Research Article

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

Table 13

Results of the serial and parallel ABC algorithms for evaluations.

FunctionABCp-ABCtlABC p-tlABC

Mean3.910855e + 054.113880e + 051.511925e + 052.623364e + 05
Std. dev.2.250835e + 042.045026e + 043.217609e + 042.342807e + 04

Mean3.952807e + 054.063917e + 051.703726e + 052.542833e + 05
Std. dev.2.168618e + 042.252281e + 042.670481e + 041.531853e + 04

Mean−1.107573e + 05−1.060833e + 05−1.337285e + 05−1.153257e + 05
Std. dev.2.056823e + 031.688084e + 033.200059e + 032.056774e + 0

Mean1.313768e + 111.410091e + 112.129992e + 107.021863e + 10
Std. dev.1.563876e + 101.599200e + 101.582424e + 101.513810e + 10

Mean1.237054e + 081.292475e + 081.328077e + 076.451395e + 07
Std. dev.1.583419e + 071.709901e + 071.146906e + 071.386868e + 07

Mean3.729256e + 033.704902e + 032.616509e + 033.034230e + 03
Std. dev.8.960394e + 019.183761e + 011.120117e + 026.872550e + 01

Mean3.596772e + 033.673797e + 031.449607e + 032.258571e + 03
Std. dev.2.262908e + 021.946942e + 023.173375e + 021.513701e + 02

Mean1.892315e + 011.886268e + 011.719341e + 011.793002e + 01
Std. dev.8.614159e − 021.102155e − 013.049814e − 011.375368e − 01

Mean1.928259e + 092.055529e + 094.621482e + 078.822927e + 08
Std. dev.4.279168e + 083.681661e + 088.184589e + 072.899285e + 08