Simplex Method And Theory

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The Simplex Method

Author : Karl Heinz Borgwardt
Publisher : Springer Science & Business Media
ISBN 13 : 3642615783
Total Pages : 279 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis The Simplex Method by : Karl Heinz Borgwardt

Download or read book The Simplex Method written by Karl Heinz Borgwardt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 35 years now, George B. Dantzig's Simplex-Method has been the most efficient mathematical tool for solving linear programming problems. It is proba bly that mathematical algorithm for which the most computation time on computers is spent. This fact explains the great interest of experts and of the public to understand the method and its efficiency. But there are linear programming problems which will not be solved by a given variant of the Simplex-Method in an acceptable time. The discrepancy between this (negative) theoretical result and the good practical behaviour of the method has caused a great fascination for many years. While the "worst-case analysis" of some variants of the method shows that this is not a "good" algorithm in the usual sense of complexity theory, it seems to be useful to apply other criteria for a judgement concerning the quality of the algorithm. One of these criteria is the average computation time, which amounts to an anal ysis of the average number of elementary arithmetic computations and of the number of pivot steps. A rigid analysis of the average behaviour may be very helpful for the decision which algorithm and which variant shall be used in practical applications. The subject and purpose of this book is to explain the great efficiency in prac tice by assuming certain distributions on the "real-world" -problems. Other stochastic models are realistic as well and so this analysis should be considered as one of many possibilities.

An Introduction to Linear Programming and Game Theory

Author : Paul R. Thie
Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Techniques of the Simplex Method

Author : István Maros
Publisher : Springer Science & Business Media
ISBN 13 : 9781402073328
Total Pages : 350 pages
Book Rating : 4.0/5 (733 download)

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Book Synopsis Computational Techniques of the Simplex Method by : István Maros

Download or read book Computational Techniques of the Simplex Method written by István Maros and published by Springer Science & Business Media. This book was released on 2002-12-31 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Techniques of the Simplex Method is a systematic treatment focused on the computational issues of the simplex method. It provides a comprehensive coverage of the most important and successful algorithmic and implementation techniques of the simplex method. It is a unique source of essential, never discussed details of algorithmic elements and their implementation. On the basis of the book the reader will be able to create a highly advanced implementation of the simplex method which, in turn, can be used directly or as a building block in other solution algorithms.

Linear Programming: Mathematics, Theory and Algorithms

Author : M.J. Panik
Publisher : Springer Science & Business Media
ISBN 13 : 1461334349
Total Pages : 502 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Linear Programming: Mathematics, Theory and Algorithms by : M.J. Panik

Download or read book Linear Programming: Mathematics, Theory and Algorithms written by M.J. Panik and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Programming provides an in-depth look at simplex based as well as the more recent interior point techniques for solving linear programming problems. Starting with a review of the mathematical underpinnings of these approaches, the text provides details of the primal and dual simplex methods with the primal-dual, composite, and steepest edge simplex algorithms. This then is followed by a discussion of interior point techniques, including projective and affine potential reduction, primal and dual affine scaling, and path following algorithms. Also covered is the theory and solution of the linear complementarity problem using both the complementary pivot algorithm and interior point routines. A feature of the book is its early and extensive development and use of duality theory. Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming.

Quantitative Techniques

Author : P. C. Tulsian
Publisher : Pearson Education India
ISBN 13 : 9788131701867
Total Pages : 806 pages
Book Rating : 4.7/5 (18 download)

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Book Synopsis Quantitative Techniques by : P. C. Tulsian

Download or read book Quantitative Techniques written by P. C. Tulsian and published by Pearson Education India. This book was released on 2006 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Techniques: Theory and Problems adopts a fresh and novel approach to the study of quantitative techniques, and provides a comprehensive coverage of the subject. Essentially designed for extensive practice and self-study, this book will serve as a tutor at home. Chapters contain theory in brief, numerous solved examples and exercises with exhibits and tables.

Theory of Linear and Integer Programming

Author : Alexander Schrijver
Publisher : John Wiley & Sons
ISBN 13 : 9780471982326
Total Pages : 488 pages
Book Rating : 4.9/5 (823 download)

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Book Synopsis Theory of Linear and Integer Programming by : Alexander Schrijver

Download or read book Theory of Linear and Integer Programming written by Alexander Schrijver and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Programming

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
ISBN 13 : 1461476305
Total Pages : 420 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Linear Programming by : Robert J Vanderbei

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 420 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.

Linear Programming 2

Author : George B. Dantzig
Publisher : Springer Science & Business Media
ISBN 13 : 0387215697
Total Pages : 461 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Linear Programming 2 by : George B. Dantzig

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.

Linear Programming Computation

Author : Ping-Qi PAN
Publisher : Springer Science & Business Media
ISBN 13 : 3642407544
Total Pages : 749 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Linear Programming Computation by : Ping-Qi PAN

Download or read book Linear Programming Computation written by Ping-Qi PAN and published by Springer Science & Business Media. This book was released on 2014-03-27 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: With emphasis on computation, this book is a real breakthrough in the field of LP. In addition to conventional topics, such as the simplex method, duality, and interior-point methods, all deduced in a fresh and clear manner, it introduces the state of the art by highlighting brand-new and advanced results, including efficient pivot rules, Phase-I approaches, reduced simplex methods, deficient-basis methods, face methods, and pivotal interior-point methods. In particular, it covers the determination of the optimal solution set, feasible-point simplex method, decomposition principle for solving large-scale problems, controlled-branch method based on generalized reduced simplex framework for solving integer LP problems.

On the Theory and Applications of the Network Simplex Method

Author : Djamel Bennacer
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (174 download)

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Book Synopsis On the Theory and Applications of the Network Simplex Method by : Djamel Bennacer

Download or read book On the Theory and Applications of the Network Simplex Method written by Djamel Bennacer and published by . This book was released on 1987 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programming and Resource Allocation Modeling

Author : Michael J. Panik
Publisher : John Wiley & Sons
ISBN 13 : 1119509467
Total Pages : 539 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Linear Programming and Resource Allocation Modeling by : Michael J. Panik

Download or read book Linear Programming and Resource Allocation Modeling written by Michael J. Panik and published by John Wiley & Sons. This book was released on 2018-10-25 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guides in the application of linear programming to firm decision making, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linear programming theory—especially where data envelopment analysis (DEA) is concerned—and provides the foundation for the development of DEA. Linear Programming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations. It then goes on to cover: the canonical and standard forms of a linear programming problem; the computational aspects of linear programming; variations of the standard simplex theme; duality theory; single- and multiple- process production functions; sensitivity analysis of the optimal solution; structural changes; and parametric programming. The primal and dual problems are then reformulated and re-examined in the context of Lagrangian saddle points, and a host of duality and complementary slackness theorems are offered. The book also covers primal and dual quadratic programs, the complementary pivot method, primal and dual linear fractional functional programs, and (matrix) game theory solutions via linear programming, and data envelopment analysis (DEA). This book: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decision making, and health care Fills the need for a linear programming applications component in a management science or economics course Provides a complete treatment of linear programming as applied to activity selection and usage Contains many detailed example problems as well as textual and graphical explanations Linear Programming and Resource Allocation Modeling is an excellent resource for professionals looking to solve linear optimization problems, and advanced undergraduate to beginning graduate level management science or economics students.

Topics in Linear Programming and Games Theory

Author : Lakshmisree Bandopadhyaya
Publisher : Northern Book Centre
ISBN 13 : 9788172112264
Total Pages : 342 pages
Book Rating : 4.1/5 (122 download)

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Book Synopsis Topics in Linear Programming and Games Theory by : Lakshmisree Bandopadhyaya

Download or read book Topics in Linear Programming and Games Theory written by Lakshmisree Bandopadhyaya and published by Northern Book Centre. This book was released on 2007 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Salient Features: This book gives methodical and step-by-step explanation of the Simplex Method which is missing in most of the available books. The book goes on as a teacher explaining and simplifying the topics to a student. All the university question paper problems with 74 examples and 81 exercises illustrate the methodology. Problems solved by Graphical Method are explained with neat and accurate graphs. Twenty-One Theorems with proofs and corollaries will facilitate logical understanding of the subject. Detailed explanations are given to make the reader confident about the subject.

Linear Programming

Author : Howard Karloff
Publisher : Springer Science & Business Media
ISBN 13 : 0817648445
Total Pages : 150 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Linear Programming by : Howard Karloff

Download or read book Linear Programming written by Howard Karloff and published by Springer Science & Business Media. This book was released on 2008-10-14 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming.... Style is informal. ...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. —Choice Reviews This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. —Zentralblatt Math

Linear Optimization

Author : Glenn Hurlbert
Publisher : Springer Science & Business Media
ISBN 13 : 0387791485
Total Pages : 279 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Linear Optimization by : Glenn Hurlbert

Download or read book Linear Optimization written by Glenn Hurlbert and published by Springer Science & Business Media. This book was released on 2009-11-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Subject A little explanation is in order for our choice of the title Linear Opti- 1 mization (and corresponding terminology) for what has traditionally been called Linear Programming.Theword programming in this context can be confusing and/or misleading to students. Linear programming problems are referred to as optimization problems but the general term linear p- gramming remains. This can cause people unfamiliar with the subject to think that it is about programming in the sense of writing computer code. It isn’t. This workbook is about the beautiful mathematics underlying the ideas of optimizing linear functions subject to linear constraints and the algorithms to solve such problems. In particular, much of what we d- cuss is the mathematics of Simplex Algorithm for solving such problems, developed by George Dantzig in the late 1940s. The word program in linear programming is a historical artifact. When Dantzig ?rstdevelopedthe Simplex Algorithm to solvewhat arenowcalled linear programming problems, his initial model was a class of resource - location problems to be solved for the U.S. Air Force. The decisions about theallocationswerecalled‘Programs’bytheAirForce,andhencetheterm.

The Simplex Method of Linear Programming

Author : F.A. Ficken
Publisher : Courier Dover Publications
ISBN 13 : 048679685X
Total Pages : 68 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis The Simplex Method of Linear Programming by : F.A. Ficken

Download or read book The Simplex Method of Linear Programming written by F.A. Ficken and published by Courier Dover Publications. This book was released on 2015-06-17 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Holt, Rinehart and Winston, 1961.

Computational Techniques of the Simplex Method

Author : István Maros
Publisher : Springer Science & Business Media
ISBN 13 : 1461502578
Total Pages : 335 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Computational Techniques of the Simplex Method by : István Maros

Download or read book Computational Techniques of the Simplex Method written by István Maros and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Techniques of the Simplex Method is a systematic treatment focused on the computational issues of the simplex method. It provides a comprehensive coverage of the most important and successful algorithmic and implementation techniques of the simplex method. It is a unique source of essential, never discussed details of algorithmic elements and their implementation. On the basis of the book the reader will be able to create a highly advanced implementation of the simplex method which, in turn, can be used directly or as a building block in other solution algorithms.

Simplex Method and Theory. Notes on Linear Programming and Extensions -

Author : A. W. TUCKER
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Simplex Method and Theory. Notes on Linear Programming and Extensions - by : A. W. TUCKER

Download or read book Simplex Method and Theory. Notes on Linear Programming and Extensions - written by A. W. TUCKER and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simplex me hod of linear programming is discussed in a format designe to exhibit overall structure rather than specific operational details. Various termin l possibilitie re represent d schema ically and geometrically, and it is shown that transposition duality theorems can be regarded as corollaries of the duality theorem for a homogeneous line r program. Author).