Bi-Level Strategies in Semi-Infinite Programming / by Oliver Stein
(Nonconvex Optimization and Its Applications ; 71)
| データ種別 | 電子ブック |
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| 出版者 | Boston, MA : Springer US : Imprint: Springer |
| 出版年 | 2003 |
| 本文言語 | 英語 |
| 大きさ | XXVIII, 202 p : online resource |
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| 一般注記 | 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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| 著者標目 | *Stein, Oliver author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Computer mathematics LCSH:Convex geometry LCSH:Discrete geometry LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Mathematics FREE:Optimization FREE:Calculus of Variations and Optimal Control; Optimization FREE:Computational Mathematics and Numerical Analysis FREE:Convex and Discrete Geometry |
| 分 類 | DC23:519.6 |
| 巻冊次 | ISBN:9781441991645 
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| ISBN | 9781441991645 |
| URL | http://dx.doi.org/10.1007/978-1-4419-9164-5 |
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