2004•Unpublished venueRequires access

Queueing System Geo~ξ/Geo/1 with Bernoulli Feedback

Pan Zhi

Abstract

In the paper we discuss the queueing system Geoξ/Geo/1 with Beronulli 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.In stable conditions.Using the relation of queuing sizes and sequence of sojourn time,we give the probability generationg function of sojourn time.

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Key concepts: Generating function, Probability-generating function, Bernoulli's principle, Queueing theory, Bernoulli trial, Markov chain, Queue, Function (biology)