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Introduction to Matrix Analytic Methods in Stochastic Modeling

Introduction to Matrix Analytic Methods in Stochastic Modeling

£63.00

Part of ASA-SIAM Series on Statistics and Applied Probability

  • Date Published: January 1999
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714258

£ 63.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
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About the Authors
  • Matrix analytic methods are popular as modeling tools because they give one the ability to construct and analyze a wide class of queuing models in a unified and algorithmically tractable way. The authors present the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner. In the current literature, a mixed bag of techniques is used-some probabilistic, some from linear algebra, and some from transform methods. Here, many new proofs that emphasize the unity of the matrix analytic approach are included.

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    Product details

    • Date Published: January 1999
    • format: Paperback
    • isbn: 9780898714258
    • length: 348 pages
    • dimensions: 250 x 180 x 20 mm
    • weight: 0.602kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • Table of Contents

    Preface
    Part I. Quasi-Birth-and-Death Processes. 1. Examples
    Part II. The Method of Phases. 2. PH Distributions
    3. Markovian Point Processes
    Part III. The Matrix-Geometric Distribution. 4. Birth-and-Death Processes
    5. Processes Under a Taboo
    6. Homogeneous QBDs
    7. Stability Condition
    Part IV. Algorithms. 8. Algorithms for the Rate Matrix
    9. Spectral Analysis
    10. Finite QBDs
    11. First Passage Times
    Part V. Beyond Simple QBDs. 12. Nonhomogeneous QBDs
    13. Processes, Skip-Free in One Direction
    14. Tree Processes
    15. Product Form Networks
    16. Nondenumerable States
    Bibliography
    Index.

  • Authors

    G. Latouche

    V. Ramaswami

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