Table 7: Statistical results obtained by different algorithms through 10 independent runs for multimodal benchmark functions at .

FunELAPOLAPOSSAJayaIBB-BCODE1ALO

F12Mean8.8818E − 162.8955E − 149.2571E − 049.1487E − 021.7601E + 012.5302E − 051.6649E + 00
Std0.0000E + 002.4640E − 149.2067E − 047.7490E − 026.9501E − 017.7013E − 057.7554E − 01

F13Mean6.1910E − 1022.2608E − 161.1359E − 041.8262E + 015.4072E − 025.6933E − 045.2074E + 00
Std1.7386E − 1011.6391E − 165.9272E − 058.6301E + 004.1391E − 021.2644E − 033.1551E + 00

F14Mean1.4029E − 484.0494E − 073.4234E + 005.1721E + 011.1805E + 026.8554E − 011.3231E + 02
Std1.7605E − 482.6617E − 079.0812E − 019.8384E + 001.7959E + 011.7645E − 012.0228E + 01

F15Mean1.4563E + 009.4103E + 009.0346E − 011.2447E + 011.2934E + 011.2364E + 011.2030E + 01
Std4.3965E − 015.3815E − 013.2252E − 012.9666E − 015.3194E − 012.5704E − 017.5729E − 01

F16Mean8.4188E − 251.0367E − 022.2266E − 094.1310E + 004.1888E − 024.2953E − 029.0097E + 00
Std1.5385E − 243.2783E − 021.5417E − 091.6123E + 005.4071E − 025.2502E − 023.2448E + 00

F17Mean0.0000E + 007.3960E − 042.2384E − 022.9603E − 015.1123E − 025.4206E − 031.0343E − 02
Std0.0000E + 002.3388E − 031.3974E − 022.2107E − 016.7979E − 026.1229E − 031.0090E − 02

F18Mean0.0000E + 001.6903E + 015.7452E + 002.1310E + 012.5789E + 012.0659E + 011.8115E + 01
Std0.0000E + 006.2598E + 001.6003E + 008.2816E − 014.4569E − 018.8290E − 012.5728E + 00

F19Mean5.8977E + 012.5151E + 024.5305E + 031.7584E + 036.3780E + 033.0747E + 035.5289E + 02
Std2.4102E + 011.0785E + 023.6141E + 032.6629E + 036.1551E + 031.1640E + 031.7077E + 02

F20Mean2.0743E − 031.5861E − 023.1866E − 047.3750E − 023.3350E − 033.9377E − 038.3297E − 03
Std2.6236E − 031.5529E − 023.6113E − 042.9955E − 021.3663E − 032.3799E − 034.6551E − 03

F21Mean0.0000E + 000.0000E + 008.1814E − 062.2150E + 025.3244E + 011.5228E + 027.8900E + 01
Std0.0000E + 000.0000E + 001.2639E − 052.0149E + 011.7451E + 012.5607E + 012.5535E + 01

F22Mean0.0000E + 001.2264E + 011.6897E − 012.0120E + 024.6472E + 011.1726E + 028.5910E + 01
Std0.0000E + 002.5856E + 012.7200E − 011.4093E + 011.2995E + 014.0305E + 015.0467E + 01

F23Mean7.9899E − 029.9873E − 027.1987E − 011.1289E + 001.2306E + 002.1167E − 016.0987E − 01
Std4.2110E − 029.2544E − 096.3246E − 027.3969E − 022.7575E − 013.1132E − 027.3786E − 02

F24Mean0.0000E + 000.0000E + 002.0537E − 021.6488E + 001.4966E + 011.8835E − 021.7219E + 01
Std0.0000E + 000.0000E + 008.4213E − 037.2301E − 014.3592E + 003.8947E − 023.2418E + 00

F25Mean3.4556E + 026.2050E + 023.6018E + 028.1492E + 028.1624E + 027.6337E + 027.3879E + 02
Std3.3722E + 011.4539E + 021.1172E + 021.9261E + 012.0303E + 015.3897E + 013.2218E + 01