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A chance‐constrained distribution problem

A chance‐constrained distribution problem The transportation model with supplies (Si) and demands (Di) treated as bounded variables developed by Charnes and Klingman is extended to the case where the Si and Di are independently and uniformly distributed random variables. Chance constraints which require that demand at the jth destination will be satisfied with probability at least βi and that stockout at the ith origin will occur with probability less than αi are imposed. Conversion of the chance constraints to their linear equivalents results in a transportation problem with one more row and column than the original with some of the new arcs capacitated. The chance‐constrained formulation is extended to the transshipment problem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Naval Research Logistics: An International Journal Wiley

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References (25)

Publisher
Wiley
Copyright
Copyright © 1977 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0894-069X
eISSN
1520-6750
DOI
10.1002/nav.3800240104
Publisher site
See Article on Publisher Site

Abstract

The transportation model with supplies (Si) and demands (Di) treated as bounded variables developed by Charnes and Klingman is extended to the case where the Si and Di are independently and uniformly distributed random variables. Chance constraints which require that demand at the jth destination will be satisfied with probability at least βi and that stockout at the ith origin will occur with probability less than αi are imposed. Conversion of the chance constraints to their linear equivalents results in a transportation problem with one more row and column than the original with some of the new arcs capacitated. The chance‐constrained formulation is extended to the transshipment problem.

Journal

Naval Research Logistics: An International JournalWiley

Published: Mar 1, 1977

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