# Nonlinear discrete optimization : an algorithmic theory / Shmuel Onn.

##### By: Onn, Shmuel.

Material type: TextSeries: Zurich lectures in advanced mathematics: Publisher: Zurich, Switzerland : European Mathematical Society Publishing House, c2010Description: x, 137 p., E 32.00 ill. (some col.) ; 24 cm.ISBN: 9783037190937 (pbk.); 3037190930 (pbk.).Subject(s): Mathematical optimization | Nonlinear theoriesSummary: 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. --Book Jacket.Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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Book | Chennai Mathematical Institute General Stacks | 519.6 ONN (Browse shelf) | Available | 9103 |

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Includes bibliographical references (p. [129]-134) and index.

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. --Book Jacket.