Linear programming 9781642875348

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English Pages [319] Year 2020

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Linear programming
 9781642875348

Table of contents :
Cover
PREFACE TO THE CENTRAL EDITION
PREFACE TO THE FIRST EDITION
Contents
1 Mathematical Background
2 Motivation and Mathematical Formulation of Linear Programming Problems
3 Slack and Surplus Variables
4 Basic Solutions of a Set of Simultaneous Linear Equations
5 N-Dimensional Euclidean Space and Convex Set
6 Fundamental Properties of Simplex Method
7 Graphical or Geometrical Method of Solving a L.P.P.
8 Simplex Method or Simplex Algorithm (I)
9 Simplex Method or Simplex Algorithm (II)
10 Duality Theory
11 Transportation Problems and Assignment Problems
Appendix A Development of the Simplex Theory

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