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Linear Programming and Extensions Revised Edition

by George B. Dantzig (Author)
3.9 3.9 out of 5 stars 6 ratings
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The influential book that established the mathematical discipline of linear programming

In the worlds of finance, business, and management, mathematicians and economists frequently encounter problems of optimization. In this classic book, George Dantzig shows how the methods of linear programming can provide solutions. Drawing on a wealth of examples, he introduces the basic theory of linear inequalities and describes the powerful simplex method used to solve them. He discusses the price concept, the transportation problem, and matrix methods, and covers key mathematical concepts such as the properties of convex sets and linear vector spaces. Dantzig demonstrates how linear programming can be applied to a host of optimization problems, from minimizing traffic congestion to maximizing the scheduling of airline flights.

An invaluable resource for students and practitioners alike, Linear Programming and Extensions is an extraordinary account of the development and uses of this versatile mathematical technique, blending foundational research in mathematical theory with computation, economic analysis, and applications to industrial problems.

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  1. ISBN-10
    0691059136
  2. ISBN-13
    978-0691059136
  3. Edition
    Revised
  4. Publisher
    Princeton University Press
  5. Publication date
    August 3, 1998
  6. Language
    English
  7. Dimensions
    6 x 1.48 x 9.25 inches
  8. Print length
    656 pages
  9. See all details
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Editorial Reviews

Review

"The author of this book was the main force in establishing a new mathematical discipline, and he has contributed to its further development at every stage and from every angle. This volume ... is a treasure trove for those who work in this field--teachers, students, and users alike. Its encyclopaedic coverage, due in part to collaboration with other experts, makes it an absolute must."--S. Vajda, Zentralblatt für Mathematik und ihre Grenzgebiete

Review

"The author of this book was the main force in establishing a new mathematical discipline, and he has contributed to its further development at every stage and from every angle. [Linear Programming and Extensions] is a treasure trove for those who work in this field—teachers, students, and users alike. Its encyclopaedic coverage, due in part to collaboration with other experts, makes it an absolute must."—S. Vajda, Zentralblatt für Mathematik und ihre Grenzgebiete

Product details

  • Publisher ‏ : ‎ Princeton University Press; Revised edition (August 3, 1998)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 656 pages
  • ISBN-10 ‏ : ‎ 0691059136
  • ISBN-13 ‏ : ‎ 978-0691059136
  • Item Weight ‏ : ‎ 1.92 pounds
  • Dimensions ‏ : ‎ 6 x 1.48 x 9.25 inches
  • Customer Reviews:
    3.9 3.9 out of 5 stars 6 ratings

Customer reviews

3.9 out of 5 stars
3.9 out of 5
6 global ratings

Top reviews from the United States

Raul V. Campos Garcia
5.0 out of 5 stars Review of Dantzig's book
Reviewed in the United States on May 8, 2007
Verified Purchase
This softbound newly reprinted edition is clear and light; considering the original version I knew back in 1970's was a thick, heavy hardbound.

The book is a compilation of several authors on linear programming, it includes a table explaining the genesis of linear programming and the programming code for computer calculation.

It is a rich and indispensable book for optimization problems.
4 people found this helpful
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Carlos Herrera
1.0 out of 5 stars ORDER WITH CAUTION
Reviewed in the United States on September 24, 2014
Verified Purchase
grossly inaccurate description, quick refund
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A E Steenge
5.0 out of 5 stars Five Stars
Reviewed in the United States on July 20, 2015
Verified Purchase
Excellent copy, thanks!
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Michael R. Chernick
2.0 out of 5 stars good to have but not to learn from
Reviewed in the United States on February 26, 2008
I disagree with the other reviewer. This is a textbook on linear programming and its extension written by George Dantzig the inventor of the simplex method. Even though the simplex method is still popular and useful there are other interesting algorithms that were dsicovered in the 1980s and 1990s that have theoretical and in some cases practical value.

In 1974 I was a graduate student in Operations Research ae Stanford and I took the three quarter mathematical programming course sequence. The first two quarters were taught by George Dantzig out of this book. George was a delightful person to talk to and probably a good thesis advisor and his stories about his graduate school days and the early years at RAND are delightful. However his lectures were disorganized and vague. I found it impossible to learn much from them and the book was not much help either as it too was vague, disjointed and not well organized. Better understanding of the basics of linear programming can be gotten from the fine general books on operations research such as the book by Hillier and Lieberman and the one by Wagner.

I do not know what is the best modern book on linear programming is. It should have good coverage of the simplex method and a lot of applications. Leontiff systems and other special structured programming problems that lead to modifications of the simplex method are covered in this book and should also be in the "ideal" linear progamming book. Integer programming and other special cases of problems with linear constraints should also be included along with alternative algorithms to the simplex method.

This book is more valuable for historic purposes, as it was Dantzig's first book and the first account of the simplex method by its inventor.
40 people found this helpful
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