Linear Programs And Related Problems

Author : Evar D. Nering,Albert W. Tucker
Publisher : Academic Press
Page : 618 pages
File Size : 52,5 Mb
Release : 1993
Category : Computers
ISBN : 0125154402

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Linear Programs and Related Problems by Evar D. Nering,Albert W. Tucker Pdf

This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.

Author : Evar D. Nering,Albert W. Tucker
Publisher : Academic Press
Page : 584 pages
File Size : 46,9 Mb
Release : 1992-10
Category : Computers
ISBN : 1493301691

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Linear Programs & Related Problems: A Volume in the Computer Science and Scientific Computing Series by Evar D. Nering,Albert W. Tucker Pdf

This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.

Author : Miroslav Fiedler,Josef Nedoma,Jaroslav Ramik,Jiri Rohn,Karel Zimmermann
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 46,6 Mb
Release : 2006-07-18
Category : Mathematics
ISBN : 9780387326986

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Linear Optimization Problems with Inexact Data by Miroslav Fiedler,Josef Nedoma,Jaroslav Ramik,Jiri Rohn,Karel Zimmermann Pdf

Linear programming has attracted the interest of mathematicians since World War II when the first computers were constructed. Early attempts to apply linear programming methods practical problems failed, in part because of the inexactness of the data used to create the models. This book presents a comprehensive treatment of linear optimization with inexact data, summarizing existing results and presenting new ones within a unifying framework.

Author : Nimrod Megiddo
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461396178

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Progress in Mathematical Programming by Nimrod Megiddo Pdf

The starting point of this volume was a conference entitled "Progress in Mathematical Programming," held at the Asilomar Conference Center in Pacific Grove, California, March 1-4, 1987. The main topic of the conference was developments in the theory and practice of linear programming since Karmarkar's algorithm. There were thirty presentations and approximately fifty people attended. Presentations included new algorithms, new analyses of algorithms, reports on computational experience, and some other topics related to the practice of mathematical programming. Interestingly, most of the progress reported at the conference was on the theoretical side. Several new polynomial algorithms for linear program ming were presented (Barnes-Chopra-Jensen, Goldfarb-Mehrotra, Gonzaga, Kojima-Mizuno-Yoshise, Renegar, Todd, Vaidya, and Ye). Other algorithms presented were by Betke-Gritzmann, Blum, Gill-Murray-Saunders-Wright, Nazareth, Vial, and Zikan-Cottle. Efforts in the theoretical analysis of algo rithms were also reported (Anstreicher, Bayer-Lagarias, Imai, Lagarias, Megiddo-Shub, Lagarias, Smale, and Vanderbei). Computational experiences were reported by Lustig, Tomlin, Todd, Tone, Ye, and Zikan-Cottle. Of special interest, although not in the main direction discussed at the conference, was the report by Rinaldi on the practical solution of some large traveling salesman problems. At the time of the conference, it was still not clear whether the new algorithms developed since Karmarkar's algorithm would replace the simplex method in practice. Alan Hoffman presented results on conditions under which linear programming problems can be solved by greedy algorithms."

Author : Bernard Kolman,Robert E. Beck
Publisher : Elsevier
Page : 416 pages
File Size : 43,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483269689

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Elementary Linear Programming with Applications by Bernard Kolman,Robert E. Beck Pdf

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 : Paul R. Thie,Gerard E. Keough
Publisher : John Wiley & Sons
Page : 476 pages
File Size : 54,7 Mb
Release : 2011-09-15
Category : Mathematics
ISBN : 9781118165454

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An Introduction to Linear Programming and Game Theory by Paul R. Thie,Gerard E. Keough Pdf

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.

Author : Eric V. Denardo
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 42,8 Mb
Release : 2011-07-25
Category : Business & Economics
ISBN : 9781441964915

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Linear Programming and Generalizations by Eric V. Denardo Pdf

This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. • investigate game theory and nonlinear optimization, • link the subject to economic reasoning, and • present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the student’s interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the student’s grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics.

Author : S. Vajda
Publisher : Unknown
Page : 250 pages
File Size : 43,7 Mb
Release : 1975
Category : Linear programming
ISBN : 0852642369

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Problems in Linear and Nonlinear Programming by S. Vajda Pdf

Author : Nikolaos Ploskas,Nikolaos Samaras
Publisher : Springer
Page : 646 pages
File Size : 45,9 Mb
Release : 2017-10-28
Category : Mathematics
ISBN : 9783319659190

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Linear Programming Using MATLAB® by Nikolaos Ploskas,Nikolaos Samaras Pdf

This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical background and mathematical formulation is included for each algorithm as well as comprehensive numerical examples and corresponding MATLAB® code. The MATLAB® implementations presented in this book are sophisticated and allow users to find solutions to large-scale benchmark linear programs. Each algorithm is followed by a computational study on benchmark problems that analyze the computational behavior of the presented algorithms. As a solid companion to existing algorithmic-specific literature, this book will be useful to researchers, scientists, mathematical programmers, and students with a basic knowledge of linear algebra and calculus. The clear presentation enables the reader to understand and utilize all components of simplex-type methods, such as presolve techniques, scaling techniques, pivoting rules, basis update methods, and sensitivity analysis.

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 55,6 Mb
Release : 2013-07-16
Category : Business & Economics
ISBN : 9781461476306

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Linear Programming by Robert J Vanderbei Pdf

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 : Michael C. Ferris,Olvi L. Mangasarian,Stephen J. Wright
Publisher : SIAM
Page : 277 pages
File Size : 53,6 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 0898718775

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Linear Programming with MATLAB by Michael C. Ferris,Olvi L. Mangasarian,Stephen J. Wright Pdf

This textbook provides a self-contained introduction to linear programming using MATLAB software to elucidate the development of algorithms and theory. Early chapters cover linear algebra basics, the simplex method, duality, the solving of large linear problems, sensitivity analysis, and parametric linear programming. In later chapters, the authors discuss quadratic programming, linear complementarity, interior-point methods, and selected applications of linear programming to approximation and classification problems. Exercises are interwoven with the theory presented in each chapter, and two appendices provide additional information on linear algebra, convexity, nonlinear functions, and on available MATLAB commands, respectively. Readers can access MATLAB codes and associated mex files at a Web site maintained by the authors. Only a basic knowledge of linear algebra and calculus is required to understand this textbook, which is geared toward junior and senior-level undergraduate students, first-year graduate students, and researchers unfamiliar with linear programming.

Author : Michael R. Greenberg
Publisher : Elsevier
Page : 346 pages
File Size : 53,5 Mb
Release : 2013-09-25
Category : Reference
ISBN : 9781483273747

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Applied Linear Programming by Michael R. Greenberg Pdf

Applied Linear Programming for the Socioeconomic and Environmental Sciences discusses applications of linear and related programming to help in the transformation of the student or reader from book learning to computer use. The author reviews the theory, methods and applications of linear programming. The author also presents some programming codes that can be used in solving linear programming problems. He describes processes such as parametric programming, sensitivity analysis, and postoptimal analysis. The author lists five possible applications of linear programming, as follows: 1) estimates involving supply of and demand for services; 2) transport and schedule planning; 3) scale, technologies, and optimal site selection; (4) evaluation of impact of activates; and 5) evaluation of alternative options. The author cites a case study of solid-waste management in New Jersey that is common to other areas: availability of disposal sites, increasing amounts of garbage, and stricter environmental regulations. This book can be appreciated by environmentalist, sociologists, economists, civil engineers, and students and professors of advance mathematics and linear programming.

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 45,7 Mb
Release : 2007-10-23
Category : Business & Economics
ISBN : 9780387743882

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Linear Programming by Robert J Vanderbei Pdf

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.

Author : S. Vajda
Publisher : Unknown
Page : 268 pages
File Size : 48,7 Mb
Release : 1975
Category : Linear programming
ISBN : PSU:000026157344

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Problems in Linear and Nonlinear Programming by S. Vajda Pdf

Author : Jean-Bernard Lasserre
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 53,9 Mb
Release : 2009-04-21
Category : Business & Economics
ISBN : 9780387094144

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Linear and Integer Programming vs Linear Integration and Counting by Jean-Bernard Lasserre Pdf

This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.