Research Article

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

Table 6

Statistical results obtained by different algorithms through 10 independent runs for unimodal benchmark functions at .

FunctionELAPOLAPOSSAJayaIBB-BCODE1ALO

F1Mean5.2007E − 1931.3425E − 221.6628E + 016.9384E + 021.8003E + 031.8499E + 011.1049E + 02
Std0.0000E + 002.7548E − 223.1328E + 001.5143E + 021.1134E + 031.2793E + 013.4927E + 01

F2Mean6.6667E − 016.6667E − 019.3976E + 011.7780E + 045.8507E + 012.4492E + 026.5552E + 01
Std1.1703E − 163.1465E − 071.8308E + 019.2943E + 035.5585E + 011.0120E + 021.6325E + 01

F3Mean0.0000E + 000.0000E + 002.1775E − 038.7150E − 021.0000E + 003.7746E − 031.7589E − 06
Std0.0000E + 000.0000E + 004.0246E − 041.9928E − 021.4447E − 064.3774E − 037.2246E − 07

F4Mean3.5068E − 1747.6209E − 185.7986E + 043.3097E + 066.4465E + 071.1275E + 053.7806E + 07
Std0.0000E + 001.4480E − 171.0700E + 041.8257E + 061.8345E + 071.3526E + 051.0211E + 07

F5Mean6.9030E − 055.0481E − 041.7809E + 003.7596E + 001.1013E − 013.4775E − 016.9402E − 01
Std1.2101E − 043.4086E − 042.8494E − 011.2333E + 003.0997E − 021.6561E − 018.1848E − 02

F6Mean7.8513E + 019.4177E + 011.7444E + 031.1493E + 067.2389E + 022.3396E + 041.4132E + 03
Std1.6552E + 008.9340E − 015.2182E + 024.4284E + 054.8630E + 022.7369E + 041.2610E + 03

F7Mean1.1968E − 1826.3973E − 201.8395E + 036.3193E + 041.3746E + 052.9564E + 031.2062E + 04
Std0.0000E + 001.2555E − 193.3413E + 021.2607E + 047.9074E + 042.1890E + 033.5187E + 03

F8Mean4.0687E − 781.5876E − 105.6812E + 015.0409E + 015.3766E + 012.4541E + 012.7036E + 01
Std3.8556E − 788.3377E − 113.3342E + 004.5067E + 004.7994E + 004.2786E + 003.7373E + 00

F9Mean1.7153E − 976.0151E − 133.7898E + 004.0015E + 012.2845E + 022.5136E + 002.5022E + 02
Std2.6804E − 977.2192E − 133.3142E − 019.5389E + 002.4337E + 011.1042E + 001.8829E + 02

F10Mean2.1712E − 1851.0305E − 214.5309E + 012.0729E + 031.5794E + 031.5935E + 027.2968E − 01
Std0.0000E + 001.3847E − 218.5410E + 005.9716E + 021.4768E + 032.6888E + 023.5403E − 01

F11Mean0.0000E + 006.1091E − 1034.7120E − 292.4029E − 078.6095E − 081.6291E − 101.5573E − 07
Std0.0000E + 001.6435E − 1021.1490E − 283.3712E − 075.7812E − 085.1012E − 101.0685E − 07