Bi-Level Strategies in Semi-Infinite Programming

Oliver Stein

ISBN 10: 1402075677 / ISBN 13: 9781402075674

Published by Springer US, Springer New York, 2003

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781402075674

Bibliographic Details

• Title: Bi-Level Strategies in Semi-Infinite Programming
• Publisher: Springer US, Springer New York
• Publication Date: 2003
• Language: English
• ISBN 10: 1402075677
• ISBN 13: 9781402075674
• Binding: Buch
• Condition: Neu

About this title

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.

Review

From the reviews:

"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)