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Approximation for Finite Capacity Multiqueue Systems

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Book cover Messung, Modellierung und Bewertung von Rechensystemen

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

Abstract

In performance investigations of token ring local area networks, switching systems with distributed control etc., the class of polling models, i.e. multiqueue systems with cyclic service is often employed. In this paper, an approximate analysis method for this class of models will be presented, whereby realistic modelling assumptions like the finiteness of queue capacities and nonsymmetrical load conditions are taken into account. The method of imbedded Markov chain is used for the analysis, whereby the special case of Markovian as well as the case of general service time are successively considered. The latter case is analyzed in conjunction with a moment matching approach for the cycle time. The approximation accuracy is validated by means of computer simulations. Numerical results are shown in order to illustrate the accuracy of the calculation method and its dependency on system parameters.

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References

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© 1985 Springer-Verlag Berlin Heidelberg

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Tran-Gia, P., Raith, T. (1985). Approximation for Finite Capacity Multiqueue Systems. 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_24

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  • DOI: https://doi.org/10.1007/978-3-642-87472-7_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15969-8

  • Online ISBN: 978-3-642-87472-7

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