Linear Programming Foundations and Extensions

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 optimi...

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Bibliographic Details
Main Author: Vanderbei, Robert J.
Format: eBook
Language:English
Published: New York, NY Springer US 2014, 2014
Edition:4th ed. 2014
Series:International Series in Operations Research & Management Science
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Linear Programming  |h Elektronische Ressource  |b Foundations and Extensions  |c by Robert J Vanderbei 
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505 0 |a 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 
653 |a Operations Research, Management Science 
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653 |a Management science 
653 |a Mathematical optimization 
653 |a Operations Research and Decision Theory 
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490 0 |a International Series in Operations Research & Management Science 
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520 |a 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