Abstract
This paper deals with the analysis of an M/G/1 retrial queueing system with general retrial and setup times. The customers are served under the preemptive resume priority last-come, first-service (LCFS-PR) discipline and only the customer at the head of the orbit queue is allowed to access the server. The necessary and sufficient condition for the system to be stable is investigated. Using the generating functions technique, the joint steady-state distribution of the server states and the number of customers in the orbit are obtained along with some interesting and important performance measures. Finally, some numerical examples to illustrate the effect of system parameters on several performance characteristics are carried out.
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