TITLE:
On One Model of Multichannel Queuing System with Unreliable Repairable Servers and Input Memory
AUTHORS:
Ramaz R. Shamugia
KEYWORDS:
Multichannel Queuing Systems, QS with Unreliable Facilities, QS with Repairable Facilities, Servers with Failures, QS with Queues
JOURNAL NAME:
International Journal of Communications, Network and System Sciences,
Vol.7 No.8,
August
4,
2014
ABSTRACT: The work deals with
the development of analytical model of multichannel technical queuing system
with unreliable servers and input memory where server failure flows and
incoming request flows comply with Poissonian laws, while the flows of failed facilities
repairs and flows of incoming requests comply with exponential laws of
probability distribution. Random process of system change-over is a Markovian
process with continuous time and discrete states. Relations binding basic
parameters and output characteristics of the system indicated are obtained as
probabilities of system staying in the given moment in one of the possible
states. The proposed model is the most generalized compared to some models
known in literature which could be considered as special cases of the
considered model.