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Analytische Leistungsbewertung verteilter Systeme pp 197–238Cite as

Matrixanalytische Methode

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Zusammenfassung

Gegenstand dieses Kapitels ist eine kurze Einführung in die wichtigsten Eigenschaften der Matrixanalytischen Methode (engl. Matrix Geometric Method bzw. Matrix Analytic Method). Diese Methode stellt eine der bedeutendsten methodischen Neuentwicklungen zur Modellanalyse dar. Die Theorie geht auf Arbeiten von M. Neuts zurück. Eingehende Behandlungen der Methode finden sich in Neuts [6.2, 6.3], Lucantoni [6.7].

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Literatur zu Kapitel 6

Bücher

  1. Kleinrock, L. Queueing Systems, Band 1: Theory. Wiley, New York 1975

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  2. Neuts, M. F. Matrix-Geometrie Solutions in Stochastic Models. John Hopkins Univ. Press, Baltimore 1981

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  3. Neuts, M. F. Structured Stochastic Matrices of M/G/1 Type and Their Applications. Dekker, New York 1989

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  4. Syski, R. Introduction to Congestion Theory in Telephone Systems. North-Holland, Amsterdam 1986

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Aufsätze

  1. Fischer, W. Meier-Hellstern, K. S. The Markov-modulated Poisson process (MMPP) cookbook. Perf. Eval. 18:149–171 (1992)

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  2. Lucantoni, D. M. New results on the single server queue with a batch Markovian arrival process. Stochast. Models 7(1):1–46 (1991)

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  3. Lucantoni, D. M. The BMAP/G/1 queue: A tutorial. L. Donatiello, R. Nelson (ed.), Models and Techniques for Performance Evaluation of Computer and Communication Systems, Springer, Berlin 1993

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  4. Lucantoni, D. M., Meier-Hellstern, K. S., Neuts, M. F. A single server queue with server vacations and a class of non-renewal arrival processes. Ann. Appl. Prob. (September 1990)

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  5. Neuts, M. F. A versatile Markovian point process. J. Appl. Prob. 16:764–779 (1979)

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  6. Neuts, M. F. Models based on the Markovian arrival process. IEICE Trans. Commun. E75-B(12) (1992)

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Authors and Affiliations

  1. Lehrstuhl für Verteilte Systeme, Universität Würzburg, Am Hubland, D-97074, Würzburg, Germany

    Prof. Dr.-Ing. Phuoc Tran-Gia

Authors
  1. Prof. Dr.-Ing. Phuoc Tran-Gia
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© 1996 Springer-Verlag Berlin Heidelberg New York

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Tran-Gia, P. (1996). Matrixanalytische Methode. In: Analytische Leistungsbewertung verteilter Systeme. Springer-Lehrbuch. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80068-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-80068-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60666-6

  • Online ISBN: 978-3-642-80068-9

  • eBook Packages: Springer Book Archive

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