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Lagrangean Heuristic for a Multi-Plant Lot-Sizing Problem with Transfer and Storage Capacities

Published online by Cambridge University Press:  29 November 2013

Samuel Deleplanque ,
Safia Kedad-Sidhoum  and
Alain Quilliot
Samuel Deleplanque
Affiliation:
LIMOS, Bat. ISIMA, Université Blaise Pascal, Campus des Cézeaux, BP 125, 63173 Aubiere . deleplanque.samuel@gmail.com
Safia Kedad-Sidhoum
Affiliation:
LIP6, Université Paris 6, 4 place Jussieu 75252 Paris Cedex 05 
Alain Quilliot
Affiliation:
LIMOS, Bat. ISIMA, Université Blaise Pascal, Campus des Cézeaux, BP 125, 63173 Aubiere . deleplanque.samuel@gmail.com
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Abstract

The paper addresses a multi-item, multi-plant lot-sizing problem with transfer costs and capacity constraints. The problem is reformulated according to a multi-commodity flow formalism, and decomposed, through Lagrangean relaxation, into a master facility location problem and a slave minimal cost multi-commodity flow problem. The decomposition framework gives rise in a natural way to designing a Lagrangean based heuristic. Numerical experiments showing the efficiency of the proposed approach are reported.

Keywords

Lot-sizingmulti-plantstorage and transfer capacityfacility locationmulti-commodity flowLagrangean relaxation
Type
Research Article
Information
RAIRO - Operations Research , Volume 47 , Issue 4: ROADEF 2012 , September 2013 , pp. 429 - 443
Copyright
© EDP Sciences, ROADEF, SMAI 2013

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