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Other titles in the International Series in Operations Research & Management Science series:

International Series in Operations Research & Management Science #4: Linear Programming: Foundations and Extensions

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International Series in Operations Research & Management Science #4: Linear Programming: Foundations and Extensions Cover

 

Synopses & Reviews

Publisher Comments:

This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well. This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it. Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available: The two-phase simplex method The primal-dual simplex method The path-following interior-point method The homogeneous self-dual methods.£/LIST£.

Synopsis:

This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization.

Table of Contents

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.

Product Details

ISBN:
9780792381419
Author:
Vanderbei, Robert J.
Publisher:
Springer
Subject:
Linear Programming
Subject:
Operations Research
Subject:
Operations Research/Decision Theory
Subject:
Operations Research, Management Science
Subject:
Mathematical Modeling and Industrial Mathematics
Subject:
Mathematics-Computer
Subject:
Operation Research/Decision Theory
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
International Series in Operations Research & Management Science
Series Volume:
4
Publication Date:
19980331
Binding:
TRADE PAPER
Language:
English
Pages:
440
Dimensions:
235 x 155 mm 1350 gr

Related Subjects

Engineering » Engineering » General Engineering
Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Computer

International Series in Operations Research & Management Science #4: Linear Programming: Foundations and Extensions New Trade Paper
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$180.25 In Stock
Product details 440 pages Kluwer Academic Publishers - English 9780792381419 Reviews:
"Synopsis" by , This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization.
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