Foundations of Bilevel Programming

Language: English

Published by Springer, Springer Mai 2002, 2002

1402006314 / 9781402006319

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 324 pp. Englisch.

Seller Inventory # 9781402006319

Title
Foundations of Bilevel Programming
Author
Stephan Dempe
Publisher
Springer, Springer Mai 2002
Publication year
2002
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1402006314
ISBN 13
9781402006319
Item weight
653 grams
Dimensions
241x160x22 mm

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