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

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 bas...

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Vydané v:Management science Ročník 50; číslo 6; s. 786 - 796
Hlavní autori: Lulli, Guglielmo, Sen, Suvrajeet
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Linthicum INFORMS 01.06.2004
Institute for Operations Research and the Management Sciences
Edícia:Management Science
Predmet:
Algorithms
Batch processing
batch sizing
branch-and-price algorithm
Business studies
Integer programming
Management science
Mathematical models
Prices
Programming
Stochastic processes
stochastic programming
Studies
ISSN:0025-1909, 1526-5501
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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.
AbstractList 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. [PUBLICATION 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.
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 batchsizing 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. Key words: stochastic programming; integer programming; batch sizing; branch-and-price algorithm
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 batchsizing 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.
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. Reprinted by permission of the Institute for Operations Research and Management Science (INFORMS)
Audience Trade
Academic
Author Lulli, Guglielmo
Sen, Suvrajeet
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– volume-title: Handbook in Operations Research and Management Science: Networks
  year: 1995
  ident: B10
SSID ssj0007876
Score 2.1430812
Snippet In this paper, we present a branch-and-price method to solve special structured multistage stochastic integer programming problems. We validate our method on...
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StartPage 786
SubjectTerms Algorithms
Batch processing
batch sizing
branch-and-price algorithm
Business studies
Integer programming
Management science
Mathematical models
Prices
Programming
Stochastic processes
stochastic programming
Studies
Title A Branch-and-Price Algorithm for Multistage Stochastic Integer Programming with Application to Stochastic Batch-Sizing Problems
URI http://mansci.journal.informs.org/cgi/content/abstract/50/6/786
http://econpapers.repec.org/article/inmormnsc/v_3a50_3ay_3a2004_3ai_3a6_3ap_3a786-796.htm
https://www.proquest.com/docview/213255329
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Volume 50
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