A Lagrangian relaxation approach for stochastic distribution network design
Identifieur interne : 005825 ( Main/Exploration ); précédent : 005824; suivant : 005826A Lagrangian relaxation approach for stochastic distribution network design
Auteurs : Guy Aime Tanonkou [France] ; Lyes Benyoucef [France] ; Xiaolan Xie [France]Source :
English descriptors
Abstract
This paper addresses the design of a distribution network in which a single supplier ships products to a set of retailers facing random demands via a set of distribution centers. Distribution centers are not known a priori and are to be located at a set of retailer locations. Decisions include: retailer locations to be selected as distribution centers, assignment of retailers to the distribution centers, and inventory to keep at each distribution center. The goal is to minimize the total location, shipment, and inventory costs, while ensuring a given retailer service level. A Lagrangian relaxation heuristic is proposed. Computation results show the effectiveness of the proposed heuristic and the duality gap is less than 1.5% in all tested problem instances.
Url:
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
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Le document en format XML
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type="direct"></relation></listRelation></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Université Nancy 2</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Institut national polytechnique de Lorraine</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName></affiliation></author><author><name sortKey="Xie, Xiaolan" sort="Xie, Xiaolan" uniqKey="Xie X" first="Xiaolan" last="Xie">Xiaolan Xie</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-2353" status="OLD"><idno type="RNSR">199921393M</idno><orgName>Industrial system modeling, analysis and operation</orgName><orgName type="acronym">MACSI</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.inria.fr/equipes/macsi</ref></desc><listRelation><relation active="#struct-160" type="direct"></relation><relation name="UMR7503" active="#struct-441569" type="indirect"></relation><relation active="#struct-300009" type="indirect"></relation><relation active="#struct-300291" type="indirect"></relation><relation active="#struct-300292" type="indirect"></relation><relation active="#struct-300293" type="indirect"></relation><relation active="#struct-2496" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-160" type="direct"><org type="laboratory" xml:id="struct-160" status="OLD"><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName><orgName type="acronym">LORIA</orgName><desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.loria.fr</ref></desc><listRelation><relation name="UMR7503" active="#struct-441569" type="direct"></relation><relation active="#struct-300009" type="direct"></relation><relation active="#struct-300291" type="direct"></relation><relation active="#struct-300292" type="direct"></relation><relation active="#struct-300293" type="direct"></relation></listRelation></org></tutelle><tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle><tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName><orgName type="acronym">Inria</orgName><desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/en/</ref></desc></org></tutelle><tutelle active="#struct-300291" type="indirect"><org type="institution" xml:id="struct-300291" status="OLD"><orgName>Université Henri Poincaré - Nancy 1</orgName><orgName type="acronym">UHP</orgName><date type="end">2011-12-31</date><desc><address><addrLine>24-30 rue Lionnois, BP 60120, 54 003 NANCY cedex, France</addrLine><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300292" type="indirect"><org type="institution" xml:id="struct-300292" status="OLD"><orgName>Université Nancy 2</orgName><date type="end">2011-12-31</date><desc><address><addrLine>91 avenue de la Libération, BP 454, 54001 Nancy cedex</addrLine><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300293" type="indirect"><org type="institution" xml:id="struct-300293" status="OLD"><orgName>Institut National Polytechnique de Lorraine</orgName><orgName type="acronym">INPL</orgName><date type="end">2011-12-31</date><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-2496" type="direct"><org type="laboratory" xml:id="struct-2496" status="OLD"><orgName>INRIA Lorraine</orgName><desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref></desc><listRelation><relation active="#struct-300009" type="direct"></relation></listRelation></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Université Nancy 2</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Institut national polytechnique de Lorraine</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Lagrangian relaxation</term><term>Supply chain design</term><term>facility location</term><term>optimization</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">This paper addresses the design of a distribution network in which a single supplier ships products to a set of retailers facing random demands via a set of distribution centers. Distribution centers are not known a priori and are to be located at a set of retailer locations. Decisions include: retailer locations to be selected as distribution centers, assignment of retailers to the distribution centers, and inventory to keep at each distribution center. The goal is to minimize the total location, shipment, and inventory costs, while ensuring a given retailer service level. A Lagrangian relaxation heuristic is proposed. Computation results show the effectiveness of the proposed heuristic and the duality gap is less than 1.5% in all tested problem instances.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Nancy 2</li><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Tanonkou, Guy Aime" sort="Tanonkou, Guy Aime" uniqKey="Tanonkou G" first="Guy Aime" last="Tanonkou">Guy Aime Tanonkou</name></region><name sortKey="Benyoucef, Lyes" sort="Benyoucef, Lyes" uniqKey="Benyoucef L" first="Lyes" last="Benyoucef">Lyes Benyoucef</name><name sortKey="Xie, Xiaolan" sort="Xie, Xiaolan" uniqKey="Xie X" first="Xiaolan" last="Xie">Xiaolan Xie</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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