A Generalisation of Queuing with Breakdowns

Abstract

In this paper, a queuing model has been considered in which the service facility is attending to units from a finite population as well as to the units from another independent infinite population. The units from the finite population has "Preemptive resume priority"discipline over the units from the infinite population. The queue length distribution and the stochastic law of busy periods have been obtained by employing some finite discrete transforms. Various interesting particular cases of this model have also been discussed.