Transient analysis of a single server 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 may take vacation with probability q or the server may render service to the next customer with probability p. By considering the disaster to occur, only when the server is in busy state, the explicit analytical expressions for time dependent probabilities are derived using Laplace transform and generating function technique.