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Stability, Approximation, and Decomposition in Two- and Multistage Stochastic Programming

Posted on 2010-06-21




Name:Stability, Approximation, and Decomposition in Two- and Multistage Stochastic Programming
ASIN/ISBN:3834809217
Publisher:Vieweg and Teubner 2009
Pages:168 Pages
File size:2 Mb
Publisher: Vieweg and Teubner 2009
Pages: 168 Pages
ISBN: 3834809217
File Type: PDF
File Size: 2 MB
   Stability, Approximation, and Decomposition in Two- and Multistage Stochastic Programming

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By Christian Küchler

Stochastic programming provides a framework for modeling, analyzing, and solving optimization problems with some parameters being not known up to a probability distribution. Such problems arise in a variety of applications, such as inventory control, financial planning and portfolio optimization, airline revenue management, scheduling and operation of power systems, and supply chain management. Christian Küchler studies various aspects of the stability of stochastic optimization problems as well as approximation and decomposition methods in stochastic programming. In particular, the author presents and extension of the Nested Benders decomposition algorithm related to the concept of recombining scenario trees. The approach combines the concept of cut sharing with a specific aggregation procedure and prevents an exponentially growing number of sub-problem evaluations. Convergence results and numerical properties are discussed.

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