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Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem

Kaparis, Konstantinos and Letchford, Adam N. (2007) Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem European Journal of Operational Research, pp. 91-103. (doi:10.1016/j.ejor.2007.01.032).

Record type: Article


The 0-1 Multidimensional Knapsack Problem (0-1 MKP) is a well- known (and strongly N P -hard) combinatorial optimization problem with many applications. Up to now, the ma jority of upper bounding techniques for the 0-1 MKP have been based on Lagrangian or surro- gate relaxation. We show that good upper bounds can be obtained by a cutting plane method based on lifted cover inequalities (LCIs). As well as using traditional LCIs, we use some new ‘global’ LCIs, which take the whole constraint matrix into account.

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Submitted date: 5 January 2007
Published date: 20 February 2007
Additional Information: Article in press, corrected proof
Keywords: integer programming, combinatorial optimization
Organisations: Operational Research


Local EPrints ID: 48753
ISSN: 0377-2217
PURE UUID: faebf795-1458-40d6-8d5b-4b9c8db01ae6

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Date deposited: 12 Oct 2007
Last modified: 17 Jul 2017 14:58

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Author: Konstantinos Kaparis
Author: Adam N. Letchford

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