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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This work is partially supported by RFBR-grant 13–01–00653.
Proceedings of the XXXII International Seminar on Stability Problems for Stochastic Models, Trondheim, Norway, June 16–21, 2014.
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Aibatov, S.Z. Queueing System with Preemptive Resume Service Discipline and Unreliable Server*. J Math Sci 218, 111–118 (2016). https://doi.org/10.1007/s10958-016-3014-8
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DOI: https://doi.org/10.1007/s10958-016-3014-8