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Service networks with multichannel nodes in a random environment

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Abstract

Service networks with multichannel nodes of semi-Markovian type are considered. The parameters of a source of demands depend on the state of the Markovian random environment. For the process of servicing demands, the conditions of existence of a stationary mode are found, and the properties of stationary distribution in terms of spectral characteristics of the routing matrix are investigated.

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References

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Authors and Affiliations

  1. Taras Shevchenko University, Kiev, Ukraine

    E. A. Lebedev

  2. National Technical University (KPI), Kiev, Ukraine

    N. V. Shmigevskii

Authors
  1. E. A. Lebedev
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  2. N. V. Shmigevskii
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Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 167–172, January–February, 2000.

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Lebedev, E.A., Shmigevskii, N.V. Service networks with multichannel nodes in a random environment. Cybern Syst Anal 36, 136–140 (2000). https://doi.org/10.1007/BF02733309

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  • DOI: https://doi.org/10.1007/BF02733309

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