Dmitry Efrosinin, Janos Sztrik,
"Performance Analysis and Statistical Modeling of the Single-Server Non-reliable Retrial Queueing System with a Threshold-Based Recovery"
: Information Technologies and Mathematical Modelling - Queueing Theory and Applications. 14th International Scientific Conference, ITMM 2015, named after A. F. Terpugov, Anzhero-Sudzhensk, Russia, November 18-22, 2015, Proceedings, Serie Communications in Computer and Information Science, Vol. 564, Springer, 2015, ISSN: 1865-0929
Original Titel:
Performance Analysis and Statistical Modeling of the Single-Server Non-reliable Retrial Queueing System with a Threshold-Based Recovery
Sprache des Titels:
Englisch
Original Buchtitel:
Information Technologies and Mathematical Modelling - Queueing Theory and Applications. 14th International Scientific Conference, ITMM 2015, named after A. F. Terpugov, Anzhero-Sudzhensk, Russia, November 18-22, 2015, Proceedings
Original Kurzfassung:
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:
Englisch
Veröffentlicher:
Springer
Serie:
Communications in Computer and Information Science
Forschungs-