Novel Metaheuristic Based on Iterated Constructive Stochastic Heuristic: Dhouib-Matrix-3 (DM3)

Table 1

Results found by DM3 and other metaheuristics applied on TSP-LIB instances.

Instance	Optimal	SA		GA		CGA		SCGA		DM3
		Best	RE	Best	RE	Best	RE	Best	RE	Best	RE
oliver30	420	425	1.12	424	1.22	424	0.89	424	0.89	420	0.00
chn31	15377	15487	0.72	15451	4.69	15378	0.00	15378	0.00	15377	0.00
eil51	426	438	2.73	440	7.63	439	2.95	429	0.67	427	0.23
berlin52	7542	7899	4.73	7685	9.26	7813	3.59	7544	0.03	7542	0.00
eil76	538	571	6.13	575	15.15	562	4.46	547	1.70	540	0.37
kroa100	21282	21985	3.30	22094	15.89	21544	1.23	21285	0.02	21282	0.00
pr107	44303	45983	3.79	45162	11.49	44579	0.62	44302	0.00	44303	0.00
bier127	118282	128515	8.65	126213	12.21	123578	4.48	118294	0.01	118839	0.47
ch130	6110	6542	7.07	6493	12.95	6350	3.93	6183	1.20	6169	0.97
pr136	96772	104785	8.28	105372	14.21	102048	5.45	96795	0.02	96790	0.02
pr152	73682	75801	2.88	76993	12.68	74889	1.64	73684	0.00	74089	0.55
kroa200	29368	32406	10.34	34197	23.38	31725	8.03	29533	0.56	29666	1.01