Table of Contents:
  • Ch. 1. The Linear Programming Concept
  • Ch. 2. Origins and Influences
  • Ch. 3. Formulating a Linear Programming Model
  • Ch. 4. Linear Equation and Inequality Systems
  • Ch. 5. The Simplex Method
  • Ch. 6. Proof of the Simplex Algorithm and the Duality Theorem
  • Ch. 7. The Geometry of Linear Programs
  • Ch. 8. Pivoting, Vector Spaces, Matrices, and Inverses
  • Ch. 9. The Simplex Method Using Multipliers
  • Ch. 10. Finiteness of the Simplex Method Under Perturbation
  • Ch. 11. Variants of the Simplex Algorithm
  • Ch. 12. The Price Concept in Linear Programming
  • Ch. 13. Games and Linear Programs
  • Ch. 14. The Classical Transportation Problem
  • Ch. 15. Optimal Assignment and Other Distribution Problems
  • Ch. 16. The Transshipment Problem
  • Ch. 17. Networks and the Transshipment Problem
  • Ch. 18. Variables with Upper Bounds
  • Ch. 19. Maximal Flows in Networks
  • Ch. 20. The Primal-Dual Method for Transportation Problems
  • Ch. 21. The Weighted Distribution Problem
  • Ch. 22. Programs with Variable Coefficients
  • Ch. 23. A Decomposition Principle for Linear Programs
  • Ch. 24. Convex Programming
  • Ch. 25. Uncertainty
  • Ch. 26. Discrete Variable Extremum Problems
  • Ch. 27. Stigler's Nutrition Model: An Example of Formulation and Solution
  • Ch. 28. The Allocation of Aircraft to Routes Under Uncertain Demand.