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Author : George Bernard Dantzig
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (713 download)
Download or read book The Decomposition Algorithm for Linear Programming written by George Bernard Dantzig and published by . This book was released on 1961 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : GEORGE B. DANTZIG
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)
Download or read book The Decomposition Algorithm for Linear Programming. Notes on Linear Programming and Extensions written by GEORGE B. DANTZIG and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: A procedure is presented for the efficient computational solution of linear programs having a certain structural property characteristic of a large class of problems of practical interest. This property makes possible the decomposition of the problem into a sequence of small linear programs whose iterate solutions solve the given problem through a generalization of the simple method for linear programming. (Author).
Author : George B. Dantzig
Publisher : Springer Science & Business Media
ISBN 13 : 0387215697
Total Pages : 461 pages
Book Rating : 4.3/5 (872 download)
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 : George Bernard Dantzig
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (663 download)
Download or read book The Decomposition Algorithm for Linear Programming written by George Bernard Dantzig and published by . This book was released on 1961 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Dantzig
Publisher : Princeton University Press
ISBN 13 : 1400884179
Total Pages : 651 pages
Book Rating : 4.4/5 (8 download)
Download or read book Linear Programming and Extensions written by George Dantzig and published by Princeton University Press. This book was released on 2016-08-10 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. In this classic book, George Dantzig looks at a wealth of examples and develops linear programming methods for their solutions. He begins by introducing the basic theory of linear inequalities and describes the powerful simplex method used to solve them. Treatments of the price concept, the transportation problem, and matrix methods are also given, and key mathematical concepts such as the properties of convex sets and linear vector spaces are covered. George Dantzig is properly acclaimed as the "father of linear programming." Linear programming is a mathematical technique used to optimize a situation. It can be used to minimize traffic congestion or to maximize the scheduling of airline flights. He formulated its basic theoretical model and discovered its underlying computational algorithm, the "simplex method," in a pathbreaking memorandum published by the United States Air Force in early 1948. Linear Programming and Extensions provides an extraordinary account of the subsequent development of his subject, including research in mathematical theory, computation, economic analysis, and applications to industrial problems. Dantzig first achieved success as a statistics graduate student at the University of California, Berkeley. One day he arrived for a class after it had begun, and assumed the two problems on the board were assigned for homework. When he handed in the solutions, he apologized to his professor, Jerzy Neyman, for their being late but explained that he had found the problems harder than usual. About six weeks later, Neyman excitedly told Dantzig, "I've just written an introduction to one of your papers. Read it so I can send it out right away for publication." Dantzig had no idea what he was talking about. He later learned that the "homework" problems had in fact been two famous unsolved problems in statistics.
Author : James K. Ho
Publisher : Springer Science & Business Media
ISBN 13 : 1468493973
Total Pages : 212 pages
Book Rating : 4.4/5 (684 download)
Download or read book DECOMP: an Implementation of Dantzig-Wolfe Decomposition for Linear Programming written by James K. Ho and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: For linear optimization models that can be formulated as linear programs with the block-angular structure, i.e. independent subproblems with coupling constraints, the Dantzig-Wolfe decomposition principle provides an elegant framework of solution algorithms as well as economic interpretation. This monograph is the complete documentation of DECOMP: a robust implementation of the Dantzig-Wolfe decomposition method in FORTRAN. The code can serve as a very convenient starting point for further investigation, both computational and economic, of parallelism in large-scale systems. It can also be used as supplemental material in a second course in linear programming, computational mathematical programming, or large-scale systems.
Author : Antonio J. Conejo
Publisher : Springer Science & Business Media
ISBN 13 : 3540276866
Total Pages : 542 pages
Book Rating : 4.5/5 (42 download)
Download or read book Decomposition Techniques in Mathematical Programming written by Antonio J. Conejo and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering,OperationsResearch,andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.
Author : George Bernard Dantzig
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (46 download)
Download or read book The Decomposition Algorithm for Linear Programs written by George Bernard Dantzig and published by . This book was released on 1961 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.J. Panik
Publisher : Springer Science & Business Media
ISBN 13 : 1461334349
Total Pages : 502 pages
Book Rating : 4.4/5 (613 download)
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.
Author : Mathematica, Inc
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.F/5 ( download)
Download or read book Decomposition Principles for Solving Large Structured Linear Programs written by Mathematica, Inc and published by . This book was released on 1963 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul R. Thie
Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)
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.
Author : Albert William Tucker
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.E/5 ( download)
Download or read book Simplex Method and Theory written by Albert William Tucker and published by . This book was released on 1962 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Saul I. Gass
Publisher : Courier Corporation
ISBN 13 : 0486319601
Total Pages : 194 pages
Book Rating : 4.4/5 (863 download)
Download or read book An Illustrated Guide to Linear Programming written by Saul I. Gass and published by Courier Corporation. This book was released on 2013-04-09 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entertaining, nontechnical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, network problems, much more. Only high-school algebra needed.
Author : William Dennis Wacker
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (26 download)
Download or read book A Study of the Decomposition Algorithm for Linear Programming written by William Dennis Wacker and published by . This book was released on 1967 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julia L. Higle
Publisher : Springer Science & Business Media
ISBN 13 : 1461541158
Total Pages : 237 pages
Book Rating : 4.4/5 (615 download)
Download or read book Stochastic Decomposition written by Julia L. Higle and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivation Stochastic Linear Programming with recourse represents one of the more widely applicable models for incorporating uncertainty within in which the SLP optimization models. There are several arenas model is appropriate, and such models have found applications in air line yield management, capacity planning, electric power generation planning, financial planning, logistics, telecommunications network planning, and many more. In some of these applications, modelers represent uncertainty in terms of only a few seenarios and formulate a large scale linear program which is then solved using LP software. However, there are many applications, such as the telecommunications planning problem discussed in this book, where a handful of seenarios do not capture variability well enough to provide a reasonable model of the actual decision-making problem. Problems of this type easily exceed the capabilities of LP software by several orders of magnitude. Their solution requires the use of algorithmic methods that exploit the structure of the SLP model in a manner that will accommodate large scale applications.
Author : Howard Karloff
Publisher : Springer Science & Business Media
ISBN 13 : 0817648437
Total Pages : 149 pages
Book Rating : 4.8/5 (176 download)
Download or read book Linear Programming written by Howard Karloff and published by Springer Science & Business Media. This book was released on 2008-11-19 with total page 149 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
Author : George B. Dantzig
Publisher : Springer
ISBN 13 : 9780387986135
Total Pages : 448 pages
Book Rating : 4.9/5 (861 download)
Download or read book Linear Programming 2 written by George B. Dantzig and published by Springer. This book was released on 2003-07-30 with total page 448 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.
