Nonlinear Discrete Optimization ; : An Algorithmic Theory

• Autore: Onn
• Pubblicazione: EMS Press, 2010
• Descrizione fisica: 1 online resource (147 pages)
• Soggetto topico: Linear programming; Operations research, mathematical programming; Combinatorics; Linear and multilinear algebra; matrix theory; Computer science
• Classificazione: 05Axx; 05Cxx; 05Dxx; 05Exx; 11Dxx; 11Hxx; 11Pxx; 13Pxx; 14Qxx; 15Axx; 15Bxx; 51Mxx; 52Axx; 52Bxx; 52Cxx; 62Hxx; 62Kxx; 62Qxx; 65Cxx; 68Qxx; 68Rxx; 68Wxx; 90Bxx; 90Cxx
• Sommario/riassunto: This monograph develops an algorithmic theory of nonlinear discrete optimization. It introduces a simple and useful setup which enables the polynomial time solution of broad fundamental classes of nonlinear combinatorial optimization and integer programming problems in variable dimension. An important part of this theory is enhanced by recent developments in the algebra of Graver bases. The power of the theory is demonstrated by deriving the first polynomial time algorithms in a variety of application areas within operations research and statistics, including vector partitioning, matroid optimization, experimental design, multicommodity flows, multi-index transportation and privacy in statistical databases. The monograph is intended for graduate students and researchers. It is accessible to anyone with standard undergraduate knowledge and mathematical maturity.
• Titolo autorizzato: Nonlinear Discrete Optimization
• ISBN: 3-03719-593-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910151931603321
• Lo trovi qui: Univ. Federico II