Research Article

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

Table 14

Results of the serial and parallel ABC algorithms for evaluations.

FunctionABCp-ABCtlABC p-tlABC

Mean1.826096e + 045.033667e + 048.409015e − 011.956916e + 04
Std. dev.8.633110e + 037.271991e + 033.655900e + 007.453569e + 03

Mean2.257667e + 045.040037e + 040.000000e + 001.969877e + 04
Std. dev.6.660677e + 038.124214e + 030.000000e + 006.797547e + 03

Mean−1.443385e + 05−1.402345e + 05−1.682593e + 05−1.488086e + 05
Std. dev.1.613792e + 031.521322e + 032.061252e + 032.732394e + 03

Mean7.253052e + 068.656352e + 092.262458e + 035.254016e + 09
Std. dev.3.938622e + 074.774166e + 092.536171e + 033.870297e + 09

Mean6.117529e + 021.029120e + 074.049498e + 026.014724e + 06
Std. dev.1.653580e + 024.945648e + 062.878103e + 023.192987e + 06

Mean1.501114e + 031.600520e + 038.280762e + 021.166655e + 03
Std. dev.4.089167e + 016.851913e + 015.907564e + 016.468204e + 01

Mean1.441019e + 024.398386e + 025.415552e − 021.930690e + 02
Std. dev.7.056074e + 017.253617e + 011.388155e − 018.685482e + 01

Mean1.328369e + 011.373531e + 017.759852e + 001.087339e + 01
Std. dev.2.809899e − 013.160843e − 015.969437e − 015.216135e − 01

Mean1.397777e − 051.322906e + 084.854342e − 067.925567e + 07
Std. dev.1.082536e − 058.511302e + 071.150941e − 066.522480e + 07