Bi-Level Strategies in Semi-Infinite Programming

By Oliver Stein

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.

• Format: Paperback
• Language: English
• ISBN: 146134817X
• ISBN13: 9781461348177
• Release Date: November 2013
• Publisher: Springer
• Length: 202 Pages
• Weight: 0.74 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"