Research Article

Multiobjective Optimization Using Cross-Entropy Approach

Table 2

Mean (first row) and variance (second row) of the convergence metric .

Algorithm SCH FON POL KUR ZDT1 ZDT2 ZDT3 ZDT4 ZDT6

CE method with RES 0.000140 0.002704 0.057898 0.162699 0.001282 0.005001 0.003321 0.002771 0.009426
0 0.000005 0.005125 0.011727 0 0 0.000007 0.000007 0.000001
CE method with FCM 0.0026 0.0434 0.1002 0.0245 1.2056 0.0029
NSGA-II 0.003391 0.001931 0.015553 0.028964 0.033482 0.072391 0.114500 0.513053 0.296564
Real coded 0 0 0.000001 0.000018 0.004750 0.031689 0.007940 0.118460 0.013135
NSGA-II 0.002833 0.002571 0.017029 0.028951 0.000894 0.000824 0.043411 3.227636 7.806798
Binary coded 0.000001 0 0.000003 0.000016 0 0 0.000042 7.307630 0.001667
SPEA 0.003403 0.125692 0.037812 0.045617 0.001799 0.001339 0.047517 7.340299 0.221138
0 0.000038 0.000088 0.00005 0.000001 0 0.000047 6.572516 0.000449
PEAS 0.001313 0.151263 0.030864 0.082085 0.126276 0.023872 0.023872 0.854816 0.085469
0.000003 0.000905 0.000431 0.011989 0.008679 0.036877 0.000001 0.527238 0.006664