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The General N-Location Distribution Problem

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dc.creator Patel, Nitin R.
dc.creator Karmarkar, Uday S.
dc.date 2004-05-28T19:35:03Z
dc.date 2004-05-28T19:35:03Z
dc.date 1973-09
dc.date.accessioned 2013-10-09T02:39:14Z
dc.date.available 2013-10-09T02:39:14Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5349
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description This paper studies the one-period, general network distribution problem with linear costs. The approach is to decompose the problem into a transportation problem that represents a stocking decision, and decoupled newsboy problems that represent the realization of demand with the usual associated holding and shortage costs. This approach leads to a characterization of optimal policies in terms of the dual of the transportation problem. Specifically, it is shown that there is a correspondence between the optimal policies and the extreme points, edges, faces etc. of the dual feasible region. This method is not directly suitable for the solution of large problems but the exact solution for small problems can be obtained. It is shown that the three location case involves 37 policies as compared to seven for the two location case. For the numerical solutions of large problems, the problem has been formulated as a linear program with column generation. This latter approach is quite robust in the sense that it is easily extended to incorporate capacity constraints and the multiproduct case. Extensions of this work are briefly discussed.
dc.description Supported in part by the Office o Naval Research under contract 67-A-0204-0076
dc.format 1746 bytes
dc.format 1310205 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 024-73
dc.title The General N-Location Distribution Problem
dc.type Working Paper


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