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Item Details
Title: BI-LEVEL STRATEGIES IN SEMI-INFINITE PROGRAMMING
By: Oliver Stein
Format: Hardback

List price: £109.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 1402075677
ISBN 13: 9781402075674
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 31 August, 2003
Edition: 2003 ed.
Series: Nonconvex Optimization and Its Applications 71
Pages: 202
Description: Exploits the bi-level structure of semi-infinite programming systematically. This book highlights topological and structural aspects of general semi-infinite programming, formulates optimality conditions, which take this structure into account, and gives a bi-level solution method.
Synopsis: 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.
Illustrations: XXVIII, 202 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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