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.
Mots-clés : lot-sizing, multi-plant, storage and transfer capacity, facility location, multi-commodity flow, lagrangean relaxation
@article{RO_2013__47_4_429_0, 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}, number = {4}, year = {2013}, doi = {10.1051/ro/2013050}, mrnumber = {3143762}, zbl = {1282.90027}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2013050/} }
TY - JOUR AU - Deleplanque, Samuel AU - Kedad-Sidhoum, Safia AU - Quilliot, Alain TI - Lagrangean Heuristic for a Multi-Plant Lot-Sizing Problem with Transfer and Storage Capacities JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2013 SP - 429 EP - 443 VL - 47 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2013050/ DO - 10.1051/ro/2013050 LA - en ID - RO_2013__47_4_429_0 ER -
%0 Journal Article %A Deleplanque, Samuel %A Kedad-Sidhoum, Safia %A Quilliot, Alain %T Lagrangean Heuristic for a Multi-Plant Lot-Sizing Problem with Transfer and Storage Capacities %J RAIRO - Operations Research - Recherche Opérationnelle %D 2013 %P 429-443 %V 47 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2013050/ %R 10.1051/ro/2013050 %G en %F RO_2013__47_4_429_0
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, Tome 47 (2013) no. 4, pp. 429-443. doi : 10.1051/ro/2013050. http://www.numdam.org/articles/10.1051/ro/2013050/
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