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This title in other editions

Other titles in the Springer Series in Optimization and Its Applications series:

Springer Series in Optimization and Its Applications #2: Optimization with Multivalued Mappings: Theory, Applications and Algorithms

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Springer Series in Optimization and Its Applications #2: Optimization with Multivalued Mappings: Theory, Applications and Algorithms Cover

 

Synopses & Reviews

Publisher Comments:

In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications (e.g., the calibration of water supply systems), or the elaboration of new solution algorithms (e.g., smoothing methods). The book is divided into three parts. The focus in the first part is on bilevel programming. The chapters in the second part contain investigations of mathematical programs with equilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems.   Audience This book is intended for researchers, graduate students and practitioners in the fields of applied mathematics, operations research, and economics.

Synopsis:

This book focuses on the tremendous development that has taken place recently in the field of of nondifferentiable nonconvex optimization. Coverage includes the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the co-derivative of Mordukhovich), the opening of new applications (the calibration of water supply systems), and the elaboration of new solution algorithms (e.g., smoothing methods).

Synopsis:

In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications (e.g., the calibration of water supply systems), or the elaboration of new solution algorithms (e.g., smoothing methods).

The book is divided into three parts. The focus in the first part is on bilevel programming. The chapters in the second part contain investigations of mathematical programs with equilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems.

Table of Contents

From the contents

Preface.- Part I. Bilevel programming.- Optimality conditions for bilevel programming problems (Stephan Dempe, Vyatcheslav V. Kalashnikov and Nataliya Kalashnykova).- Path-based formulations of a bilevel toll setting problem (Mohamed Didi-Biha, Patrice Marcotte and Gilles Savard).- Bilevel programming with convex lower level problems.- (Joydeep Dutta and Stephan Dempe) Optimality criteria for bilevel programming problems using the radial subdifferential (D. Fanghänel).- On approximate mixed Nash equilibria and average marginal functions for two-stage three-players games (Lina Mallozzi and Jacqueline Morgan).- Part II. Mathematical Programs With Equilibrium Constraints.- A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints (Michael L. Flegel and Christian Kanzow).

Product Details

ISBN:
9780387342207
Author:
Dempe, Stephan
Publisher:
Springer
Editor:
Kalashnikov, Vyacheslav
Author:
Kalashnikov, Vyacheslav
Subject:
Linear Programming
Subject:
Game Theory
Subject:
Nonlinear programming
Subject:
Applied
Subject:
Calculus
Subject:
Bilevel programming
Subject:
Nonconvex programming.
Subject:
Nondifferentiable programming
Subject:
Optimality conditions
Subject:
Solution algorithms
Subject:
OPTIMIZATION
Subject:
Calculus of Variations and Optimal Control; Optimization Latest approaches and applications are discussed
Subject:
Mathematics-Computer
Subject:
Calculus of Variations and Optimal Control; Optimization
Copyright:
Edition Description:
Book
Series:
Springer Optimization and Its Applications
Series Volume:
2
Publication Date:
20060718
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
288
Dimensions:
235 x 155 mm 1290 gr

Related Subjects

Science and Mathematics » Chemistry » Analytical
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Computer
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Numeric Analysis

Springer Series in Optimization and Its Applications #2: Optimization with Multivalued Mappings: Theory, Applications and Algorithms New Hardcover
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$180.25 In Stock
Product details 288 pages Springer - English 9780387342207 Reviews:
"Synopsis" by , This book focuses on the tremendous development that has taken place recently in the field of of nondifferentiable nonconvex optimization. Coverage includes the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the co-derivative of Mordukhovich), the opening of new applications (the calibration of water supply systems), and the elaboration of new solution algorithms (e.g., smoothing methods).
"Synopsis" by , In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications (e.g., the calibration of water supply systems), or the elaboration of new solution algorithms (e.g., smoothing methods).

The book is divided into three parts. The focus in the first part is on bilevel programming. The chapters in the second part contain investigations of mathematical programs with equilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems.

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