Theory of Linear and Integer Programming

Theory of Linear and Integer Programming
Author :
Publisher : John Wiley & Sons
Total Pages : 488
Release :
ISBN-10 : 0471982326
ISBN-13 : 9780471982326
Rating : 4/5 (326 Downloads)

Book Synopsis Theory of Linear and Integer Programming by : Alexander Schrijver

Download or read book Theory of Linear and Integer Programming written by Alexander Schrijver and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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


Theory of Linear and Integer Programming Related Books

Theory of Linear and Integer Programming
Language: en
Pages: 488
Authors: Alexander Schrijver
Categories: Mathematics
Type: BOOK - Published: 1998-06-11 - Publisher: John Wiley & Sons

GET EBOOK

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
Language: en
Pages: 231
Authors: Abdul Bari
Categories: Mathematics
Type: BOOK - Published: 2019-10-25 - Publisher: Cambridge Scholars Publishing

GET EBOOK

This book is primarily intended for undergraduate and postgraduate students of statistics, mathematics, operations research, and engineering. It provides the ba
Linear and Integer Programming
Language: en
Pages: 704
Authors: Gerard Sierksma
Categories: Business & Economics
Type: BOOK - Published: 1996 - Publisher: CRC Press

GET EBOOK

This unique reference/text details the theoretical and practical aspects of linear and integer programming - covering a wide range of subjects, including dualit
Linear Integer Programming
Language: en
Pages: 200
Authors: Elias Munapo
Categories: Computers
Type: BOOK - Published: 2021-12-06 - Publisher: Walter de Gruyter GmbH & Co KG

GET EBOOK

This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in r
Large Scale Linear and Integer Optimization: A Unified Approach
Language: en
Pages: 739
Authors: Richard Kipp Martin
Categories: Business & Economics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

This is a textbook about linear and integer linear optimization. There is a growing need in industries such as airline, trucking, and financial engineering to s