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Linear programming [electronic resource] : foundations and extensions / Robert J. Vanderbei.

Vanderbei, Robert J.
2014
T57.74 .V36 2014eb
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Title
Linear programming [electronic resource] : foundations and extensions / Robert J. Vanderbei.
Author
Vanderbei, Robert J.
Edition
4th ed.
ISBN
9781461476306 electronic book
1461476305 electronic book
9781461476290
Publication Details
New York : Springer, c2014.
Language
English
Description
1 online resource : ill.
Call Number
T57.74 .V36 2014eb
Dewey Decimal Classification
519.6
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed July 25, 2013).
Series
International series in operations research & management science ; v.196.
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Introduction
The Simplex Method
Degeneracy
Efficiency of the Simplex Method
Duality Theory
The Simplex Method in Matrix Notation
Sensitivity and Parametric Analyses
Implementation Issues
Problems in General Form
Convex Analysis
Game Theory
Regression
Financial Applications
Network-Type Problems
Applications
Structural Optimization
The Central Path
A Path-Following Method
The KKT System
Implementation Issues
The Affine-Scaling Method
The Homogeneous Self-Dual Method
Integer Programming
Quadratic Programming
Convex Programming.

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