International Series in Operations Research & Management Science

Linear Programming

Foundations and Extensions

Authors: Vanderbei, Robert J.

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  • Complete updating of bestselling text in the field
  • Includes online chapter problems at author website
  • Significant new material about the average-case behavior of the various algorithms covered
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About this Textbook

This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications.

Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises.

About the authors

Robert J. Vanderbei is Professor of Operations Research and Financial Engineering, and Department Chair, OR and Financial Engineering at Princeton University. His research interests are in algorithms for nonlinear optimization and their application to problems arising in engineering and science. Application areas of interest focus mainly on inverse Fourier transform optimization problems and action minimization problems with a special interest in applying these techniques to the design of NASA’s terrestrial planet finder space telescope.

Reviews

“Technically, this is a graduate text, though it can be taught to seniors. ... One of the things that makes Vanderbei’s book so valuable is that he may be the best writer in his area. His writing is very clear and there is generous use of figures and diagrams. ... A two-book library consisting of Cottle and Thapa [2017] and Vanderbei at the graduate level should cover the needs of any graduate student interested in LP.” (The UMAP Journal, Vol. 41 (1), 2020)


Table of contents (26 chapters)

Table of contents (26 chapters)

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-1-4614-7630-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
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Bibliographic Information

Bibliographic Information
Book Title
Linear Programming
Book Subtitle
Foundations and Extensions
Authors
Series Title
International Series in Operations Research & Management Science
Series Volume
196
Copyright
2014
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-7630-6
DOI
10.1007/978-1-4614-7630-6
Series ISSN
0884-8289
Edition Number
4
Number of Pages
XXII, 414
Number of Illustrations
86 b/w illustrations
Topics