Constrained Global Optimization: Algorithms and Applications

J. Ben Rosen, Panos M. Pardalos

ISBN 10: 3540180958 / ISBN 13: 9783540180951

Editore: Springer Berlin Heidelberg, 1987

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Zustand: Gut | Sprache: Englisch | Produktart: Bücher.

Codice articolo 24746202/203

Dati bibliografici

• Titolo: Constrained Global Optimization: Algorithms and Applications
• Editore: Springer Berlin Heidelberg
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 3540180958
• ISBN 13: 9783540180951
• Rilegatura: Brossura
• Condizione: Gut

Descrizione articolo

Riassunto

Global optimization is concerned with the characterization and computation of global minima or maxima of nonlinear functions. Such problems are widespread in mathematical modeling of real world systems for a very broad range of applications. The applications include economies of scale, fixed charges, allocation and location problems, quadratic assignment and a number of other combinatorial optimization problems. More recently it has been shown that certain aspects of VLSI chip design and database problems can be formulated as constrained global optimization problems with a quadratic objective function. Although standard nonlinear programming algorithms will usually obtain a local minimum to the problem , such a local minimum will only be global when certain conditions are satisfied (such as f and K being convex).

Contenuti

Convex sets and functions.- Optimality conditions in nonlinear programming.- Combinatorial optimization problems that can be formulated as nonconvex quadratic problems.- Enumerative methods in nonconvex programming.- Cutting plane methods.- Branch and bound methods.- Bilinear programming methods for nonconvex quadratic problems.- Large scale problems.- Global minimization of indefinite quadratic problems.- Test problems for global nonconvex quadratic programming algorithms.