Discrete and Continuous Optimization Based on Hierarchical Artificial Bee Colony Optimizer

Table 5

Results of HABC_SB on benchmark functions 𝑓₁₆--𝑓₂₀ with different CR. In bold are the best results.

Function		0.05	0.1	0.2	0.4	0.6	1
𝑓16	Mean	5.11𝑒−001	𝟑.𝟎𝟎𝐞−𝟎𝟎𝟐	9.00𝑒−002	1.00𝑒−001	2.6𝑒−001	1.6𝑒−001
	Std	1.61𝑒−001	𝟔.𝟎𝟑𝐞−𝟎𝟎𝟐	1.03𝑒−001	8.32𝑒−002	1.68𝑒−001	2.11𝑒−001
𝑓17	Mean	2.00𝑒−002	0	2.00𝑒−002	1.50𝑒−001	2.61𝑒−001	5.15𝑒−001
	Std	6.37𝑒−002	0	6.35𝑒−002	1.23𝑒−001	2.38𝑒−001	1.69𝑒−001
𝑓18	Mean	4.86	6.81	8.25	1.69𝑒+001	2.22𝑒+001	4.21𝑒+001
	Std	2.34	2.24	2.45	3.32	4.79	5.00
𝑓19	Mean	6.70	1.69	1.75	3.61	5.28	8.73
	Std	6.1𝑒−001	𝟓.𝟏𝟏𝐞−𝟎𝟎𝟏	3.11𝑒−001	5.77𝑒−001	7.44𝑒−001	1.41
𝑓20	Mean	𝟓.𝟑𝟒𝐞−𝟎𝟎𝟏	1.51	1.96	2.36	3.31	6.53
	Std	𝟐.𝟐𝟓𝐞−𝟎𝟎𝟐	3.32𝑒−001	5.82𝑒−001	3.42𝑒−001	6.03𝑒−001	9.54𝑒−004