A Modified Artificial Bee Colony Algorithm with Firefly Algorithm Strategy for Continuous Optimization Problems

Table 2

Performance comparison of ABC, GABC, ABC/best/1, ABC/best/2, and MABC algorithms.

Functions	D	Statistics	ABC	GABC	ABC/best/1	ABC/best/2	MABC	Significant
	30	Mean	6.38E-16	4.18E-16	0	0	0	+,+,0,0
		SD	1.20E-16	7.37E-17	0	0	0
	60	Mean	2.78E-15	1.43E-15	0	0	0	+,+,0,0
		SD	3.18E-16	1.38E-16	0	0	0
	2	Mean	9.93E-03	1.68E-04	4.99E-04	4.42E-04	3.85E-11	+,+,+,+
		SD	8.14E-03	1.45E-04	5.22E-06	2.39E-04	1.24E-10
	3	Mean	6.45E-02	2.66E-03	5.52E-06	9.90E-04	2.84E-11	+,+,+,+
		SD	4.85E-02	2.12E-03	3.03E-06	6.92E-04	6.27E-11
	30	Mean	1.34E-13	1.33E-15	0	0	0	+,0,0,0
		SD	7.97E-14	2.45E-14	0	0	0
	60	Mean	2.06E-08	3.52E-13	0	0	0	0,+,0,0
		SD	1.12E-07	1.24E-13	0	0	0
	30	Mean	4.70E-14	3.22E-14	1.72E-14	2.50E-14	2.73E-14	+,+,–,0
		SD	5.95E-15	3.25E-15	2.84E-15	3.48E-15	1.76 E-14
	60	Mean	1.66E-13	1.00E-13	6.62E-14	7.12E-14	5.58E-14	+,+,+,+
		SD	2.22E-14	6.09E-15	1.74E-15	4.14E-15	1.86E-14
	30	Mean	1.27E-15	2.96E-17	0	0	0	+,+,0,0
		SD	1.46E-15	4.99E-17	0	0	0
	60	Mean	2.51E-13	7.55E-16	0	0	0	+,+,0,0
		SD	7.51E-13	4.13E-17	0	0	0