SMCB-E-08102005-0551.R2 12 03 08 06 02 02040.6 0.8 06 04 0.2 120 00 Fig.5.The effects of AS and CS on R of OEA Fig.6.The effect of Maxos on Ras of F02,F05,G11,and G13 TABLEI THE EXPERIMENTAL RESULTS OF OEA ON 15 UNCONSTRAINED BENCHMARK FUNCTIONS OVER 50 TRIALS fmin Best FV Mean FV St.dev. Worst FV Mean Time (s) Mean NFE F01 0 4.549×1039 2.481×1030 1.128×10-29 7.364×10-29 0.680 300017 F02 0 2.428x1022 2.068×10-13 1.440×10-12 1.019×10-11 0.763 300014 F03 0 1.991×1011 1.883×10-9 3.726×109 2.480×10-8 1.436 300016 F04 0 4.732×10-2 8.821×10-2 2.356×102 1.615×101 0.699 300018 F05 0 3.231×10-4 0.227 0.941 5.501 0.776 300016 F06 0 0 0 0 0 0.784 300017 F07 0 1.757×10-3 3.297×10-3 1.096×103 7.806×103 0.767 300016 F08 -12569.5 -12569.4866 -12569.4866 5.555x1012 -12569.4866 1.294 300019 F09 0 0 5.430×1017 1.683×10-16 1.044x1015 1.247 300019 F10 0 4.775×10-15 5.336×10-14 2.945×10-13 2.088×10-12 1.334 300018 F11 0 0 1.317×10-2 1.561×10-2 6.877×102 1.464 300020 F12 0 3.537×1032 9.207×1030 6.436x10-31 4.552x10-30 2.053 300019 F13 0 1.060x10-31 4.323×1019 2.219×10-18 1.376×10-17 1.787 300015 F14 -99.60 99.5643815 99.5024042 2.526×102 99.4393027 6.570 300017 F15 78.33236 .78.3323314 78.3323314 2.804×10-11 78.3323314 1.785 300018 TABLEⅢI THE COMPARISON BETWEEN OEA AND OGA/QOVER 50 TRIALS Mean FV St.dev Mean Time (s) Mean NFE OEA OGA/O OEA OGA/Q OEA OGAO OEA OGA/O F05 0 0.227 8.100 0.941 2.534 0.776 1.009 300016 300064 F08 -12569.5 12569.4866 .12567.7731 5.555×10-12 1.058 1.294 1.503 300019 300045 F12 0 9.207×10-30 2.079×10-8 6.436x×10-31 1.056x10-8 2.053 2.294 300019 300065 F13 o 4.323x10-19 4.251×10-6 2.219x10-18 2.44x10-6 1.787 2.076 300015 300050 F14 -99.60 99.5024042 -93.4804189 2.526×102 8.461×10- 6.570 7.133 300017 300057 F15 .78.33236 78.3323314 78.3315999 2.804×10-11 5.667×104 1.785 2.334 300018 300054SMCB-E-08102005-0551.R2 11 Fig. 5. The effects of AS and CS on Ras of OEA Fig.6. The effect of MaxOS on Ras of F02, F05, G11, and G13 TABLE I THE EXPERIMENTAL RESULTS OF OEA ON 15 UNCONSTRAINED BENCHMARK FUNCTIONS OVER 50 TRIALS TABLE III THE COMPARISON BETWEEN OEA AND OGA/Q OVER 50 TRIALS