Research Article

Improving Vector Evaluated Particle Swarm Optimisation Using Multiple Nondominated Leaders

Table 7

Performance comparison based on ZDT1 test problem.

Measure AbYSS NSGA-II SPEA2 SMPSO VEPSOml2

NS Ave. 100.000000 100.000000 100.000000 100.000000 98.820000
SD 0.000000 0.000000 0.000000 0.000000 6.979595
Min. 100.000000 100.000000 100.000000 100.000000 47.000000
Max. 100.000000 100.000000 100.000000 100.000000 100.000000

GD Ave. 0.000185 0.000223 0.000220 0.000117 0.000497
SD 0.000035 0.000038 0.000028 0.000031 0.002213
Min. 0.000125 0.000146 0.000154 0.000053 0.000047
Max. 0.000343 0.000374 0.000400 0.000172 0.015598

SP Ave. 0.105387 0.379129 0.148572 0.076608 0.182157
SD 0.012509 0.028973 0.012461 0.009200 0.113453
Min. 0.080690 0.282485 0.116765 0.056009 0.109998
Max. 0.136747 0.441002 0.174986 0.099653 0.779572

HV Ave. 0.661366 0.659333 0.659999 0.661801 0.657830
SD 0.000269 0.000301 0.000301 0.000100 0.023359
Min. 0.660267 0.658486 0.659347 0.661372 0.456556
Max. 0.661724 0.659909 0.660629 0.661991 0.662022