On the finite-buffer bulk-service queue with general independent arrivals: GI/M[b]/1/N

On the finite-buffer bulk-service queue with general independent arrivals: GI/M[b]/1/N

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Article ID: iaor20052382
Country: Netherlands
Volume: 25
Issue: 5
Start Page Number: 241
End Page Number: 245
Publication Date: Dec 1999
Journal: Operations Research Letters
Authors: ,
Keywords: bulk queues, GI/M/1 queues
Abstract:

We consider a single server finite-buffer bulk-service queue in which the interarrival and service times are arbitrarily and exponentially distributed, respectively. The service is performed in batches of maximum size b The distributions of number of customers in the queue at pre-arrival and arbitrary epochs have been obtained. In addition, analysis of waiting time in the queue is also carried out.

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