Excel add-ins - Almost all of the examples in the text are solved with Excel, and solution files are included in the CD.
Book Description
Models, Methods, Concepts and Applications of the Analytic Hierarchy
Process is a volume dedicated to selected applications of the Analytic Hierarchy Process (AHP) focused on three themes: economics, the social sciences, and the linking of measurement with human values. (1) The AHP offers economists a substantially different approach to dealing with economic problems through ratio scales. The main mathematical models on which economics has based its quantitative thinking up to now are utility theory, which uses interval scales, and linear programming. We hope that the variety of examples included here can perhaps stimulate researchers in economics to try applying this new approach. (2) The second theme is concerned with the social sciences. The AHP offers psychologists and political scientists the methodology to quantify and derive measurements for intangibles. We hope that the examples included in this book will encourage them to examine the methods of AHP in terms of the problems they seek to solve. (3) The third theme is concerned with providing people in the physical and engineering sciences with a quantitative method to link hard measurement to human values. In such a process one needs to interpret what the measurements mean. A number is useless until someone understands what it means. It can have different meanings in different problems. Ten dollars are plenty to satisfy one's hunger but are useless by themselves in buying a new car. Such measurements are only indicators of the state of a system, but do not relate to the values of the human observers of that system. AHP methods can help resolve the conflicts between hard measurement data and human values.
Book Description
Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization.
The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with a large number of numerical examples worked out in detail.
Moreover,
Linear Programming: Foundations and Extensions underscores the purpose of optimization: to solve practical problems on a computer. Accordingly, the book is coordinated with free efficient C programs that implement the major algorithms studied:
-The two-phase simplex method; -The primal-dual simplex method; -The path-following interior-point method; -The homogeneous self-dual methods.
In addition, there are online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's webpage:
. Also, check the book's webpage for new online instructional tools and exercises that have been added in the new edition.
Customer Reviews:
Professor Robert Freund's review.......2004-04-30
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.
Excellent book.......2002-07-18
Very clearly written. Unlike most math books, the notation is easy to understand for engineers and programmers. I found the free online version first, and then decided to buy the hard copy.
Profesor.......2001-04-11
That book is excelent from class and practice. Very important in undergraduate and postgraduate. Thanks you.
Average customer rating:
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Integrated Methods for Optimization (International Series in Operations Research & Management Science)
John N. Hooker
Manufacturer: Springer
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Book Description
Integrated Methods for Optimization integrates the key concepts of Mathematical Programming and Constraint Programming into a unified framework that allows them to be generalized and combined. The unification of MP and CP creates optimization methods that have much greater modeling power, increased computational speed, and a sizeable reduction computational coding. Hence the benefits of this integration are substantial, providing the Applied Sciences with a powerful, high-level modeling solution for optimization problems. As reviewers of the book have noted, this integration along with constraint programming being incorporated into a number of programming languages, brings the field a step closer to being able to simply state a problem and having the computer solve it.
John Hooker is a leading researcher in both the Optimization and Constraint Programming research communities. He has been an instrumental principal for this integration, and over the years, he has given numerous presentations and tutorials on the integration of these two areas. It is felt by many in the field that the future Optimization courses will increasingly be taught from this integrated framework.
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Decomposition Techniques in Mathematical Programming: Engineering and Science Applications
Antonio .J. Conejo ,
Enrique Castillo ,
Roberto Minguez , and
Raquel Garcia-Bertrand
Manufacturer: Springer
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ASIN: 3540276858 |
Book Description
This textbook for students and practitioners presents a practical approach to decomposition techniques in optimization. It provides an appropriate blend of theoretical background and practical applications in engineering and science, which makes the book interesting for practitioners, as well as engineering, operations research and applied economics graduate and postgraduate students. "Decomposition Techniques in Mathematical Programming" is based on clarifying, illustrative and computational examples and applications from electrical, mechanical, energy and civil engineering as well as applied mathematics and economics. It addresses decomposition in linear programming, mixed-integer linear programming, nonlinear programming, and mixed-integer nonlinear programming, and provides rigorous decomposition algorithms as well as heuristic ones. Practical applications are developed up to working algorithms that can be readily used. The theoretical background of the book is deep enough to be of interest to applied mathematicians. It includes end of chapter exercises and the solutions of the even numbered exercises are included as an appendix.
Book Description
This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should also be of interest to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics. It can be used as a course text or for self study.
Customer Reviews:
Fantastic - for the scientist.......2007-07-18
A very good book: buy it. But only if you are a scientist or student of physics/mathematics. This is not popular-science-common-public level.
a book worth keeping.......2007-05-01
This book can be quite confusing if you start without any background on the idea of manifold or knows nothing about general relativity. However, it does have strong points:
1. The notation is very up-to-date, and is entirely coordinate-independant approach.
2. The author explains in great details of formulation of modern differential geometry, and the details are comparatively lacking in other reference books.
3. The author never hesitate to use graphs and diagrams to illustrate points, and stroke nice balance in between mathematics rigor and physical insight.
Although it appears quite verbose at some point, it is mainly because differential geometry is such a heavy subject. Another book nice to have as companion reading is Goldburg's "Tensor analysis on Manifold", a terse, well-written text book.
Phenomenal .......2006-11-13
I just finished reading this book and I found it phenomenal. The physical ideas are made very clear in a natural mathematical framework.
You should buy this, despite its flaws.......2006-03-03
The other reviews on this page give this book anywhere from 1 to 5 stars, and they are all correct in their own way. The book is inspired, deep and full of physics applications and insights. On the other hand, it skims over mathematical rigor to a large degree and focuses more on defining things, getting a feel for them and moving on to application.
My advice: buy the book for its strengths, and read other books in parallel if you need more rigor. But still, buy it.
Also, things can be confusing on the first two or three reads, but keep at it and you will be glad you did.
The perfect first book in differential geometry.......2005-01-28
Differential geometry can be a very intimidating subject due to its heavy formalism. There are complete books (such as Kobayashi& Nomizu) very good as reference books, and there very few books that show the reader the picture behind the formulas.
This is one such book. It tells you the intuition behind each construction and from this point of view it has many things in common with Arnold's famous book on Math. Methods in Classical Mechanics. But where as Arnold does not pay too much attention to formalism, this book achieves this task as well. It shows the reader how to do those impossible computations as well.
This is definitely the first place to look at if you want to really learn differential geometry. If it seems difficult it is only because the subject is so.
Book Description
This text presents the various mathematical methods used in militaryoperations research in one easy-to-use reference volume.
The reader will find the calculations necessary to analyze all aspects of defense operations, from weapon performance to combat modeling. The text is so clearly written and organized that even newcomers to the field will find it useful.
Included with the text is an updated version of Defense Analyses Software, a compendium of software subroutines that allow the reader to compute numerical values for functions or tables derived in the text. Each subroutine is provided with a detailed reference to the equation from which it was derived to ensure that its intended application is consistent with the assumptions used in the derivation. The 2nd Edition included a new chapter on optimization methods with several typical examples showing applications of linear programming. The 3rd Edition has a new chapter on the theater missile defense based on the concept of layered defense with different strategies of allocating defense interceptors against short- or mid-range ballistic missiles.
This text is a highly recommended reference for defense analysts, researchers, and professionals entering the field of military operations research.
Customer Reviews:
Mathematical Methods in Defense Analyses, Third Edition.......2000-06-05
This continues to be a comprehensive text on many useful mathematical and statistical techniques with particular relevance to the modelling of Defence operations. Familiar topics include combat modelling, which is analysed in more depth than in most other books. However, this topic like others in this book, suffers from explanations which are not always to the point or as clear as they could be. This third edition has two new chapters, one on optimisation methods with examples of the application of linear programming The other new chapter presents the sort of `analysis' which has become prevalent in Defence; really more of a scenario exploration, and considers in particular theatre missile defence. Possibly the most valuable addition to this new edition is the updated `Defense Analysis Software', which anyone wishing to seriously use or teach this sort of material to advanced undergraduate or postgraduate students, will find very useful. I would recommend this new edition to all people working with models of Defence activities and as a reasonable text for courses, although the price remains a little high.
Mathematical Methods in Defense Analyses, Third Edition.......2000-06-05
This continues to be a comprehensive text on many useful mathematical and statistical techniques with particular relevance to the modelling of Defence operations. Familiar topics include combat modelling, which is analysed in more depth than in most other books. However, this topic like others in this book, suffers from explanations which are not always to the point or as clear as they could be. This third edition has two new chapters, one on optimisation methods with examples of the application of linear programming The other new chapter presents the sort of `analysis' which has become prevalent in Defence; really more of a scenario exploration, and considers in particular theatre missile defence. Possibly the most valuable addition to this new edition is the updated `Defense Analysis Software', which anyone wishing to seriously use or teach this sort of material to advanced undergraduate or postgraduate students, will find very useful. I would recommend this new edition to all people working with models of Defence activities and as a reasonable text for courses, although the price remains a little high.
Book Description
Optimization problems arising in practice involve random parameters. For the computation of robust optimal solutions, i.e., optimal solutions being insensitive with respect to random parameter variations, deterministic substitute problems are needed. Based on the distribution of the random data, and using decision theoretical concepts, optimization problems under stochastic uncertainty are converted into deterministic substitute problems. Due to the occurring probabilities and expectations, approximative solution techniques must be applied. Deterministic and stochastic approximation methods and their analytical properties are provided: Taylor expansion, regression and response surface methods, probability inequalities, First Order Reliability Methods, convex approximation/deterministic descent directions/efficient points, stochastic approximation methods, differentiation of probability and mean value functions. Convergence results of the resulting iterative solution procedures are given.
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Quantitative Health Risk Analysis Methods: Modeling the Human Health Impacts of Antibiotics Used in Food Animals (International Series in Operations Research & Management Science)
Jr., Louis Anthony Cox
Manufacturer: Springer
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ASIN: 0387259090 |
Book Description
Worldwide health care problems are a hot, growing application in Operations Research. Along with a quickly growing field is an active community of Medical OR and Risk Analysis researchers. Tony Cox is one of the leading research scholars in the field of Risk Heath Risk. His work on health risk modeling will be synthesized along with the work of others on modeling human health risks. The monograph will cover a range of modeling and methodological issues including environmental, experimental, simulation, and mathematical modeling approaches.
Books:
- Small Is the New Big: and 183 Other Riffs, Rants, and Remarkable Business Ideas
- Spreadsheet Modeling and Decision Analysis (with CD-ROM and Microsoft Project 2003 120 day version)
- Starting an eBay Business for Dummies
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- Taxes and Business Strategy: A Planning Approach (3rd Edition)
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Introduction to Operations Research and Revised CD-ROM 8
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