Linear programming: foundations and extensions

By: Vanderbei, Robert J
Material type: TextTextSeries: International Series in Operations Research &​ Management SciencePublisher: New York Springer 2014Edition: 4rth edDescription: xxii, 414 p.ISBN: 9781461476290Subject(s): Linear programming | Mathematical optimization | Mathematics - Linear & Nonlinear ProgrammingDDC classification: 519.72 Summary: 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. (http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-7629-0)
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Slot 1682 (2 Floor, East Wing) Non-fiction 519.72 V2L4-2014 (Browse shelf) Available 182368

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.
(http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-7629-0)

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