Linear Optimization And Extensions

Author : Manfred Padberg
Publisher : Springer Science & Business Media
ISBN 13 : 3662122731
Total Pages : 521 pages
Book Rating : 4.30/5 ( download)

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Download or read book Linear Optimization and Extensions written by Manfred Padberg and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Do you know M.Padberg's Linear Optimization and Extensions? [...] Now here is the continuation of it, discussing the solutions of all its exercises and with detailed analysis of the applications mentioned. Tell your students about it. [...] For those who strive for good exercises and case studies for LP this is an excellent volume." Acta Scientiarum Mathematicarum

Author : Robert J. Vanderbei
Publisher : Springer
ISBN 13 : 0792381416
Total Pages : 440 pages
Book Rating : 4.19/5 ( download)

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Download or read book Linear Programming: Foundations and Extensions written by Robert J. Vanderbei and published by Springer. This book was released on 1998-03-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well. This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it. Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available: The two-phase simplex method The primal-dual simplex method The path-following interior-point method The homogeneous self-dual methods.£/LIST£.

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
ISBN 13 : 1461476305
Total Pages : 414 pages
Book Rating : 4.06/5 ( download)

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Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Dimitris Alevras
Publisher : Springer Science & Business Media
ISBN 13 : 9783540417446
Total Pages : 466 pages
Book Rating : 4.43/5 ( download)

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Download or read book Linear Optimization and Extensions written by Dimitris Alevras and published by Springer Science & Business Media. This book was released on 2001-06-11 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive treatment of the exercises and case studies as well as summaries of the chapters of the book "Linear Optimization and Extensions" by Manfred Padberg. It covers the areas of linear programming and the optimization of linear functions over polyhedra in finite dimensional Euclidean vector spaces. Here are the main topics treated in the book: Simplex algorithms and their derivatives including the duality theory of linear programming. Polyhedral theory, pointwise and linear descriptions of polyhedra, double description algorithms, Gaussian elimination with and without division, the complexity of simplex steps. Projective algorithms, the geometry of projective algorithms, Newtonian barrier methods. Ellipsoids algorithms in perfect and in finite precision arithmetic, the equivalence of linear optimization and polyhedral separation. The foundations of mixed-integer programming and combinatorial optimization.

Author : Roy H. Kwon
Publisher : CRC Press
ISBN 13 : 1482204347
Total Pages : 356 pages
Book Rating : 4.46/5 ( download)

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Download or read book Introduction to Linear Optimization and Extensions with MATLAB written by Roy H. Kwon and published by CRC Press. This book was released on 2013-09-05 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling the need for an introductory book on linear programming that discusses the important ways to mitigate parameter uncertainty, Introduction to Linear Optimization and Extensions with MATLAB provides a concrete and intuitive yet rigorous introduction to modern linear optimization. In addition to fundamental topics, the book discusses current l

Author : Roy H. Kwon
Publisher : CRC Press
ISBN 13 : 9781439862636
Total Pages : 0 pages
Book Rating : 4.3X/5 ( download)

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Download or read book Introduction to Linear Optimization and Extensions with MATLAB® written by Roy H. Kwon and published by CRC Press. This book was released on 2013-09-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling the need for an introductory book on linear programming that discusses the important ways to mitigate parameter uncertainty, Introduction to Linear Optimization and Extensions with MATLAB® provides a concrete and intuitive yet rigorous introduction to modern linear optimization. In addition to fundamental topics, the book discusses current linear optimization technologies such as predictor-path following interior point methods for both linear and quadratic optimization as well as the inclusion of linear optimization of uncertainty i.e. stochastic programming with recourse and robust optimization. The author introduces both stochastic programming and robust optimization as frameworks to deal with parameter uncertainty. The author’s unusual approach—developing these topics in an introductory book—highlights their importance. Since most applications require decisions to be made in the face of uncertainty, the early introduction of these topics facilitates decision making in real world environments. The author also includes applications and case studies from finance and supply chain management that involve the use of MATLAB. Even though there are several LP texts in the marketplace, most do not cover data uncertainty using stochastic programming and robust optimization techniques. Most emphasize the use of MS Excel, while this book uses MATLAB which is the primary tool of many engineers, including financial engineers. The book focuses on state-of-the-art methods for dealing with parameter uncertainty in linear programming, rigorously developing theory and methods. But more importantly, the author’s meticulous attention to developing intuition before presenting theory makes the material come alive.

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
ISBN 13 : 1475756623
Total Pages : 451 pages
Book Rating : 4.23/5 ( download)

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Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to optimization. It details constrained optimization, beginning with a substantial treatment of linear programming and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Coverage underscores the purpose of optimization: to solve practical problems on a computer. C programs that implement the major algorithms and JAVA tools are available online.

Author : Bernard Kolman
Publisher : Elsevier
ISBN 13 : 148326968X
Total Pages : 417 pages
Book Rating : 4.89/5 ( download)

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Download or read book Elementary Linear Programming with Applications written by Bernard Kolman and published by Elsevier. This book was released on 2014-05-10 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Programming with Applications presents a survey of the basic ideas in linear programming and related areas. It also provides students with some of the tools used in solving difficult problems which will prove useful in their professional career. The text is comprised of six chapters. The Prologue gives a brief survey of operations research and discusses the different steps in solving an operations research problem. Chapter 0 gives a quick review of the necessary linear algebra. Chapter 1 deals with the basic necessary geometric ideas in Rn. Chapter 2 introduces linear programming with examples of the problems to be considered, and presents the simplex method as an algorithm for solving linear programming problems. Chapter 3 covers further topics in linear programming, including duality theory and sensitivity analysis. Chapter 4 presents an introduction to integer programming. Chapter 5 covers a few of the more important topics in network flows. Students of business, engineering, computer science, and mathematics will find the book very useful.

Author : George B. Dantzig
Publisher : Springer Science & Business Media
ISBN 13 : 0387215697
Total Pages : 461 pages
Book Rating : 4.93/5 ( download)

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Download or read book Linear Programming 2 written by George B. Dantzig and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Dantzig is widely regarded as the founder of this subject with his invention of the simplex algorithm in the 1940's. In this second volume, the theory of the items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering and applied mathematics will thus find this volume of particular interest.

Author : Alevras
Publisher :
ISBN 13 : 9788184895247
Total Pages : 458 pages
Book Rating : 4.40/5 ( download)

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Download or read book Linear Optimization And Extensions: Problems And Solutions written by Alevras and published by . This book was released on 2009-12-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive treatment of the exercises and case studies as well as summaries of the chapters of the book "Linear optimization and extension" by manfred padberg, together with several new exercises and minicases with their solutions. It covers the areas of linear programming and the optimization of linear functions over polyhedra in finite dimensional euclidean vector spaces.