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Nonconvex Optimization and Its Applications

Robust Discrete Optimization and Its Applications

Authors: Kouvelis, Panos, Gang Yu

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About this book

This book deals with decision making in environments of significant data un­ certainty, with particular emphasis on operations and production management applications. For such environments, we suggest the use of the robustness ap­ proach to decision making, which assumes inadequate knowledge of the decision maker about the random state of nature and develops a decision that hedges against the worst contingency that may arise. The main motivating factors for a decision maker to use the robustness approach are: • It does not ignore uncertainty and takes a proactive step in response to the fact that forecasted values of uncertain parameters will not occur in most environments; • It applies to decisions of unique, non-repetitive nature, which are common in many fast and dynamically changing environments; • It accounts for the risk averse nature of decision makers; and • It recognizes that even though decision environments are fraught with data uncertainties, decisions are evaluated ex post with the realized data. For all of the above reasons, robust decisions are dear to the heart of opera­ tional decision makers. This book takes a giant first step in presenting decision support tools and solution methods for generating robust decisions in a variety of interesting application environments. Robust Discrete Optimization is a comprehensive mathematical programming framework for robust decision making.

Reviews

`....I recommend the book, which in large parts is easy to read, as a consistent and interesting entry into the field of robust optimization.'
OR Spektrum, 20:278 (1998)

Table of contents (9 chapters)

  • Approaches for Handling Uncertainty in Decision Making

    Kouvelis, Panos (et al.)

    Pages 1-25

  • A Robust Discrete Optimization Framework

    Kouvelis, Panos (et al.)

    Pages 26-73

  • Computational Complexity Results of Robust Discrete Optimization Problems

    Kouvelis, Panos (et al.)

    Pages 74-115

  • Easily Solvable Cases of Robust Discrete Optimization Problems

    Kouvelis, Panos (et al.)

    Pages 116-152

  • Algorithmic Developments for Difficult Robust Discrete Optimization Problems

    Kouvelis, Panos (et al.)

    Pages 153-192

Buy this book

eBook $269.00
price for USA in USD (gross)
  • ISBN 978-1-4757-2620-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $349.99
price for USA in USD
  • ISBN 978-0-7923-4291-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $349.99
price for USA in USD
  • ISBN 978-1-4419-4764-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Robust Discrete Optimization and Its Applications
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
14
Copyright
1997
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-2620-6
DOI
10.1007/978-1-4757-2620-6
Hardcover ISBN
978-0-7923-4291-5
Softcover ISBN
978-1-4419-4764-2
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XVI, 358
Topics