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

Table 7

The mean solutions obtained by the PSO, DE, ABC, BFA, BSO, and IMBO algorithms for 6 test functions over 30 independent runs and total success numbers of algorithms. Genotype size: 10; (—): not available value, SD: standard deviation, AV: global minimum average.

Problem		PSO	DE	ABC	IMBO	BFA	BSO
Sphere	ORT	4.13𝐸−17	4.41𝐸−17	4.88𝐸−17	0	0.000031	8.475𝐸−123
	SD	7.71𝐸−18	8.09𝐸−18	5.21𝐸−18	0	0.00024	3.953𝐸−122
Rosenbrock	ORT	0.425645397	4.22𝐸−17	0.013107593	2.25𝐸−07	7.2084513	3.617𝐸−7
	SD	1.187984439	1.09𝐸−17	0.008658828	2.24𝐸−06	9.436551	5.081𝐸−5
Rastrigin	ORT	7.362692992	0.099495906	4.76𝐸−17	0	0.003821	4.171𝐸−64
	SD	2.485404145	0.298487717	4.40𝐸−18	0	0.006513	7.834𝐸−64
Griewank	ORT	0.059270504	0.008127282	5.10𝐸−19	0.000221881	3.209850	3.823𝐸−46
	SD	0.03371245	0.009476456	1.93𝐸−19	0.00126167	4.298031	6.679𝐸−46
Schwefel	ORT	−2654.033431	−4166.141206	−4189.828873	−1.21𝐸+23	—	—
	SD	246.5263242	47.37533385	9.09𝐸−13	7.289𝐸+44	—	—
Ackley	ORT	4.67𝐸−17	4.86𝐸−17	1.71𝐸−16	3.73𝐸−15	0.000085	7.105𝐸−19
	SD	8.06𝐸−18	6.55𝐸−18	3.57𝐸−17	1.42𝐸−15	0.000237	5.482𝐸−18