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Mathematics and Statistics

International Series in Operations Research & Management Science

Volume 114, 2008, DOI: 10.1007/978-0-387-74388-2

Linear Programming
Foundations and Extensions

Robert J. Vanderbei

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Contents
ESM

I-XIX
Front matter
3-222
Part 1 / Basic Theory—The Simplex Method and Duality
3-222
Front matter
3-11
Introduction
13-27
The Simplex Method
29-44
Degeneracy
45-54
Efficiency of the Simplex Method
55-87
Duality Theory
89-109
The Simplex Method in Matrix Notation
111-124
Sensitivity and Parametric Analyses
125-150
Implementation Issues
151-160
Problems in General Form
161-171
Convex Analysis
173-187
Game Theory
189-209
Regression
211-222
Financial Applications
225-286
Part 2 / Network-Type Problems
225-286
Front matter
225-252
Network Flow Problems
253-269
Applications
271-286
Structural Optimization
289-381
Part 3 / Interior-Point Methods
289-381
Front matter
289-301
The Central Path
303-318
A Path-Following Method
319-325
The KKT System
327-344
Implementation Issues
345-359
The Affine-Scaling Method
361-381
The Homogeneous Self-Dual Method
385-435
Part 4 / Extensions
385-435
Front matter
385-405
Integer Programming
407-423
Quadratic Programming
425-435
Convex Programming
437-465
Back matter

About This Book

Title

Linear Programming
Foundations and Extensions

Author

Robert J. Vanderbei(1)

Author Affiliations

Dept. of Operations Research and Financial Engineering, Princeton University, New Jersey, USA

Collection

Mathematics and Statistics

Subjects

Copyright Year

2008

DOI

10.1007/978-0-387-74388-2

ISBN

978-0-387-74387-5 (Print) 978-0-387-74388-2 (Online)

Additional Links

About This Book

Publisher

Springer US

SpringerLink Date

Tuesday, October 23, 2007

About This Book Series

Title: International Series in Operations Research & Management Science
Coverage: Volume 2 / 1995 - Volume 170 / 2012
Collection: Not Assigned
Subjects: None Assigned
ISSN: 0884-8289 (Print)
SpringerLink Date: Friday, March 17, 2006

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