Linear Programming and Extensions (Paperback)

by George Dantzig (Author) "In the summer of 1949 at the University of Chicago, a conference was held under the sponsorship of the Cowles Commission for Research in Economics;..." (more)
Key Phrases: weighted distribution problem, new restricted primal, capacitated transportation problem, Air Force, Los Angeles, World War (more...)

Editorial Reviews

Review
Ter Haar, who studied with Kramers, has a unique approach to scientific biography: He makes us read the original papers [along with] discussion of the published work and an eludication of these papers... On quantum electrodynamics] and the other subjects on which he touches, [ter Haar] has written a stimulating book that brings Kramers's history-making work even more into focus... Physics Today

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 fur Mathematik und ihre Grenzgebiete" )

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Product Details

• Paperback: 648 pages
• Publisher: Princeton University Press (August 3, 1998)
• Language: English
• ISBN-10: 0691059136
• ISBN-13: 978-0691059136
• Product Dimensions: 9.2 x 6 x 1.4 inches
• Shipping Weight: 2.1 pounds (View shipping rates and policies)
• Average Customer Review: 3.5 out of 5 stars See all reviews (2 customer reviews)
• Amazon.com Sales Rank: #224,339 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

28 of 28 people found the following review helpful:

2.0 out of 5 stars good to have but not to learn from, February 26, 2008

By	Michael R. Chernick "statman31147" (Holland PA) - See all my reviews (REAL NAME)

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.

1 of 2 people found the following review helpful:

5.0 out of 5 stars Review of Dantzig's book, May 7, 2007

By	Raul V. Campos Garcia "opus reader" (Mexico, City) - See all my reviews (REAL NAME)

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.