Research Article

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

Table 17

Average execution times for ABC algorithms for evaluations.

FunctionABCp-ABCtlABC p-tlABC

Mean1.4776440.8664101.0872810.798863
Std. dev.5.720402e − 034.747840e − 023.302129e − 024.743118e − 02

Mean3.6076761.1261802.9653521.053342
Std. dev.6.229590e − 025.275899e − 028.757225e − 024.813870e − 02

Mean8.1628892.3654287.1802232.267182
Std. dev.4.064324e − 012.225126e − 011.890232e − 029.763186e − 02

Mean2.7578620.9748412.4376730.923312
Std. dev.8.168550e − 024.322536e − 022.583628e − 025.258972e − 02

Mean5.1647121.5509284.1498771.576741
Std. dev.3.076150e − 016.867118e − 021.758990e − 019.186976e − 02

Mean6.9259591.8720746.6456612.070032
Std. dev.2.244740e − 018.358303e − 027.833041e − 021.565193e − 01

Mean14.8509985.08842614.1556565.085120
Std. dev.6.641737e − 026.383821e − 011.274310e − 015.982128e − 01

Mean8.2944802.5379918.2702962.664046
Std. dev.4.934985e − 011.996940e − 013.219023e − 023.379277e − 01

Mean19.3387067.72358418.4181617.223549
Std. dev.2.137728e − 011.025024e + 001.667562e − 011.167932e + 00