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Presents the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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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Introduction to Matrix Analytic Methods in Stochastic Modeling
Editore:
Society for Industrial and Applied Mathematics (SIAM), 1999
ISBN 10: 0898714257
ISBN 13: 9780898714258
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo FW-9780898714258
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Introduction to Matrix Analytic Methods in Stochastic Modeling
Editore:
Society for Industrial and Applied Mathematics, 1999
ISBN 10: 0898714257
ISBN 13: 9780898714258
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Condizione: Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo GRP105251619
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Introduction to Matrix Analytic Methods in Stochastic Modeling: 5 (ASA-SIAM Series on Statistics and Applied Probability, Series Number 5)
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Society for Industrial and Applied Mathematics, 1987
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ISBN 13: 9780898714258
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Introduction to Matrix Analytic Methods in Stochastic Modeling
Editore:
Society for Industrial and Applied Mathematics,U.S., US, 1999
ISBN 10: 0898714257
ISBN 13: 9780898714258
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Paperback. Condizione: New. 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.The authors begin by describing several examples of quasi-birth-and-death (QBD) processes. These examples give the reader an idea of the variety of models which are hidden by the general block notation as well as reinforce some of the terminology and notation used throughout the text. These same examples are used as illustrations later. The second part of the book deals with phase-type distributions and related-point processes, which provide a versatile set of tractable models for applied probability. Part three reviews birth-and-death processes, and points out that the arguments for these processes carry over to more general processes in a parallel manner and are based on Markov renewal theory.Part four covers material where algorithmic and probabilistic reasoning are most intimately connected. In three steps, the authors take you from one of the simplest iterative procedures to the fastest, relating the successive approximations to the dynamic behavior of the stochastic process itself. The final part goes beyond simple QBDs with a sequence of short chapters where the authors discuss various extensions to the analyzed processes. Their intention is to show that the fundamental ideas extend beyond simple homogeneous QBD. Codice articolo LU-9780898714258
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Introduction to Matrix Analytic Methods in Stochastic Modeling
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Society for Industrial & Applied, 1999
ISBN 10: 0898714257
ISBN 13: 9780898714258
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Introduction to Matrix Analytic Methods in Stochastic Modeling: 5 (ASA-SIAM Series on Statistics and Applied Probability, Series Number 5)
Editore:
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898714257
ISBN 13: 9780898714258
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Introduction to Matrix Analytic Methods in Stochastic Modeling
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Society for Industrial & Applied Mathematics,U.S., 1987
ISBN 10: 0898714257
ISBN 13: 9780898714258
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Latouche, G: An Introduction to Matrix Analytic Methods in S
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Condizione: New. KlappentextPresents the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner. Codice articolo 1652654277
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Introduction to Matrix Analytic Methods in Stochastic Modeling
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Taschenbuch. Condizione: Neu. Neuware - 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 usedsome 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.The authors begin by describing several examples of quasi-birth-and-death (QBD) processes. These examples give the reader an idea of the variety of models which are hidden by the general block notation as well as reinforce some of the terminology and notation used throughout the text. These same examples are used as illustrations later. The second part of the book deals with phase-type distributions and related-point processes, which provide a versatile set of tractable models for applied probability. Part three reviews birth-and-death processes, and points out that the arguments for these processes carry over to more general processes in a parallel manner and are based on Markov renewal theory.Part four covers material where algorithmic and probabilistic reasoning are most intimately connected. In three steps, the authors take you from one of the simplest iterative procedures to the fastest, relating the successive approximations to the dynamic behavior of the stochastic process itself. The final part goes beyond simple QBDs with a sequence of short chapters where the authors discuss various extensions to the analyzed processes. Their intention is to show that the fundamental ideas extend beyond simple homogeneous QBD. Codice articolo 9780898714258
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Introduction to Matrix Analytic Methods in Stochastic Modeling
Editore:
Society for Industrial and Applied Mathematics,U.S., US, 1999
ISBN 10: 0898714257
ISBN 13: 9780898714258
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Da: Rarewaves.com UK, London, Regno Unito
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Paperback. Condizione: New. 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.The authors begin by describing several examples of quasi-birth-and-death (QBD) processes. These examples give the reader an idea of the variety of models which are hidden by the general block notation as well as reinforce some of the terminology and notation used throughout the text. These same examples are used as illustrations later. The second part of the book deals with phase-type distributions and related-point processes, which provide a versatile set of tractable models for applied probability. Part three reviews birth-and-death processes, and points out that the arguments for these processes carry over to more general processes in a parallel manner and are based on Markov renewal theory.Part four covers material where algorithmic and probabilistic reasoning are most intimately connected. In three steps, the authors take you from one of the simplest iterative procedures to the fastest, relating the successive approximations to the dynamic behavior of the stochastic process itself. The final part goes beyond simple QBDs with a sequence of short chapters where the authors discuss various extensions to the analyzed processes. Their intention is to show that the fundamental ideas extend beyond simple homogeneous QBD. Codice articolo LU-9780898714258
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