Geodesic
Limit Theorems for an~Infinite-Server Queuing System
Matematičeskie zametki, Tome 98 (2015) no. 4, pp. 590-605

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider an infinite-server queuing system with a doubly stochastic Poisson input flow. Assuming that the service time does not have expectation, we prove limit theorems for the number of occupied servers. As a consequence, we obtain limit theorems for systems in which the input flow intensity is a regenerative process.
Keywords: infinite-server queuing system, doubly stochastic Poisson flow, regenerative process, limit theorem. 
@article{MZM_2015_98_4_a8,
     author = {E. Chernsvakaya},
     title = {Limit {Theorems} for {an~Infinite-Server} {Queuing} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {590--605},
     publisher = {mathdoc},
     volume = {98},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_4_a8/}
}
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E. Chernsvakaya. Limit Theorems for an~Infinite-Server Queuing System. Matematičeskie zametki, Tome 98 (2015) no. 4, pp. 590-605. http://geodesic.mathdoc.fr/item/MZM_2015_98_4_a8/