Hierarchical Artificial Bee Colony Optimizer with Divide-and-Conquer and Crossover for Multilevel Threshold Image Segmentation

Table 5

Performance of all algorithms on basic benchmark functions f₁–f₈.

Function		HABC	CABC	CPSO	CMA-ES	ABC	PSO	GA
	Mean	0			0
	Std.	0			0
	Rank	1	3	5	1	4	6	7
	Mean	0	4.91	3.41
	Std.	0	5.65	1.96
	Rank	1	5	4	2	3	6	7
	Mean	0			0
	Std.	0			0	3.97
	Rank	1	6	4	1	5	3	7
	Mean
	Std.
	Rank	3	2	5	1	4	7	6
Total rank  1		6	16	18	5	16	22	27
	Mean	0	0	1.35
	Std.	0	0	0.97	5.98			5.41
	Rank	1	1	4	6	3	5	7
	Mean	2.19
	Std.	4.99
	Rank	1	4	5	6	2	7	3
	Mean						3.14
	Std.	0					6.13	2.15
	Rank	1	2	5	7	4	6	8
	Mean	0
	Std.	0
	Rank	1	2	4	3	6	5	7
Total rank  2		4	9	18	22	15	23	25