Research Article

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

Table 5

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

FunctionELAPOLAPOSSAJayaIBB-BCODE1ALO

F1Mean7.5637E − 2005.6012E − 271.1428E − 072.2752E − 031.3687E − 021.0558E − 104.4514E − 01
Std0.0000E + 008.4361E − 274.8364E − 088.0246E − 041.5007E − 023.2551E − 107.8851E − 01

F2Mean6.6667E − 016.6667E − 019.4666E − 011.5883E + 001.9627E + 008.2956E − 011.9322E + 00
Std1.1703E − 162.6825E − 159.0549E − 011.4893E + 003.0291E + 003.4162E − 011.6808E + 00

F3Mean0.0000E + 000.0000E + 004.8854E − 111.0043E − 069.5870E − 010.0000E + 001.1247E − 11
Std0.0000E + 000.0000E + 002.4693E − 113.2914E − 071.6557E − 026.3238E − 165.3013E − 12

F4Mean1.8129E − 1803.6621E − 221.4830E − 031.5201E + 013.1383E + 064.6192E − 082.4627E + 06
Std0.0000E + 009.1437E − 221.3430E − 035.5752E + 001.5412E + 069.0067E − 081.2642E + 06

F5Mean8.6010E − 053.3511E − 041.4931E − 016.6240E − 021.1173E − 024.5462E − 025.6409E − 02
Std8.9264E − 052.3261E − 044.1331E − 028.9128E − 031.7186E − 031.1837E − 022.0886E − 02

F6Mean1.8767E + 001.3696E + 016.0642E + 019.2536E + 011.6858E + 025.2937E + 011.6217E + 02
Std8.1532E − 019.9927E − 013.5585E + 014.5618E + 012.2938E + 022.9763E + 011.6493E + 02

F7Mean2.5280E − 1881.3524E − 259.7179E − 062.7516E − 017.1328E − 015.3976E − 101.7832E + 01
Std0.0000E + 001.3883E − 255.6762E − 061.1147E − 019.4554E − 011.2392E − 092.0860E + 01

F8Mean5.2137E − 838.3427E − 132.6260E + 006.9426E + 001.6891E − 017.1509E + 008.1078E + 00
Std8.6122E − 835.5630E − 136.1185E − 013.4493E + 001.3435E − 013.2087E + 002.2939E + 00

F9Mean3.6582E − 1046.5210E − 151.9378E − 047.0569E − 025.0370E − 027.7739E − 073.4909E + 01
Std5.3056E − 1041.4104E − 145.6284E − 052.2004E − 022.9201E − 023.0011E − 074.8480E + 01

F10Mean8.1828E − 1955.8616E − 271.0567E − 061.9651E − 023.5197E − 041.5345E − 116.6424E − 07
Std0.0000E + 008.6367E − 278.7349E − 076.2693E − 031.4587E − 041.5332E − 115.6633E − 07

F11Mean0.0000E + 001.4564E − 1031.3567E − 413.4416E − 136.3934E − 089.7599E − 131.3755E − 07
Std0.0000E + 003.7807E − 1033.3385E − 417.5948E − 136.9210E − 082.3650E − 129.0853E − 08