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Efficient Algorithms for the Knapsack Sharing Problem

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Author Info
Hifi, M.
Sadfi, S.
Sbihi, A.

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Abstract

In this paper, we propose two efficient algorithms in order to approximately solve the Knapsack Sharing Problem (KSP). In KSP, we have a knapsack of capicity c and a set of n objects, where each object j, j=1,...,n, is associated with a profit pj and a weight wj. The set of objects is divided into m different classes of objects and, the aim is to determine a subset of objects to be included in the knapsack which realizes a max-min value over all classes.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Papiers d'Economie Mathématique et Applications with number 2000.122.

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Length: 19 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:fth:pariem:2000.122

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Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Web page: http://cermsem.univ-paris1.fr/
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Related research
Keywords: EFFICIENCY ; PROFIT ; BEHAVIOUR;

Find related papers by JEL classification:
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

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