Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 3, pp. 570-578
Citer cet article
L. G. Afanas'eva. On existence of a limit distribution in queueing systems with bounded sojourn time. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 3, pp. 570-578. http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a20/
@article{TVP_1965_10_3_a20,
author = {L. G. Afanas'eva},
title = {On existence of a~limit distribution in queueing systems with bounded sojourn time},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {570--578},
year = {1965},
volume = {10},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a20/}
}
TY - JOUR
AU - L. G. Afanas'eva
TI - On existence of a limit distribution in queueing systems with bounded sojourn time
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 570
EP - 578
VL - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a20/
LA - ru
ID - TVP_1965_10_3_a20
ER -
%0 Journal Article
%A L. G. Afanas'eva
%T On existence of a limit distribution in queueing systems with bounded sojourn time
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 570-578
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_3_a20/
%G ru
%F TVP_1965_10_3_a20
A necessary and sufficient condition for the existence of a limit distribution in queueing systems with bounded sojourn time is given. The proof of sufficiency is carried out with the help of the technique developed by Kiefer and Wolfowitz [5]. The necessity of the condition is proved by constructing some majorizing system with a simple queue.
