Average Reviews:
(More customer reviews)I read the 2nd edition of Dr. Vanderbei's text in its entirety before taking my doctoral qualifying exams. I was shocked to read some of the negative reviews -- this is an outstanding introductory text for a graduate-level course!
In my opinion, the text strikes a delicate balance between two extremes: a strict treatment of theory and an exclusive focus on applications. Vanderbei provides a very readable explanation of fundamental theoretical results in linear programming, yet he also provides meaningful and insightful applications of the theory. In contrast to many other linear programming texts, Vanderbei effectively treats both the "why" and the "how."
Here's a brief guide to the book. Part One of the text is sufficient for readers who want to gain a basic understanding of linear programming theory and how to solve linear programming problems via the simplex method. Part Two discusses network-type problems, an important problem class on which linear programming methods have proven invaluable in solving industrial-sized problems. Part Three introduces the motivated reader to interior-point methods, a more recent class of algorithms for solving linear programming problems. This section effectively summarizes key research in interior-point methods, an area in which the author is an expert. Part Four demonstrates how Parts One, Two, and Three can be applied in a more general sense to solve convex programming problems.
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