Steady State Analysis Of An M/D/2 Queue With Bernoulli Schedule Server Vacations
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May 1, 2003
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Kailash C. Madan
Department of Statistics, Faculty of Science Yarmouk University, Irbid, Jordan
Walid Abu-Dayyeh
Department of Statistics, Faculty of Science Yarmouk University, Irbid, Jordan
Firas Tayyan
Department of Statistics, Faculty of Science Yarmouk University, Irbid, Jordan
Abstract
We examine an M/D/2 queue with Bernoulli schedules and a single vacation policy. We have assumed Poisson arrivals waiting in a single queue and two parallel servers who provide identical deterministic service to customers on first-come, first-served basis. We consider two models; in one we assume that after completion of a service both servers can take a vacation while in the other we assume that only one may take a vacation. The vacation periods in both models are assumed to be exponential. We obtain steady state probability generating functions of system size for various states of the servers.
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