Linear network optimization : algorithms and codes

書誌事項

Linear network optimization : algorithms and codes

Dimitri P. Bertsekas

MIT Press, c1991

  • : pbk

大学図書館所蔵 件 / 36

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注記

Includes bibliographical references and index

内容説明・目次

巻冊次

ISBN 9780262023344

内容説明

Large-scale optimization is becoming increasingly important for students and professionals in electrical and industrial engineering, computer science, management science and operations research, and applied mathematics. "Linear Network Optimization" presents a treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems. It explains important algorithms such as auction and relaxation, proposed by the author and others for the solution of these problems. Its coverage of both theory and implementations make it suitable as a text for a graduate-level course on network optimization as well as a practical guide to state-of-the-art codes in the field. Bertsekas focuses on the algorithms that have proved successful in practice and provides FORTRAN codes that implement them. Illustrations, examples and exercises are included in the text.

目次

  • Simplex methods
  • dual ascent methods
  • auction algorithms
  • performance and comparisons. Appendixes.
巻冊次

: pbk ISBN 9780262514439

内容説明

Linear Network Optimization presents a thorough treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems. Large-scale optimization is becoming increasingly important for students and professionals in electrical and industrial engineering, computer science, management science and operations research, and applied mathematics. Linear Network Optimization presents a thorough treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems. It is the first text to clearly explain important recent algorithms such as auction and relaxation, proposed by the author and others for the solution of these problems. Its coverage of both theory and implementations make it particularly useful as a text for a graduate-level course on network optimization as well as a practical guide to state-of-the-art codes in the field. Bertsekas focuses on the algorithms that have proved successful in practice and provides FORTRAN codes that implement them. The presentation is clear, mathematically rigorous, and economical. Many illustrations, examples, and exercises are included in the text. Contents Introduction * Simplex Methods * Dual Ascent Methods * Auction Algorithms * Performance and Comparisons * Appendixes

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