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Linear Programming in Industry

Theory and Applications. An Introduction

  • Book
  • © 1960

Overview

Authors:
  1. Sven Danø

    1. University of Copenhagen, Copenhagen, Denmark

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    • Sven Danø
    Pages 1-4

  3. Elements of the Mathematical Theory of Linear Programming

    • Sven Danø
    Pages 5-14

  4. A Practical Example

    • Sven Danø
    Pages 15-25

  5. Linear Models of Production and Economic Optimization

    • Sven Danø
    Pages 26-32

  6. Industrial Applications

    • Sven Danø
    Pages 33-64

  7. Computational Procedures for Solving Linear Programming Problems

    • Sven Danø
    Pages 65-89

  8. Duality in Linear Programming

    • Sven Danø
    Pages 90-95

  9. The Effects of Coefficient Variations on the Solution

    • Sven Danø
    Pages 96-99

  10. The Applicability of Linear Programming in Industry

    • Sven Danø
    Pages 100-103

  11. Back Matter

    Pages 104-120
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Keywords

About this book

The present volume is intended to serve a twofold purpose. First, it provides a university text of Linear Programming for students of or operations research interested in the theory of production economics and cost and its practical applications; secondly, it is the author's hope that engineers, business executives, managers, and others responsible for the organization and planning of industrial operations may find the book useful as an introduction to Linear Programming methods and techniques. Despite the different backgrounds of these categories of potential readers, their respective fields overlap to a considerable extent; both are concerned with economic optimization problems, and the use of Linear Programming to problems of production planning is simply applied theory of production. The non-economist reader may, but should not, pass over Chapter IV in which the linear production model is linked up with the economic theory of production. Without being an advanced text, the book aims at covering enough ground to make the reader capable of detecting, formulating, and solving such linear planning problems as he may encounter within his particular field. No heavy demands are made on the reader's mathematical profi­ ciency; except for the proofs in the Appendix-which may be skipped ü desired-the mathematical exposition is purely elementary, involving only simple linear relations. In the author's experience, the pedagogical advantages of this approach, as compared with the use of matrix algebra, amply justify the sacrilice of mathematical elegance and typographical simplicity, particularly in explaining the simplex method.

Authors and Affiliations

  • University of Copenhagen, Copenhagen, Denmark

    Sven Danø

Bibliographic Information

  • Book Title: Linear Programming in Industry

  • Book Subtitle: Theory and Applications. An Introduction

  • Authors: Sven Danø

  • DOI: https://doi.org/10.1007/978-3-7091-3644-7

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Wien 1960

  • eBook ISBN: 978-3-7091-3644-7Published: 17 April 2013

  • Edition Number: 1

  • Number of Pages: VIII, 120

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Computer Science, general, Engineering, general

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