Geodesic
Queueing system with batch arrivals, batch service, failing server and regaining
Problemy fiziki, matematiki i tehniki, no. 4 (2012), pp. 66-69

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The author considers a single-server queueing system with batch arrivals and batch service. A server can fail. The failure completely clears the queue of the system if it is not empty. The time of the service and time of regaining are exponentially distributed. Stationary distribution of the states of the process describing the queueing system behavior is found.
Keywords: queueing system, batch arrivals, batch service. 
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     author = {A. N. Starovoitov},
     title = {Queueing system with batch arrivals, batch service, failing server and regaining},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {66--69},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_4_a12/}
}
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A. N. Starovoitov. Queueing system with batch arrivals, batch service, failing server and regaining. Problemy fiziki, matematiki i tehniki, no. 4 (2012), pp. 66-69. http://geodesic.mathdoc.fr/item/PFMT_2012_4_a12/