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Nonlinear Discrete Optimization = An...

Onn, Shmuel,

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Nonlinear Discrete Optimization = An Algorithmic Theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear Discrete Optimization/ Shmuel Onn
Reminder of title:	An Algorithmic Theory /
Author:	Onn, Shmuel,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2010,
Description:	1 online resource (147 pages)
Subject:	Linear programming -
Online resource:	https://doi.org/10.4171/093
Online resource:	https://www.ems-ph.org/img/books/onn_mini.jpg
ISBN:	9783037195932

Nonlinear Discrete Optimization = An Algorithmic Theory /
Onn, Shmuel,

Nonlinear Discrete OptimizationAn Algorithmic Theory /[electronic resource] :Shmuel Onn - Zuerich, Switzerland :European Mathematical Society Publishing House,2010 - 1 online resource (147 pages) - Zurich Lectures in Advanced Mathematics (ZLAM).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037195932

Standard No.: 10.4171/093doiSubjects--Topical Terms:

883771
Linear programming

Nonlinear Discrete Optimization = An Algorithmic Theory /
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520 $a 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.
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