Table 8: Statistical results obtained by different algorithms through 10 independent runs for multimodal benchmark functions at .

FunELAPOLAPOSSAJayaIBB-BCODE1ALO

F12Mean8.8818E − 161.2518E − 121.6404E + 017.5892E + 001.8804E + 013.7259E + 006.8021E + 00
Std0.0000E + 001.9773E − 127.3335E + 006.3212E – 012.1140E − 019.9069E − 011.3361E + 00

F13Mean3.6083E − 992.2834E − 143.9731E + 005.3830E + 015.3426E + 014.6040E − 013.6655E + 01
Std5.4747E − 991.5184E − 141.0066E + 008.5028E + 008.0583E + 003.3718E − 011.1067E + 01

F14Mean1.7929E − 444.5968E − 064.1324E + 026.3538E + 027.7868E + 021.4752E + 026.0052E + 02
Std2.8722E − 442.6509E − 065.0767E + 014.8142E + 013.4226E + 012.1587E + 015.0591E + 01

F15Mean7.2183E + 004.0465E + 012.7036E + 014.6481E + 014.4956E + 014.5921E + 014.1953E + 01
Std8.8821E + 009.3027E − 011.9176E + 003.0431E – 018.6263E − 011.0532E + 002.1483E + 00

F16Mean4.7116E − 333.3016E − 039.3548E − 012.7447E + 053.2179E − 011.5236E + 022.2466E + 01
Std1.9082E − 489.8103E − 033.5109E − 014.6952E + 052.2593E − 012.5273E + 027.5516E + 00

F17Mean0.0000E + 000.0000E + 004.9065E − 011.4511E + 002.2854E + 003.9525E − 011.7248E − 01
Std0.0000E + 000.0000E + 006.1173E − 029.6738E – 023.8727E − 011.6189E − 013.8321E − 02

F18Mean2.4937E + 018.3464E + 012.9867E + 018.6792E + 019.2907E + 018.6137E + 016.7602E + 01
Std3.2165E + 013.3841E + 002.0862E + 001.0848E + 001.0617E + 009.8553E − 016.6475E + 00

F19Mean1.0585E + 051.6900E + 051.4604E + 076.4959E + 063.7560E + 074.1557E + 061.5224E + 05
Std4.1853E + 042.9643E + 024.0214E + 061.5787E + 061.4721E + 071.1991E + 061.1620E + 04

F20Mean7.3630E − 021.5070E + 004.4115E − 022.8379E + 002.9689E − 011.7898E − 013.3727E − 01
Std1.5569E − 013.5022E − 011.4144E − 024.1322E – 011.3280E − 015.3857E − 029.9795E − 02

F21Mean0.0000E + 000.0000E + 001.3590E + 029.3314E + 024.9346E + 027.0721E + 022.4664E + 02
Std0.0000E + 000.0000E + 001.1534E + 015.9504E + 014.5275E + 018.4180E + 015.1974E + 01

F22Mean0.0000E + 000.0000E + 009.0892E + 019.5631E + 025.4737E + 027.5311E + 024.1579E + 02
Std0.0000E + 000.0000E + 001.3962E + 016.2407E + 015.9740E + 014.7769E + 011.0978E + 02

F23Mean9.9873E − 029.9873E − 024.0825E + 001.2141E + 012.7545E + 014.1911E + 005.8799E + 00
Std7.7820E − 179.5023E − 094.1814E − 018.9201E – 011.7224E + 005.9174E − 018.4301E − 01

F24Mean0.0000E + 000.0000E + 001.5556E + 015.0470E + 011.2573E + 021.0650E + 018.9877E + 01
Std0.0000E + 000.0000E + 002.0040E + 003.8831E + 006.1093E + 001.7570E + 006.6157E + 00

F25Mean3.6192E + 034.5995E + 031.0766E + 043.5395E + 061.0381E + 046.5557E + 041.2502E + 04
Std8.1059E + 029.5869E − 132.6120E + 021.8511E + 062.2635E + 026.1928E + 046.4827E + 02