Research Article

Improved Monarch Butterfly Optimization Algorithm Based on Opposition-Based Learning and Random Local Perturbation

Table 5

The comparison results of the three algorithms on the 100-dimensional benchmark functions.

FunctionAlgorithmBestWorstMeanStd

MBO2.9655e-04873.4768483.6526327.2392
GCMBO1.6826e-11200.098510.028840.1674
OPMBO1.4014e-08138.61324.878425.2979

MBO0.00821.8812e+03942.8625653.6147
GCMBO4.6673e-05552.4148139.0795154.2869
OPMBO2.7599e-23301.383515.254059.7389

MBO326.45448.2019e+053.6314e+051.7811e+05
GCMBO4.5214e+032.4929e+051.1272e+056.3874e+04
OPMBO3.8963e-081.4750e+059.4295e+032.8488e+04

MBO2.389190.985338.918125.9349
GCMBO0.749490.900040.204827.9953
OPMBO1.0715e-0533.53967.83649.4976

MBO0.0807484.7000266.4036175.1478
GCMBO5.0299e-07250.546956.172371.6008
OPMBO5.4517e-052.26680.07600.4138

MBO4332880701.7473e+051.0058e+05
GCMBO01066661.7420e+042.8532e+04
OPMBO030.10000.5477

ā€‰MBO0.16324.2320e+041.3569e+041.4322e+04
GCMBO1.0042e-088.8990e+031.0016e+032.0665e+03
OPMBO1.9180e-056.8818e+03432.45941.2535e+03

MBO4.5486e-112.9628e+098.5431e+081.1962e+09
GCMBO1.1964e-193.6385e+084.6229e+079.5275e+07
OPMBO8.3732e-135.9931e-122.9010e-121.4209e-12

MBO0.92375.0861e+091.4982e+091.7699e+09
GCMBO3.2011e-159.8268e+081.3463e+082.7277e+08
OPMBO9.2390e-120.40560.01350.0741

MBO3.790720.822718.64993.9959
GCMBO5.7380e-0719.91868.63139.1342
OPMBO4.5998e-051.03440.03930.1897

MBO8.2058e+033.6580e+042.3230e+048.9660e+03
GCMBO0.00131.8954e+049.3635e+035.8928e+03
OPMBO0.00133.1905e+046.5790e+031.0764e+04

MBO262.64231.8211e+031.4277e+03422.1270
GCMBO7.4610e-09670.2994113.0140155.9463
OPMBO2.1383e-06665.687157.3632152.5890