Document Type
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BL
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Record Number
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967783
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Doc. No
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b722153
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Main Entry
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Dempe, Stephan.
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Title & Author
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Foundations of bilevel programming /\ by Stephan Dempe.
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Publication Statement
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Dordrecht ;Boston :: Kluwer Academic,, ©2002.
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Series Statement
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Nonconvex optimization and its applications ;; v. 61
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Page. NO
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viii, 306 pages :: illustrations ;; 25 cm.
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ISBN
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1402006314
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: 9781402006319
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Bibliographies/Indexes
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Includes bibliographical references (pages 283-302) and index.
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Abstract
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"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."
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"Audience: Applied mathematicians and economists working in optimization, operations research, and economic modelling. Students interested in optimization will also find this book useful."--Jacket.
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Subject
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Mathematical optimization.
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Subject
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Programming (Mathematics)
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Subject
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Optimisation mathématique.
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Subject
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Programmation (Mathématiques)
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Subject
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Hierarchische Optimierung
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Subject
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Mathematical optimization.
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Subject
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Parametrische Optimierung
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Subject
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Programação hierárquica.
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Subject
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Programação matemática.
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Subject
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Programming (Mathematics)
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Dewey Classification
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519.7
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LC Classification
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T57.7.D46 2002
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NLM classification
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MAT 490fstub
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MAT 910fstub
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QH 424rvk
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