Geodesic
On a rate of convergence in the $GI|G|1| \infty$ model
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2004), pp. 28-33.

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

In the present paper one more estimation on a rate of convergence of actual waiting time to its stationary value in the $GI|G|1| \infty$ model is obtained. It leads to a similar estimation for total empty time of a server when the traffic intensity of the model is more than one. 
@article{UZERU_2004_1_a2,
     author = {T. A. Grigoryan},
     title = {On a rate of convergence in the $GI|G|1| \infty$ model},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {28--33},
     publisher = {mathdoc},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2004_1_a2/}
}
TY  - JOUR
AU  - T. A. Grigoryan
TI  - On a rate of convergence in the $GI|G|1| \infty$ model
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2004
SP  - 28
EP  - 33
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2004_1_a2/
LA  - ru
ID  - UZERU_2004_1_a2
ER  - 
%0 Journal Article
%A T. A. Grigoryan
%T On a rate of convergence in the $GI|G|1| \infty$ model
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2004
%P 28-33
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2004_1_a2/
%G ru
%F UZERU_2004_1_a2
T. A. Grigoryan. On a rate of convergence in the $GI|G|1| \infty$ model. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2004), pp. 28-33. http://geodesic.mathdoc.fr/item/UZERU_2004_1_a2/

[1] B. V. Gnedenko, I. N. Kovalenko, Vvedenie v teoriyu massovogo obsluzhivaniya, Nauka, M., 1987 | MR

[2] L. Kleinrok, Vychislitelnye sistemy s ocheredyami, Mir, M., 1979

[3] A. A. Borovkov, Veroyatnostnye protsessy v teorii massovogo obsluzhivaniya, Nauka, M., 1972

[4] V. V. Petrov, Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987

[5] N. U. Prahbu, Stochastic Storage Processes, Springer-Verlag, New-York-Heidelberg-Berlin, 1980 | MR