Analysis of a Three-Queue Polling System with Probabilistic Routing

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dc.contributor.authorIkoba, N. A.
dc.contributor.authorObilade, T. O.
dc.date.accessioned2018-12-18T09:15:11Z
dc.date.available2018-12-18T09:15:11Z
dc.date.issued2014-06-01
dc.description.abstractIn this paper, we consider a three-queue polling system with probabilistic routing. The choice of the queue to be visited next may depend on the current state of the system through the polling probability. Using the embedded Markov chain technique, we derived expressions for the steady-state joint and marginal queue length distribution at the switch points, as well as the waiting time distribution at each queue. The relation between the queue length and waiting time distributions becomes inherent in the model, providing a platform for easily computing waiting time moments.en_US
dc.identifier.citationIkoba, N. A. and Obilade, T. O. (2014). Analysis of a Three-Queue Polling System with Probabilistic Routing. Ilorin Journal of Science, 1 (1); 87-99en_US
dc.identifier.issn2408-4840
dc.identifier.urihttp://hdl.handle.net/123456789/1420
dc.language.isoenen_US
dc.publisherFaculty of Physical Sciences, University of Ilorin, Ilorin, Nigeriaen_US
dc.relation.ispartofseriesIlorin Journal of Science;1 (1); 87-99
dc.subjectPolling modelen_US
dc.subjectprobability generating functionen_US
dc.subjectLaplace-Stieltjes transformen_US
dc.subjectsuper cycleen_US
dc.subjectStochastic processesen_US
dc.titleAnalysis of a Three-Queue Polling System with Probabilistic Routingen_US
dc.typeArticleen_US

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