Geodesic
Ergodic Theorem for a~Queue with Unreliable Server
Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 803-814

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A single server queue with unreliable server is considered. The server breakdown probability depends on the state of a random medium described by a Markov chain. An ergodic theorem is proved for this system.
Keywords: regenerative flow, unreliable server, ergodicity, limit theorems, random medium.
Mots-clés : Markov chain 
@article{MZM_2015_97_6_a0,
     author = {S. Zh. Aibatov},
     title = {Ergodic {Theorem} for {a~Queue} with {Unreliable} {Server}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {803--814},
     publisher = {mathdoc},
     volume = {97},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a0/}
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S. Zh. Aibatov. Ergodic Theorem for a~Queue with Unreliable Server. Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 803-814. http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a0/