New facets for the set packing polytope

被引：22

作者：

Cánovas, L ^{[1
]}

Landete, M ^{[1
]}

Marín, A ^{[1
]}

机构：

[1] Univ Murcia, Fac Matemat, Dept Estadist & Invest Operat, E-30071 Murcia, Spain

来源：

OPERATIONS RESEARCH LETTERS | 2000年 / 27卷 / 04期

关键词：

polyhedral combinatoric; facets; packing; discrete location;

D O I：

10.1016/S0167-6377(00)00056-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We introduce a family of graphs, named grilles, and a facet of the set packing polytope associated with a grille. The proof is based on a new facet generating procedure which is valid in a wider context. We also obtain new facets for the simple plant location polytope. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：153 / 161

页数：9

共 50 条

[1] Facets of the independent set polytope
Easton, T
Hooker, K
Lee, EK
[J]. MATHEMATICAL PROGRAMMING, 2003, 98 (1-3) : 177 - 199
[2] Facets of the independent set polytope
Todd Easton
Kevin Hooker
Eva K. Lee
[J]. Mathematical Programming, 2003, 98 : 177 - 199
[3] The facets of the matroid polytope and the independent set polytope of a positroid
Oh, Suho
Xiang, David
[J]. JOURNAL OF COMBINATORICS, 2022, 13 (04) : 545 - 560
[4] On the facets of the simple plant location packing polytope
Cánovas, L
Landete, M
Marín, A
[J]. DISCRETE APPLIED MATHEMATICS, 2002, 124 (1-3) : 27 - 53
[5] Critical facets of the stable set polytope
Lipták, L
Lovász, L
[J]. COMBINATORICA, 2001, 21 (01) : 61 - 88
[6] Critical Facets of the Stable Set Polytope
László Lipták
László Lovász
[J]. Combinatorica, 2001, 21 : 61 - 88
[7] SIMPLEX PIVOTS ON THE SET PACKING POLYTOPE
IKURA, Y
NEMHAUSER, GL
[J]. MATHEMATICAL PROGRAMMING, 1985, 33 (02) : 123 - 138
[8] FACETS AND LIFTING PROCEDURES FOR THE SET COVERING POLYTOPE
NOBILI, P
SASSANO, A
[J]. MATHEMATICAL PROGRAMMING, 1989, 45 (01) : 111 - 137
[9] Partitions of a polytope and mappings of a point set to facets
Karasev, RN
[J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2005, 34 (01) : 25 - 45
[10] On the 0, 1 facets of the set covering polytope
[J]. Cornuejols, Gerard, 1600, (43):

← 1 2 3 4 5 →