Steady state queue size distribution of an M/M/1 queue with disasters and repairs under Bernoulli working vacation schedule

Abstract

An M/M/1 queueing model with disasters and repairs under Bernoulli working vacation schedule is considered. In this model, after every completion of service the server has the choice to choose the normal busy state with probability p or he may choose the working vacation state with probability q. Also, disasters are allowed to occur in the busy state. In this paper, the stationary PGF of the number of customers in the system and some performance measures are derived.