Title
Partial cover and complete cover inequalities
Abstract
In this paper we use an extension of the well-known cover inequalities to obtain valid inequalities for 0-1 integer problems with two different sided knapsack constraints and, in general, for any kind of 0-1 integer problems having at least two different sided constraints. These inequalities cannot be derived from any of the individual constraints alone and are stronger than the cover inequalities derived from knapsack constraints individually. Given a solution, we state the conditions under which violated inequalities of this type exist, and we also propose heuristics to identify them. The application of these inequalities to different classes of 0-1 integer problems is also studied.
Year
DOI
Venue
1994
10.1016/0167-6377(94)90010-8
Oper. Res. Lett.
Keywords
Field
DocType
complete cover inequality,knapsack constraints,partial cover,cover inequality,cover inequalities,0–1 integer problems,individual constraint,well-known cover inequality,knapsack constraint,valid inequality,different class,integer problem
Integer,Discrete mathematics,Mathematical optimization,Combinatorics,Inequality,Integer programming,Heuristics,Knapsack problem,Mathematics
Journal
Volume
Issue
ISSN
15
1
Operations Research Letters
Citations 
PageRank 
References 
2
0.41
1
Authors
2
Name
Order
Citations
PageRank
Elena Fernández111910.00
Kurt Jørnsten223224.52