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.
Produkteigenschaften
- Artikelnummer: 9781402075674
- Medium: Buch
- ISBN: 978-1-4020-7567-4
- Verlag: Springer US
- Erscheinungstermin: 31.08.2003
- Sprache(n): Englisch
- Auflage: 2003
- Serie: Nonconvex Optimization and Its Applications
- Produktform: Gebunden
- Gewicht: 1120 g
- Seiten: 202
- Format (B x H x T): 160 x 241 x 18 mm
- Ausgabetyp: Kein, Unbekannt
Themen
- Mathematik | Informatik
- Mathematik
- Numerik und Wissenschaftliches Rechnen
- Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik
- Mathematik
- Numerik und Wissenschaftliches Rechnen
- Computeranwendungen in der Mathematik