• TWO PHASE RETRIAL QUEUEING SYSTEM WITH IMPATIENT CUSTOMERS, ADDITIONAL OPTIONAL SERVICE, SERVER BREAKDOWN, ELAYED REPAIR AND RESERVED TIME

Abstract

Single server retrial queue with general retrial time is considered. Customers may balk or renege at particular times. The server is subject to breakdowns with repairs. The repair is not immediate and it starts after a random amount of time. While the server is being repaired, the interrupted customer can either remains in the service position or leaves and return by maintaining its rights to the server. The probability generating function is employed to obtain joint distribution of the server state and queue length. The probability of an empty system, availability of the server, failure frequency and the mean number of customers in the retrial queue are derived.