Skip to main content
  • Book
  • © 2011

A Scenario Tree-Based Decomposition for Solving Multistage Stochastic Programs

With Application in Energy Production

Authors:

Part of the book series: Stochastic Programming (STPR)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
  2. Overview

    • Debora Mahlke
    Pages 1-3
  3. An Energy Production Problem

    • Debora Mahlke
    Pages 5-13
  4. Mathematical Modeling

    • Debora Mahlke
    Pages 15-38
  5. Primal Heuristics

    • Debora Mahlke
    Pages 57-76
  6. Algorithmic Implementation

    • Debora Mahlke
    Pages 95-124
  7. Computational Results

    • Debora Mahlke
    Pages 125-169
  8. Conclusions

    • Debora Mahlke
    Pages 171-173
  9. Back Matter

    Pages 175-183

About this book

Optimization problems involving uncertain data arise in many areas of industrial and economic applications. Stochastic programming provides a useful framework for modeling and solving optimization problems for which a probability distribution of the unknown parameters is available.
Motivated by practical optimization problems occurring in energy systems with regenerative energy supply, Debora Mahlke formulates and analyzes multistage stochastic mixed-integer models. For their solution, the author proposes a novel decomposition approach which relies on the concept of splitting the underlying scenario tree into subtrees. Based on the formulated models from energy production, the algorithm is computationally investigated and the numerical results are discussed.

About the author

Debora Mahlke received her Ph.D. in Mathematics from the Technische Universität Darmstadt where she currently works as a postdoctoral research associate.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access