Nonlinear Discrete Optimization

An Algorithmic Theory

von Shmuel Onn

147 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Zurich Lectures in Advanced Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Kombinatorik und Graphentheorie
• ISBN: 9783037190937
• Sprache: Englisch
• Erscheinungsdatum: 01.09.2010
• Größe: 24 x 17 cm
• Verlag: EMS Press