A chance‐constrained distribution problem
作者:
Richard M. Reese,
Andrew C. Stedry,
期刊:
Naval Research Logistics Quarterly
(WILEY Available online 1977)
卷期:
Volume 24,
issue 1
页码: 35-45
ISSN:0028-1441
年代: 1977
DOI:10.1002/nav.3800240104
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractThe transportation model with supplies (Si) and demands (Di) treated as bounded variables developed by Charnes and Klingman is extended to the case where theSiandDiare independently and uniformly distributed random variables. Chance constraints which require that demand at the jth destination will be satisfied with probability at least βiand that stockout at the ith origin will occur with probability less than αiare 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 prob
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