Research Article

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

Table 7

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

FunctionABCtlABC tlABC tlABC tlABC

Mean1.290605e − 061.799212e − 071.883553e − 071.104870e − 079.142393e − 07
Std. dev.2.802508e − 061.406763e − 071.233807e − 071.051293e − 071.875214e − 06

Mean0.000000e + 000.000000e + 000.000000e + 000.000000e + 000.000000e + 00
Std. dev.0.000000e + 000.000000e + 000.000000e + 000.000000e + 000.000000e + 00

Mean−1.887655e + 05−1.887683e + 05−1.889353e + 05−1.895722e + 05−1.988947e + 05
Std. dev.7.730400e + 021.064341e + 037.961808e + 027.173520e + 021.389004e + 03

Mean9.185335e + 026.244401e + 021.233145e + 036.366118e + 021.144464e + 03
Std. dev.1.156629e + 031.692910e + 022.355193e + 032.280679e + 021.706124e + 03

Mean2.721353e + 022.431451e + 022.402067e + 022.651948e + 022.567815e + 02
Std. dev.9.054174e + 019.960557e + 018.497216e + 018.850773e + 011.086047e + 02

Mean1.390284e + 021.379240e + 021.413926e + 021.390184e + 024.883904e + 01
Std. dev.1.311659e + 011.110394e + 019.133143e + 001.336659e + 011.224055e + 01

Mean5.312618e − 069.069779e − 071.961672e − 083.092865e − 089.607941e − 08
Std. dev.1.306894e − 057.826006e − 072.556943e − 081.478953e − 075.036284e − 07

Mean3.834920e − 013.648266e − 013.758358e − 013.522330e − 013.186149e − 03
Std. dev.9.247263e − 029.051693e − 029.648746e − 028.698696e − 022.611740e − 03

Mean7.184301e − 091.678214e − 096.241791e − 103.871350e − 106.344426e − 10
Std. dev.2.688062e − 095.872811e − 096.111414e − 105.460230e − 101.619332e − 09