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

Table 13

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: 1000; (—): not available value, SD: standard deviation, AV: global minimum average.

Problem		PSO	DE	ABC	IMBO
Sphere	AV	9723.034942	329214.6744	0.058275686	0.000122371
	SD	3920.944041	917847.3604	0.021093306	3.09627𝐸−05
Rosenbrock	AV	1679629.019	14373397912	2603.968539	0
	SD	648462.4744	361340776.6	599.4022496	0
Rastrigin	AV	2722.799729	1674.782779	735.8480014	0.000238574
	SD	83.14754621	96.86409615	24.75231998	9.13969𝐸−05
Griewank	AV	86.03568115	266.1639753	0.10290266	3.2663𝐸−05
	SD	29.1502045	335.3504904	0.068217103	6.73212𝐸−06
Schwefel	AV	−187704.1438	−252854.5198	−350890.8062	−1.64729𝐸+39
	SD	11097.95553	17724.02042	2279.801625	1.49786𝐸+40
Ackley	AV	8.741445965	17.47129372	3.200412604	0.000622099
	SD	0.784830594	3.815946124	0.133628837	0.000151332