Geodesic
About closed queuing networks with variable number of queues
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 5 (2005) no. 1, pp. 138-141

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Coпsider а closed queueing network with the possibllity of breakdowns at each server. When а breakdown occurs at one server, all customers there are transferred in queue with operational server immediately, and the server is then sent for repair. Steady-state probability of the queue sizes is obtained, and is shown to have а product form solution. 
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     title = {About closed queuing networks with variable number of queues},
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I. E. Tananko. About closed queuing networks with variable number of queues. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 5 (2005) no. 1, pp. 138-141. http://geodesic.mathdoc.fr/item/ISU_2005_5_1_a13/