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Foundations of Bilevel Programming
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Foundations of Bilevel Programming Hardback - 2002

by Stephan Dempe

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Bilevel programming problems are hierarchical optimization problems where the constraints of one problem (the so-called upper level problem) are defined in part by a second parametric optimization problem (the lower level problem). If the lower level problem has a unique optimal solution for all parameter values, this problem is equivalent to a one-level optimization problem having an implicitly defined objective function. Special emphasize in the book is on problems having non-unique lower level optimal solutions, the optimistic (or weak) and the pessimistic (or strong) approaches are discussed. The book starts with the required results in parametric nonlinear optimization. This is followed by the main theoretical results including necessary and sufficient optimality conditions and solution algorithms for bilevel problems. Stationarity conditions can be applied to the lower level problem to transform the optimistic bilevel programming problem into a one-level problem. Properties of the resulting problem are highlighted and its relation to the bilevel problem is investigated. Stability properties, numerical complexity, and problems having additional integrality conditions on the variables are also discussed.
Audience: Applied mathematicians and economists working in optimization, operations research, and economic modelling. Students interested in optimization will also find this book useful.

Details

  • Title Foundations of Bilevel Programming
  • Author Stephan Dempe
  • Binding Hardback
  • Edition 1st
  • Pages 309
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2002-05-31
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9781402006319 / 1402006314
  • Weight 1.39 lbs (0.63 kg)
  • Dimensions 9.21 x 6.14 x 0.75 in (23.39 x 15.60 x 1.91 cm)
  • Category Mathematics
  • Library of Congress subjects Mathematical optimization, Programming (Mathematics)
  • Library of Congress Catalogue Number 2002069409
  • Dewey Decimal Code 519.7

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Foundations of Bilevel Programming

Foundations of Bilevel Programming

by Stephan Dempe

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; Bilevel programming problems are hierarchical optimization problems where the constraints of one problem (the so-called upper level problem) are defined in part by a second parametric optimization problem (the lower level problem). If t
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Foundations of Bilevel Programming (Nonconvex Optimization and Its Applications, 61)
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Foundations of Bilevel Programming (Nonconvex Optimization and Its Applications, 61)

by Dempe, Stephan

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2002
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Springer, 2002-05-31. 2002. hardcover. New. 6.14x0.75x9.21. Buy with confidence. Excellent Customer Service & Return policy.
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Foundations of Bilevel Programming
Stock photo: cover may vary

Foundations of Bilevel Programming

by Stephan Dempe

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  • Hardback
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9781402006319 / 1402006314
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Springer , pp. 324 . Hardback. New.
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