Understanding and Using Linear Programming

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Release : 2007-07-04
Genre : Mathematics
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Book Rating : 176/5 ( reviews)

Understanding and Using Linear Programming - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Understanding and Using Linear Programming write by Jiri Matousek. This book was released on 2007-07-04. Understanding and Using Linear Programming available in PDF, EPUB and Kindle. 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".

An Introduction to Linear Programming and Game Theory

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Release : 2011-09-15
Genre : Mathematics
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Book Rating : 454/5 ( reviews)

An Introduction to Linear Programming and Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Linear Programming and Game Theory write by Paul R. Thie. This book was released on 2011-09-15. An Introduction to Linear Programming and Game Theory available in PDF, EPUB and Kindle. Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.

Linear Programming

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Release : 2013-07-16
Genre : Business & Economics
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Book Rating : 305/5 ( reviews)

Linear Programming - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Programming write by Robert J Vanderbei. This book was released on 2013-07-16. Linear Programming available in PDF, EPUB and Kindle. This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides 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 website. The website also includes new online instructional tools and exercises.

Modeling and Solving Linear Programming with R

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Release : 2015-09-09
Genre : Mathematics
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Book Rating : 936/5 ( reviews)

Modeling and Solving Linear Programming with R - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling and Solving Linear Programming with R write by Jose M. Sallan. This book was released on 2015-09-09. Modeling and Solving Linear Programming with R available in PDF, EPUB and Kindle. Linear programming is one of the most extensively used techniques in the toolbox of quantitative methods of optimization. One of the reasons of the popularity of linear programming is that it allows to model a large variety of situations with a simple framework. Furthermore, a linear program is relatively easy to solve. The simplex method allows to solve most linear programs efficiently, and the Karmarkar interior-point method allows a more efficient solving of some kinds of linear programming. The power of linear programming is greatly enhanced when came the opportunity of solving integer and mixed integer linear programming. In these models all or some of the decision variables are integers, respectively. In this book we provide a brief introduction to linear programming, together with a set of exercises that introduce some applications of linear programming. We will also provide an introduction to solve linear programming in R. For each problem a possible solution through linear programming is introduced, together with the code to solve it in R and its numerical solution.

Theory of Linear and Integer Programming

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Release : 1998-06-11
Genre : Mathematics
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Book Rating : 326/5 ( reviews)

Theory of Linear and Integer Programming - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Linear and Integer Programming write by Alexander Schrijver. This book was released on 1998-06-11. Theory of Linear and Integer Programming available in PDF, EPUB and Kindle. Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.