Discrete Time Retrial Queueing Model With Vacation - N, Paranjothi
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This monograph provides some discrete time vacation queues and retrial queues with a bulk service rule. The arrival pattern follows geometric distribution and the service time is generally distributed with a single server. The arriving packets receive batch service in the first phase followed by individual service in the second phase. Further, for an M/M/1 retrial queueing model with Bernoulli verification law, Steady state condition, joint distribution of busy server and number of customers present in the orbit at a random epoch has been determined and illustrated. An optimization problem is…mehr

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Produktbeschreibung
This monograph provides some discrete time vacation queues and retrial queues with a bulk service rule. The arrival pattern follows geometric distribution and the service time is generally distributed with a single server. The arriving packets receive batch service in the first phase followed by individual service in the second phase. Further, for an M/M/1 retrial queueing model with Bernoulli verification law, Steady state condition, joint distribution of busy server and number of customers present in the orbit at a random epoch has been determined and illustrated. An optimization problem is provided to support the results. Using probability generating function (p.g.f) approach, the analysis has been carried out under the usual assumptions of queueing theory.
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Autorenporträt
Dr. N. Paranjothi is presently working as a Assistant Professor in the Department of Statistics Annamalai University, Tamilnadu, India. He has more than 15 years of teaching experience in post graduate level and he has published more than 20 research papers in the national and international journals. He has successfully guided few Ph.D fellows.