Geodesic
On the stationary distributions in some queueing systems
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2021), pp. 5-13

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

This paper deals with two queuing system: $M_{\lambda}|G|n|\infty$ and $GI_{\lambda}^{\nu}|M_{\mu}|1|\infty$. The purpose is to find the steady-state results in terms of the probability-generating functions.
Keywords: queueing system, batch arrivals, probability generating functions, embedded Markov chain, renewal process. 
@article{VTPMK_2021_4_a0,
     author = {V. N. Sobolev and A. E. Kondratenko},
     title = {On the stationary distributions in some queueing systems},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {5--13},
     publisher = {mathdoc},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2021_4_a0/}
}
TY  - JOUR
AU  - V. N. Sobolev
AU  - A. E. Kondratenko
TI  - On the stationary distributions in some queueing systems
JO  - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
PY  - 2021
SP  - 5
EP  - 13
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTPMK_2021_4_a0/
LA  - ru
ID  - VTPMK_2021_4_a0
ER  - 
%0 Journal Article
%A V. N. Sobolev
%A A. E. Kondratenko
%T On the stationary distributions in some queueing systems
%J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
%D 2021
%P 5-13
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTPMK_2021_4_a0/
%G ru
%F VTPMK_2021_4_a0
V. N. Sobolev; A. E. Kondratenko. On the stationary distributions in some queueing systems. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2021), pp. 5-13. http://geodesic.mathdoc.fr/item/VTPMK_2021_4_a0/