An M[X]/G/1 Priority Retrial Queue With Feedback And Working Breakdowns

Abstract

In this paper, we analyze the batch arrival of preemptive priority with feedback retrial queueing system with disaster under working breakdown and balking. The system consists of a main server and a substitute server and disasters only occur while the main server is in operation. The occurrence of disasters forces all customers to leave the system and causes the main server to fail. At a failure moment, the major server is sent to be fixed and the server functions at a lower speed during the repair period. Using the supplementary variable technique (SVT), the steady state probability generating functions (PGF) for the system and some system performance measures are discussed.