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Exact solution method to solve large scale integer quadratic multidimensional knapsack problems

Abstract : In this paper we develop a branch-and-bound algorithm for solving a particular integer quadratic multi-knapsack problem. The problem we study is defined as the maximization of a concave separable quadratic objective function over a convex set of linear constraints and bounded integer variables. Our exact solution method is based on the computation of an upper bound and also includes pre-procedure techniques in order to reduce the problem size before starting the branch-and-bound process. We lead a numerical comparison between our method and three other existing algorithms. The approach we propose outperforms other procedures for large-scaled instances (up to 2000 variables and constraints).
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https://hal.archives-ouvertes.fr/hal-00917814
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Submitted on : Thursday, December 12, 2013 - 2:55:15 PM
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  • HAL Id : hal-00917814, version 1

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Dominique Quadri, Eric Soutif, Pierre Tolla. Exact solution method to solve large scale integer quadratic multidimensional knapsack problems. 2007. ⟨hal-00917814⟩

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