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Download or read book A Branch and Bound Algorithm for Zero-one Mixed Integer Programming Problems written by and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald E. Davis
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (255 download)
Download or read book Branch and Bound Algorithm for Zero-One Mixed Integer Programming Problems written by Ronald E. Davis and published by . This book was released on 1967 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald E. Davis
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (225 download)
Download or read book Branch and Bound Algorithms for Zero-one Mixed Integer Programming Problems written by Ronald E. Davis and published by . This book was released on 1967 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hamdy A. Taha
Publisher : Academic Press
ISBN 13 : 1483260372
Total Pages : 395 pages
Book Rating : 4.4/5 (832 download)
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.
Author : Jeremy F. Shapiro
Publisher : Forgotten Books
ISBN 13 : 9780260743633
Total Pages : 114 pages
Book Rating : 4.7/5 (436 download)
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.
Author : Jeremy F. Shapiro
Publisher : Palala Press
ISBN 13 : 9781342325136
Total Pages : 116 pages
Book Rating : 4.3/5 (251 download)
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 Palala Press. This book was released on 2015-09-11 with total page 116 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.
Author : Stanford University. Department of Operations Research
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.F/5 ( download)
Download or read book Simplex Search Algorithm for Solving Zero-one Mixed Integer Programs written by Stanford University. Department of Operations Research and published by . This book was released on 1969 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: An algorithm for solving zero-one mixed integer programming problems which has been developed and implemented in an all-in-core FORTRAN program is reported with computational experience on a variety of well-known problem types. The imbedded linear programs of Land and Doig, the derived binary constraints of Benders, and the binary feasibility tests introduced by Balas, are used in conjunction with augmented linear programs obtained by summarizing in the form of a linear inequality the set of solutions remaining to be (implicitly) enumerated when only partial completion of a branch-and-bound search has been accomplished. These augmented linear programs yield new sufficient conditions for optimality of an incumbent solution which have significantly accelerated convergence of the search procedure on a number of problem types, notably the Savage-Lorie project selection or multi-dimensional knapsack variety. Computational experience with scheduling, warehouse location, and economic investment planning models is also reported. The algorithm has proven satisfactory for use on a production basis, and is currently in use for selection of water resource development projects. (Author).
Author : M. L. Balinski
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.3/5 (97 download)
Download or read book Approaches to Integer Programming written by M. L. Balinski and published by . This book was released on 1974 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Branch and bound experiments in 0-1 programming; A subadditive approach to the group problem of integer programming; Two computationaly difficult set covering problems that arise in computing the 1-width of incidence matrices of Steiner triple systems; Lagrangean relaxation for integer programming; A heuristic algorithm for mixed-integer programming problems; On the group problem for mixed integer programming; Experiments in the formulation of integer programming problems.
Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540428771
Total Pages : 317 pages
Book Rating : 4.5/5 (44 download)
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.
Author : R. Fletcher
Publisher : John Wiley & Sons
ISBN 13 : 111872318X
Total Pages : 470 pages
Book Rating : 4.1/5 (187 download)
Download or read book Practical Methods of Optimization written by R. Fletcher and published by John Wiley & Sons. This book was released on 2013-06-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully describes optimization methods that are currently most valuable in solving real-life problems. Since optimization has applications in almost every branch of science and technology, the text emphasizes their practical aspects in conjunction with the heuristics useful in making them perform more reliably and efficiently. To this end, it presents comparative numerical studies to give readers a feel for possibile applications and to illustrate the problems in assessing evidence. Also provides theoretical background which provides insights into how methods are derived. This edition offers revised coverage of basic theory and standard techniques, with updated discussions of line search methods, Newton and quasi-Newton methods, and conjugate direction methods, as well as a comprehensive treatment of restricted step or trust region methods not commonly found in the literature. Also includes recent developments in hybrid methods for nonlinear least squares; an extended discussion of linear programming, with new methods for stable updating of LU factors; and a completely new section on network programming. Chapters include computer subroutines, worked examples, and study questions.
Author : Hanif D. Sherali
Publisher : Springer Science & Business Media
ISBN 13 : 1475743882
Total Pages : 529 pages
Book Rating : 4.4/5 (757 download)
Download or read book A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems written by Hanif D. Sherali and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear/convex programming representations or relaxations in solving such discrete and continuous nonconvex programming problems. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through automatic reformulation and constraint generation techniques. As mentioned above, the focal point of this book is the development and application of RL T for use as an automatic reformulation procedure, and also, to generate strong valid inequalities. The RLT operates in two phases. In the Reformulation Phase, certain types of additional implied polynomial constraints, that include the aforementioned constraints in the case of binary variables, are appended to the problem. The resulting problem is subsequently linearized, except that certain convex constraints are sometimes retained in XV particular special cases, in the Linearization/Convexijication Phase. This is done via the definition of suitable new variables to replace each distinct variable-product term. The higher dimensional representation yields a linear (or convex) programming relaxation.
Author : Raymond Neil McCollum
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (81 download)
Download or read book A Linear Programming Based Branch and Bound Algorithm for Mixed Integer Generalized Network Problems written by Raymond Neil McCollum and published by . This book was released on 1981 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. Kastning
Publisher : Springer Science & Business Media
ISBN 13 : 3662022842
Total Pages : 504 pages
Book Rating : 4.6/5 (62 download)
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.
Author : Bezalel Gavish
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.3/5 (243 download)
Download or read book Zero-one Integer Programs with Few Constraints written by Bezalel Gavish and published by . This book was released on 1984 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matteo Fischetti
Publisher : Springer
ISBN 13 : 3540727922
Total Pages : 509 pages
Book Rating : 4.5/5 (47 download)
Download or read book Integer Programming and Combinatorial Optimization written by Matteo Fischetti and published by Springer. This book was released on 2007-06-26 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2007, held in Ithaca, NY, USA, in June 2007. Among the topics addressed in the 36 revised full papers are approximation algorithms, algorithmic game theory, computational biology, integer programming, polyhedral combinatorics, scheduling theory and scheduling algorithms, as well as semidefinite programs.
Author :
Publisher : Elsevier
ISBN 13 : 0080867642
Total Pages : 571 pages
Book Rating : 4.0/5 (88 download)
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
Author : Egon Balas
Publisher : Springer
ISBN 13 : 3030001482
Total Pages : 238 pages
Book Rating : 4.0/5 (3 download)
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.
