Advertisement

Linear Programming

Foundations and Extensions

  • Robert J. Vanderbei

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 114)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Basic Theory—The Simplex Method and Duality

    1. Front Matter
      Pages 1-2
    2. Robert J. Vanderbei
      Pages 3-11
    3. Robert J. Vanderbei
      Pages 13-27
    4. Robert J. Vanderbei
      Pages 29-44
    5. Robert J. Vanderbei
      Pages 45-54
    6. Robert J. Vanderbei
      Pages 55-87
    7. Robert J. Vanderbei
      Pages 89-109
    8. Robert J. Vanderbei
      Pages 111-124
    9. Robert J. Vanderbei
      Pages 125-150
    10. Robert J. Vanderbei
      Pages 151-160
    11. Robert J. Vanderbei
      Pages 161-171
    12. Robert J. Vanderbei
      Pages 173-187
    13. Robert J. Vanderbei
      Pages 189-209
    14. Robert J. Vanderbei
      Pages 211-222
  3. Network-Type Problems

    1. Front Matter
      Pages 223-224
    2. Robert J. Vanderbei
      Pages 225-252
    3. Robert J. Vanderbei
      Pages 253-269
    4. Robert J. Vanderbei
      Pages 271-286
  4. Interior-Point Methods

    1. Front Matter
      Pages 287-288
    2. Robert J. Vanderbei
      Pages 289-301
    3. Robert J. Vanderbei
      Pages 303-318
    4. Robert J. Vanderbei
      Pages 319-325
    5. Robert J. Vanderbei
      Pages 327-344
    6. Robert J. Vanderbei
      Pages 345-359
    7. Robert J. Vanderbei
      Pages 361-381
  5. Extensions

    1. Front Matter
      Pages 383-384
    2. Robert J. Vanderbei
      Pages 385-405
    3. Robert J. Vanderbei
      Pages 407-423
    4. Robert J. Vanderbei
      Pages 425-435
  6. Back Matter
    Pages 437-465

About this book

Introduction

Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization.

The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with a large number of numerical examples worked out in detail.

Moreover, Linear Programming: Foundations and Extensions underscores the purpose of optimization: to solve practical problems on a computer. Accordingly, the book is coordinated with free efficient C programs that implement the major algorithms studied: The two-phase simplex method; The primal-dual simplex method; The path-following interior-point method; The homogeneous self-dual methods.

In addition, there are online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's webpage: http://www.princeton.edu/-rvdb/LPbook/. Also, check the book's webpage for new online instructional tools and exercises that have been added in the new edition.

Keywords

Simplex method algorithms ants duality game theory interior-point methods linear optimization linear programming/optimization optimization portfolio optimization quadratic programming

Authors and affiliations

  • Robert J. Vanderbei
    • 1
  1. 1.Dept. of Operations Research and Financial EngineeringPrinceton UniversityNew JerseyUSA

Bibliographic information

Industry Sectors
Pharma
Finance, Business & Banking
Consumer Packaged Goods
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences
Engineering