Abstract

This paper studies a queueing system with Poisson input and exponential service times wherein two types of service are rendered to the incoming units. The first is common to all the incoming units and is a must, whereas there is an alternative to the second type of service which is provided in groups of fixed sizes. The average waiting time in the queue, the marginal and average queue lengths and the steady state probability generating functions are obtained. Lastly, some particular cases are also derived therefrom.

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