A priority queueing system with service interruptions

This paper studies a queueing system in which a mechanical service channel serves the units one by one on a priority basis and is subject to occasional breakdowns. During the period for which the mechanical service channel remains under repairs, the service is provided to only the units of priority class by a manually operated service channel. Laplace transforms of the probability generating functions of the queue length have been obtained and the corresponding results for the steady state have been derived. Finally a particular case has been discussed.