Linear Programming and Network Flows

**DISCLAIMER: I haven't yet read the portion of the book on network flows.** The authors tie the geometry and algebra of linear programs together in a natural, intuitive way. My background has been mostly in pure mathematics, and I feel like this text is written in my language: it's rigorous and insightful, but not pedantic. At the same time, plenty of concrete examples are provided and worked through, which is helpful. Some maturity is needed, especially comfort with linear algebra and proofs, the latter since the writing is (pleasantly) conversational, and the authors generally rely on the reader to recognize when something is being proved. It is helpful to have some experience with the basics of convex geometry and linear programming beforehand, too: I remember thinking as I read the sections on Carathéodory's representation theorem, basic feasible solutions, and the simplex method - especially the establishment and use of all the equivalent forms of the canonical LP - that I would have struggled a bit if I hadn't seen the material before. Overall, this is a wonderful book for the mathematically-minded who want to really understand linear programming, and I look forward to finishing it.

Very Good as a standalone textbook. Very organized. You will find the the chapter 2 more useful if you look up the linear algebra chapter from Dr.Gilbert Strang's book from MIT(not needed if you still remember your linear algebra). The exercises are challenging- part of them ask for proofs and focus on conceptual understanding, part of them ask for the numerical solutions, and part of them have questions that reflect business problems realistically- especially the sensitivity analysis exercises are very interesting. How it is different from your standard optimization book- This book explains the workings of the algorithms apart from just teaching how to implement them. For example it teaches you how to interpret the entries in a simplex tableau apart from just providing steps on how to implement it The chapter on decomposition algorithm explains the rationale behind the technique . I feel you can get by with an optimization book for solving optimization problems but if you truly want to master optimization conceptually and you like an organized teaching structure , this should be the perfect book.

I received this book in perfect condition. This book contains almost all information needed to understand the linear programming field.

Many have this as "the reference" in LP. To me, it is a good companion to other more concise and clearer books, such as Vanderbei's (such a nice book, by the way!) or Bertsimas' ones, but far (very far) from being the main reference. For example, the Traveling Salesman Problem is treated as an "Exercise", which to me is hard to justify given the "Network Flows" in the title of the book. The book loves the "tableau" treatment of the Simplex, which to me has always been less fulfilling than the "dictionary" view (Vanderbei's is really good at this) or the vector-matrix points of view (Bertsimas' is the choice here). Lastly, two more points that make it hard for me to understand why people love this book so much: (i) the fact that it is such a big tome makes it hard for self-study and unapproachable from an undergraduate point of view; (ii) the typesetting/page design/formatting of this book is one of the worst (if not the worst) among all of the couple of hundred science books I have. It is not in LaTeX, and it is not something easy to read or pleasant to the eye. It is a bad reading experience in my humble opinion. I believe that it is one of those books that stood alone and unchallenged for many years in the field, and many people had graduate courses with it, therefore carrying it on throughout their academic careers for a lack of better option.

Great. I love the book and it thankful to the supplier. It was unbelievable delivery.

It was exactly like what they say. I like it! its shipment by usual service took 5 days. get it and enjoy from your book!

Like someone said, a very dense book, but at the same time if u can get past the condensed style of writing, it is amazing book with good no of examples and illustrations and alternative approaches. At VT have taken as text book for 2 semesters, and missed out on another course in network flows with same book as text. I assure you that if you enjoy maths, then there is no need for a teacher to guide u

Understanding this book is a significant step toward a graduate degree in Industrial Engineering.

Don't buy the Kindle version, since many symbols are missing...

El libro llego en buenas condiciones

Acho que pode ser melhorado as gráficas, porem é um excelente livro.