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

Table 2

Results obtained by the MEEF method with parameter .

		Initial point	Obtained solution	Function value	FE
	2	(2, 3)	(0.089842003437579, −0.712656409125114)	−1.031628453489877	85
	2	(2, 2)	(3.141592688391699, 2.275000558005582)	0.397887357730086	24
	2	(2, 3)	(0.000000101085690, −1.000000080645316)	3.000000000007129	123
	2	(0.5, 0.5)	(0, 0.177012710045332) − 8	−2.000000000000000	9
	2	(2, 2)	(0.999999975527650, 0.999999946318032)	6.101167528810935 − 16	39
	2	(2, 2)	(−0.206247122387113, −0.641651061630765) − 6	3.644531508398336 − 13	55
	2	(2, 2)	(0.255229333496938, −0.434186565450557) − 6	4.490860908315311 − 13	72
	2	(−5, −5)	(−7.708313690302231, −7.083506338327442)	−186.7309088310084	117
	2	(−5, −5)	(−1.425128417092666, −0.800321092273561)	−186.7309088310210	147
	2	(−5, −5)	(−1.425128512018681, −0.800320977448782)	−186.7309088309708	120
	4	(5, , 5)	(4.000037215924857, 4.000133145585854,	−10.153199679054000	175
			4.000037215925353, 4.000133145585680)
	4	(5, , 5)	(4.000571087341658, 4.000688525752843,	−10.402940565956264	215
			3.999491847214348, 3.999606246757180)
	4	(5, , 5)	(4.000744184774035, 4.000591649142067,	−10.536409814138384	200
			3.999664021647593, 3.999514044541852)
	6	(−5, , −5)	(0.999999975220856, 1.000000087429692,	5.214584135632792 − 14	63
			1.000000087650645, 1.000000087650650,
			1.000000087650650, 1.000000087666372)
	6	(−5, , −5)	(1.000000115352228, 1.000028015306673,	3.543622987114415 − 11	434
			1.000000362452354, 1.000004773697615,
			1.000015817395051, 0.999995146352257)
	6	(−5, , −5)	(1.000000043566668, 0.999999279798989,	8.329925614010338 − 14	84
			0.999999684929615, 0.999999795460065,
			0.999999641721513, 1.000000155571707)
	30	(−5, , −5)	(1.000000, , 1.000000)	7.853766183846135 − 12	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