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Linear Programming and its Applications

  • Book
  • © 2007

Overview

Authors:
  1. H. A. Eiselt

    1. Faculty of Business Administration, University of New Brunswick, Fredericton, Canada

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    You can also search for this author in PubMed   Google Scholar

  2. C. -L. Sandblom

    1. Department of Industrial Engineering, Dalhousie University, Halifax, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Extended chapter on all major areas of applications
  • Detailed managerial sensitivity analyses
  • With a small and fully formulated case study and an extended chapter that deals with models that incorporate multiple objectives
  • Reader will be able to understand the major phases of the process: the formulation, solution, and the interpretation of the results
  • Includes supplementary material: sn.pub/extras

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Linear Algebra

    Pages 1-30

  3. Computational Complexity

    Pages 31-44

  4. Introduction

    Pages 45-66

  5. Applications

    Pages 67-128

  6. The Simplex Method

    Pages 129-165

  7. Duality

    Pages 167-202

  8. Extensions of the Simplex Method

    Pages 203-224

  9. Postoptimality Analyses

    Pages 225-260

  10. Non-Simplex Based Solution Methods

    Pages 261-294

  11. Problem Reformulations

    Pages 295-323

  12. Multiobjective Programming

    Pages 325-362

  13. Back Matter

    Pages 363-380
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Keywords

About this book

Based on earlier work by a variety of authors in the 1930s and 1940s, the simplex method for solving linear programming problems was developed in 1947 by the American mathematician George B. Dantzig. Helped by the computer revolution, it has been described by some as the overwhelmingly most significant mathematical development of the last century. Owing to the simplex method, linear programming (or linear optimization, as some would have it) is pervasive in modern society for the planning and control of activities that are constrained by the availability of resources such as manpower, raw materials, budgets, and time. The purpose of this book is to describe the field of linear programming. While we aim to be reasonably complete in our treatment, we have given emphasis to the modeling aspects of the field. Accordingly, a number of applications are provided, where we guide the reader through the interactive process of mathematically modeling a particular practical situation, analyzing the consequences of the model formulated, and then revising the model in light of the results from the analysis.

Reviews

From the reviews:

"The aim of this book is to focus on the modelling aspects of Linear Programming (LP) … . the book is a good self-contained resource that introduces readers to the vast area of LP and its applications. This book is suitable for a variety of audiences including undergraduate and postgraduate students, practitioners and scientists who are new or relatively new to LP. … Overall … a good introductory book to Linear Programming that combines formal presentations of concepts and techniques with illustrative examples." (D Silva, Journal of the Operational Research Society, Vol. 60, 2009)

"The book intends to present ‘a unified treatment of linear programming’ … . the background of the authors, the kind of the presentation, and the choice of the considered applications indicates that it will primarily attract students and researchers who have interest in operations research and in economical problems. … the main emphasis of the book is on models and applications." (Rembert Reemtsen, Zentralblatt MATH, Vol. 1154, 2009)

Authors and Affiliations

  • Faculty of Business Administration, University of New Brunswick, Fredericton, Canada

    H. A. Eiselt

  • Department of Industrial Engineering, Dalhousie University, Halifax, Canada

    C. -L. Sandblom

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