Mutation Strategy Based on Step Size and Survival Rate for Evolutionary Programming

Table 7

Mean and standard deviations of SSMSEP, SSMSEP-1, SSMSEP-2, SSEP, MSEP, and LMSEP ( averaged over 50 runs, and averaged over 1000 runs; the mean best fitness values are shown in bold).

	NGs	SSMSEP	SSMSEP-1	SSMSEP-2	SSEP	LMSEP [7]	MSEP [7]
	1500	3.7814E − 08	1.0901E − 04	1.4066E − 07	5.5197E − 08	3.803E − 05	6.209E − 05
		(3.78E − 08)	(2.34E − 04)	(6.14E − 07)	(6.55E − 08)	(7.97E − 05)	(1.61E − 04)
	2000	3.6408E − 04	4.0167E − 04	3.2274E − 04	2.4660E − 04	1.556E − 03	8.226E − 02
		(3.01E − 05)	(3.08E − 05)	(2.86E − 05)	(1.56E − 05)	(9.37E − 04)	(4.35E − 01)
	5000	6.4065E − 04	9.7131E − 01	8.8194E − 04	1.4405E − 03	0.767	0.629
		(1.80E − 03)	(8.19E − 01)	(1.49E − 03)	(4.03E − 03)	(1.09)	(1)
	1500	0	64.98	0	0	0	43.8
		(0)	(128)	(0)	(0)	(0)	(126)
	3000	8.4609E − 03	2.8136E − 02	8.1618E − 03	7.9013E − 03	3.514E − 02	3.56E − 02
		(2.68E − 03)	(9.89E − 03)	(2.18E − 03)	(2.13E − 03)	(1.85E − 02)	(1.74E − 02)
	5000	3.3160E − 01	84.77	38.16	43.69	61.39	63.44
		(1.10)	(24.67)	(23.95)	(29.72)	(13.18)	(13.8)
	1500	1.6879E − 03	19.69	2.4643E − 03	8.7447E − 02	1.956E − 03	6.498
		(4.80E − 03)	(1.86)	(5.95E − 03)	(4.19E − 01)	(1.76E − 03)	(2.49)
	2000	2.2300E − 02	7.4742E − 02	2.2230E − 02	1.7921E − 02	5.0E − 02	7.768E − 02
		(2.7383E − 02)	(5.9743E − 02)	(3.4994E − 02)	(1.9481E − 02)	(4.843E − 2)	(11.198)
	1500	4.1633E − 03	1.3546E + 00	4.1507E − 03	4.1515E − 03	1.282	9.36E − 01
		(2.0519E − 02)	(2.3403E + 00)	(2.0521E − 02)	(2.0520E − 02)	(2.065)	(2.46E − 02)
	4000	4.3569E − 04	4.5400E − 04	4.3569E − 04	5.0894E − 04	2.247E − 04	3.077E − 04
		(3.2096E − 04)	(3.3910E − 04)	(3.2096E − 04)	(3.8317E − 04)	(1.885E − 04)	(1.090E − 06)
	100	−1.0316	−1.0316	−1.0316	−1.0316	−1.0316	−1.0316
		(2.34E − 09)	(3.77E − 10)	(4.70E − 11)	(2.00E − 12)	(4.82E − 09)	(3.42E − 08)
	100	3	3	3	3	3	3
		(3.38E − 07)	(8.35E − 06)	(3.62E − 07)	(6.04E − 08)	(4.43E − 08)	(0)
	100	−3.863	−3.863	−3.863	−3.863	−3.863	−3.863
		(1.63E − 06)	(8.19E − 08)	(2.49E − 04)	(1.68E − 06)	(7.22E − 08)	(4.568E − 07)
	100	−6.586	−5.480	−6.755	−6.683	−8.744	−8.62
		(2.41)	(1.55)	(2.62)	(2.54)	(2.744)	(2.59)
	100	−7.76	−6.26	−8.17	−8.03	−9.585	−9.37
		(2.88)	(2.48)	(2.89)	(2.91)	(2.136)	(2.32)
	100	−8.35	−7.53	−8.63	−8.62	−9.483	−9.63
		(3.06)	(3.28)	(3.06)	(3.05)	(2.466)	(2.38)