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A Branch-and-Price Algorithm for Multistage Stochastic Integer Programming with Application to Stochastic Batch-Sizing Problems

Guglielmo Lulli () and Suvrajeet Sen ()
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Guglielmo Lulli: Department of Systems and Industrial Engineering, University of Arizona, Tucson, Arizona 85721-0020
Suvrajeet Sen: Department of Systems and Industrial Engineering, University of Arizona, Tucson, Arizona 85721-0020

Management Science, 2004, vol. 50, issue 6, 786-796

Abstract: In this paper, we present a branch-and-price method to solve special structured multistage stochastic integer programming problems. We validate our method on two different versions of a multistage stochastic batch-sizing problem (SBSP). One version adopts a recourse formulation, and the other is based on probabilistic constraints. Our algorithmic approach is applicable to both formulations. Our computational results suggest that both classes of problems can be solved using relatively few nodes of a branch-and-price tree. The success of our approach calls for extensions in methodology as well as applications.

Keywords: stochastic programming; integer programming; batch sizing; branch-and-price algorithm (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (48)

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