A hybrid Benders' decomposition method for solving stochastic constraint programs with linear recourse

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12 Citations (Scopus)

Abstract

We adopt Benders' decomposition algorithm to solve scenario-based Stochastic Constraint Programs (SCPs) with linear recourse. Rather than attempting to solve SCPs via a monolithic model, we show that one can iteratively solve a collection of smaller sub-problems and arrive at a solution to the entire problem. In this approach, decision variables corresponding to the initial stage and linear recourse actions are grouped into two sub-problems. The sub-problem corresponding to the recourse action further decomposes into independent problems, each of which is a representation of a single scenario. Our computational experience on stochastic versions of the well-known template design and warehouse location problems shows that, for linear recourse SCPs, Benders' decomposition algorithm provides a very efficient solution method.

Original languageEnglish
Title of host publicationRecent Advances in Constraints - Joint ERCIM/CoLogNET International Workshop on Constraint Solving and Constraint Logic Programming, CSCLP 2005, Revised Selected and Invited Papers
PublisherSpringer Verlag
Pages133-148
Number of pages16
ISBN (Print)354034215X, 9783540342151
DOIs
Publication statusPublished - 2006
Externally publishedYes
EventJoint ERCIM/CoLogNET International Workshop on Constraint Solving and Constraint Logic Programming, CSCLP 2005 - Uppsala, Sweden
Duration: 20 Jun 200522 Jun 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3978 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceJoint ERCIM/CoLogNET International Workshop on Constraint Solving and Constraint Logic Programming, CSCLP 2005
Country/TerritorySweden
CityUppsala
Period20/06/0522/06/05

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