Linear Programming / Edition 1

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More About This Textbook

Overview

For upper-division/graduate courses in operations research/management science, mathematics, and computer science, this text covers basic theory, selected applications, network flow problems, and advanced techniques.

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Product Details

  • ISBN-13: 9780716715870
  • Publisher: Freeman, W. H. & Company
  • Publication date: 9/28/1983
  • Series: Series of Books in the Mathematical Sciences
  • Edition description: First Edition
  • Edition number: 1
  • Pages: 478
  • Product dimensions: 6.60 (w) x 9.20 (h) x 0.87 (d)

Table of Contents

I. Basic Theory
1. Introduction
2. How the Simplex Method Works
3. Pitfalls and How to Avoid Them
4. How Fast Is the Simplex Method?
5. The Duality Theorem
6. Gaussian Elimination and Matrices
7. The Revised Simplex Method
8. General LP Problems: Solutions by the Simplex Method
9. General LP Problems: Theorems on Duality and Infeasibility
10. Sensitivity Analysis

II. Selected Applications
 11. Efficient Allocation of Scarce Resources
12. Scheduling Production and Inventory
13. The Cutting-Stock Problem
14. Approximating Data by Linear Functions
15. Matrix Games
16. Systems of Linear Inequalities
17. Connections with Geometry
18. Finding All Vertices of a Polyhedron

III. Network Flow Problems
19. The Network Simplex Method
20. Applications of the Network Simplex Method
21. Upper-Bounded Transshipment Problems
22. Maximum Flows Through Networks
23. The Primal-Dual Method

IV. Advanced Techniques
24. Updating a Triangular Factorization of the Basis
25. Generalized Upper Bounding
26. The Dantzig-Wolfe Decomposition Principle

Appendix: The Ellipsoid Method Bibliography Solutions to Selected Problems Index

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