Lecture Notes in Economics and Mathematical Systems

Dynamic Stochastic Optimization

Editors: Marti, Kurt, Ermoliev, Yuri, Pflug, Georg Ch. (Eds.)

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About this book

Uncertainties and changes are pervasive characteristics of modern systems involving interactions between humans, economics, nature and technology. These systems are often too complex to allow for precise evaluations and, as a result, the lack of proper management (control) may create significant risks. In order to develop robust strategies we need approaches which explic­ itly deal with uncertainties, risks and changing conditions. One rather general approach is to characterize (explicitly or implicitly) uncertainties by objec­ tive or subjective probabilities (measures of confidence or belief). This leads us to stochastic optimization problems which can rarely be solved by using the standard deterministic optimization and optimal control methods. In the stochastic optimization the accent is on problems with a large number of deci­ sion and random variables, and consequently the focus ofattention is directed to efficient solution procedures rather than to (analytical) closed-form solu­ tions. Objective and constraint functions of dynamic stochastic optimization problems have the form of multidimensional integrals of rather involved in­ that may have a nonsmooth and even discontinuous character - the tegrands typical situation for "hit-or-miss" type of decision making problems involving irreversibility ofdecisions or/and abrupt changes ofthe system. In general, the exact evaluation of such functions (as is assumed in the standard optimization and control theory) is practically impossible. Also, the problem does not often possess the separability properties that allow to derive the standard in control theory recursive (Bellman) equations.

Table of contents (16 chapters)

  • Reflections on Output Analysis for Multistage Stochastic Linear Programs

    Dupačová, Jitka

    Pages 3-20

    Preview Buy Chapter 30,19 €
  • Modeling Support for Multistage Recourse Problems

    Kall, Peter (et al.)

    Pages 21-41

    Preview Buy Chapter 30,19 €
  • Optimal Solutions for Undiscounted Variance Penalized Markov Decision Chains

    Sladký, Karel (et al.)

    Pages 43-66

    Preview Buy Chapter 30,19 €
  • Approximation and Optimization for Stochastic Networks

    Granger, Julien (et al.)

    Pages 67-79

    Preview Buy Chapter 30,19 €
  • Optimal Stopping Problem and Investment Models

    Arkin, Vadim I. (et al.)

    Pages 83-98

    Preview Buy Chapter 30,19 €

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-642-55884-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-540-40506-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Dynamic Stochastic Optimization
Editors
  • Kurt Marti
  • Yuri Ermoliev
  • Georg Ch. Pflug
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
532
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-55884-9
DOI
10.1007/978-3-642-55884-9
Softcover ISBN
978-3-540-40506-1
Series ISSN
0075-8442
Edition Number
1
Number of Pages
VIII, 336
Topics