Discrete and Continuous Optimization Based on Hierarchical Artificial Bee Colony Optimizer

Table 4

Results of HABC_AW on benchmark functions 𝑓₁--𝑓₈ with different CR. In bold are the best results.

Function		0.05	0.1	0.2.	0.4	0.6	1
𝑓1	Mean	1.69𝑒−109	3.74𝑒−215	4.25𝑒−290	0 (64800)	0 (56000)	0  (36000)
	Std	3.79879𝑒−109	0	0	0	0	0
𝑓2	Mean	2.17𝑒−004	1.16𝑒−006	1.08𝑒−005	5.50	4.26𝑒−006	𝟒.𝟑𝟓𝐞−𝟎𝟎𝟕
	Std	4.07𝑒−004	2.1𝑒−006	8.15𝑒−006	12.30	6.38𝑒−006	𝟓.𝟔𝟗𝐞−𝟎𝟎𝟕
𝑓3	Mean	2.36𝑒−101	2.99𝑒−194	1.71𝑒−267	0 (69700)	0 (49800)	0  (38000)
	Std	4.74𝑒−101	0	0	0	0	0
𝑓4	Mean	𝟏.𝟗𝟑𝐞−𝟎𝟐𝟖	4.46𝑒−028	4.97𝑒−028	5.14𝑒−026	7.62𝑒−25	7.87𝑒−022
	Std	𝟐.𝟎𝟑𝐞−𝟎𝟐𝟖	8.01𝑒−028	3.44𝑒−028	5.77𝑒−026	5.55𝑒−025	1.34𝑒−021
𝑓5	Mean	0 (20000)	0 (13500)	0 (7900)	0 (6860)	0 (4400)	0  (3100)
	Std	0	0	0	0	0	0
𝑓6	Mean	𝟑.𝟖𝟒𝐞−𝟎𝟎𝟒	3.81𝑒−004	3.81𝑒−004	3.96𝑒−004	6.11𝑒−004	5.79𝑒−004
	Std	𝟏.𝟐𝟓𝐞−𝟎𝟏𝟐	1.62𝑒−012	8.42𝑒−013	3.22𝑒−005	3.43𝑒−004	2.84𝑒−004
𝑓7	Mean	8.88𝑒−016 (22000)	8.88𝑒−016 (21500)	8.88𝑒−016 (15400)	8.88𝑒−016 (14220)	8.88𝑒−016 (13800)	𝟖.𝟖𝟖𝐞−𝟎𝟏𝟔  (12500)
	Std	0	0	0	0	0	0
𝑓8	Mean	0 (19000)	0 (15800)	0 (13000)	0 (9800)	0 (6100)	0  (5400)
	Std	0	0	0	0	0	0