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Two stage linear programming under uncertainty with 0–1 integer first stage variables

Two stage linear programming under uncertainty with 0–1 integer first stage variables Stochastic programs with continuous variables are often solved using a cutting plane method similar to Benders' partitioning algorithm. However, mixed 0–1 integer programs are also solved using a similar procedure along with enumeration. This similarity is exploited in this paper to solve two stage linear programs under uncertainty where the first stage variables are 0–1. Such problems often arise in capital investment. A network investment application is given which includes as a special case a coal transportation problem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Programming Springer Journals

Two stage linear programming under uncertainty with 0–1 integer first stage variables

Mathematical Programming , Volume 19 (1) – Apr 13, 2005

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 1980 by The Mathematical Programming Society
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Mathematics of Computing; Numerical Analysis; Combinatorics; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics
ISSN
0025-5610
eISSN
1436-4646
DOI
10.1007/BF01581648
Publisher site
See Article on Publisher Site

Abstract

Stochastic programs with continuous variables are often solved using a cutting plane method similar to Benders' partitioning algorithm. However, mixed 0–1 integer programs are also solved using a similar procedure along with enumeration. This similarity is exploited in this paper to solve two stage linear programs under uncertainty where the first stage variables are 0–1. Such problems often arise in capital investment. A network investment application is given which includes as a special case a coal transportation problem.

Journal

Mathematical ProgrammingSpringer Journals

Published: Apr 13, 2005

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