Research Article

Improving Vector Evaluated Particle Swarm Optimisation by Incorporating Nondominated Solutions

Table 6

Performance comparison based on ZDT1 test problem.

Measure AbYSS NSGA-II SPEA2 SMPSO VEPSOnds2

NS
  Ave. 100.000000100.000000100.000000100.00000099.790000
  SD 0.000000 0.000000 0.000000 0.000000 1.458483
  Min. 100.000000100.000000100.000000100.00000086.000000
  Max. 100.000000100.000000100.000000100.000000100.000000
GD
  Ave. 0.000185 0.000223 0.000220 0.000117 0.002194
  SD 0.000035 0.000038 0.000028 0.000031 0.003505
  Min. 0.000125 0.000146 0.000154 0.000053 0.000169
  Max. 0.000343 0.000374 0.000400 0.000172 0.019113
SP
  Ave. 0.105387 0.379129 0.148572 0.076608 0.571807
  SD 0.012509 0.028973 0.012461 0.009200 0.248304
  Min. 0.080690 0.282485 0.116765 0.056009 0.168144
  Max. 0.136747 0.441002 0.174986 0.099653 1.127141
HV
  Ave. 0.661366 0.659333 0.659999 0.661801 0.631216
  SD 0.000269 0.000301 0.000301 0.000100 0.046091
  Min. 0.660267 0.658486 0.659347 0.661372 0.438793
  Max. 0.661724 0.659909 0.660629 0.661991 0.661363