Hierarchical Artificial Bee Colony Algorithm for RFID Network Planning Optimization

Table 2

Performance of HABC on 100𝐷 benchmark functions 𝑓₁--𝑓₅ with different CRs. In bold are the best results. Note that values indicated in brackets denoted to function evaluations (FEs) are used to obtain the optimal value.

CR		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	3.79𝑒−109	1.79𝑒−201	3.19𝑒−200	4.79𝑒−210	6.59𝑒−200	3.06𝑒−200
𝑓2	Mean	2.17𝑒−004	1.16𝑒−006	1.08𝑒−005	5.50𝑒−005	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	8.79𝑒−109	3.01𝑒−109	9.89𝑒−109	7.87𝑒−100	1.61𝑒−110
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	1.21𝑒−200	1.79𝑒−209	3.71𝑒−209	4.75𝑒−209	6.01𝑒−209	1.21𝑒−209