An M/PH/k retrial queue with finite number of sources

摘要

We study retrial queues with a finite source of customers and identical multiple servers in parallel. Service time requirements in such systems are not of exponential type, yet most of the models assume this service distribution. In this paper, we allow the service times to assume phase type distribution and present two different types of Markov chains based on state space arrangements, for modelling the system. We discuss the special features of the two formulations, show how to obtain some key performance measures and present numerical examples.