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-inf...
New York, NY :
Springer US : Imprint: Springer,
|Edition:||1st ed. 2003.|
|Series:||Nonconvex Optimization and Its Applications,
Springer eBook Collection.
|Online Access:||Click to view e-book|
|Holy Cross Note:||Loaded electronically.|
Electronic access restricted to members of the Holy Cross Community.
|Summary:||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.|
|Physical Description:||XXVIII, 202 p. online resource.|