Geodesic
Heavy traffic approximation for two-phase queueing system
Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 2, pp. 302-320 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We investigate the heavy traffic approximation for two-phase queueing system with unbounded queues at each phase. It is proved that the limit distribution function of waiting times is the solution of an elliptic differential equation in a plane angle with an oblique derivative on the boundary. This solution may be obtained by means of reducing to some boundary problem for a function of a complex variable. 
@article{TVP_1981_26_2_a4,
     author = {F. I. Karpelevi\v{c} and A. Ya. Kreǐnin},
     title = {Heavy traffic approximation for two-phase queueing system},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {302--320},
     year = {1981},
     volume = {26},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a4/}
}
TY  - JOUR
AU  - F. I. Karpelevič
AU  - A. Ya. Kreǐnin
TI  - Heavy traffic approximation for two-phase queueing system
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1981
SP  - 302
EP  - 320
VL  - 26
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a4/
LA  - ru
ID  - TVP_1981_26_2_a4
ER  - 
%0 Journal Article
%A F. I. Karpelevič
%A A. Ya. Kreǐnin
%T Heavy traffic approximation for two-phase queueing system
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1981
%P 302-320
%V 26
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a4/
%G ru
%F TVP_1981_26_2_a4
F. I. Karpelevič; A. Ya. Kreǐnin. Heavy traffic approximation for two-phase queueing system. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 2, pp. 302-320. http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a4/