Performance of a Three-Queue Polling System with Probabilistic Routing

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dc.contributor.authorIkoba, Nehemiah
dc.contributor.authorObilade, Titi
dc.date.accessioned2020-02-19T10:20:27Z
dc.date.available2020-02-19T10:20:27Z
dc.date.issued2018-05-30
dc.description.abstractThis research is aimed at modelling a specialized three-queue priority polling system with zero switchover times. The server dynamically allocates the system resources between two queues after serving the first queue. At near saturation levels, it is necessary to determine the performance of this routing discipline. With the assumption of poisson arrivals and exponential or Erlangian service times, the system equations were obtained via the embedded Markov chain approach. The waiting time distribution was also derived and compared with results from an appropriate simulation model. Erlangian distributed service times produced lower waiting times when compared with exponentially distributed service times for the same stream of input parameters. Hence the Erlang distribution provides a better alternative in modelling service times than the exponential distribution. This priority polling system could be deployed as a solution to certain production systems where three classes of products are produced. The polling model is also proposed as an appropriate fit for traffic systems with greedy server routing. The closed form solutions may prove to be extremely useful for system design and optimization in application areas as diverse as telecommunications, manufacturing, logistics, transportation and maintenance.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/3727
dc.language.isoenen_US
dc.publisherNigerian Association of Mathematical Physicsen_US
dc.relation.ispartofseriesJournal of the Nigerian Association of Mathematical Physics;Volume 46
dc.subjectpolling modelen_US
dc.subjectpolling probabilityen_US
dc.subjectwaiting timesen_US
dc.subjectprobability generating functionen_US
dc.subjectLaplace-Steiltjes transformen_US
dc.subjectsuper cycleen_US
dc.titlePerformance of a Three-Queue Polling System with Probabilistic Routingen_US
dc.typeArticleen_US

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