Queueing system Geo/Geo/1 with Bernoulli feedback

Queueing system Geo/Geo/1 with Bernoulli feedback

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Article ID: iaor2006627
Country: China
Volume: 21
Issue: 2
Start Page Number: 8
End Page Number: 11
Publication Date: Jun 2004
Journal: Journal of Chongqing Normal University, Natural Science Edition
Authors: ,
Keywords: Geo/Geo/1
Abstract:

In the paper we discuss the queueing system Geo/Geo/1 with Bernoulli feedback. By the imbedded Markov chain theory and the probability generating function method, we give the probability generating function of the queue sizes and mean, the equation of probability generating function of busy periods and mean in stable conditions for this system. Using the relation of queuing sizes and sequence of sojourn time, we give the probability generating function of sojourn time.

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