Research Article

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

Table 2

Results of the ABC algorithms on 10-dimensional functions for evaluations.

FunctionABCtlABC tlABC tlABC tlABC

Mean5.693663e − 452.953714e − 456.269275e − 456.530371e − 453.273292e − 42
Std. dev.8.439450e − 455.063626e − 459.249126e − 459.447314e − 459.106988e − 42

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−4.199780e + 03−4.199780e + 03−4.199780e + 03−4.199780e + 03−4.199780e + 03
Std. dev.0.000000e + 000.000000e + 000.000000e + 000.000000e + 000.000000e + 00

Mean2.979121e − 013.778179e − 011.742658e − 014.115360e − 014.038612e − 01
Std. dev.4.223787e − 015.313373e − 013.892949e − 018.611120e − 014.975071e − 01

Mean1.826027e − 061.894760e − 061.713676e − 065.825965e − 073.601930e − 07
Std. dev.1.883324e − 061.430275e − 064.165584e − 067.745276e − 073.184672e − 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

Mean4.440892e − 154.440892e − 154.440892e − 154.440892e − 154.440892e − 15
Std. dev.2.407040e − 302.407040e − 302.407040e − 302.407040e − 302.407040e − 30

Mean4.711634e − 324.711634e − 324.711634e − 324.711634e − 324.711634e − 32
Std. dev.1.113480e − 471.113480e − 471.113480e − 471.113480e − 471.113480e − 47