On the Feasibility of a Generalized Linear Program PDF Download
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Author: Hu Hui
Publisher:
ISBN:
Category : Linear programming
Languages : en
Pages : 26
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Book Description
Abstract: "The first algorithm for solving generalized linear programs was given by George B. Dantzig. His algorithm assumes that a basic feasible solution of the generalized linear program to be solved exists and is given. If the initial basic feasible solution is non-degenerate, then his algorithm is guaranteed to converge. The purpose of this paper is to show how to find an initial basic feasible (possibly degenerate) solution of a generalized linear program by applying the same algorithm to a 'phase-one' problem without requiring that the initial basic feasible solution to the latter be non-degenerate."
Author: Hu Hui
Publisher:
ISBN:
Category : Linear programming
Languages : en
Pages : 26
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Book Description
Abstract: "The first algorithm for solving generalized linear programs was given by George B. Dantzig. His algorithm assumes that a basic feasible solution of the generalized linear program to be solved exists and is given. If the initial basic feasible solution is non-degenerate, then his algorithm is guaranteed to converge. The purpose of this paper is to show how to find an initial basic feasible (possibly degenerate) solution of a generalized linear program by applying the same algorithm to a 'phase-one' problem without requiring that the initial basic feasible solution to the latter be non-degenerate."
Author: Evar D. Nering
Publisher: Academic Press
ISBN: 9780125154406
Category : Computers
Languages : en
Pages : 618
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Book Description
This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.
Author: John W. Chinneck
Publisher: Springer Science & Business Media
ISBN: 0387749322
Category : Mathematics
Languages : en
Pages : 283
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Book Description
Written by a world leader in the field and aimed at researchers in applied and engineering sciences, this brilliant text has as its main goal imparting an understanding of the methods so that practitioners can make immediate use of existing algorithms and software, and so that researchers can extend the state of the art and find new applications. It includes algorithms on seeking feasibility and analyzing infeasibility, as well as describing new and surprising applications.
Author: Advisory Committee on Technology and Society
Publisher: National Academies Press
ISBN: 9780309037860
Category : Social Science
Languages : en
Pages : 1298
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Book Description
Cities and Their Vital Systems asks basic questions about the longevity, utility, and nature of urban infrastructures; analyzes how they grow, interact, and change; and asks how, when, and at what cost they should be replaced. Among the topics discussed are problems arising from increasing air travel and airport congestion; the adequacy of water supplies and waste treatment; the impact of new technologies on construction; urban real estate values; and the field of "telematics," the combination of computers and telecommunications that makes money machines and national newspapers possible.
Author: George B. Dantzig
Publisher: Springer Science & Business Media
ISBN: 0387215697
Category : Mathematics
Languages : en
Pages : 461
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Book Description
George Dantzig is widely regarded as the founder of this subject with his invention of the simplex algorithm in the 1940's. In this second volume, the theory of the items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering and applied mathematics will thus find this volume of particular interest.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1134
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Book Description
Author: Daniel Bienstock
Publisher: Springer Science & Business Media
ISBN: 0306476266
Category : Mathematics
Languages : en
Pages : 123
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Book Description
Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. The book draws on the research developments in three broad areas: linear and integer programming, numerical analysis, and the computational architectures which enable speedy, high-level algorithm design. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems. This work both has roots in fundamental areas of mathematical programming and is also framed in the context of the modern theory of algorithms. The result of this work, in which Daniel Bienstock has been very much involved, has been a family of algorithms with solid theoretical foundations and with growing experimental success. This book will examine these algorithms, starting with some of the very earliest examples, and through the latest theoretical and computational developments.
Author: Bernard Kolman
Publisher: Academic Press
ISBN: 0080530796
Category : Mathematics
Languages : en
Pages : 474
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Book Description
Linear programming finds the least expensive way to meet given needs with available resources. Its results are used in every area of engineering and commerce: agriculture, oil refining, banking, and air transport. Authors Kolman and Beck present the basic notions of linear programming and illustrate how they are used to solve important common problems. The software on the included disk leads students step-by-step through the calculations. The Second Edition is completely revised and provides additional review material on linear algebra as well as complete coverage of elementary linear programming. Other topics covered include: the Duality Theorem; transportation problems; the assignment problem; and the maximal flow problem. New figures and exercises are provided and the authors have updated all computer applications. - More review material on linear algebra - Elementary linear programming covered more efficiently - Presentation improved, especially for the duality theorem, transportation problems, the assignment problem, and the maximal flow problem - New figures and exercises - Computer applications updated - New guide to inexpensive linear programming software for personal computers
Author: S.C. Sharma
Publisher: Discovery Publishing House
ISBN: 9788183560931
Category : Operations research
Languages : en
Pages : 304
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Book Description
This book on Operation Research has been specially written to meet the requirements of the M.Sc., M.Com. and M.B.A. students for all Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proof of various theorems and examples has been given with minute details. Each chapter of this book contains complete theory and fairly large number of solved examples, sufficient problems have also been selected from various universities examination papers. Contents: Simulation, LPP with Applications, Minimization Problem, Replacement and Maintenance Theory.
Author: Saul I. Gass
Publisher: Courier Corporation
ISBN: 0486319601
Category : Computers
Languages : en
Pages : 194
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Book Description
Entertaining, nontechnical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, network problems, much more. Only high-school algebra needed.
