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Theory of linear and integer programming

Author: Alexander Schrijver
Publisher: Chichester [u.a.] : Wiley, 2000.
Series: Wiley-Interscience series in discrete mathematics and optimization.; Wiley-Interscience publication.
Edition/Format:   Print book : English : ReprintedView all editions and formats
Summary:
Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen. Theory  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alexander Schrijver
ISBN: 0471982326 9780471982326
OCLC Number: 247967491
Notes: Literaturverz. S. 381 - 450.
Awards: Winner of INFORMS Frederick W. Lanchester Prize 1986
Description: XI, 471 S : graph. Darst ; 23 cm.
Contents: Introduction and Preliminaries. Problems, Algorithms, and Complexity. LINEAR ALGEBRA. Linear Algebra and Complexity. LATTICES AND LINEAR DIOPHANTINE EQUATIONS. Theory of Lattices and Linear Diophantine Equations. Algorithms for Linear Diophantine Equations. Diophantine Approximation and Basis Reduction. POLYHEDRA, LINEAR INEQUALITIES, AND LINEAR PROGRAMMING. Fundamental Concepts and Results on Polyhedra, Linear Inequalities, and Linear Programming. The Structure of Polyhedra. Polarity, and Blocking and Anti-Blocking Polyhedra. Sizes and the Theoretical Complexity of Linear Inequalities and Linear Programming. The Simplex Method. Primal-Dual, Elimination, and Relaxation Methods. Khachiyan's Method for Linear Programming. The Ellipsoid Method for Polyhedra More Generally. Further Polynomiality Results in Linear Programming. INTEGER LINEAR PROGRAMMING. Introduction to Integer Linear Programming. Estimates in Integer Linear Programming. The Complexity of Integer Linear Programming. Totally Unimodular Matrices: Fundamental Properties and Examples. Recognizing Total Unimodularity. Further Theory Related to Total Unimodularity. Integral Polyhedra and Total Dual Integrality. Cutting Planes. Further Methods in Integer Linear Programming. References. Indexes.
Series Title: Wiley-Interscience series in discrete mathematics and optimization.; Wiley-Interscience publication.
Responsibility: Alexander Schrijver.

Abstract:

Awarded INFORMS 1986 Lanchester Prize for outstanding contribution to the field of mathematical programming. Linear programming is a form of optimization. Optimization is a method in discrete  Read more...

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"...a comprehensive exposition of the theory of linear and integer programming...complementing the more practically oriented books." (Zentralblatt MATH, Vol. 970, 2001/20)

 
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