Theory of Linear and Integer Programming (Wiley Series in Discrete Mathematics and Optimization)

Schrijver, Alexander

ISBN 10: 0471908541 / ISBN 13: 9780471908548

Published by Wiley, 1986

About this Item

The book is in good condition with all pages and cover intact, including the dust jacket if originally issued. The spine may show light wear. Pages may contain some notes or highlighting, and there might be a "From the library of" label. Boxed set packaging, shrink wrap, or included media like CDs may be missing.

Seller Inventory # BSM.13WHZ

Bibliographic Details

• Title: Theory of Linear and Integer Programming (Wiley Series in Discrete Mathematics and Optimization)
• Publisher: Wiley
• Publication Date: 1986
• Language: English
• ISBN 10: 0471908541
• ISBN 13: 9780471908548
• Binding: Hardcover
• Condition: good

About this title

Synopsis

Theory of Linear and Integer Programming Alexander Schrijver Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field. A special feature is the author's coverage of important recent developments in linear and integer programming. Applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. The book is intended for graduate students and researchers in operations research, mathematics and computer science. It will also be of interest to mathematical historians. Contents 1 Introduction and preliminaries; 2 Problems, algorithms, and complexity; 3 Linear algebra and complexity; 4 Theory of lattices and linear diophantine equations; 5 Algorithms for linear diophantine equations; 6 Diophantine approximation and basis reduction; 7 Fundamental concepts and results on polyhedra, linear inequalities, and linear programming; 8 The structure of polyhedra; 9 Polarity, and blocking and anti-blocking polyhedra; 10 Sizes and the theoretical complexity of linear inequalities and linear programming; 11 The simplex method; 12 Primal-dual, elimination, and relaxation methods; 13 Khachiyan's method for linear programming; 14 The ellipsoid method for polyhedra more generally; 15 Further polynomiality results in linear programming; 16 Introduction to integer linear programming; 17 Estimates in integer linear programming; 18 The complexity of integer linear programming; 19 Totally unimodular matrices: fundamental properties and examples; 20 Recognizing total unimodularity; 21 Further theory related to total unimodularity; 22 Integral polyhedra and total dual integrality; 23 Cutting planes; 24 Further methods in integer linear programming; Historical and further notes on integer linear programming; References; Notation index; Author index; Subject index

From the Publisher

Examines the theoretical and polyhedral approach to linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. Describes important recent developments in the field. Applications to combinatorial optimization are given with extensive historical surveys and bibliographies. References.