Dmitry Efrosinin, Janos Sztrik,
"Performance Analysis and Statistical Modeling of the Single-Server Non-reliable Retrial Queueing System with a Threshold-Based Recovery"
, in Communications in computer and information science, Serie Information Technologies and Mathematical Modelling, Nummer 564, Springer, 2015, ISSN: 1865-0929
Performance Analysis and Statistical Modeling of the Single-Server Non-reliable Retrial Queueing System with a Threshold-Based Recovery
Sprache des Titels:
In this paper we study a single-server Markovian retrial
queueing system with non-reliable server and threshold-based recovery
policy. The arrived customer finding a free server either gets service
immediately or joins a retrial queue. The customer at the head of the
retrial queue is allowed to retry for service. When the server is busy, it
is subject to breakdowns. In a failed state the server can be repaired
with respect to the threshold policy: the repair starts when the number
of customers in the system reaches a fixed threshold level. Using a
matrix-analytic approach we perform a stationary analysis of the system.
The optimization problem with respect to the average cost criterion is
studied. We derive expressions for the Laplace transforms of the waiting
time. The problem of estimation and confidence interval construction for
the fully observable system is studied as well.
Sprache der Kurzfassung:
Communications in computer and information science
Information Technologies and Mathematical Modelling
Anzahl der Seiten:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift