Linear Programming and Network Flows

Rating:
Summary: Strong Graduate Treatment in Linear Programming
Review: I am currently working toward a Ph.D. in Management Science and used this book for a LP course. If you can get past the matrix algebra (which isn't too terribly difficult) you will find that this book contains more practical LP information than any other resource available. However, those looking for a "how to" book on linear programming might want to try a more elementary text first. This book is geared toward those interested in the more advanced computational aspects of LP (e.g., revised simplex method, LU decomposition, product form of the inverse, bounded variables, etc.). The chapter on sensitivity analysis is particularly well written and thorough. But beware, this book packs more info per page than I have ever seen!!!

Rating:
Summary: Excellent but DENSE!!!!
Review: I am currently working toward a Ph.D. in Management Science and used this book for a LP course. If you can get past the matrix algebra (which isn't too terribly difficult) you will find that this book contains more practical LP information than any other resource available. However, those looking for a "how to" book on linear programming might want to try a more elementary text first. This book is geared toward those interested in the more advanced computational aspects of LP (e.g., revised simplex method, LU decomposition, product form of the inverse, bounded variables, etc.). The chapter on sensitivity analysis is particularly well written and thorough. But beware, this book packs more info per page than I have ever seen!!!

Rating:
Summary: studying on the book as a student
Review: I am having OR lesson in a university of Turkey.The problem is to solve the problems of this book.And it is very awful for me trying trying but even the results are not known.

Rating:
Summary: THE Linear Programming Book.
Review: I came across this book as a graduate student and hated it! But as I went deeper into Linear Programming (and stochastic programming) I realized the true worth of this book. It is definitely an intermediate-advanced level book rather than a beginner's book. Each concept is developed in painstaking detail with a strong base in Linear Algebra.
While the linear programming part is quite strong on the traditional algorithms, it is a little weak on interior point algorithms. For network flows, I would suggest the book by Ahuja et al... not because this book is bad but simply because Ahuja's done an unbeatable job.
Bottomline: This book is the best there is for a strong background in linear programming. If you are interested in theory look up Schrijver's "Theory of Linear and Integer Programming".

Rating:
Summary: Best Math oriented LP book
Review: I used this book as part of my grad level LP course that covered the first half of the book. Let me start out by saying that this is by no means a beginner's book. This book assumes a strong Linear Algebra and basic OR (assumes you know the Simplex method solution procedure, etc.) knowledge.If you are looking to get these OR prerequisites, then refer to the basic OR books by Hillier & Lieberman, Wayne Winston, Ignizio & Cavalier or A. Ravindran; this book is not for you.

This book is outstanding for understanding the theory and mathematical mechanics of LP and the first half of the book covers this comprehensively. The excercises in this book are outstanding (and can be hard). For those who need this book but are weak or rusty on the basics (like I was :) ) refer to one of the books above (I liked the Ignizio & Cavalier book a lot). I can't comment on the Network flows part of the book but it will almost surely be excellent if it is anything like the first half.

An excellent book for the intended audience.

Rating:
Summary: Unnecessarily complicated
Review: I used this book for 6 months and got nothing out of it. Ultimately I understood all the contents in 6 hours aften follwing a similar book by Puthenpura and Fang. However, this is very useful if you have a fairly good grasp of the subject and is useful for honing the skills.

Rating:
Summary: Great book for graduate OR/MS students
Review: I used this book in my graduate linear programming class. The text is very descriptive in its theory and has a wealth of exercises from simple to doctorate level.

Rating:
Summary: Strong Graduate Treatment in Linear Programming
Review: I used this text while taking a graduate linear programming (LP)course on LP and network flows. I really liked the treatment. The typesetting was clear ,consistent and easily followed (not as good as Nash and Sofer's). The book also includes lots of nice side discussion on how or why the theory is the way it is. Plenty of references are offered for further study. Proofs were not rigorous. The highly mathematical reader may be disappointed by the "show proof" style used instead of a rigorous theorem-proof style. In fact, I seem to recall a time or two where the theorem came after the usage. For me, I didn't mind that, but a pure math guy would likely grind his teeth.

The network material was acceptable. I personally thought the text problems were not of the best quality. I would suggest a teacher supplement their own favorites outside of the book.

One caution is that the book is somewhat aged. I noticed a text like Nash and Sofer seems to have newer updates on the theory.

Overall, a great read for getting into the nitty gritty details of LP.

Rating:
Summary: Amazing book
Review: This is an amazing book for learning Linear programming but not very good for network flows. But the names given and symbols may vary from other books. I reccomend sticking to one LP book and following the conventions. I liked most of the conventions in this book except some. Some of the problems were dealt too complication liem dealing the lower bounds on variables. Good excercises at end of each chapter. I recommend this book strongly but I am afraid you would need guidance from a teacher if you want to learn Lp for the first time. I reccommend Ahuja's boof for Network flows.