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Analysis of Large Markovian Models by Parts. Applications to Queueing Network Models

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Messung, Modellierung und Bewertung von Rechensystemen

Part of the book series: Informatik—Fachberichte ((INFORMATIK,volume 110))

Abstract

The Markov chain remains one of the most useful and flexible techniques for the evaluation of the performances and of the reliability characteristics of models of communication and computer systems.

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References

  1. Berman, A., and Plemmons, R.J., Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, 1979, 132–142.

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  2. Courtois, P.-J., and Semal, P., Bounds for the Positive Eigenvectors of Nonnegative Matrices and for Their Approximations by Decomposition, J. Assoc. Comput. Mach., 31, 1984, 804–825.

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  3. Courtois, P.-J., and Semai, P., On Polyhedra of Perron-Frobenius Eigenvectors, Linear Algebra and its Applications, 65, 1985, 157–170.

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  4. Courtois, P.-J., and Semai, P., Block Decomposition and Iteration in Stochastic Matrices, Philips Journal of Research, 39, 1984, 178–194.

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  5. Courtois, P.-J., and Semai, P., Analysis of large Markovian Models by Parts. Error Bounds and Applications. Manuscript M 109, Philips Research Laboratory, Brussels May 1985.

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  6. Kemeny, J.G., and Snell, J.L., Finite Markov Chain, D. Van Nostrand Co., Inc., New York, 1960, 150–152.

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  7. Wunderlich, E.F., Kaufman, L., Gopinath, B., The Control of Store and Forward Congestion in Packet Switching Networks, Proc. 5th Int. Conference on Computer Communication, Atlanta, 1980.

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Author information

Authors and Affiliations

  1. Philips Research Laboratory, Av. Van Becelaere 2, Box 8, B-1170, Brussels, Belgium

    P.-J. Courtois

Authors
  1. P.-J. Courtois
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Editor information

Editors and Affiliations

  1. Lehrstuhl Informatik IV, Universität Dortmund, Postfach 500500, 4600, Dortmund, Deutschland

    Heinz Beilner

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© 1985 Springer-Verlag Berlin Heidelberg

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Courtois, PJ. (1985). Analysis of Large Markovian Models by Parts. Applications to Queueing Network Models. In: Beilner, H. (eds) Messung, Modellierung und Bewertung von Rechensystemen. Informatik—Fachberichte, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87472-7_1

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  • DOI: https://doi.org/10.1007/978-3-642-87472-7_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15969-8

  • Online ISBN: 978-3-642-87472-7

  • eBook Packages: Springer Book Archive

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