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© 2011

Linear Programming and Generalizations

A Problem-based Introduction with Spreadsheets

Textbook

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 149)

Table of contents

  1. Front Matter
    Pages 1-1
  2. Prelude

    1. Front Matter
      Pages 1-1
    2. Eric V. Denardo
      Pages 3-32
    3. Eric V. Denardo
      Pages 33-66
    4. Eric V. Denardo
      Pages 67-109
  3. The Basics

    1. Front Matter
      Pages 111-111
    2. Eric V. Denardo
      Pages 113-152
    3. Eric V. Denardo
      Pages 153-194
    4. Eric V. Denardo
      Pages 195-218
  4. Selected Applications

    1. Front Matter
      Pages 219-219
    2. Eric V. Denardo
      Pages 221-268
    3. Eric V. Denardo
      Pages 269-295
    4. Eric V. Denardo
      Pages 297-327
  5. LP Theory

    1. Front Matter
      Pages 329-330
    2. Eric V. Denardo
      Pages 331-353
    3. Eric V. Denardo
      Pages 355-375
    4. Eric V. Denardo
      Pages 377-412
    5. Eric V. Denardo
      Pages 413-441
  6. Game Theory

    1. Front Matter
      Pages 443-443
    2. Eric V. Denardo
      Pages 445-478

About this book

Introduction

This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. • investigate game theory and nonlinear optimization, • link the subject to economic reasoning, and • present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the student’s interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the student’s grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics.

Authors and affiliations

  1. 1.Yale UniversityNew HavenUSA

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Reviews

From the reviews:

“This text includes a more in-depth review of LP, lending the student thorough knowledge of the art and science of problem solving using LP. … Undergraduate students in applied commerce or business programs are clearly part of the audience. It is also suitable for a course that introduces LP, its application, and its integration with widely used software … . Practitioners with an interest in refreshing their knowledge in LP or expanding their knowledge to include LP will be equally satisfied by this book.” (Geoffrey T. Pond, Interfaces, Vol. 42 (3), May-June, 2012)