Research Article

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

Table 6

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

FunctionABCtlABC tlABC tlABC tlABC

Mean6.006217e − 418.496777e − 419.881287e − 411.697022e − 403.256242e − 40
Std. dev.5.222464e − 419.237328e − 411.105303e − 401.463845e − 408.193515e − 40

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−4.199726e + 04−4.199730e + 04−4.199732e + 04−4.199728e + 04−4.199764e + 04
Std. dev.2.138699e − 012.477997e − 012.188478e − 012.229595e − 011.039474e − 01

Mean5.656192e − 014.949343e − 013.653176e − 015.381103e − 016.761292e − 01
Std. dev.1.648632e + 009.822533e − 016.077069e − 011.052070e + 001.032075e + 00

Mean3.390834e − 061.040101e − 062.820931e − 079.399521e − 081.349680e − 07
Std. dev.2.712035e − 061.051293e − 062.901874e − 071.104350e − 072.506659e − 07

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

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

Mean4.056015e − 144.056015e − 144.138911e − 144.174439e − 144.778400e − 14
Std. dev.1.346651e − 151.638272e − 151.770219e − 151.806722e − 153.285392e − 15

Mean4.711634e − 334.711634e − 334.711634e − 334.711634e − 334.711634e − 33
Std. dev.2.783699e − 482.783699e − 482.783699e − 482.783699e − 482.783699e − 48