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1. An Illustrated Guide to Linear
2. Linear Programming and Economic
3. Linear Programming, Second Edition
4. Linear and Nonlinear Programming
5. Linear Programming and Extensions
6. Linear Programming and Network
7. Understanding and Using Linear
8. Linear Programming (Series of
9. Linear Programming: Methods and
10. Linear and Integer Programming
11. Linear Programming: Foundations
12. Applied Calculus With Linear Programming
13. Introduction to Linear Optimization
14. Linear Programming and Its Applications
15. Linear Programming
16. Production Planning by Mixed Integer
17. Linear Programming: Basic Theory
18. Basic Linear Programming
19. Applied Optimization with MATLAB
20. Fuzzy Geometric Programming (Applied

1. An Illustrated Guide to Linear Programming
by Dr. Saul I. Gass
Paperback: 173 Pages (1990-03-01)
list price: US$12.95 -- used & new: US$7.81
(price subject to change: see help)
Asin: 0486262588
Average Customer Review: 4.5 out of 5 stars
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Product Description
Entertaining, non-technical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, network problems, much more. Appendix offers precise statements of definitions, theorems, and techniques, additional computational procedures. Only high-school algebra needed. Bibliography.
... Read more

Customer Reviews (6)

5-0 out of 5 stars Linear Programming for the Non-Mathematician
When researching how to use LPs, I came across many, many books that told me how LPs worked and gave me enough information that I could implement my own LP solver, had I the time and inclination.This is the first book I found that concentrated on how to think about problems so that they could be solved by an LP.Ultimately, my solution was far more complex than anything presented in the book, but the book gave me the initial patterns I needed to get started.

If you're finding LPs a hard concept to wrap your head around, this would be the book I'd recommend.

4-0 out of 5 stars An Illustrated Guide to Linear Programming
The book is very good for introducction to the applications of Linear Programming. It will be useful for first time students of Operations Research.The explaination is very simple and innovative. The later part of the book introduces matrix algebra which is the gist of Linear Programming at the advanced stage.

4-0 out of 5 stars An effective introduction to Linear Programming
For someone with an interest in learning LP but not the best mathematical foundation for learning it, this book worked for me. I think the author is an experienced teacher of people with math skills such as mine and knew how present the material and explain it in familiar terms.
The book does not have all the material I need but did get me going in a confident manner so I could handle the other books I bought before I bought this one.

5-0 out of 5 stars Great intro to Linear Programming
This book is a great non-technical introduction to a very technical subject: linear programming. If you are interested in linear programming but you don't want to all of the mathematical details, then buy this book. Hey, you can't beat the price.

By the way, how can anyone expect a book like this to tell someone how to apply linear programming. Doing that requires a lot more technical training and there are other more detailed and more expensive books that explain how to apply linear programming. This book is a great introduction a complicated subject. You will enjoy this book if your expectations are reasonable.

3-0 out of 5 stars Good, but a reprint from 1970
This book presents a good conceptual overview of linear programming, geared for the non-mathmatical person. However, it is a reprint of a 1970 title, so there isn't much on the use of computers to solve this type of problem. ... Read more

2. Linear Programming and Economic Analysis
by Robert Dorfman, Paul A. Samuelson, Robert M. Solow
Paperback: 525 Pages (1987-11-01)
list price: US$24.95 -- used & new: US$13.00
(price subject to change: see help)
Asin: 0486654915
Average Customer Review: 4.5 out of 5 stars
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Product Description
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more. First comprehensive treatment of role of linear programming in traditional economic theory. Bibliography. Index.
... Read more

Customer Reviews (3)

5-0 out of 5 stars A classical book.
This book is a classical. It's important you'll buy for your library.

4-0 out of 5 stars Good if you care more about the economics than the math...
I have to agree with the other reviewer, this is a fantastic book. It explains very clearly how powerful a tool linear programming can be in economics. However, this book really ties its hands by only talking aboutmatrices or any of the mathematical reasons why linear programming works asit does in an appendix. If you're a mathematician that wants to learn aboutlinear programming, this is definitely not the book. But if you're aneconomist, or just someone interested in economics, that wants to learnabout linear programming, then this book is definitely for you. It is veryrich with economic ideas and covers a lot of interesting topics such asgrowth theory and welfare economics.

5-0 out of 5 stars VER GOOD

3. Linear Programming, Second Edition - Foundations and Extensions (International Series in Operations Research and Management Science, Volume 37) (International ... Research & Management Science, 37.)
by Robert J. Vanderbei
Hardcover: 472 Pages (2001-05-01)
list price: US$104.00 -- used & new: US$59.79
(price subject to change: see help)
Asin: 0792373421
Average Customer Review: 5.0 out of 5 stars
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Product Description
Linear Programming: Foundations and Extensions is anintroduction to the field of optimization. The book emphasizesconstrained optimization, beginning with a substantial treatment oflinear programming, and proceeding to convex analysis, network flows,integer programming, quadratic programming, and convex optimization.

The book is carefully written. Specific examples and concretealgorithms precede more abstract topics. Topics are clearly developedwith a large number of numerical examples worked out in detail. Moreover, Linear Programming: Foundations and Extensionsunderscores the purpose of optimization: to solve practical problemson a computer. Accordingly, the book is coordinated with freeefficient C programs that implement the major algorithms studied:

+The two-phase simplex method;+Theprimal--dual simplex method;+The path-followinginterior-point method;+The homogeneous self-dual methods. In addition, there are online JAVA applets that illustrate variouspivot rules and variants of the simplex method, both for linearprogramming and for network flows.Also, check the book'swebpage for new online instructional tools and exercises that havebeen added in the new edition. ... Read more

Customer Reviews (1)

5-0 out of 5 stars Professor Robert Freund's review
This is a much more detailed one as compared to the other two and was penned by MIT ORC Professor Robert Freund.

Summary. This book presents a thoroughly modern treatment of linear programming that achieves a healthy balance between theory, implementation, computation, and between the simplex method and interior-point methods. It's most novel feature is that it is written in a delightful and refreshing conversational style, that bespeaks the author's teaching style and relaxed wit. It is a pleasure to read: students will find the book to be friendly and engaging, while professors will find in the book a wealth of teaching material, nicely organized and packaged for classroom use. The book is also meant to be used in conjunction with a public-available website that contains software for various algorithms, additional exercises, and demos of algorithms.
The need for new linear programming textbooks. The world of linear programming has changed dramatically in the last ten years. For one thing, the incredible changes in computer technology have made it easy to solve truly huge LPs, and routine LP problems solve in fractions of a second even on a personal computer. As a result, the study of linear programming algorithms is of less interest to the casual student. (In a similar vein, we usually do not teach students how to efficiently compute square roots; we simply presume they can press the right buttons on their calculator.) On the other hand, because we can now solve truly gigantic linear programs, issues of computer implementation, numerical stability, and software architecture, etc., are as important for the serious optimizer as is, say, duality theory. Furthermore, the development and recognition of the importance of interior point methods has changed the landscape of linear programming significantly, so that linear programming is no longer synonymous with the simplex method, and a modern treatment of LP must also present an in-depth treatment of the most important interior point methods.

Vanderbei's book is thoroughly modern. Vanderbei's book is completely up-to-date. Aside from a nice treatment of the simplex method, it also contains a very up-to-date treatment of interior point methods, including the homogeneous self-dual formulation and algorithm (which might soon become the dominant algorithm in practice and theory). It contains extensive material on issues of implementation of both the simplex algorithm and interior point algorithms. A politician might call it a book for the 21st century.

Vanderbei's book has many novel features. This book is quite different from most other textbooks on LP in a number of important ways. For starters, the standard form of a linear program in the book is the symmetric form of the problem (max c^T x | Ax <= b, x >= 0), as opposed to the usual form (min c^T x | Ax=b, x >= 0). This difference allows for an easier treatment of duality, and allows one to see the geometry of linear programming more easily as well. The symmetric form also makes it easier to set up the homogeneous self-dual interior point algorithm. However, this form has the drawback that discussions of bases, basic feasible solutions, and some of the mechanics of the simplex method are all a bit more awkward. (The book uses the language of dictionaries to describe the essential information in a simplex method iteration.) The book has more of a focus on engineering applications than does the more typcial LP textbook (which tend to rely on business problems). For example, there is a nice chapter on optimization of engineering structures such as trusses. The book gives a very broad treatment of interior point methods, including several topics that are not usually found in textbooks such as the homogeneous self-dual formulation and algorithm, quadratic programming via interior point methods, and general convex optimization via interior point methods.

These novel features are good in that the author has clearly tried to be innovative and to build an LP text from the ground up, without regard for past texts.

Some Nice Features. There are some particularly nice features in the book. The book contains a much-simplified variant of the Klee-Minty polytope that allows for a more straightforward proof that the simplex method can visit exponentially many extreme points. In addition to proving strong duality, the book also presents Tucker's strict complementarity theorem, which has become important in the new view of sensitivity analysis, optimal partitions, and interior point methods. The book also contains a nice treatment of the steepest edge pivot rule, which has recently emerged as an important component in speeding up the performance of the simplex algorithm. In the treatment of interior point methods, the author spends very little time on polynomial time bounds and guarantees (as a theorist, I like to see this material), instead adding value by discussing important computational and implemention issues, including ordering heuristics, strategies for solving the KKT system by Newton's method, etc. The book sometimes has an engineer's feel for the proofs, which is good for students but is a bit frustrating to hard-core math types such as myself. There are many instances where the proof is just a proof via an example. This is consistent with the conversational and informal style of the text, and this informality spills over into the mathematics on occasion.

This book has style. As mentioned earlier, the book has a wonderfully appealing conversational style. While the author does not purposely go out of his way to be cute and corny, he succeeds in leaving the reader grinning with his humor. There are some passages that are downright funny, but the style succeeds mostly by default. One section on the issue of modeling the anchoring of truss design problems is called Anchors Away, the subsection on updating factorizations to reduce fill-in is aptly called Shrinking the Bump. And there is the hint of a racy discussion of an application of Konig's Theorem involving boys and girls that the curious reader might enjoy.

Overall, I greatly enjoyed reviewing this book, and I highly recommend the book as a textbook for an advanced undergraduate or master's level course in linear programming, particularly for courses in an engineering environment. In addition, the book also is a good reference book for interior point methods as well as for implementation and computational aspects of linear programming. This is an excellent new book. ... Read more

4. Linear and Nonlinear Programming (International Series in Operations Research & Management Science)
by David G. Luenberger, Yinyu Ye
Paperback: 546 Pages (2010-11-02)
list price: US$109.00 -- used & new: US$87.00
(price subject to change: see help)
Asin: 1441945040
Average Customer Review: 4.0 out of 5 stars
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This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California’s Stanford University, who has written lots of extra material including some on Interior Point Methods.

... Read more

Customer Reviews (7)

5-0 out of 5 stars A classic textbook in its second edition
This is a classic textbook with many sparklingly original ideas when it was first published in the early seventies. In the new edition the book is brought up to date with material on interior point methods, among others. The book covers both linear and nonlinear programming, and is written with mathematical rigor, but also with simple intuitive language. An excellent entry point to both linear and nonlinear programming.

5-0 out of 5 stars Great deal! Quick shipping!!!
I received the book within one week. The book was brand new and I am very happy with the deal!

4-0 out of 5 stars Good book , but consider a used copy!
Luenberger's optimization book is very good and well worth having.However, it should be noted that the "new" 2004 edition published by Springer-Verlag is nothing more than an exact reprint of the 1984 2nd edition that was formerly published by Addison-Wesley.Accordingly, a good used copy may be more worthwhile than an overpriced "new" one.

This is the fourth such case I have come across wherein a publisher chooses to engage in such misleading marketing practices.The other three are "Engineering Optimization - Methods and Applications" by Reklaitis (1983), "Hydraulic Control Systems" by Merrit (1967), and "Dynamic Systems" also by Luenberger (1979).All three are now being sold as new publications by Wiley (according to Amazon).I suspect there are many other examples as well.

1-0 out of 5 stars The book is a Xerox
Looking from outside, the book seems very good. However, when you open the cover you are shocked by the press quality. It seems like the book just came from an illegal copy shop. Sometimes you can not read small indices in formulas. For a book having this context, a better press quality should be used. I could make a better copy with a copy machine.The paper quality is around average.

5-0 out of 5 stars A book on mathematics that also an engineer can read
I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written frommatematicians for matematicians. Hence it is quite hard for engineers bothto read and to extract valuable information from them. With this respectthis book is a shining star. It presents the topics in a very precise butclear and understandable way. Moreover the notation also is the bestcompromise between coinciseness and clarity. Matematicians, please, look atthis book and follow such style; we engineer desperately need tocommunicate with you. ... Read more

5. Linear Programming and Extensions
by George Dantzig
Paperback: 648 Pages (1998-08-03)
list price: US$82.50 -- used & new: US$59.93
(price subject to change: see help)
Asin: 0691059136
Average Customer Review: 3.5 out of 5 stars
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In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. In this classic book, George Dantzig looks at a wealth of examples and develops linear programming methods for their solutions. He begins by introducing the basic theory of linear inequalities and describes the powerful simplex method used to solve them. Treatments of the price concept, the transportation problem, and matrix methods are also given, and key mathematical concepts such as the properties of convex sets and linear vector spaces are covered. ... Read more

Customer Reviews (2)

2-0 out of 5 stars good to have but not to learn from
I disagree with the other reviewer.This is a textbook on linear programming and its extension written by George Dantzig the inventor of the simplex method.Even though the simplex method is still popular and useful there are other interesting algorithms that were dsicovered in the 1980s and 1990s that have theoretical and in some cases practical value.

In 1974 I was a graduate student in Operations Research ae Stanford and I took the three quarter mathematical programming course sequence.The first two quarters were taught by George Dantzig out of this book.George was a delightful person to talk to and probably a good thesis advisor and his stories about his graduate school days and the early years at RAND are delightful.However his lectures were disorganized and vague.I found it impossible to learn much from them and the book was not much help either as it too was vague, disjointed and not well organized.Better understanding of the basics of linear programming can be gotten from the fine general books on operations research such as the book by Hillier and Lieberman and the one by Wagner.

I do not know what is the best modern book on linear programming is.It should have good coverage of the simplex method and a lot of applications. Leontiff systems and other special structured programming problems that lead to modifications of the simplex method are covered in this book and should also be in the "ideal" linear progamming book.Integer programming and other special cases of problems with linear constraints should also be included along with alternative algorithms to the simplex method.

This book is more valuable for historic purposes, as it was Dantzig's first book and the first account of the simplex method by its inventor.

5-0 out of 5 stars Review of Dantzig's book
This softbound newly reprinted edition is clear and light; considering the original version I knew back in 1970's was a thick, heavy hardbound.

The book is a compilation of several authors on linear programming, it includes a table explaining the genesis of linear programming and the programming code for computer calculation.

It is a rich and indispensable book for optimization problems.

... Read more

6. Linear Programming and Network Flows
by Mokhtar S. Bazaraa, John J. Jarvis, Hanif D. Sherali
Hardcover: 768 Pages (2009-12-14)
list price: US$115.00 -- used & new: US$56.69
(price subject to change: see help)
Asin: 0470462728
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description
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. ... Read more

Customer Reviews (10)

4-0 out of 5 stars Very Theoretical but good fundamental and advanced techniques
The techniques described are very theoretical but are friendly to be used in Computer programs. Has a great deal of depth.

2-0 out of 5 stars This book is only useful if you already know about linear programming.
I am using this book for a linear programming course.The most flagrant problem with this book is that it is filled with typos, making reading through proofs and examples very frustrating because you're never sure what is supposed to be written.The book is also not very good at explaining concepts and leaves many steps out in the development of new ideas.If you can avoid it, do not use this book to learn linear programming.

4-0 out of 5 stars Strong Graduate Treatment in Linear Programming
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.

5-0 out of 5 stars Excellent but DENSE!!!!
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!!!

5-0 out of 5 stars Best Math oriented LP book
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. ... Read more

7. Understanding and Using Linear Programming (Universitext)
by Jiri Matousek, Bernd Gärtner
Paperback: 226 Pages (2006-11-14)
list price: US$69.95 -- used & new: US$39.49
(price subject to change: see help)
Asin: 3540306978
Average Customer Review: 4.5 out of 5 stars
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Product Description
The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes". ... Read more

Customer Reviews (2)

4-0 out of 5 stars Good introductory material
Most other LP books are too difficult for computer science professionals with no background on optimization techniques and operation research theory.
This is an excellent book for computer science professionals to learn about linear programming.

5-0 out of 5 stars Amazing linear programming book
This is one of the greatest linear programming books I've ever read.

It sets out to teach linear and it only does that. It does not go into any neigbour topics and confuse the reader.
It is also picky about the proofs it provides, only the necessary ones.

Finally, I also liked the way they introduced the simplex tableus. They completely avoided the more usual tableau look. Instead they only show the equations which form the tableau. This makes simplex much more understandable.

All in all, great book for new grad students in industrial engineering, computer science, etc... ... Read more

8. Linear Programming (Series of Books in the Mathematical Sciences)
by Vasek Chvatal
Paperback: 478 Pages (1983-09-15)

Isbn: 0716715872
Average Customer Review: 4.0 out of 5 stars
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For upper-division/graduate courses in operations research/management science, mathematics, and computer science, this text covers basic theory, selected applications, network flow problems, and advanced techniques.
... Read more

Customer Reviews (8)

1-0 out of 5 stars Avoid this Seller!
I bought the book during my stay at Orlando at Holliday Inn. The delivered took a lot of time and I needed to go back home without the book. The hotel said that never received the book. I tried a refund but the seller said that needs the book return first. The seller doesn't have any order control or delivery track. I definitely don't recomend this seller. WHERE IS MY BOOk?

4-0 out of 5 stars An OR professor's review
The book presents many aspects of linear programming, particularly basic concepts, in a much simpler and interesting way than earlier books on this area.If focuses on what I consider the relevant aspects of LP and avoids sections describing endless calculations. Besides basic and some advanced concepts, there is an entire section devoted to applications which is interesting for engineering courses.

5-0 out of 5 stars Linear Programming as Mathematics
I've been teaching a linear programming course at the advanced undergraduate level out of this book for the last 12 years.I'm still happy with Chvatal's book and haven't found anything better.

Prerequisites for this book include some background in linear algebra (the typical sophomore level introduction to linear algebra is enough), and some experience with proof based mathematics.Because the subject does not involve the difficult concepts of analysis, it (much like number theory) makes a good subject for students to study as they are developing proof writing skills.

The first 10 chapters of the book present the simplex method, the revised simplex method, duality theory, and sensitivity analysis.
This material can easily be covered in 10 weeks.The remaining chapters of the book are largely independent, mostly focused on various applications of linear programming and specialization of the simplex method to network flow problems.

Chvatal presents the simplex method and many of its applications from a mathematical point of view.He states and proves theorems,but also provides plenty of motivation.Students who make an effort do develop more mathematical maturity from working through this book.

Chvatal also presents the material from a computational and algorithmic point of view.One of the major points of the book is that the author prefers to use algorithmic proofs.For example, the proof that every standard form LP is either infeasibile, unbounded, or has an optimal BFS is built on the simplex method-Since the algorithm terminates in one of these three states, and can't go into an infinite loop, these are the only possibilities.

Another particular strength of the book is in the presentation of duality theory.The explanation is simply very clear and intuitive.

The one glaring weakness of the book is that it doesn't contain any discussion of interior point methods for linear programming.Since the book was published in the mid 1980's, this is not surprising.In my course, I supplement Chvatal's book with my own lecture notes on interior point methods.

1-0 out of 5 stars garbage
i don't understand why everyone is giving this book such great reviews.as a linear programming student, i find this book extremely difficult to understand, very poorly orgranized, extremely lacking in practical examples to demonstrate the concepts that the author is attempting to describe, and basically a piece of garbage.it was obviously written by a mathematician, not someone capable of teaching.i would not recommend it to anyone.

5-0 out of 5 stars It's a Keeper
I cut my teeth on this text in George Nemhauser's class. The book is clear and concise and does an excellent job explaining this topic to beginners. I've not come across a better introductory text yet. I still have this book in my reference library.

If you want an introduction to LP, this is the text for you. ... Read more

9. Linear Programming: Methods and Applications: Fifth Edition
by Dr. Saul I. Gass
Paperback: 544 Pages (2010-11-18)
list price: US$29.95 -- used & new: US$22.76
(price subject to change: see help)
Asin: 048643284X
Average Customer Review: 4.5 out of 5 stars
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Editorial Review

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Clear and comprehensive, this volume introduces theoretical, computational, and applied concepts and is useful both as text and as a reference book. Considerations of theoretical and computational methods include the general linear programming problem, the simplex computational procedure, the revised simplex method, more. Examples and exercises with selected answers appear in every chapter. 1995 edition.
... Read more

Customer Reviews (2)

4-0 out of 5 stars A solid companion
If you are really interested in Linear Programming this book makes a great resource. It also makes a good companion book if you are studying Operations Research, as the LP component is comprehensive. The book gives a good explanation of the revised simplex method and duality problems. Also,sensitivity analysis is explained and demonstrated in a very straightforward and easy to understand manner.

5-0 out of 5 stars Linear Programming: Methods and Applications: Fifth Edition
This book is excellent for everyone who is studying Linear Programming. What is especially useful is the large number of references that are included at the end of each chapter. The second thing is the inclusion of introductory material in chapters 1 to 4 for the first time student. The third thing that is good is the inclusion of many applications, making the book very useful for the experienced student of Operations Reserch. The fourth is the abundance of exercises at the end of each chapter. I strongly recommend this book for students, especially those who are from disciplines outside Mathematics, who will use computational techniques of Linear Programming. ... Read more

10. Linear and Integer Programming (Prentice-Hall international series in management)
by Stanley Zionts
 Hardcover: 528 Pages (1974-04)

Isbn: 0135367638
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11. Linear Programming: Foundations and Extensions (International Series in Operations Research & Management Science)
by Robert Vanderbei
Hardcover: 464 Pages (2007-11-26)
list price: US$109.00 -- used & new: US$67.98
(price subject to change: see help)
Asin: 0387743871
Average Customer Review: 2.0 out of 5 stars
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This Third Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. You’ll discover a host of practical business applications as well as non-business applications. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered. The book’s accompanying website includes the C programs, JAVA tools, and new online instructional tools and exercises.

... Read more

Customer Reviews (4)

5-0 out of 5 stars A thorough, modern treatment of LP for advanced undergrads, all grad students, and researchers
I learned Linear Programming from the first edition of this book, and I teach using the third edition now.Unlike the previous reviews, I always use this book for a refresher and find it helpful.It is a reference that our graduate students turn to for many years after their first course.

This book gives a thorough treatment of linear models, their properties, duality theory, as well as their extensions.The author is a leading researcher in interior-point methods, and it is great to see a book in which both the simplex method and interior-point methods are presented in almost equal variety and extent.For the simplex method, there are primal, dual, two-phase, and parametric primal-dual variants.For interior-point methods, the author starts with a whole chapter on the geometry and the central path, and presents affine-scaling and homogeneous self-dual methods.All algorithms are demonstrated with examples and summarized in pseudocode, and the author also provides C codes for them on his website.There are also JAVA applets for in-class demonstrations of the simplex method variants.For each method, the author also devotes chapters to implementation issues, which is valuable for someone looking to write their own code to solve real-world problems.Given his expertise in the area, there is much to learn from Vanderbei in these respects.

The extensions are provided to integer programming and convex programming, and applications in network optimization and game theory, among others are presented.The newer editions have been updated with problems arising in financial engineering, a popular topic in OR/MS.

There is more advanced material in the book, especially in the discussion of degeneracy and cycling in the simplex method, the chapter on convexity analysis, and the presentation of the homogeneous self-dual method.These will be crucial for proofs and motivation in a PhD level course, and researchers will benefit from their inclusion and supplementary end-notes of each chapter pointing to key papers in LP. They can easily be omitted for undergrads and MS students.

1-0 out of 5 stars want to learn?dont get this book
I had to get this book for class, and it's horrible.The explanations are sparse...I think the most common explanation (without any explanation previously), is "clearly ___ is the entering variable here".Sometimes, it just says what the next pivot is with.It's clear if you're my professor who contributed to the 3rd edition, but for somebody who's just started learning this, this book is terrible.
Also, the notation is weird.Slack variables are denoted with w's, which confused me a lot until I learned that they should be treated as x(n+1) <--subscript-- for pivoting rules like Bland's.I got Hillier and Lieberman's Intro to Operation Research book, and its much more concise and clear, but maybe that's because this one is just that bad.

1-0 out of 5 stars Not a Clear Book
I fully agree with J. Pierce. I bought this book because I wanted to refresh the things I learned in the university about linear programming. I don't recall these concepts being so difficult and obscure: when the author introduces a new topic, he does so without trying to explain how does it fit into the general subject, he doesn't bother demonstrating most of the important facts in the book and most of them come as a given. I got to the 4th chapter and I decided to look somewhere else!!!

As I said, I did good when I as studying these topics in the university (simplex method and linear programming), and I just wanted something I could read on my kindle to refresh my memory and get me on track for writing an algorithm I need to solve a somewhat complex linear programming model. If this would have been my first book, I would have thought that the topic was really obscure and difficult to understand!!!

Fortunately I have Hillier and Lieberman's Operation Research book on my bookshelf. I will go back to that one, which I know will do the trick. Unfortunately it isn't available for the kindle, and it is as heavy as a brick, which is what I was trying to avoid when I went shopping for a kindle book on the subject.

1-0 out of 5 stars Terrible textbook!
This is not a book from which to learn linear programming.Nor is it a stretch that the author and a profesor(sic) of linear programming (I assume not of spelling) may give this title 5 stars -- they are not attempting to learn the subject that this book fails miserably at teaching.i.e. Note to author: If you use a term, make sure you at least define it somewhere.Except to find the problems that were assigned in my class, my only use for this book was as an object to fling in frustration before finding a decent explanation elsewhere. ... Read more

12. Applied Calculus With Linear Programming for Business, Economics, Life Sciences and Social Sciences
by Raymond A. Barnett
 Hardcover: 974 Pages (1999-07)
list price: US$140.60 -- used & new: US$102.64
(price subject to change: see help)
Asin: 0536024499
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13. Introduction to Linear Optimization (Athena Scientific Series in Optimization and Neural Computation, 6)
by Dimitris Bertsimas, John N. Tsitsiklis
Hardcover: 608 Pages (1997-02-01)
list price: US$89.00 -- used & new: US$89.00
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Asin: 1886529191
Average Customer Review: 4.5 out of 5 stars
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Product Description
This book provides a unified, insightful, and modern treatment of linear optimization, that is, linear programming, network flow problems, and discrete optimization. It includes classical topics as well as the state of the art, in both theory and practice. ... Read more

Customer Reviews (15)

5-0 out of 5 stars Fast delivery and good quality
The used book I ordered was delivered very fast, the used book looks like new.

I am very satisfied with this term.

5-0 out of 5 stars Appreciate the service
Received the book before the expected delivery date in a great condition. Greatly appreciate their service...

4-0 out of 5 stars Satisfied with my purchase
Book is in very good condition without any damage.
Delivery was within a week.

5-0 out of 5 stars Thomas E Seeley
I found this book easier to read than most linear optimization books. In particular, I think they do a good job of explaining duality.

4-0 out of 5 stars Very mathematically rigorous approach
This book somehow differs from other books on linear optimization in its approach. This book is not appropriate for those who want to quickly get hands on simplex algorithm. Those who want to get a sound understanding of the subject and deal with very challenging exercises find this book interesting. The authors are of course very renown in the field. ... Read more

14. Linear Programming and Its Applications (Undergraduate Texts in Mathematics)
by James K. Strayer
Hardcover: 284 Pages (1989-07-25)
list price: US$99.00 -- used & new: US$63.97
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Asin: 0387969306
Average Customer Review: 5.0 out of 5 stars
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The effectiveness of the algorithms of linear programming in solving problems is largely dependent upon the particular applications from which these problems arise. A first course in linear programming should not only allow one to solve many different types of problems in many different contexts but should provide deeper insights into the fields in which linear programming finds its utility. To this end, the emphasis throughtout Linear Programming and Its Applications is on the acquisition of linear programming skills via the algorithmic solution of small-scale problems both in the general sense and in the specific applications where these problems naturally occur. The first part of the book deals with methods to solve general linear programming problems and discusses the theory of duality which connects these problems. The second part of the book deals with linear programming in different applications including the fields of game theory and graph theory as well as the more traditional transportation and assignment problems. The book is versatile; in as much as Linear Programming and Its Applications is intended to be used as a first course in linear programming, it is suitable for students in such varying fields as mathematics, computer science, engineering, actuarial science, and economics. ... Read more

Customer Reviews (1)

5-0 out of 5 stars highly erudite
I took the class for which this book was used as a sophomore, and found it to be very accessible.In retrospect, I would have liked to have studied some linear algebra before having taken this course, but still, I foundthis to be a very interesting course as a stand-alone. ... Read more

15. Linear Programming
by James P. Ignizio, Tom M. Cavalier
Paperback: 666 Pages (1993-11-12)
list price: US$130.00 -- used & new: US$89.99
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Asin: 0131837575
Average Customer Review: 5.0 out of 5 stars
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Customer Reviews (2)

5-0 out of 5 stars Great book
Great book to accompany any graduate text on Linear Programming. This book is more heavily on practicality than on the theory. Use one book for the the theory and this book to help you workout problems, and see how the theory is applied.

5-0 out of 5 stars Excellent Introduction to LP
I think this is one of the best introductions to Linear Programming. It is a book for both an introductory undergrad LP course or as a supplement (to brush-up and review) to a more theoretical LP course.

I had Dr. Cavalier (the other co-author of this book) in a highly theoretical LP grad course and found him to be the best teacher I've ever had. That fluency and clarity in explanation is carried through to the book. Although this text was not used in that course, I found it to be a good reference to some of the concepts. Regretably, I 'discovered' this book only at the end of my course but have refered to it since.

The book covers both introductory LP methodology and applications and also goes into some of the basic level theory behind these techniques. It also introduces concepts in Integer Programming well. The explanations of the dual simplex, parametric programming, etc. are all excellent.

Make no mistake though, this is a book that sticks almost entirely to LP unlike some of the other introductory OR books by Hillier & Lieberman, Winston, etc. If you are looking for one of these 1000pg all inclusive books, then you might find this book incomplete. For LP, give this book a look. ... Read more

16. Production Planning by Mixed Integer Programming (Springer Series in Operations Research and Financial Engineering)
by Yves Pochet, Laurence A. Wolsey
Paperback: 477 Pages (2010-11-02)
list price: US$64.95 -- used & new: US$52.25
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Asin: 144192132X
Average Customer Review: 4.5 out of 5 stars
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This textbook provides a comprehensive modeling, reformulation and optimization approach for solving production planning and supply chain planning problems, covering topics from a basic introduction to planning systems, mixed integer programming (MIP) models and algorithms through the advanced description of mathematical results in polyhedral combinatorics required to solve these problems.

Based on twenty years worth of research in which the authors have played a significant role, the book addresses real life industrial production planning problems (involving complex production structures with multiple production stages) using MIP modeling and reformulation approach.

The book provides an introduction to MIP modeling and to planning systems, a unique collection of reformulation results, and an easy to use problem-solving library. This approach is demonstrated through a series of real life case studies, exercises and detailed illustrations.


Review by Jakub Marecek (Computer Journal) The emphasis put on mixed integer rounding and mixing sets, heuristics in-built in general purpose integer programming solvers, as well as on decompositions and heuristics using integer programming should be praised... There is no doubt that this volume offers the present best introduction to integer programming formulations of lotsizing problems, encountered in production planning. (2007)

... Read more

Customer Reviews (2)

5-0 out of 5 stars Very Good Text
I would highly recommend thsi book for those of you interested in LP and MIP. The text is very well written with a lot of examples and explainations.

4-0 out of 5 stars The Present Best on Integer Programming Formulations of Lot-Sizing
Stemming from the previous work of Wolsey and others, the book aims to be a cook-book of sorts, helping the practitioner to pick the right formulation to be fed into a modern general purpose integer programming solver. Hiding most of the underlying polyhedral theory behind computational experience with Dash Xpress-MP, the treatment
truly is applicable.

The book assumes little knowledge but basic linear algebra. In more than 170 pages, Chapters 1-3, 6, and 8 provide a very up-to-date, but not overly rigorous introduction to integer programming and production planning with emphasis is on mixed integer rounding and mixing sets, heuristics in-built in general purpose integer programming solvers, decompositions, and heuristics using integer programming. Classification of lot-sizing problems and their integer programming formulations is provided in Chapter 4. Uncapacitated (LS-U), constant capacitated (LS-CC), and general capacitated (LS-C) single-item lot-sizing problems, both continuous and discrete, are covered in some detail in Chapters 7 and 9. Chapter 10 covers extensions involving backlogging and start-up times. Finally, multi-item problems are touched upon in Chapter 11.

For a full review, see DOI 10.1093/comjnl/bxm071 (http://dx.doi.org/10.1093/comjnl/bxm071). ... Read more

17. Linear Programming: Basic Theory and Applications (McGraw-Hill series in quantitative methods for management)
by Leonard W. Swanson
 Hardcover: 218 Pages (1979-10-01)
-- used & new: US$68.74
(price subject to change: see help)
Asin: 0070625808
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18. Basic Linear Programming
by Brian Bunday
 Paperback: 172 Pages (1984-10)
list price: US$19.95 -- used & new: US$136.58
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Asin: 0713135093
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19. Applied Optimization with MATLAB Programming
by P. Venkataraman
Hardcover: 544 Pages (2009-03-23)
list price: US$140.00 -- used & new: US$40.47
(price subject to change: see help)
Asin: 047008488X
Average Customer Review: 3.0 out of 5 stars
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Provides all the tools needed to begin solving optimization problems using MATLAB®

The Second Edition of Applied Optimization with MATLAB® Programming enables readers to harness all the features of MATLAB® to solve optimization problems using a variety of linear and nonlinear design optimization techniques. By breaking down complex mathematical concepts into simple ideas and offering plenty of easy-to-follow examples, this text is an ideal introduction to the field.Examples come from all engineering disciplines as well as science, economics, operations research, and mathematics, helping readers understand how to apply optimization techniques to solve actual problems.

This Second Edition has been thoroughly revised, incorporating current optimization techniques as well as the improved MATLAB® tools.Two important new features of the text are:

  • Introduction to the scan and zoom method, providing a simple, effective technique that works for unconstrained, constrained, and global optimization problems

  • New chapter, Hybrid Mathematics: An Application, using examples to illustrate how optimization can develop analytical or explicit solutions to differential systems and data-fitting problems

Each chapter ends with a set of problems that give readers an opportunity to put their new skills into practice.Almost all of the numerical techniques covered in the text are supported by MATLAB® code, which readers can download on the text's companion Web site www.wiley.com/go/venkat2e and use to begin solving problems on their own.

This text is recommended for upper-level undergraduate and graduate students in all areas of engineering as well as other disciplines that use optimization techniques to solve design problems. ... Read more

Customer Reviews (4)

1-0 out of 5 stars Maybe for someone....
This textbook was required for my Optimization Methods class for a group of Systems Engineers with varrying specialities.This book is written with the assumption that everyone using it has a strong background in mechanics and materials. My classmates and I are majoring in Systems Engineering and all have varying foci (Mechanical, Electrical, Computer, and Telecommunication Engineering). Most of the people in my class have never even had a mechanics and materials class, and those that have do not consider themselves prepared enough to use this text book.

All in all, this book is highly impractical for my (and my classmate's) usage.

The good news:It was cheap on Amazon.

1-0 out of 5 stars worst ever!!!
I've had Dr. Venkat as a professor for 3 classes at RIT and he is by far the worst I have ever had.DO NOT BUY HIS BOOK! It will only make you dumber! That is how I feel after coming out of his class.I believe the reviewer that says the website is a main resource, he points us to the class site all the time with no helpful information, and because he can't answer the questions himself on the spot.Are you buying a book or a website?I think that's all the helpful information I have for now.

5-0 out of 5 stars How to learn and use MATLAB quickly!
Excellent source for all people who don't have time to study MATLAB in-depth. A lot of useful examples help anyone to create his/her own code in no time!

5-0 out of 5 stars Great self teaching tool
In this text the author chooses MATLAB as the tool in running computer-based optimization problems.This approach clearly covers all levels of optimization, and the book further supports this coverage through many helpful examples that balance theory with the application.The open-ended problems that are provided are a helpful mechanism for reinforcing the lessons of the text. The website that is a companion to the book, helped me access the reference links to the MATLAB software and the author's own personal site. This web site is a true lifeline to the book. ... Read more

20. Fuzzy Geometric Programming (Applied Optimization)
by Bing-Yuan Cao
Hardcover: 288 Pages (2002-10-31)
list price: US$179.00 -- used & new: US$165.12
(price subject to change: see help)
Asin: 1402008767
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Product Description
Provides readers with a thorough understanding of fuzzy geometric programming. Discusses problems including antinomy in fuzzy geometric programming as well as practical examples from the industry. ... Read more

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