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Stationary Mode and Binomial Moments for Networks of the Type [SM|GI|∞]r

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Ukrainian Mathematical Journal Aims and scope

Abstract

By using methods of the Markov renewal theory, we find conditions for the existence of a stationary mode for multichannel networks with semi-Markov input stream. As a tool of stationary distribution analysis, we introduce multivariate binomial moments and investigate their asymptotic properties. For a multichannel queuing system with periodic input stream, we construct the generating function of the stationary distribution in explicit form in terms of the parameters of the system under consideration.

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Authors and Affiliations

  1. Shevchenko Kiev University, Kiev

    E. O. Lebedev

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  1. E. O. Lebedev
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Lebedev, E.O. Stationary Mode and Binomial Moments for Networks of the Type [SM|GI|∞]r . Ukrainian Mathematical Journal 54, 1656–1668 (2002). https://doi.org/10.1023/A:1023732303635

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  • DOI: https://doi.org/10.1023/A:1023732303635

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