Impact of Bernoulli and non-Bernoulli working vacation schedule on single server Markovian queue with disaster

Abstract

We discussed SSMQM (Single Server Markovian Queueing Model) with disaster. In Bernoulli trial, vacation period for working, after work the server either wait for the next service with probability p (or) go for a vacation with probability q. By letting the disaster to happen in busy state, time dependent probabilities of the model under Bernoulli and Non-Bernoulli are investigated under Laplace transform techniques and recurrence relation for generating function at power series.