Bi-Level Strategies in Semi-Infinite Programming (Hardcover) (ISBN-13: 9781402075674)

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.

Author: Oliver Stein
ISBN-10: 1402075677
ISBN-13: 9781402075674
Publisher: Springer
Language: English
Published: 08/31/2003
Pages: 202
Format: Hardcover
Weight: 1.19lbs
Size: 9.72h x 6.24w x 0.77d