Buch, Englisch, 147 Seiten, PB, Format (B × H): 170 mm x 240 mm
An Algorithmic Theory
Buch, Englisch, 147 Seiten, PB, Format (B × H): 170 mm x 240 mm
Reihe: Zurich Lectures in Advanced Mathematics
ISBN: 978-3-03719-093-7
Verlag: EMS Press
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.
Zielgruppe
The monograph is intended for graduate students and researchers. It is accessible to anyone with standard undergraduate knowledge and mathematical maturity.
