Group Programming Decomposition in Integer Programming

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Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (182 download)

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Book Synopsis Group Programming Decomposition in Integer Programming by : Gerald Louis Hefley

Download or read book Group Programming Decomposition in Integer Programming written by Gerald Louis Hefley and published by . This book was released on 1971 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the paper, a group programming problem is shown to be decomposable for a number of problems. The group programming problem is to minimize a real valued linear objective function subject to a single constraint and nonnegative integer variables. The constraint is defined on a finite abelian group. This problem occurs when using the asymptotic integer programming algorithm of Gomory to solve a linear program with integer constraint. An algorithm is developed which uses one of the existing group programming algorithms to solve subproblems. The total number of variables in the subproblems is the same as the number in the original problem. Each subproblem is solved only once and one linking problem is solved to obtain the optimal solution to the original problem. When decomposition is possible, significant savings in computational effort can be achieved. Examples are included to illustrate the method. (Author).

Decomposition of the Group Problem in Integer Programming

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Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Decomposition of the Group Problem in Integer Programming by : Gerald L. Hefley

Download or read book Decomposition of the Group Problem in Integer Programming written by Gerald L. Hefley and published by . This book was released on 1971 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group theoretic algorithms for solving linear integer programming problems have been proposed by Gomory and extended by Shapiro. An essential and time-consuming task in these algorithms is solving a programming problem which is a defined on a finite abelian group. The computational effort required to solve this group problem can be significantly reduced if the problem can be decomposed. A method is presented in this paper for decomposing the group problem into subproblems which are defined on subgroups of the original problem. These subproblems can be solvee by any of the existing group programming algorithms. The total number of variables in the subproblems is the same as the number in the original problem, and each subproblem is folved only once. The solutions to a group linking problem are used to obtain the solutions to the original problem. This paper includes an algorithm for solving the group linking problem. Tests have been made to compare the solution times for the group problem with and without decomposition. The results of these tests indicate significant savings in computational effort can be achieved by decomposing the group problem. (Author).

50 Years of Integer Programming 1958-2008

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Publisher : Springer Science & Business Media
ISBN 13 : 3540682791
Total Pages : 804 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis 50 Years of Integer Programming 1958-2008 by : Michael Jünger

Download or read book 50 Years of Integer Programming 1958-2008 written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2009-11-06 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.

Integer Programming

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Publisher : SIAM
ISBN 13 : 9781611970371
Total Pages : 75 pages
Book Rating : 4.9/5 (73 download)

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Book Synopsis Integer Programming by : Ellis L. Johnson

Download or read book Integer Programming written by Ellis L. Johnson and published by SIAM. This book was released on 1980-01-01 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers pure integer programming problems which concern packing, partitioning or covering. For this class of problems, an algorithmic framework using a duality approach is offered. Furthermore, the author proposes for the first time a general framework for both packing and covering problems characterizing the convex whole of integer solutions.

Integer Programming and Related Areas

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Publisher : Springer Science & Business Media
ISBN 13 : 3662022842
Total Pages : 504 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Integer Programming and Related Areas by : C. Kastning

Download or read book Integer Programming and Related Areas written by C. Kastning and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.

Decomposition Techniques in Mathematical Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3540276866
Total Pages : 542 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Decomposition Techniques in Mathematical Programming by : Antonio J. Conejo

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.

50 Years of Integer Programming 1958-2008

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Publisher : Springer
ISBN 13 : 9783540863984
Total Pages : 804 pages
Book Rating : 4.8/5 (639 download)

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Book Synopsis 50 Years of Integer Programming 1958-2008 by : Michael Jünger

Download or read book 50 Years of Integer Programming 1958-2008 written by Michael Jünger and published by Springer. This book was released on 2010-04-29 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.

Decomposition in Integer Programming

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Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Decomposition in Integer Programming by : Stanford University. Department of Operations Research. Systems Optimization Laboratory

Download or read book Decomposition in Integer Programming written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1976 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Resource Decomposition: A Conceptual Outline; Branching in the Rudimentary Branch-and-Bound Algorithm; Computing Bounds: Single Linking Constraint Case; Computing Bounds: Multiple Linking Constraints Case; Computational Results; and Conclusions, Extensions, and Areas for Future Research.

Integer Programming and Related Areas A Classified Bibliography 1976–1978

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Publisher : Springer Science & Business Media
ISBN 13 : 3642463835
Total Pages : 326 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Integer Programming and Related Areas A Classified Bibliography 1976–1978 by : D. Hausmann

Download or read book Integer Programming and Related Areas A Classified Bibliography 1976–1978 written by D. Hausmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integer Programming

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Publisher : Springer
ISBN 13 : 331911008X
Total Pages : 466 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Integer Programming by : Michele Conforti

Download or read book Integer Programming written by Michele Conforti and published by Springer. This book was released on 2014-11-15 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an elegant and rigorous presentation of integer programming, exposing the subject’s mathematical depth and broad applicability. Special attention is given to the theory behind the algorithms used in state-of-the-art solvers. An abundance of concrete examples and exercises of both theoretical and real-world interest explore the wide range of applications and ramifications of the theory. Each chapter is accompanied by an expertly informed guide to the literature and special topics, rounding out the reader’s understanding and serving as a gateway to deeper study. Key topics include: formulations polyhedral theory cutting planes decomposition enumeration semidefinite relaxations Written by renowned experts in integer programming and combinatorial optimization, Integer Programming is destined to become an essential text in the field.

Integer Programming by Group Theory

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ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.:/5 (238 download)

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Book Synopsis Integer Programming by Group Theory by : Susumu Morito

Download or read book Integer Programming by Group Theory written by Susumu Morito and published by . This book was released on 1976 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Group Theoretic Integer Programming Algorithm; System Design and Computational Experience

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Publisher : Palala Press
ISBN 13 : 9781378938188
Total Pages : 84 pages
Book Rating : 4.9/5 (381 download)

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Book Synopsis A Group Theoretic Integer Programming Algorithm; System Design and Computational Experience by : George Anthony Gorry

Download or read book A Group Theoretic Integer Programming Algorithm; System Design and Computational Experience written by George Anthony Gorry and published by Palala Press. This book was released on 2018-03-02 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Integer Programming by Group Theory: Some Computational Results

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Integer Programming by Group Theory: Some Computational Results by : Harvey M. Salkin

Download or read book Integer Programming by Group Theory: Some Computational Results written by Harvey M. Salkin and published by . This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integer Programming by Group Theory: Some Computational Results

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Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Integer Programming by Group Theory: Some Computational Results by : Harvey M. Salkin

Download or read book Integer Programming by Group Theory: Some Computational Results written by Harvey M. Salkin and published by . This book was released on 1975 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Group Theoretic Integer Programming Algorithm

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Publisher : Forgotten Books
ISBN 13 : 9781334213656
Total Pages : 80 pages
Book Rating : 4.2/5 (136 download)

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Book Synopsis A Group Theoretic Integer Programming Algorithm by : George Anthony Gorry

Download or read book A Group Theoretic Integer Programming Algorithm written by George Anthony Gorry and published by Forgotten Books. This book was released on 2016-11-08 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Group Theoretic Integer Programming Algorithm: System Design and Computational Experience Our plan for'this paper is as follows. First, we will give a general overview of the way in which ipa operates. In that discussion we will briefly describe each of the major subroutines of the system. Basically, these are the subroutines that are required to: (i) obtain an optimal solution to the continuous version of the integer programming problem. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Applied Integer Programming

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Publisher : John Wiley & Sons
ISBN 13 : 1118210026
Total Pages : 489 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Applied Integer Programming by : Der-San Chen

Download or read book Applied Integer Programming written by Der-San Chen and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible treatment of the modeling and solution of integer programming problems, featuring modern applications and software In order to fully comprehend the algorithms associated with integer programming, it is important to understand not only how algorithms work, but also why they work. Applied Integer Programming features a unique emphasis on this point, focusing on problem modeling and solution using commercial software. Taking an application-oriented approach, this book addresses the art and science of mathematical modeling related to the mixed integer programming (MIP) framework and discusses the algorithms and associated practices that enable those models to be solved most efficiently. The book begins with coverage of successful applications, systematic modeling procedures, typical model types, transformation of non-MIP models, combinatorial optimization problem models, and automatic preprocessing to obtain a better formulation. Subsequent chapters present algebraic and geometric basic concepts of linear programming theory and network flows needed for understanding integer programming. Finally, the book concludes with classical and modern solution approaches as well as the key components for building an integrated software system capable of solving large-scale integer programming and combinatorial optimization problems. Throughout the book, the authors demonstrate essential concepts through numerous examples and figures. Each new concept or algorithm is accompanied by a numerical example, and, where applicable, graphics are used to draw together diverse problems or approaches into a unified whole. In addition, features of solution approaches found in today's commercial software are identified throughout the book. Thoroughly classroom-tested, Applied Integer Programming is an excellent book for integer programming courses at the upper-undergraduate and graduate levels. It also serves as a well-organized reference for professionals, software developers, and analysts who work in the fields of applied mathematics, computer science, operations research, management science, and engineering and use integer-programming techniques to model and solve real-world optimization problems.

Studies in Integer Programming

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Publisher : Elsevier
ISBN 13 : 0080867642
Total Pages : 571 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Studies in Integer Programming by :

Download or read book Studies in Integer Programming written by and published by Elsevier. This book was released on 2011-10-10 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Integer Programming