Geodesic
On~a walk in a~strip with inhibitory boundaries
Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 649-657

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

In the paper we have obtained ergodic theorems for walks generated by sums of stationarily connected random variables and two inhibitory boundaries. We have found representations for the steady-state distributions, permitting us to obtain in the case of independent summands a whole series of useful formulas. We discuss the connection of the results established with problems from queueing theory. 
@article{MZM_1975_17_4_a16,
     author = {A. A. Borovkov},
     title = {On~a walk in a~strip with inhibitory boundaries},
     journal = {Matemati\v{c}eskie zametki},
     pages = {649--657},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a16/}
}
TY  - JOUR
AU  - A. A. Borovkov
TI  - On~a walk in a~strip with inhibitory boundaries
JO  - Matematičeskie zametki
PY  - 1975
SP  - 649
EP  - 657
VL  - 17
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a16/
LA  - ru
ID  - MZM_1975_17_4_a16
ER  - 
%0 Journal Article
%A A. A. Borovkov
%T On~a walk in a~strip with inhibitory boundaries
%J Matematičeskie zametki
%D 1975
%P 649-657
%V 17
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a16/
%G ru
%F MZM_1975_17_4_a16
A. A. Borovkov. On~a walk in a~strip with inhibitory boundaries. Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 649-657. http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a16/