Research Article

An Enhanced Lightning Attachment Procedure Optimization with Quasi-Opposition-Based Learning and Dimensional Search Strategies

Table 11

Statistical results for unimodal benchmark functions of different ELAPO ().

FunctionAlgorithmMin.MeanMax.Std

F1ELAPO4.3947E − 2077.5637E − 2007.5041E − 1990.0000E + 00
ELAPO11.0983E − 1962.0585E − 1921.1337E − 1910.0000E + 00
ELAPO21.3264E − 459.8461E − 454.1225E − 441.2223E − 44

F2ELAPO6.6667E − 016.6667E − 016.6667E − 011.1703E − 16
ELAPO16.6667E − 016.6667E − 016.6667E − 019.7912E − 17
ELAPO26.6667E − 016.6667E − 016.6667E − 015.5299E − 14

F3ELAPO1.0000E + 001.0000E + 001.0000E + 000.0000E + 00
ELAPO11.0000E + 001.0000E + 001.0000E + 000.0000E + 00
ELAPO21.0000E + 001.0000E + 001.0000E + 000.0000E + 00

F4ELAPO1.0516E − 1861.8129E − 1801.0021E − 1790.0000E + 00
ELAPO13.4388E − 1841.3329E − 1786.4548E − 1780.0000E + 00
ELAPO21.5771E − 421.5959E − 291.5959E − 285.0466E − 29

F5ELAPO1.4582E − 058.6010E − 052.4099E − 048.9264E − 05
ELAPO12.9369E − 051.8099E − 045.7794E − 041.6862E − 04
ELAPO21.1022E − 042.5442E − 046.2774E − 041.5210E − 04

F6ELAPO8.4106E − 011.8767E + 003.5521E + 008.1532E − 01
ELAPO19.7267E + 001.2179E + 011.3300E + 011.0108E + 00
ELAPO23.4946E − 022.7249E + 004.7309E + 001.5030E + 00

F7ELAPO3.3224E − 1932.5280E − 1881.9516E − 1870.0000E + 00
ELAPO11.8360E − 1871.6201E − 1849.7195E − 1840.0000E + 00
ELAPO22.7107E − 423.5402E − 411.3260E − 403.8879E − 41

F8ELAPO2.1127E − 845.2137E − 832.6909E − 828.6122E − 83
ELAPO11.1547E − 832.3096E − 811.0418E − 803.6979E − 81
ELAPO22.2641E − 154.7375E − 157.9828E − 152.0046E − 15

F9ELAPO1.1064E − 1063.6582E − 1041.8075E − 1035.3056E − 104
ELAPO16.8578E − 1001.1707E − 984.2746E − 981.3897E − 98
ELAPO21.8562E − 234.1160E − 231.2816E − 223.2696E − 23

F10ELAPO5.7179E − 2008.1828E − 1955.1517E − 1940.0000E + 00
ELAPO11.4263E − 1909.8501E − 1869.8128E − 1850.0000E + 00
ELAPO23.7860E − 451.1357E − 434.8673E − 431.4768E − 43

F11ELAPO0.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO10.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO25.5187E − 1111.5603E − 1077.9877E − 1072.6781E − 107