MEEF: A Minimum-Elimination-Escape Function Method for Multimodal Optimization Problems

Table 3

Results obtained by the MEEF method with parameter .

		Initial point	Obtained solution	Function value	FE
	2	(2, 3)	(−0.089842002528404, 0.712656392613011)	−1.031628453489876	82
	2	(2, 2)	(3.141592041900419, 2.275001484633560)	0.397887357732550	24
	2	(2, 3)	(0.000000079909768, −1.000000070623033)	3.000000000004941	121
	2	(0.5, 0.5)	(0, 0.177012710045332)	−2.000000000000000	9
	2	(2, 2)	(0.999999975527650, 0.999999946318032)	6.101167528810935	39
	2	(2, 2)	(0.971130213666137, 0.706031037637329)	1.699019537462052	55
	2	(2, 2)	(0.255229333496938, −0.434186565450557)	4.490860908315311	72
	2	(−5, −5)	(−7.708313676331958, −0.800321082369111)	−186.7309088310150	117
	2	(−5, −5)	(−1.425128417571605, −0.800321090609564)	−186.7309088310209	153
	2	(−5, −5)	(−1.425128416153344, −0.800321091763070)	−186.7309088310196	123
	4	(5, , 5)	(4.000037215924857, 4.000133145585854,	−10.153199679054000	175
			4.000037215925353, 4.000133145585680)
	4	(5, , 5)	(4.000572886900829, 4.000689336118056,	−10.402940566818309	220
			3.999489677757608, 3.999606130253441)
	4	(5, , 5)	(4.000746305174065, 4.000589588385656,	−10.536409815258031	200
			3.999664311018934, 3.999511307520479)
	6	(−5, , −5)	(0.999999975220856, 1.000000087429692,	5.214584135632792	63
			1.000000087650645, 1.000000087650650,
			1.000000087650650, 1.000000087666372)
	6	(−5, , −5)	(0.999999825677932, 1.000021645871587,	8.099295276500388	435
			1.000005196859773, 1.000037076494750,
			0.999975987700201, 1.000005012447259)
	6	(−5, , −5)	(1.000000043566668, 0.999999279798989,	8.329925614010338	84
			0.999999684929615, 0.999999795460065,
			0.999999641721513, 1.000000155571707)
	30	(−5, , −5)	(1.000000, , 1.000000)	7.853766183846135	403
	30	(400, , 400)	(420.96874, , 420.96874)	−12569.48661817255	186
	30	(2, , 2)	(0, , 0)	0	93
	30	(−50, , −50)	(−2.903534, …, −2.903534)	−1174.984119718874	496