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Computational Experience With The Balas Integer Programming Algorithm
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Book Synopsis Computational Experience with the Balas Integer Programming Algorithm by : Raoul J. Freeman
Download or read book Computational Experience with the Balas Integer Programming Algorithm written by Raoul J. Freeman and published by . This book was released on 1965 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: A recent and significant addition to the literature of partial enumeration methods of solving integer linear programming problems has been the algorithm of Balas (E. Balas. An additive algorithm for solving linear programs with zero-one variables. Operations Research, v.13:517-546 (July-Aug 1965). Building upon the foundation laid by Balas and (F. Glover. A multiphase-dual algorithm for the zero-one integer programming problem. Management Sciences Research Rept. no. 25, Dec 64, Graduate School of Industrial Administration, Carnegie Institute of Technology), a version of this algorithm was outlined in (A. Geoffrion. A reformulation of Balas' algorithm for integer linear programming. Rand Corp., RM-4783-PR, Sep 1965) that especially lends itself to computer implementation. This has since been programmed, and the purpose of this report is to describe some computational experience with the algorithm and to discuss future avenues of research that may be undertaken.
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.
Book Synopsis Integer Programming by : Hamdy A. Taha
Download or read book Integer Programming written by Hamdy A. Taha and published by Academic Press. This book was released on 2014-05-10 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Programming: Theory, Applications, and Computations provides information pertinent to the theory, applications, and computations of integer programming. This book presents the computational advantages of the various techniques of integer programming. Organized into eight chapters, this book begins with an overview of the general categorization of integer applications and explains the three fundamental techniques of integer programming. This text then explores the concept of implicit enumeration, which is general in a sense that it is applicable to any well-defined binary program. Other chapters consider the branch-and-bound methods, the cutting-plane method, and its closely related asymptotic problem. This book discusses as well several specialized algorithms for certain well-known integer models and provides an alternative approach to the solution of the integer problem. The final chapter deals with a number of observations about the formulations and executions of integer programming models. This book is a valuable resource for industrial engineers and research workers.
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 . This book was released on 1971 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Disjunctive Programming by : Egon Balas
Download or read book Disjunctive Programming written by Egon Balas and published by Springer. This book was released on 2018-11-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.
Book Synopsis Integer Programming by : Robert Garfinkel
Download or read book Integer Programming written by Robert Garfinkel and published by Wiley-Interscience. This book was released on 1972 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programming; Integer programming graphs; Enumeration methods; Cutting plane methods; The knapsack problem; Integer programming over cones; The set covering and partitioning problems; Approximate methods; Integer nonlinear programming; Computational experience.
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 2018-02-22 with total page 82 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: (l) 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.
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.
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.
Book Synopsis Computational Experience in All-integer, Binary Variable, Integer Programming Problems by : Charles Richmond Baugh
Download or read book Computational Experience in All-integer, Binary Variable, Integer Programming Problems written by Charles Richmond Baugh and published by . This book was released on 1968 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Book Synopsis Computational Experience with a Group Theoretic Integer Programming Algorithm by : George Anthony Gorry
Download or read book Computational Experience with a Group Theoretic Integer Programming Algorithm written by George Anthony Gorry and published by . This book was released on 1972 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Bound and Scan Algorithm for Integer Linear Programming by : Stanford University. Department of Industrial Engineering
Download or read book Optimal Bound and Scan Algorithm for Integer Linear Programming written by Stanford University. Department of Industrial Engineering and published by . This book was released on 1966 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new algorithm for solving the pure integer linear programming problem is presented and evaluated. Roughly speaking this algorithm proceeds by obtaining tight bounds or conditional bounds on the relevant values of the respective variables, and then identifying a sequence of constantly improving feasible solutions by scanning the relevant solutions. Encouraging computational experience is reported that suggests that this algorithm should compare favorably in efficiency with existing algorithms. Plans for investigating ways of further increasing the efficiency of the algorithm and of extending it to more general problems also are outlined. (Author).
Book Synopsis Computational Combinatorial Optimization by : Michael Jünger
Download or read book Computational Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2001-11-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality.
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.
Book Synopsis Integer Programming by : Harvey M. Salkin
Download or read book Integer Programming written by Harvey M. Salkin and published by Addison Wesley Publishing Company. This book was released on 1975 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Experience in All-integer, Binary Variable, Integer Programming Problems by : Ahmed Sameh
Download or read book Computational Experience in All-integer, Binary Variable, Integer Programming Problems written by Ahmed Sameh and published by . This book was released on 1967 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
