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Probability distribution in varying-structure queueing networks

  • Communication Network Theory
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Abstract

The paper is devoted to the computation of stationary distributions of queueing systems in random media. Results obtained for considered models follow from a theorem proved in the paper. As an application of the theorem, we consider Jackson networks whose structure (the set of working nodes, service and input flow intensities, routing matrix, state set) and type (open/closed network) varies as the state of another network or of the environment changes. Product-form formulas for the computation of stationary distributions of the considered networks are obtained, and algorithms for the solution of auxiliary problems are developed.

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References

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  3. Tsitsiashvili, G.Sh. and Osipova, M.A., New Product Theorems for Queueing Networks, Probl. Peredachi Inf., 2005, vol. 41, no. 2, pp. 111–122 [Probl. Inf. Trans. (Engl. Transl.), 2005, vol. 41, no. 2, pp. 171–181].

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far East Branch of the RAS, Vladivostok, Russia

    G. Sh. Tsitsiashvili & M. A. Osipova

Authors
  1. G. Sh. Tsitsiashvili
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  2. M. A. Osipova
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Additional information

Original Russian Text © G.Sh. Tsitsiashvili, M.A. Osipova, 2006, published in Problemy Peredachi Informatsii, 2006, Vol. 42, No. 2, pp. 101–108.

Supported in part by the Russian Foundation for Basic Research, project no. 03-01-00512a.

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Tsitsiashvili, G.S., Osipova, M.A. Probability distribution in varying-structure queueing networks. Probl Inf Transm 42, 158–165 (2006). https://doi.org/10.1134/S0032946006020098

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  • DOI: https://doi.org/10.1134/S0032946006020098

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