Table 13: Statistical results for multimodal benchmark functions of different ELAPO ().

FunctionAlgorithmMin.MeanMax.Std

F12ELAPO8.8818E − 168.8818E − 168.8818E − 160.0000E + 00
ELAPO18.8818E − 168.8818E − 168.8818E − 160.0000E + 00
ELAPO28.8818E − 168.8818E − 168.8818E − 160.0000E + 00

F13ELAPO7.4429E − 1076.1910E − 1025.5536E − 1011.7386E − 101
ELAPO11.4046E − 1008.2536E − 1001.6045E − 994.1699E − 100
ELAPO23.4320E − 193.5435E − 041.9397E − 036.1675E − 04

F14ELAPO7.0864E − 501.4029E − 485.2017E − 481.7605E − 48
ELAPO15.9353E − 471.4937E − 462.8483E − 466.9910E − 47
ELAPO22.1593E − 104.4564E − 107.7516E − 101.7974E − 10

F15ELAPO9.0744E − 011.4563E + 002.0765E + 004.3965E − 01
ELAPO18.3340E + 009.5357E + 001.0784E + 018.6499E − 01
ELAPO23.3712E − 012.5937E + 001.0258E + 013.4500E + 00

F16ELAPO1.5705E − 328.4188E − 254.2955E − 241.5385E − 24
ELAPO11.5184E − 177.2242E − 172.2432E − 166.2807E − 17
ELAPO21.5705E − 327.6947E − 057.6947E − 042.4333E − 04

F17ELAPO0.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO10.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO20.0000E + 003.2209E − 021.0586E − 014.3686E − 02

F18ELAPO2.9000E + 012.9000E + 012.9000E + 010.0000E + 00
ELAPO12.9000E + 012.9000E + 012.9000E + 010.0000E + 00
ELAPO2−2.4010E + 01−2.0005E + 01−9.7242E + 005.3079E + 00

F19ELAPO−4.9123E + 034.8710E + 034.8355E + 032.4102E + 01
ELAPO1−4.9107E + 03−4.7477E + 03−4.3972E + 031.6214E + 02
ELAPO24.9239E + 03−4.8603E + 03−4.7473E + 035.2864E + 01

F20ELAPO7.1841E − 052.0743E − 036.5185E − 032.6236E − 03
ELAPO11.6150E − 031.5982E − 024.3113E − 021.2385E − 02
ELAPO21.1119E − 043.4940E − 031.2353E − 024.8505E − 03

F21ELAPO0.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO10.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO20.0000E + 000.0000E + 000.0000E + 000.0000E + 00

F22ELAPO0.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO10.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO20.0000E + 000.0000E + 000.0000E + 000.0000E + 00

F23ELAPO5.8304E − 907.9899E − 029.9873E − 024.2110E − 02
ELAPO13.3769E − 858.9886E − 029.9873E − 023.1583E − 02
ELAPO29.9873E − 029.9873E − 029.9873E − 025.2771E − 13

F24ELAPO0.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO10.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO20.0000E + 000.0000E + 000.0000E + 000.0000E + 00

F25ELAPO3.0957E + 023.4556E + 023.9799E + 023.3722E + 01
ELAPO13.8740E + 024.0865E + 024.1395E + 021.1183E + 01
ELAPO24.0677E + 007.4112E + 012.4969E + 027.3468E + 01