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Journal of Mathematical Sciences

, Volume 218, Issue 2, pp 111–118 | Cite as

Queueing System with Preemptive Resume Service Discipline and Unreliable Server*

  • S. Z. Aibatov
Article
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We consider a single server queue with an unreliable server and two Poisson input flows. For this system we find stability conditions and obtain the limit distribution of the number of customers in the system.

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References

  1. 1.
    L.G. Afanasyeva and E.E. Bashtova, “Coupling method for asymptotic analysis of queues with regenerative input and unreliable server,” Queueing Syst., 76, 125–147 (2014).MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    P.P. Bocharov and A.V. Pechinkin, Queueing Theory, Ross. Univ. Druzhby Narodov, Moscow (1995).MATHGoogle Scholar
  3. 3.
    D. Fiems, T. Maertens, and H. Brunee, “Queueing systems with different types of interruptions,” Eur. J. Oper. Res., 188, No. 3, 838–845 (2008).CrossRefMATHGoogle Scholar
  4. 4.
    D.P. Gaver, “A waiting line with interrupted service including priority,” J. R. Stat. Soc. Ser. B., 24, 73–90 (1962).MathSciNetMATHGoogle Scholar
  5. 5.
    J. Keilson, “Queues subject to service interruptions,” Ann. Math. Stat., 33, No. 4, 1314–1322 (1962).MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    D.G. Kendall, “Some problems in the theory of queues,” J. R. Stat. Soc., 13, No. 2, 151–185 (1951).MathSciNetMATHGoogle Scholar
  7. 7.
    T. Kernane, “A single server retrial queue with different types of server interruptions,” E-prints (2009).Google Scholar
  8. 8.
    A. Krishnamoorthy, P.K. Pramod, and S.R. Chakravarthy, “Queues with interruptions: a survey, ” TOP, 22, No. 1, 290–320 (2014).Google Scholar
  9. 9.
    H. White and L.S. Christie, “Queuing with preemptive priorities or with breakdown,” Oper. Res., 6, No. 1, 79–95 (1958).MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia

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