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Introduction to Linear Optimization (Athena Scientific Series in Optimization and Neural Computation, 6) Hardcover – February 1, 1997

ISBN-13: 978-1886529199 ISBN-10: 1886529191

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Product Details

  • Series: Athena Scientific Series in Optimization and Neural Computation, 6 (Book 6)
  • Hardcover: 608 pages
  • Publisher: Athena Scientific (February 1, 1997)
  • Language: English
  • ISBN-10: 1886529191
  • ISBN-13: 978-1886529199
  • Product Dimensions: 1 x 6.2 x 9 inches
  • Shipping Weight: 2.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (28 customer reviews)
  • Amazon Best Sellers Rank: #301,960 in Books (See Top 100 in Books)

Editorial Reviews

Review

"The true merit of this book, however, lies in its pedagogical qualities which are so impressive..." "Throughout the book, the authors make serious efforts to give geometric and intuitive explanations of various algebraic concepts, and they are widely successful in this effort." "In conclusion, this is an outstanding textbook that presents linear optimization in a truly modern and up-to-date light. One reading of this book is sufficient to appreciate the tremendous amount of quality effort that the authors have put into the writing, and I strongly recommend it to all teachers, researchers and practitioners of mathematical programming." --Motakuri Ramana in Optima, Issue 54

Bertsimas and Tsitsiklis have written a comprehensive treatise, offering an easy-to-understand presentation of linear programming and related topics, including network-flow programming and discrete optimization. --Jonathan Bard in Interfaces, Issue 30(4), July 2000

About the Author

The authors are Professors at the Massachusetts Institute of Technology.

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Customer Reviews

4.8 out of 5 stars
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I cannot find better words to describe this book than simply amazing.
bumelant
This is an excellent book to learn fundamentals of linear programming and its applications.
TravelPro
This is a great book, good examples and very simple yet precise explanations.
Andre de C Fernandes

Most Helpful Customer Reviews

17 of 18 people found the following review helpful By Kunal Kunde on April 6, 2004
Format: Hardcover
This is an excellent book -- it covers in far more detail the first 2/3rds of the 15.093J/2.098J course at MIT (as well as the more mathematically rigorous 15.081J/6.251J course).
The reader should definitely be a mathematically mature student but even the simplest portable concepts from a linear algebra 101 course (basis, rank of a matrix, linear independence) should suffice.
The authors cover the subject matter first in a geometric sense, but since algorithms are necessarily algebraic, they then present the very same concepts algebraically.
An excellent introductory chapter is followed by chapters on the geometry of LP, the simplex method, duality theory, sensitivity analysis, network flow problems, complexity theory, interior point methods, discrete optimization, IP methods (branch-and-bound, dynamic programming, cutting plane, simulated annealing etc.) and finally, to top it all off and to emphasize and present large, important, real-world problems: the art in linear optimization.
Professor Dimitris Bertsimas is an excellent teacher and he and Professor John Tsitsiklis have excelled themselves at this comprehensive (though, as they state themselves, not encyclopedic) effort.
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10 of 11 people found the following review helpful By TravelPro on January 4, 2002
Format: Hardcover
This is an excellent book to learn fundamentals of linear programming and its applications. It's easy to read and it has a great set of of problems, after solving which you'll definitely say that you know something. Among the advantages of the book, I can highlight a great amount of examples, which are easy to follow and very helpful.
There are several minuses of the book. I find it a little wordy, although as I said earlier the writing is very good. Also, the authors try to include as much material as possible, which makes some parts a little superficial. On the other hand the broadness gives the reader a good overview of the field.
Overall, it's a great book for both studies and references.
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12 of 14 people found the following review helpful By A Customer on July 3, 1997
Format: Hardcover
Prof. Bertsimas and Tsitsiklis succeed in writing a book which is fun to read, without being trivial. It doesn't require much mathematical background (thus being accessible to advanced undergraduates), but present clearly and with sufficient depth relatively new developments like ellipsoid and interior point methods (on the other side, the simplex is given less emphasis than other, older books). Stochastic and integer programming are developed in separate chapters. Another very nice chapter is on "the art of LP". Overall, the book provides the reader with the tools necessary to read the literature in the field. The problems are very well chosen. Unfortunately, the bibliography is not aimed at being complete, but is at least up-to-date
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5 of 5 people found the following review helpful By Jonathan Birge TOP 1000 REVIEWERVINE VOICE on January 1, 2006
Format: Hardcover Verified Purchase
The best part of this book is the first half, where the foundations of linear programming are presented in a clear yet relatively rigorous fashion, accompanied by numerous intuitive geometrical explanations of the abstract general concepts. This approach, supplementing mathematics with graphical insights, works extremely well for this topic.

The quality goes down somewhat, perhaps neccessarily, in the latter half of the book as topics are presented less carefully, and in a somewhat rushed manner in order to cover all of the material the authors decided to include. Given that the fundamentals are covered so well, perhaps this is a fair trade.

The only real negative I can think of is that it's a small crime for professors to create their own publishing companies (Athena only publishes works by a small group of MIT professors) and then still charge outrageous amounts for the books. This would be completely unacceptable were it not for the fact that, unlike most self-published work, this book's production quality is on par with that of the large publishers.
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4 of 4 people found the following review helpful By hearstavenue on December 11, 2002
Format: Hardcover
I think this is an excellent book. The first five chapters develop rigorously the geometry and algebra of linear programming. I studied the book in the context of a class and read almost every word of it. I liked the authors' pace and style -- rigorous, but clear and illuminating. The latter chapters of the book were also good, in particular the integer programming formulations and methods chapters.
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5 of 6 people found the following review helpful By Berke E. Guzelsu on December 8, 2013
Format: Hardcover Verified Purchase
Overall, the book is written fairly well and can be easy to follow. However, the book will frequently condense a rather in-depth set of steps into a single sentence, leaving you to figure it out. While not necessarily bad, this will force you to take potshots in the dark to understand something which can significantly extend the learning time of the material . For example, in section 4.1, (Duality Theory) it summarizes many aspects of dual equations without showing the math. As my math professors have always told me, "If the book doesn't show the math, regardless of how easy it may be, it isn't a good book."

Also, the book will make the assumption that you have an unbelievable mastery of previous chapters when doing examples in a given chapter. This will most likely lead you to have to reference the previous chapters a lot. Most good textbooks will just do the math again to save the student the wasted energy but this one doesn't. Not the worst thing I've seen, but definitely something to keep in mind since it means that you'll probably be hit with a lot of time losses due to, "Crud, I don't remember that so I need to re-learn it to learn this new material." Last I checked, people tend to forget things after not looking at it for a couple of weeks so expect to lose a lot of time to this.

The biggest negative in my opinion is the end of chapter problems are quite terrible. Simply put, the authors would prefer to expound on the concepts you learn as opposed to helping cement the critical material in front of you. I found that most students would attempt the problems and simply be confused since they would say, "This wasn't what was covered in the chapter." Problems are meant to first cement the concepts and, second expand on the material.
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