Multistage Stochastic Optimization

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Multistage stochastic optimization problems appear in many ways in finance, insurance, energy production and trading, logistics and transportation, among other areas. They describe decision situations under uncertainty and with a longer planning horizon. This book contains a comprehensive treatment of today’s state of the art in multistage stochastic optimization. It covers the mathematical backgrounds of approximation theory as well as numerous practical algorithms and examples for the generation and handling of scenario trees. A special emphasis is put on estimation and bounding of the modeling error using novel distance concepts, on time consistency and the role of model ambiguity in the decision process. An extensive treatment of examples from electricity production, asset liability management and inventory control concludes the book.

Author(s): Georg Ch. Pflug, Alois Pichler (auth.)
Series: Springer Series in Operations Research and Financial Engineering
Edition: 1
Publisher: Springer International Publishing
Year: 2014

Language: English
Pages: 301
Tags: Operation Research/Decision Theory; Operations Research, Management Science; Optimization

Front Matter....Pages i-xiv
Introduction....Pages 1-39
The Nested Distance....Pages 41-93
Risk and Utility Functionals....Pages 95-123
From Data to Models....Pages 125-173
Time Consistency....Pages 175-208
Approximations and Bounds....Pages 209-228
The Problem of Ambiguity in Stochastic Optimization....Pages 229-255
Examples....Pages 257-273
Back Matter....Pages 275-301