Research Article

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

Table 3

Results of the ABC algorithms on 100-dimensional functions for evaluations.

FunctionABCtlABC tlABC tlABC tlABC

Mean1.146230e − 049.116041e − 022.180088e − 034.035060e − 023.389584e − 04
Std. dev.5.378291e − 054.907924e − 011.138153e − 022.203417e − 015.815809e − 04

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−3.503712e + 04−3.512345e + 04−3.506332e + 04−3.549973e + 04−3.796363e + 04
Std. dev.4.481348e + 023.707149e + 024.999285e + 024.174149e + 024.526192e + 02

Mean1.067490e + 037.545328e + 021.527744e + 031.411030e + 031.081109e + 03
Std. dev.2.212599e + 031.943518e + 033.214016e + 032.806875e + 032.450082e + 03

Mean1.858181e + 011.721964e + 011.230956e + 011.666567e + 012.198629e + 01
Std. dev.9.809400e + 001.337142e + 011.112425e + 018.603978e + 001.381023e + 01

Mean8.070312e + 017.770167e + 017.960197e + 017.353233e + 012.657986e + 01
Std. dev.8.297471e + 009.088505e + 008.882800e + 001.341344e + 018.194344e + 00

Mean5.623082e − 034.471904e − 031.521697e − 031.226925e − 039.067452e − 04
Std. dev.6.444604e − 037.222166e − 032.774665e − 033.971804e − 032.929140e − 03

Mean3.506393e + 003.376353e + 003.409211e + 003.334140e + 006.163238e − 01
Std. dev.2.741636e − 013.715616e − 013.869801e − 012.544070e − 014.534197e − 01

Mean1.430508e − 067.407323e − 075.851995e − 077.236565e − 071.866245e − 06
Std. dev.1.666006e − 065.350666e − 074.549148e − 075.976208e − 075.738448e − 06