Discrete and Continuous Optimization Based on Hierarchical Artificial Bee Colony Optimizer

Table 8

Performance of all algorithms on benchmark discrete functions 𝑓₁₆--𝑓₂₀.

Function		HABC	ABC	PSO	GA
𝑓16	Mean	0	0	2.20𝑒−001	3.25𝑒−002
	Std	0	0	7.27𝑒−002	7.27𝑒−002
	Rank	1	1	4	3
𝑓17	Mean	0.88	1.12	1.16	1.36
	Std	𝟏.𝟎𝟗𝐞−𝟎𝟎𝟏	1.78𝑒−001	2.60𝑒−001	3.57𝑒−001
	Rank	1	3	6	7
𝑓18	Mean	4.00	2.31𝑒+001	4.60	1.11𝑒+001
	Std	1.76	7.53	1.19	4.95
	Rank	1	4	2	3
𝑓19	Mean	0	1.33	2.51𝑒−001	1.65
	Std	0	1.12𝑒−002	7.07𝑒−002	3.56𝑒−001
	Rank	1	3	2	4
𝑓20	Mean	𝟐.𝟐𝟏𝐞−𝟎𝟎𝟏	3.4𝑒−001	2.00	1.33
	Std	𝟐.𝟏𝟏𝐞−𝟎𝟎𝟐	1.67𝑒−001	1.09𝑒−001	2.05𝑒−001
	Rank	1	2	4	3
Total rank		5	13	17	20