Discrete and Continuous Optimization Based on Hierarchical Artificial Bee Colony Optimizer

Table 6

Performance of HABC_AW on 100D 𝑓₁ and 𝑓₄--𝑓₈ with the different grouping number 𝐾. In bold are the best results.

Function		𝐾⊂𝑆	𝐾=5	𝐾=10	𝐾=50	𝐾=100
𝑓1	Mean	0  (91000)	0  (45000)	2.00𝑒−080	3.70𝑒−043	6.56𝑒−042
	Std	0	0	1.03𝑒−001	6.31𝑒−043	1.27𝑒−041
𝑓4	Mean	1.10𝑒−014	1.47	1.56	6.50𝑒−001	𝟏.𝟔𝟏𝐞−𝟎𝟐𝟐
	Std	1.37𝑒−014	3.12𝑒−001	2.47𝑒−001	1.1 3	𝟏.𝟑𝟖𝐞−𝟎𝟐𝟐
𝑓5	Mean	0	0	7.25𝑒−014	5.39𝑒−013	8.22𝑒−013
	Std	0	0	1.45𝑒−013	2.32𝑒−013	1.33𝑒−013
𝑓6	Mean	𝟏.𝟕𝟎𝐞−𝟎𝟎𝟑	7.69𝑒−002	4.45𝑒−002	3.23𝑒+002	1.99𝑒+002
	Std	𝟏.𝟏𝟎𝐞−𝟎𝟎𝟑	1.11𝑒−001	2.71𝑒−002	5.37𝑒+002	3.94𝑒+002
𝑓7	Mean	𝟖.𝟑𝟒𝐞−𝟎𝟏𝟔	2.51𝑒−014	1.33𝑒−014	1.13𝑒−013	7.71𝑒−014
	Std	0	5.25𝑒−015	1.25𝑒−014	2.42𝑒−014	2.03𝑒−015
𝑓8	Mean	0	0	0	0	0
	Std	0	0	0	0	0