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

Table 3

Test results of the IMBO algorithm for the genotype sizes of 10, 50, 100, 300, 500, 800, and 1000; number of runs = 30; SD: standard deviation, AV: global minimum average; generation = 10000.

Genotype size		10	50	100	300	500	800	1000
Sphere	AV	0	0	0	1.38𝐸−28	1.47𝐸−13	2.78𝐸−07	0.0001224
	SD	0	0	0	8.97𝐸−29	1.90𝐸−15	8.50𝐸−08	3.09𝐸−05
Rosenbrock	AV	2.25𝐸−07	0	0	0	0	0	0
	SD	2.24𝐸−06	0	0.1425029	0	0	0.2440021	0
Rastrigin	AV	0	0	4.54𝐸−15	5.68𝐸−13	3.60𝐸−12	6.13𝐸−07	0.0002386
	SD	0	0	3.18𝐸−14	4.78𝐸−13	1.25𝐸−12	3.14𝐸−07	9.13𝐸−05
Griewank	AV	0.0002219	0	0	3.48𝐸−16	9.15𝐸−13	1.78𝐸−07	3.26𝐸−05
	SD	0.0012617	0	0	3.85𝐸−17	1.88𝐸−14	5.43𝐸−08	6.73𝐸−06
Schwefel	AV	−1.21𝐸+23	−1.08𝐸+25	−6.17𝐸+29	−1.21𝐸+40	−1.76𝐸+36	−2.96𝐸+39	−1.64𝐸+39
	SD	7.28𝐸+44	1.06𝐸+26	3.52𝐸+30	6.52𝐸+40	5.78𝐸+36	2.14𝐸+40	1.49𝐸+40
Ackley	AV	3.73𝐸−15	8.13𝐸−15	1.57𝐸−14	7.49𝐸−14	1.76𝐸−05	3.30𝐸−05	0.0006221
	SD	1.42𝐸−15	9.94𝐸−16	2.30𝐸−15	5.11𝐸−15	3.09𝐸−05	9.57𝐸−06	0.0001513