Geodesic
Large deviation probabilities for the system $M/G/1/\infty$ with unreliable server
Teoriâ veroâtnostej i ee primeneniâ, Tome 61 (2016) no. 2, pp. 378-384

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We consider a one-channel queue with an unreliable server. Assuming that recovery time and service time have heavy tails, we find the asymptotic behavior of the large deviations probabilities for a process of virtual waiting time in a stationary regime. 
@article{TVP_2016_61_2_a8,
     author = {S. Zh. Aibatov},
     title = {Large deviation probabilities for the system $M/G/1/\infty$ with unreliable server},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {378--384},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2016_61_2_a8/}
}
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S. Zh. Aibatov. Large deviation probabilities for the system $M/G/1/\infty$ with unreliable server. Teoriâ veroâtnostej i ee primeneniâ, Tome 61 (2016) no. 2, pp. 378-384. http://geodesic.mathdoc.fr/item/TVP_2016_61_2_a8/