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Nonconvex Optimization and Its Applications

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Theory, Applications and Numerical Results

Authors: Outrata, Jiri, Kocvara, M., Zowe, J.

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About this book

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $169.00
price for USA in USD
  • ISBN 978-1-4757-2825-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-7923-5170-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
Softcover $219.99
price for USA in USD
  • ISBN 978-1-4419-4804-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
Book Subtitle
Theory, Applications and Numerical Results
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
28
Copyright
1998
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-1-4757-2825-5
DOI
10.1007/978-1-4757-2825-5
Hardcover ISBN
978-0-7923-5170-2
Softcover ISBN
978-1-4419-4804-5
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XXII, 274
Topics

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