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Computational Experience With A Group Theoretic Integer Programming Algorithm
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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.
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 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 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 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:
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 On a Group Theoretic Approach to Linear Integer Programming by : William Wallace White
Download or read book On a Group Theoretic Approach to Linear Integer Programming written by William Wallace White and published by . This book was released on 1966 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper extends some results of Gomory on a group theoretic approach to linear integer programming. An algorithm for solving integer programming problems is presented, and the relation of this work to cuts and appropriate geometric interpretations are given. The theoretical basis for the algorithm establishes a characterization of integer solutions to linear programs by considering the Gomory column group associated with the optimal linear programming basis. It is shown that if an optimal integer solution exists, it can be obtained by finding the rth optimal solution to an optimization problem over elements in this Gomory group, for some finite r. A dynamic programming procedure for finding this rth optimal solution is given, and shown to be equivalent to finding an rth shortest route through a specially constructed network. A particular class of cutting planes is discussed. These cuts are shown to be parallel to a subset of Gomory cuts and at least as strong as the Gomory cuts. Specially structured integer programs are discussed with a view toward speeding computation. Included in this discussion is a specialization to zero-one variables. Some computational results are given. It is seen that computational efficiency depends crucially on the size of the absolute value of the determinant of the optimal linear programming basis. In general, the smaller this absolute value, the more efficient the algorithm. (Author).
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 Relaxation Methods for Pure and Mixed Integer Programming Problems (Classic Reprint) by : G. A. Gorry
Download or read book Relaxation Methods for Pure and Mixed Integer Programming Problems (Classic Reprint) written by G. A. Gorry and published by . This book was released on 2015-08-05 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Relaxation Methods for Pure and Mixed Integer Programming Problems The usefulness of group theoretic methods in solving integer programming (IP) problems is extended by procedures for controlling the size of the groups. The main procedure given shows how an optimal linear programming basis can be altered to reduce the magnitude of its determinant thereby reducing the size of the group induced by the basis. An adoption of Bender's mixed IP algorithm is given which uses these methods. Some limited computational experience is given. 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 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.
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 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 An Adaptive Group Theoretic Algorithm for Integer Programming Problems by : George Anthony Gorry
Download or read book An Adaptive Group Theoretic Algorithm for Integer Programming Problems written by George Anthony Gorry and published by . This book was released on 1968 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: A prototypical algorithm for solving integer programming problems is presented. The algorithm combines group theoretic methods for finding integer solutions to systems of linear equations under the control of heuristic supervisory procedures. The latter pre-structure the overall problem and guide the search for an optimal solution by organizing subproblems and selecting the appropriate analytical methods to apply to them. Here there is a decided emphasis on the diagnostic facility of the supervisor in order that the various analytic methods may be adapted to the overall problem and to the particular subproblems encountered. Throughout the paper, the variety and flexibility of the group theoretic methods are emphasized, as well as the potential of heuristic selection and control of these methods. (Author).
Book Synopsis A Group Theoretic Branch and Bound Algorithm by : Jeremy F. Shapiro
Download or read book A Group Theoretic Branch and Bound Algorithm written by Jeremy F. Shapiro and published by Forgotten Books. This book was released on 2017-11-10 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Group Theoretic Branch and Bound Algorithm: For the Zero-One Integer Programming A more precise definition of an optimal correction is given ininduced correction and the resulting LP basic variables constitute a feasible solution to the integer programming problem, then this solution is optimalo Sufficient conditions can be given on when an unconstrained shortest route path can be guaranteed to produce a feasible and thus optimal integer solution. As discussed in the class of problems for which the unconstrained shortest route solution will yield the optimal integer solution can be described qualitatively as steady - state If b is the vector of constants in the integer programming problem, steady state means that the optimal LP solution B-lb is sufficiently large in each component to remain non negative after the correction from the unconstrained shortest route or group problem is obtained. 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 Group Theoretic Algorithms for the Integer Programming Problem Ii: Extension to a General Algorithm by : Jeremy F. Shapiro
Download or read book Group Theoretic Algorithms for the Integer Programming Problem Ii: Extension to a General Algorithm written by Jeremy F. Shapiro and published by . This book was released on 1968 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main result of this paper is a group theoretic algorithm (GTIP2) for the integer programming problem. This algorithm is an extension of an algorithm from an earlier paper (part I). The algorithm in part I solves a group optimization problem derived from a given integer programming problem. The optimal solution to the group problem thereby obtained is an optimal solution to the integer programming problem if it is feasible. Unfortunately, an optimal solution to the group problem may yield an infeasible integer solution. The algorithm GTIP2 of this paper is an extension of the method of part I when it fails. In particular, GTIP2 employs a search procedure to find an optimal solution to the integer programming problem. The extent of the search is bounded by procedures derived from a variety of relevant group problems which are solved by the algorithm of part I. There is a discussion of the class of problems for which GTIP2 is primarily intended and the relationship of GTIP2 to other algorithms is indicated. A numerical example and some partial computational results are included. (Author).
Book Synopsis A Group Theoretic Branch and Bound Algorithm for the Zero-one Integer Programming Problem by : Jeremy F. Shapiro
Download or read book A Group Theoretic Branch and Bound Algorithm for the Zero-one Integer Programming Problem written by Jeremy F. Shapiro and published by . This book was released on 1967 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Report by : Naval Research Laboratory (U.S.) Mathematics Research Center
Download or read book Report written by Naval Research Laboratory (U.S.) Mathematics Research Center and published by . This book was released on 1974 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
