Preface
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
Bibliography
Index