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Two-phase queuing system with unreliable servers

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Abstract

A two-phase queuing system with a finite number of places in the buffer between the phases and unreliable servers is considered. It is shown that the queuing system can be interpreted as a queue system working in a random environment. An ergodicity condition is found. An asymptotic of the traffic coefficient is obtained for the exponential case.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    I. V. Rudenko

Authors
  1. I. V. Rudenko
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Additional information

Original Russian Text © I.V. Rudenko, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 4, pp. 8–14.

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Rudenko, I.V. Two-phase queuing system with unreliable servers. Moscow Univ. Math. Bull. 67, 145–150 (2012). https://doi.org/10.3103/S002713221204002X

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  • DOI: https://doi.org/10.3103/S002713221204002X

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