Lagrangean Heuristic for a Multi-Plant Lot-Sizing Problem with Transfer and Storage Capacities
RAIRO - Operations Research - Recherche Opérationnelle, Volume 47 (2013) no. 4, pp. 429-443.

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.

DOI: 10.1051/ro/2013050
Classification: 90B05
Keywords: lot-sizing, multi-plant, storage and transfer capacity, facility location, multi-commodity flow, lagrangean relaxation
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     author = {Deleplanque, Samuel and Kedad-Sidhoum, Safia and Quilliot, Alain},
     title = {Lagrangean {Heuristic} for a {Multi-Plant} {Lot-Sizing} {Problem} with {Transfer} and {Storage} {Capacities}},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {429--443},
     publisher = {EDP-Sciences},
     volume = {47},
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     year = {2013},
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Deleplanque, Samuel; Kedad-Sidhoum, Safia; Quilliot, Alain. Lagrangean Heuristic for a Multi-Plant Lot-Sizing Problem with Transfer and Storage Capacities. RAIRO - Operations Research - Recherche Opérationnelle, Volume 47 (2013) no. 4, pp. 429-443. doi : 10.1051/ro/2013050. http://archive.numdam.org/articles/10.1051/ro/2013050/

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