| Bi-Level Strategies in Semi-Infinite Programming 2003 Edition Contributor(s): Stein, Oliver (Author) |
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ISBN: 1402075677 ISBN-13: 9781402075674 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: August 2003 Annotation: This is the first book that exploits the bi-level structure of semi-infinite programming systematically. It highlights topological and structural aspects of general semi-infinite programming, formulates powerful optimality conditions, which take this structure into account, and gives a conceptually new bi-level solution method. The results are motivated and illustrated by a number of problems from engineering and economics that give rise to semi-infinite models, including (reverse) Chebyshev approximation, minimax problems, robust optimization, design centering, defect minimization problems for operator equations, and disjunctive programming. Audience: The book is suitable for graduate students and researchers in the fields of optimization and operations research. |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Mathematics | Applied - Mathematics | Calculus |
| Dewey: 519.72 |
| LCCN: 2003054677 |
| Series: Nonconvex Optimization and Its Applications |
| Physical Information: 0.77" H x 6.24" W x 9.72" (1.19 lbs) 202 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |