Some Results on a Batch Arrival Poisson Queue with a General Setup Time

Document Type : Original Article

Author

Mathematical Science Division,Institute of Advanced Study in Science and Technology, India

Abstract

We consider a single server queue with Poisson arrival of customers in batches of random size and a general setup time, where the service of the first customer in each busy period is preceded by a random setup time, on completion of which service begins. We are concerned with the steady state distributions of the additional queue size, additional delay and the queue waiting time distribution.
 

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