Nonconvex Optimization and Its Applications

Bi-Level Strategies in Semi-Infinite Programming

Authors: Stein, Oliver

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About this book

Semi-infinite optimization is a vivid field of active research. Recently semi­ infinite optimization in a general form has attracted a lot of attention, not only because of its surprising structural aspects, but also due to the large number of applications which can be formulated as general semi-infinite programs. The aim of this book is to highlight structural aspects of general semi-infinite programming, to formulate optimality conditions which take this structure into account, and to give a conceptually new solution method. In fact, under certain assumptions general semi-infinite programs can be solved efficiently when their bi-Ievel structure is exploited appropriately. After a brief introduction with some historical background in Chapter 1 we be­ gin our presentation by a motivation for the appearance of standard and general semi-infinite optimization problems in applications. Chapter 2 lists a number of problems from engineering and economics which give rise to semi-infinite models, including (reverse) Chebyshev approximation, minimax problems, ro­ bust optimization, design centering, defect minimization problems for operator equations, and disjunctive programming.

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"This is the first book which exploits the bilevel structure of semi-infinite programming systematically. It highlights topological and structural aspects of general semi-infinite programming, formulates powerful optimality conditions, and gives a conceptually new bilevel solution method. The book is addressed to graduate students and researchers who work in the fields of optimization and operations research." (Oliver Stein, Zentralblatt MATH, Vol. 1103 (5), 2007)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-1-4419-9164-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 124,79 €
price for Spain (gross)
Softcover 124,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Bi-Level Strategies in Semi-Infinite Programming
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
71
Copyright
2003
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4419-9164-5
DOI
10.1007/978-1-4419-9164-5
Hardcover ISBN
978-1-4020-7567-4
Softcover ISBN
978-1-4613-4817-7
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XXVIII, 202
Topics