An M/G/1 Reneging Queueing System with Second Optional Service and with Second Optional Vacation
نویسندگان
چکیده
We study an M/G/1 queueing system where the arrival follows Poisson Process. The server provides service in two stages, the first stage service is essential and the second stage of service is optional. If the system is empty then the server goes for a vacation of random duration and after returning from vacation the server decides to take a second vacation which is optional. When the server is on vacation the customer may decide to renege. We treat reneging in this paper when the server is on vacation as the service is unavailable. Using supplementary variable technique we derive the probability generating function for the number of customers in the system. Some performance measures are derived. A Particular case is discussed. Numerical study is also presented. Mathematics Subject Classification: 60K25, 60K30
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