Geodesic
A queueing system with Erlang incoming flow with relative priority
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 860-866 Cet article a éte moissonné depuis la source Math-Net.Ru

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A one-channel queueing system with waiting delay and relative priority is considered. Incoming claims are separated into $r$ classes, numbered by $1,\dots,r$, each claim getting to the $i$-th class with probability $p_i$ ($i=1,\dots,r$), $\displaystyle\sum_i p_i=1$. Claims of the $i$-th class have priority with respect to those of the $j$-th class for $j>i$. Claims arrive at the input of the system according to the Erlang law. Service times are jointly independent absolutely continuous random variables. To each priority class, there corresponds a distribution function of the service time. The behaviour of the queue size (in non-stationary regime) and busy period is studied. 
@article{TVP_1977_22_4_a18,
     author = {V. G. U\v{s}akov},
     title = {A queueing system with {Erlang} incoming flow with relative priority},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {860--866},
     year = {1977},
     volume = {22},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a18/}
}
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V. G. Ušakov. A queueing system with Erlang incoming flow with relative priority. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 860-866. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a18/