Browsing by Author "Pikkala, Vijaya L."

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    Performance Dynamics of Batch Arrival Feedback Queue With General Second Optional Services, Server Breakdown and Standby Server
    (AIMS, 2026) Pikkala, Vijaya L.; Kisakali, Justin; Gilaka, Anjalidevi; Qrewi, Hasan A.
    This paper aims to analyze the steady state behavior of a bulk input general service queue with second optional service, breakdowns, general repair, and delay times. The server may experience random failures during the first essential and second optional services, and we assume there is a delay be- fore the server starts the repair process. The system is equipped with a standby server, which provides service to the customers only when the main server is under repair due to sudden failure or during the delay time for repair to start. Moreover, the service times first essential service and second optional service, delay times, and repair times have a general distribution, while the breakdown times and standby service times follow an exponential distribution. The steady state probabilities are computed using the probability generating function. Fi- nally, numerical illustrations of performance measures are provided