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Author : Charnes A. (Abraham)
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (232 download)
Download or read book An Algorithm for Solving Integer Interval Linear Programming Problems written by Charnes A. (Abraham) and published by . This book was released on 1973 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Armstrong
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (227 download)
Download or read book Page Cuts for Integer Interval Linear Programming written by R. Armstrong and published by . This book was released on 1975 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper a cutting plane algorithm is developed to solve Integer Interval Linear Programming (IILPs). As in other cutting plane algorithms the integer restrictions are dropped first and the resulting interval programming problem is solved. The cuts which are constructed are valid cuts since an optimal noninteger solution will be eliminated but all feasible integer solutions will satisfy the cut constraint.
Author : Abraham Charnes
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (227 download)
Download or read book An Algorithm for solving interval linear programming problems written by Abraham Charnes and published by . This book was released on 1973 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents an algorithm for solving interval linear programming problems. The algorithm is a finite iterative method, which in each iteration solves a full row rank interval linear programming problem, with only one additional constraint. The solution and/or problem chosen appears to be computationally more efficient than that in the Ben-Israel and Robers algorithm.
Author : Gerard Sierksma
Publisher : CRC Press
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.F/5 ( download)
Download or read book Linear and Integer Programming written by Gerard Sierksma and published by CRC Press. This book was released on 1996 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique reference/text details the theoretical and practical aspects of linear and integer programming - covering a wide range of subjects, including duality, optimality criteria, sensitivity analysis, and numerous solution techniques for linear programming problems. Requiring only an elementary knowledge of set theory, trigonometry, and calculus, Linear and Integer Programming reflects both the problem-analyzing and problem-solving abilities of linear and integer programming ... presents the more rigorous mathematical material in such a way that it can be easily skipped without disturbing the readability of the text ... contains important pedagogical features such as a user-friendly, IBM-compatible computer software package for solving linear-programming problems, numerous case studies, fully worked examples, helpful end-of-chapter exercises, the answers to selected problems, key literature citations, and over 1375 equations, drawings, and tables ... and more. Linear and Integer programming is a fundamental reference for applied mathematicians, operations researchers, computer scientists, economists, and industrial engineers, as well as an ideal text for upper-level undergraduate and graduate students in this disciplines.
Author : Fred Glover
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (227 download)
Download or read book An Algorithm for Solving the Linear Integer Programming Problem Over a Finite Additive Group, with Extensions to Solving General Linear and Certain Nonlinear Integer Problems written by Fred Glover and published by . This book was released on 1966 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ralph Gomory has recently aroused interest in a special type of knapsack problem in which the constraint coefficients and constant term are elements of a finite additive group. The significance of this problem lies in the fact that it is closely related to the general integer linear programming problem, resulting by removing the nonnegativity restrictions on those variables in the general problem that lie in an optimal basis for the associated linear program. Gomory has shown how to solve the special knapsack problem by adapting a dynamic programming recursion originally designed for the ordinary knapsack problem, and has identified sufficient conditions under which the solution of the special knapsack problem will satisfy the nonnegativity requirements in the general integer program, thereby yielding an optimal solution to that problem as well. In this paper the author presents an algorithm for solving the special knapsack problem that is capable of accommodating a variety of constraints in addition to the special knapsack constraint. The purpose in doing this is to expand the range of problems for which the optimal solution for the special problem will also provide an optimal solution to the general integer program from which it was derived. (Author).
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 : Gerard Sierksma
Publisher : CRC Press
ISBN 13 : 9780824706739
Total Pages : 664 pages
Book Rating : 4.7/5 (67 download)
Download or read book Linear and Integer Programming written by Gerard Sierksma and published by CRC Press. This book was released on 2001-11-01 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Combines the theoretical and practical aspects of linear and integer programming. Provides practical case studies and techniques, including rounding-off, column-generation, game theory, multiobjective optimization, and goal programming, as well as real-world solutions to the transportation and transshipment problem, project scheduling, and decentralization."
Author : Bernard Kolman
Publisher : Elsevier
ISBN 13 : 148326968X
Total Pages : 417 pages
Book Rating : 4.4/5 (832 download)
Download or read book Elementary Linear Programming with Applications written by Bernard Kolman and published by Elsevier. This book was released on 2014-05-10 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Programming with Applications presents a survey of the basic ideas in linear programming and related areas. It also provides students with some of the tools used in solving difficult problems which will prove useful in their professional career. The text is comprised of six chapters. The Prologue gives a brief survey of operations research and discusses the different steps in solving an operations research problem. Chapter 0 gives a quick review of the necessary linear algebra. Chapter 1 deals with the basic necessary geometric ideas in Rn. Chapter 2 introduces linear programming with examples of the problems to be considered, and presents the simplex method as an algorithm for solving linear programming problems. Chapter 3 covers further topics in linear programming, including duality theory and sensitivity analysis. Chapter 4 presents an introduction to integer programming. Chapter 5 covers a few of the more important topics in network flows. Students of business, engineering, computer science, and mathematics will find the book very useful.
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (31 download)
Download or read book Decision-making in a Fuzzy Environment written by Richard Bellman and published by . This book was released on 1970 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elias Munapo
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110703114
Total Pages : 204 pages
Book Rating : 4.1/5 (17 download)
Download or read book Linear Integer Programming written by Elias Munapo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in recent years. Topics as Characteristic equation (CE), application of CE to bi-objective and multi-objective problems, Binary integer problems, Mixed-integer models, Knapsack models, Complexity reduction, Feasible-space reduction, Random search, Connected graph are also treated.
Author : S. Vajda
Publisher : Springer Science & Business Media
ISBN 13 : 9401169241
Total Pages : 156 pages
Book Rating : 4.4/5 (11 download)
Download or read book Linear Programming written by S. Vajda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is based on a course of about 16 hours lectures to students of mathematics, statistics, and/or operational research. It is intended to introduce readers to the very wide range of applicability of linear programming, covering problems of manage ment, administration, transportation and a number of other uses which are mentioned in their context. The emphasis is on numerical algorithms, which are illustrated by examples of such modest size that the solutions can be obtained using pen and paper. It is clear that these methods, if applied to larger problems, can also be carried out on automatic (electronic) computers. Commercially available computer packages are, in fact, mainly based on algorithms explained in this book. The author is convinced that the user of these algorithms ought to be knowledgeable about the underlying theory. Therefore this volume is not merely addressed to the practitioner, but also to the mathematician who is interested in relatively new developments in algebraic theory and in some combinatorial theory as well. The chapters on duality, and on flow in networks, are particularly directed towards this aim and they contain theorems which might not be directly relevant to methods of computation. The application of the concept of duality to the theory of games is of historical interest. It is hoped that the figures, which illustrate the results, will be found illuminating by readers with active geometrical imagination.
Author : Rabe v. Randow
Publisher : Springer Science & Business Media
ISBN 13 : 3642516548
Total Pages : 522 pages
Book Rating : 4.6/5 (425 download)
Download or read book Integer Programming and Related Areas written by Rabe v. Randow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.
Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540261990
Total Pages : 494 pages
Book Rating : 4.5/5 (42 download)
Download or read book Integer Programming and Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2005-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2005, held in Berlin, Germany in June 2005. The 34 revised full papers presented were carefully reviewed and selected from 119 submissions. Among the topics addressed are mixed-integer programming, graph theory, graph algorithms, approximation, linear programming, approximability, packing, scheduling, computational geometry, randomization, network algorithms, sequencing, TSP, and travelling salesman problem.
Author : Stanford University. Systems Optimization Laboratory
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.F/5 ( download)
Download or read book A further investigation of efficient heuristic procedures for integer linear programming with an interior written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1981 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some heuristic procedures for seeking a good approximate solution of any pure integer linear programming problem are evaluated. It was found that the procedures are extremely efficient, being computationally feasible for problems having hundreds of variables and constraints. Furthermore, they proved to be very effective in identifying good solutions, often obtaining optimal ones. Thus, the procedures provide a way of dealing with the frequently encountered integer programming problems that are beyond the computational capability of existing algorithms. For smaller problems, they also provide an advanced start for accelerating certain primal algorithms, including the author's Bound-and-Scan algorithm and Faaland and Hillier's Accelerated Bound-and-Scan algorithm. In addition, Jeroslow and Smith have found that imbedding the first part of one of these procedures inside the iterative step of a branch-and-bound algorithm can greatly improve the latter's efficiency in locating solutions whose objective function value is within a specified percentage of that for the optimal solution.
Author : Tibor Csendes
Publisher : Springer Science & Business Media
ISBN 13 : 9780792360575
Total Pages : 420 pages
Book Rating : 4.3/5 (65 download)
Download or read book Developments in Reliable Computing written by Tibor Csendes and published by Springer Science & Business Media. This book was released on 1999 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains 30 articles presented at SCAN-98, Budapest, Hungary. These papers cover all aspects of validation techniques in scientific computing, ranging from hardware requirements, elementary operations, high accuracy function evaluations and interval arithmetic to advanced validating techniques and applications in various fields of practical interest. Audience: This book is of interest to researchers and graduate students whose work involves validation techniques in scientific computing.
Author : Patrick Dennis Krolak
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (259 download)
Download or read book The Bounded Variable Algorithm for Solving Integer Linear Programming Problems written by Patrick Dennis Krolak and published by . This book was released on 1968 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Goemans
Publisher : Springer
ISBN 13 : 3642366945
Total Pages : 409 pages
Book Rating : 4.6/5 (423 download)
Download or read book Integer Programming and Combinatorial Optimization written by Michel Goemans and published by Springer. This book was released on 2013-03-12 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2013, held in Valparaíso, Chile, in March 2013. The 33 full papers presented were carefully reviewed and selected from 98 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization with the aim to present recent developments in theory, computation, and applications. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.
