An Improved Marriage in Honey Bees Optimization Algorithm for Single Objective Unconstrained Optimization

Table 11

The mean solutions obtained by the DE, PSO, ABC, and IMBO algorithms for 6 test functions over 30 independent runs and total success numbers of algorithms. Genotype size: 100; (—): not available value, SD: standard deviation, AV: global minimum average.

Problem		PSO	DE	ABC	IMBO
Sphere	AV	5.14𝐸−16	8.84𝐸−17	1.08𝐸−15	0
	SD	3.12𝐸−16	4.29𝐸−17	1.04𝐸−16	0
Rosenbrock	AV	113.143751	132.3488752	0.054865327	0
	SD	48.99432331	41.72265261	0.045566135	0.142502861
Rastrigin	AV	148.2486456	133.1138439	1.08𝐸−15	4.54747𝐸−15
	SD	17.76489083	106.6728854	8.99𝐸−17	3.18323𝐸−14
Griewank	AV	0.048643996	0.000739604	4.92𝐸−17	0
	SD	0.063166266	0.002218812	4.25𝐸−18	0
Schwefel	AV	−20100.36156	−31182.49983	−41898.28873	−6.17561𝐸+29
	SD	1763.156655	2078.47339	3.30𝐸−10	3.52272𝐸+30
Ackley	AV	0.732022399	2.14𝐸−16	4.21𝐸−15	1.57𝐸−14
	SD	0.755456829	4.53𝐸−17	3.09𝐸−16	2.30𝐸−15