TITLE:
Semi-Markovian Model of Two-Line Queuing System with Losses
AUTHORS:
Yuriy E. Obzherin
KEYWORDS:
Two-Line Queuing System with Losses, Semi-Markov Process, Stationary Distribution of Embedded Markov Chain, Stationary Characteristics of System
JOURNAL NAME:
Intelligent Information Management,
Vol.8 No.2,
March
25,
2016
ABSTRACT: In the present paper, to build model of
two-line queuing system with losses GI/G/2/0, the approach introduced by V.S.
Korolyuk and A.F. Turbin, is used. It is based on application of the theory of
semi-Markov processes with arbitrary phase space of states. This approach
allows us to omit some restrictions. The stationary characteristics of the
system have been defined, assuming that the incoming flow of requests and their
service times have distributions of general form. The particular cases of the
system were considered. The used approach can be useful for modeling systems of
various purposes.