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: | Madan Kailash C., Abu-Dayyeh Walid, Tayyan Firas |
Keywords: | vacation models, M/D/c queues |
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.