Research Article

Multiobjective Optimization Using Cross-Entropy Approach

Table 3

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

Algorithm SCH FON POL KUR ZDT1 ZDT2 ZDT3 ZDT4 ZDT6

CE method with RES 1.130705 0.427151 0.984515 0.630363 0.867578 0.754868 0.733369 0.736887 0.767926
CE method with FCM 0.2504 0.0921 0.1777 0.1686 0.5697 1.0459
NSGA-II 0.477899 0.378065 0.452150 0.411477 0.390307 0.430776 0.738540 0.702612 0.668025
Real coded 0.003471 0.000639 0.002868 0.000992 0.001876 0.004721 0.019706 0.064648 0.009923
NSGA-II 0.449265 0.395131 0.503721 0.442195 0.463292 0.435112 0.575606 0.479475 0.644477
Binary coded 0.002062 0.001314 0.004656 0.001498 0.041622 0.024607 0.005078 0.009841 0.035042
SPEA 1.021110 0.792352 0.972783 0.852990 0.784525 0.755148 0.672938 0.798463 0.849389
0.004372 0.005546 0.008475 0.002619 0.004440 0.004521 0.003587 0.014616 0.002713
PEAS 1.063288 1.162528 1.020007 1.079838 1.229794 1.165942 0.789920 0.870458 1.153052
0.002868 0.008945 0 0.013772 0.004839 0.007682 0.001653 0.101399 0.003916