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You searched IISERK - Author: Ramakrishnan, M., 1940-
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Call Number
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519.2/3
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Author
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Latouche, G. (Guy)
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Title
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Introduction to matrix analytic methods in stochastic modeling [electronic resource] / G. Latouche, V. Ramaswami.
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Publication
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Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1999.
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Material Info.
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1 electronic text (xiv, 334 p.) : ill., digital file.
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Series
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ASA-SIAM series on statistics and applied probability ; 5
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Series
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ASA-SIAM series on statistics and applied probability ; 5.
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Summary Note
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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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Notes
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Includes bibliographical references (p. 313-324) and index.
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Notes
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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.
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ISBN
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9780898719734 (electronic bk.)
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Subject
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Markov processes.
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Subject
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Queuing theory.
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Subject
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Matrix analytic methods.
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Subject
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Markov processes
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Subject
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Queuing theory
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Subject
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Matrices
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Subject
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Birth-and-death processes
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Added Entry
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Ramaswami, V.
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Added Entry
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Society for Industrial and Applied Mathematics.
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Date
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Year, Month, Day:01405141
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Link
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SIAM
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