Research Article

Improving Vector Evaluated Particle Swarm Optimisation Using Multiple Nondominated Leaders

Table 6

Algorithm performance tested on ZDT6 problem.

Measure VEPSO VEPSOnds VEPSOml1 VEPSOml2

NS Ave. 76.590000 78.040000 86.920000 88.590000
SD 32.884891 26.684055 23.586368 23.600674
Min. 11.000000 22.000000 25.000000 16.000000
Max. 100.000000 100.000000 100.000000 100.000000

GD Ave. 0.338537 0.260666 0.217503 0.217929
SD 0.370336 0.158592 0.214344 0.263966
Min. 0.001746 0.044137 0.031135 0.000482
Max. 1.552521 0.709692 1.184075 1.316312

SP Ave. 1.201796 1.276529 1.301493 1.273612
SD 0.146782 0.083293 0.085611 0.186562
Min. 0.492064 0.987981 0.931549 0.082405
Max. 1.435395 1.437289 1.430321 1.439400

HV Ave. 0.304584 0.303381 0.303676 0.315964
SD 0.134813 0.102216 0.123985 0.121842
Min. 0.000000 0.038143 0.000779 0.000001
Max. 0.400964 0.400780 0.401403 0.401483