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

Table 7

Results obtained by MEEF for and with different dimensions and initial points.

FE	Function value	FE	Function value	FE	Function value	FE	Function value
2	18	1.085446757	18	1.297419473	64	−78.33233141	70	−78.33233141
3	32	3.881689583	52	6.581268930	85	−117.4984971	93	−117.4984971
4	50	1.354820184	110	2.251127378	106	−156.6646628	116	−156.6646628
5	78	4.197601362	150	4.168584952	127	−195.8308285	139	−195.8308285
6	84	8.329925614	266	1.472052530	148	−234.9969942	162	−234.9969942
7	112	6.235422186	376	2.189048047	169	−274.1631599	185	−274.1631599
8	126	1.306299412	270	5.815899531	190	−313.3293256	208	−313.3293256
9	140	6.703769837	300	2.936541720	211	−352.4954913	231	−352.4954913
10	143	7.356304059	352	3.516108327	232	−391.6616570	254	−391.6616570
11	168	5.459150817	408	6.176002998	253	−430.8278227	277	−430.8278227
12	182	9.150503163	455	8.683242009	274	−469.9939884	300	−469.9939884
13	196	6.270859476	476	3.718745017	295	−509.1601541	323	−509.1601541
14	210	4.792250528	495	2.219453850	316	−548.3263199	346	−548.3263199
15	224	4.098385496	544	8.168107717	337	−587.4924856	369	−587.4924856
16	221	2.315381989	527	2.298317761	358	−626.6586513	392	−626.6586513
17	234	2.138104564	594	3.817915433	379	−665.8248170	415	−665.8248170
18	266	6.000741134	646	2.690515855	400	−704.9909827	438	−704.9909827
19	260	2.123271916	680	5.573695353	421	−744.1571484	461	−744.1571484
20	294	4.108817487	735	3.857485816	442	−783.3233141	484	−783.3233141
21	286	1.795219586	726	2.271437801	463	−822.4894798	507	−822.4894798
22	299	1.642006180	736	1.894022176	484	−861.6556455	530	−861.6556455
23	312	1.848577193	840	2.361769572	505	−900.8218112	553	−900.8218112
24	325	1.483992255	800	8.836913596	526	−939.9879769	576	−939.9879769
25	364	4.463518375	884	2.175002083	547	−979.1541426	599	−979.1541426
30	403	7.853766184	1054	3.914811669	652	−1174.984971	714	−1174.984971
40	533	4.426171374	1394	6.979357443	862	−1566.646628	944	−1566.646628
50	663	1.099481484	1938	2.005274943	1123	−1958.308285	1174	−1958.308285