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Title of Journal: J Comb Optim

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Abbravation: Journal of Combinatorial Optimization

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Springer US

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10.1016/j.bbrc.2004.06.023

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1573-2886

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A Lagrangian bound for manytomany assignment pro

Authors: Igor Litvinchev Socorro Rangel Jania Saucedo
Publish Date: 2008/12/02
Volume: 19, Issue: 3, Pages: 241-257
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Abstract

A simple procedure to tighten the Lagrangian bounds is proposed The approach is interpreted in two ways First it can be seen as a reformulation of the original problem aimed to split the resulting Lagrangian problem into two subproblems Second it can be considered as a search for a tighter estimation of the penalty term arising in the Lagrangian problem The new bounds are illustrated by a small example and studied numerically for a class of the generalized assignment problems


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