Research Article

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

Table 12

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

FunctionAlgorithmMin.MeanMax.Std

F1ELAPO1.2060E − 2015.2007E − 1934.8628E − 1920.0000E + 00
ELAPO19.1470E − 1881.2551E − 1858.4746E − 1850.0000E + 00
ELAPO21.3352E − 427.5917E − 415.2215E − 401.5892E − 40

F2ELAPO6.6667E − 016.6667E − 016.6667E − 011.1703E − 16
ELAPO16.6667E − 016.6667E − 016.6667E − 014.6472E − 08
ELAPO26.6667E − 016.6667E − 016.6667E − 011.1703E − 16

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

F4ELAPO2.5939E − 1793.5068E − 1742.9799E − 1730.0000E + 00
ELAPO12.2028E − 1762.5228E − 1712.4291E − 1700.0000E + 00
ELAPO22.3879E − 382.6197E − 252.6197E − 248.2841E − 25

F5ELAPO1.6572E − 066.9030E − 054.1043E − 041.2101E − 04
ELAPO14.9616E − 051.3763E − 042.8369E − 048.4291E − 05
ELAPO29.1224E − 052.5213E − 045.0008E − 041.3659E − 04

F6ELAPO7.5408E + 017.8513E + 018.1196E + 011.6552E + 00
ELAPO19.2775E + 019.3408E + 019.4160E + 014.6870E − 01
ELAPO22.5737E − 038.2837E + 011.8433E + 024.3749E + 01

F7ELAPO5.8216E − 1871.1968E − 1828.1321E − 1820.0000E + 00
ELAPO13.1789E − 1812.5647E − 1789.2747E − 1780.0000E + 00
ELAPO22.7609E − 392.9492E − 362.7378E − 358.5881E − 36

F8ELAPO1.2973E − 794.0687E − 781.3134E − 773.8556E − 78
ELAPO19.2722E − 805.4812E − 782.3545E − 777.5349E − 78
ELAPO21.1764E − 126.5701E − 122.2367E − 116.4475E − 12

F9ELAPO5.4476E − 1001.7153E − 978.1258E − 972.6804E − 97
ELAPO12.1502E − 971.1376E − 947.0599E − 942.1352E − 94
ELAPO21.4540E − 221.1495E − 212.7186E − 219.4578E − 22

F10ELAPO4.8377E − 1922.1712E − 1851.6637E − 1840.0000E + 00
ELAPO11.7640E − 1811.7228E − 1787.7291E − 1780.0000E + 00
ELAPO27.6665E − 422.0437E − 401.2371E − 393.8039E − 40

F11ELAPO0.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO10.0000E + 000.0000E + 000.0000E + 000.0000E + 00
ELAPO26.2316E − 1112.4731E − 1051.4424E − 1044.8050E − 105