Linear Programming and Network Flows [Hardcover]

Mokhtar S. Bazaraa (Author), John J. Jarvis (Author), Hanif D. Sherali (Author)

Book Description

ISBN-10: 0470462728 | ISBN-13: 978-0470462720 | Publication Date: December 14, 2009 | Edition: 4

The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated

The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics.

The book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the Fourth Edition include:

• The cycling phenomenon in linear programming and the geometry of cycling

• Duality relationships with cycling

• Elaboration on stable factorizations and implementation strategies

• Stabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods

• Line search and dual ascent ideas for the out-of-kilter algorithm

• Heap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems

The authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by Notes and References sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study.

Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.

Editorial Reviews

Review

"The book can be used both as reference and as textbook for advanced undergraduate students and first-year graduate students in the fields of industrial engineering, management, operation research, computer science, mathematics and other engineering disciplines that deal with the subjects of linear programming and network flows." (Zentralblatt MATH, 2011)

 

From the Publisher

Addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequality constraints. Provided are methods for modeling complex problems via effective algorithms on modern computers. The general theory and characteristics of optimization problems are presented, along with effective solution algorithms. Explores linear programming and network flows, employing polynomial-time algorithms and various specializations of the simplex method. Includes many numerical examples to illustrate theory and techniques. --This text refers to an out of print or unavailable edition of this title.

See all Editorial Reviews

Product Details

• Hardcover: 768 pages
• Publisher: Wiley; 4 edition (December 14, 2009)
• Language: English
• ISBN-10: 0470462728
• ISBN-13: 978-0470462720
• Product Dimensions: 9.3 x 6.2 x 1.5 inches
• Shipping Weight: 2.6 pounds (View shipping rates and policies)
• Average Customer Review: 4.1 out of 5 stars  See all reviews (12 customer reviews)
• Amazon Best Sellers Rank: #162,982 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

4 of 4 people found the following review helpful:

5.0 out of 5 stars Best Math oriented LP book, January 7, 2003

By 

AR PSU "aratpennstate" (State College, PA United States) - See all my reviews

This review is from: Linear Programming and Network Flows (Hardcover)

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.

3 of 3 people found the following review helpful:

4.0 out of 5 stars Great book for graduate OR/MS students, August 1, 2000

By 

Phil Banks - See all my reviews

This review is from: Linear Programming and Network Flows (Hardcover)

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.

5 of 6 people found the following review helpful:

5.0 out of 5 stars THE Linear Programming Book., July 18, 2002

By 

Sharath Bulusu (London) - See all my reviews
(REAL NAME)   

This review is from: Linear Programming and Network Flows (Hardcover)

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".