Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem
Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem
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.
integer programming, combinatorial optimization
91-103
Kaparis, Konstantinos
29a564bc-2835-43ee-bf21-50e65e0a894a
Letchford, Adam N.
43c21ba9-1849-4c67-ba88-d03c300c50e4
20 February 2007
Kaparis, Konstantinos
29a564bc-2835-43ee-bf21-50e65e0a894a
Letchford, Adam N.
43c21ba9-1849-4c67-ba88-d03c300c50e4
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, .
(doi:10.1016/j.ejor.2007.01.032).
Abstract
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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More information
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
Identifiers
Local EPrints ID: 48753
URI: http://eprints.soton.ac.uk/id/eprint/48753
ISSN: 0377-2217
PURE UUID: faebf795-1458-40d6-8d5b-4b9c8db01ae6
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Date deposited: 12 Oct 2007
Last modified: 15 Mar 2024 09:49
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Contributors
Author:
Konstantinos Kaparis
Author:
Adam N. Letchford
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