Geodesic
Two-phase queuing system with unreliable servers
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2012), pp. 8-14

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A two-phase queueing system with a finite number of places in the buffer between the phases and unreliable servers is considered. It is shown that the queueing system can be interpreted as a queue functioning in a random environment. The ergodicity condition is found. The asymptotics of the traffic coefficient is obtained for the exponential case. 
@article{VMUMM_2012_4_a1,
     author = {I. V. Rudenko},
     title = {Two-phase queuing system with unreliable servers},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {8--14},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a1/}
}
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I. V. Rudenko. Two-phase queuing system with unreliable servers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2012), pp. 8-14. http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a1/