Research Article

A Transition Control Mechanism for Artificial Bee Colony (ABC) Algorithm

Table 18

Average execution times for ABC algorithms for evaluations.

FunctionABCp-ABCtlABC p-tlABC

Mean3.7506972.2379232.7362642.046743
Std. dev.1.452007e − 021.226359e − 018.310174e − 021.215219e − 01

Mean9.2569722.9159097.8931012.871335
Std. dev.1.598457e − 011.366038e − 012.330977e − 011.312227e − 01

Mean21.0252696.37449619.8747676.265583
Std. dev.1.046854e + 005.996401e − 015.232140e − 022.698154e − 01

Mean7.5789332.5138166.2037052.477468
Std. dev.2.244815e − 011.114650e − 016.575150e − 021.411108e − 01

Mean12.9763744.10787611.4834844.201704
Std. dev.7.728847e − 011.818864e − 014.867455e − 012.448148e − 01

Mean17.7306525.09442716.9615265.453327
Std. dev.5.746598e − 012.274524e − 011.999204e − 014.123372e − 01

Mean39.30671213.10185136.68670113.032504
Std. dev.1.757894e − 011.643728e + 003.302583e − 011.533142e + 00

Mean22.3546186.57163421.3598917.268796
Std. dev.1.330038e + 005.170688e − 018.313849e − 029.220289e − 01

Mean53.01762948.47719349.38700619.334184
Std. dev.5.860643e − 014.389076e − 012.572918e + 003.126027e + 00