A New Formulation of the Set Covering Problem for Metaheuristic Approaches

Table 1

OR-Library benchmarks.

Characteristics				Cost		Number of moves
Instance	Size	Density	Best known	DH	GH	DH	GH
4.1	200 × 1000	2%	429	433	434	77	93
4.2	200 × 1000	2%	512	523	552	75	94
4.3	200 × 1000	2%	516	531	546	79	96
4.4	200 × 1000	2%	494	503	507	70	93
4.5	200 × 1000	2%	512	515	518	72	95
4.6	200 × 1000	2%	560	575	597	78	83
4.7	200 × 1000	2%	430	444	449	74	77
4.8	200 × 1000	2%	492	493	525	70	77
4.9	200 × 1000	2%	641	672	672	82	99
4.10	200 × 1000	2%	514	519	528	71	86
5.1	200 × 2000	2%	253	265	273	76	88
5.2	200 × 2000	2%	302	314	335	71	82
5.3	200 × 2000	2%	226	230	230	66	82
5.4	200 × 2000	2%	242	246	254	69	86
5.5	200 × 2000	2%	211	214	215	73	87
5.6	200 × 2000	2%	213	216	227	69	85
5.7	200 × 2000	2%	293	297	305	76	84
5.8	200 × 2000	2%	288	297	304	77	85
5.9	200 × 2000	2%	279	281	290	68	84
5.10	200 × 2000	2%	265	271	274	74	81
6.1	200 × 1000	5%	138	149	143	39	56
6.2	200 × 1000	5%	146	156	154	44	53
6.3	200 × 1000	5%	145	149	157	43	46
6.4	200 × 1000	5%	131	134	140	46	51
6.5	200 × 1000	5%	161	180	182	47	50
A.1	300 × 3000	2%	253	258	269	82	97
A.2	300 × 3000	2%	252	262	268	78	93
A.3	300 × 3000	2%	232	243	248	80	105
A.4	300 × 3000	2%	234	240	243	84	107
A.5	300 × 3000	2%	236	240	246	79	107
B.1	300 × 3000	5%	69	72	71	41	45
B.2	300 × 3000	5%	76	79	78	44	50
B.3	300 × 3000	5%	80	84	84	47	46
B.4	300 × 3000	5%	79	84	88	44	50
B.5	300 × 3000	5%	72	72	75	46	48
C.1	400 × 4000	2%	227	237	252	102	110
C.2	400 × 4000	2%	219	230	225	93	128
C.3	400 × 4000	2%	243	249	258	89	102
C.4	400 × 4000	2%	219	229	239	94	115
C.5	400 × 4000	2%	215	222	222	93	106
D.1	400 × 4000	5%	60	64	66	49	54
D.2	400 × 4000	5%	66	68	69	52	50
D.3	400 × 4000	5%	72	77	80	54	59
D.4	400 × 4000	5%	62	62	66	52	54
D.5	400 × 4000	5%	61	65	67	49	61
E.1	500 × 5000	10%	29	30	30	30	35
E.2	500 × 5000	10%	30	33	35	31	37
E.3	500 × 5000	10%	27	29	31	29	31
E.4	500 × 5000	10%	28	32	31	32	33
E.5	500 × 5000	10%	28	30	30	30	32
F.1	500 × 5000	20%	14	16	17	16	17
F.2	500 × 5000	20%	15	16	16	15	16
F.3	500 × 5000	20%	14	17	15	17	17
F.4	500 × 5000	20%	14	17	15	17	14
F.5	500 × 5000	20%	13	15	15	17	15
G.1	1000 × 10000	2%	176	186	191	132	146
G.2	1000 × 10000	2%	154	166	176	115	139
G.3	1000 × 10000	2%	166	178	182	126	147
G.4	1000 × 10000	2%	168	178	179	128	138
G.5	1000 × 10000	2%	168	179	182	127	131
H.1	1000 × 10000	5%	63	69	69	68	65
H.2	1000 × 10000	5%	63	70	72	62	67
H.3	1000 × 10000	5%	59	63	66	62	62
H.4	1000 × 10000	5%	58	65	64	65	61
H.5	1000 × 10000	5%	55	60	61	61	60