A two server queue with Bernoulli schedules and a single vacation policy

摘要

In this paper, we study a two server 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 heterogeneous exponential 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. A particular case is discussed and a numerical example is provided.