The One-Period N-Location Distribution Problem: I.

Abstract

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 for large problems but the exact solution for small problems can be obtained. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
AD0787085

Entities

People

  • Nitin R. Patel

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Transportation

Fields of Study

  • Mathematics

Readers

  • Logistics and Supply Chain Management.
  • Operations Research