.000000 7.832198
  Min. 100.000000100.000000100.000000100.00000049.000000
  Max. 100.000000100.000000100.000000100.000000100.000000
GD
  Ave. 0.000131 0.000176 0.000182 0.000051 0.002003
  SD 0.000067 0.000066 0.000039 0.000003 0.003483
  Min. 0.000056 0.000093 0.000090 0.000044 0.000198
  Max. 0.000433 0.000707 0.000304 0.000060 0.017750
SP
  Ave. 0.130425 0.378029 0.158187 0.071698 0.687560
  SD 0.090712 0.028949 0.027529 0.013981 0.278814
  Min. 0.080831 0.311225 0.118114 0.035786 0.242474
  Max. 0.833933 0.430516 0.365650 0.106749 1.460767
HV
  Ave. 0.325483 0.326117 0.326252 0.328576 0.296372
  SD 0.023209 0.000297 0.000908 0.000077 0.053300
  Min. 0.096409 0.325278 0.318785 0.328349 0.043514
  Max. 0.328505 0.326696 0.327559 0.328736 0.327309