A Series Approach for the Transient Solution of a Non-Empty Markovian Queue with Catastrophes

In this paper, a series approach is used to obtain a new formula for the transient probabilities of a non-empty single Markovian queue model with catastrophes at the service unite. In most cases the approaches used to solve this model are complicated by the fact that they often involve integration of Bessel functions even for the simplest cases of this model. An alternative, explicit new formula is developed which isolates the steady- state component for all values of traffic intensities and which turns out to be computationally superior.