Potential function methods for approximately solving linear programming problems : theory and practice

Author(s)
    • Bienstock, Daniel
Bibliographic Information

Potential function methods for approximately solving linear programming problems : theory and practice

Daniel Bienstock

(International series in operations research & management science, 53)

Kluwer Academic Publishers, c2002

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Note

Includes bibliographical references (p. [107]-110) and index

Description and Table of Contents

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.

Table of Contents

List of Figures. List of Tables. Preface. 1. Introduction. 1. Early Algorithms. 2. The Exponential Potential Function - Key Ideas. 3. Recent Developments. 4. Computational Experiments. Appendices. Index.

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Details
  • NCID
    BA63005115
  • ISBN
    • 1402071736
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boston
  • Pages/Volumes
    xix, 110 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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