TITLE:
Ergodicity and Invariance of Flows in Queuing Systems
AUTHORS:
G. Sh. Tsitsiashvili
KEYWORDS:
A Queuing System, An Ergodicity, An Input Flow, A Randomly Varying Intensity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.7,
July
19,
2018
ABSTRACT: In this paper, we investigate the flow of customers
through queuing systems with randomly varying intensities. The analysis of the
Kolmogorov-Chapman system of stationary equations for this model showed that it
is not possible to construct a convenient symbolic solution. In this paper an
attempt is made to circumvent this requirement by referring to the ergodicity
theorems, which gives the conditions for the
existence of the limit distribution in the service processes, but do not
require knowledge of them.