Research Article

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

Table 4

Results of the ABC algorithms on 500-dimensional functions for evaluations.

FunctionABCtlABC tlABC tlABC tlABC

Mean4.130324e + 054.081565e + 054.092916e + 054.148888e + 051.765257e + 05
Std. dev.2.657309e + 042.109512e + 043.163729e + 041.841777e + 043.476805e + 04

Mean4.141206e + 054.055300e + 054.100318e + 054.141699e + 051.751431e + 05
Std. dev.2.113762e + 041.980737e + 042.557841e + 042.526127e + 043.221499e + 04

Mean−1.095819e + 05−1.104961e + 05−1.115083e + 05−1.255785e + 05−1.331409e + 05
Std. dev.3.301774e + 032.736786e + 033.422581e + 034.460019e + 034.342221e + 03

Mean1.476707e + 111.438909e + 111.423152e + 111.357231e + 112.494721e + 10
Std. dev.1.758631e + 101.986122e + 102.000721e + 101.653048e + 101.555079e + 10

Mean1.312933e + 081.228235e + 081.297045e + 081.320696e + 082.468820e + 07
Std. dev.2.000876e + 072.804387e + 072.248323e + 071.988607e + 072.104472e + 07

Mean3.782787e + 033.779277e + 033.752828e + 033.806080e + 032.648505e + 03
Std. dev.8.469962e + 017.757594e + 018.311950e + 011.159574e + 021.674382e + 02

Mean3.716680e + 033.699020e + 033.720641e + 033.756675e + 031.685117e + 03
Std. dev.2.821720e + 022.246426e + 021.920369e + 022.167446e + 023.289570e + 02

Mean1.898080e + 011.899767e + 011.896413e + 011.898831e + 011.741548e + 01
Std. dev.1.015718e − 019.901172e − 029.528671e − 021.041574e − 013.073344e − 01

Mean2.220318e + 092.213338e + 092.164662e + 091.934285e + 092.277159e + 08
Std. dev.3.493875e + 083.934482e + 084.189587e + 083.976640e + 082.436363e + 08