A BMAP|PH|1 queue with feedback operating in a random environment

Authors:
U. Krieger;V. I. Klimenok;A. V. Kazimirsky;L. Breuer;A. N. Dudin
Affiliations:
-;-;-;-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2005

Citing 3
Cited 2

Sojourn time problems in feedback queues

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Erlang loss queueing system with batch arrivals operating in a random environment

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Abstract

Feedback queues play an important role in real-life service systems, where customers may require repeated services. In this paper, we consider a feedback queue with batch Markovian arrivals and phase type services. We further assume that both the arrival process and service times are influenced by an external finite state Markovian environment. The stationary state distributions of the queue and the sojourn time are calculated and numerical examples are presented.