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A Single Server Bernoulli Vacation Queue with Two Phase of Essential Services and an Optional Service and with Restricted Admissibility

R. Kalyanaraman, V. Suvitha


A single server queue with Bernoulli vacation has been considered. In addition the admission to queue is based on a Bernoulli process and also the server give two phase of essential services and an optional service. For this model the probability generating functions of number of customers in the queue for different server states are obtained using supplementary variable technique. Some performance measures are calculated. Particular models are deduced. Some numerical study are presented and a conclusion is also given.


Bernoulli vacation, Bernoulli process, restricted admissibility, supplementary variable technique, performance measures.

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