Steady state analysis of an M/D/2 queue with Bernoulli schedule server vacations

Steady state analysis of an M/D/2 queue with Bernoulli schedule server vacations

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Article ID: iaor2005772
Country: United States
Volume: 2
Issue: 1
Start Page Number: 202
End Page Number: 209
Publication Date: May 2003
Journal: Journal of Modern Applied Statistical Methods
Authors: , ,
Keywords: vacation models, M/D/c queues
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 make 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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