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Linear Programming and Extensions
George B. Dantzig

Book Description | Endorsements

TABLE OF CONTENTS:

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

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File created: 4/17/2014

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