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Linear Programming: Foundations and Extensions

Publisher: 
Springer
Number of Pages: 
414
Price: 
219.00
ISBN: 
9781461476290

See our review of the third edition. Aside from the usual small changes and improvements, this edition includes some new material on the average performance of the simplex method.

Date Received: 
Thursday, August 15, 2013
Reviewable: 
Include In BLL Rating: 
Robert J. Vanderbei
Series: 
International Series in Operations Research & Management Science 4
Publication Date: 
2013
Format: 
Hardcover
Category: 
Textbook
Fernando Q. Gouvêa
08/15/2013

Preface. Part 1: Basic Theory - The Simplex Method and Duality. 1. Introduction. 2. The Simplex Method. 3. Degeneracy. 4. Efficiency of the Simplex Method. 5. Duality Theory. 6. The Simplex Method in Matrix Notation. 7. Sensitivity and Parametric Analyses. 8. Implementation Issues. 9. Problems in General Form. 10. Convex Analysis. 11. Game Theory. 12. Regression. Part 2: Network-Type Problems. 13. Network Flow Problems. 14. Applications. 15. Structural Optimization. Part 3: Interior-Point Methods. 16. The Central Path. 17. A Path-Following Method. 18. The KKT System. 19. Implementation Issues. 20. The Affine-Scaling Method. 21. The Homogeneous Self-Dual Method. Part 4: Extensions. 22. Integer Programming. 23. Quadratic Programming. 24. Convex Programming. Appendix A: Source Listings. Answers to Selected Exercises. Bibliography. Index.

Publish Book: 
Modify Date: 
Thursday, August 15, 2013

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