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

Authors:
P.Vijaya Laxmi;U. C. Gupta
Affiliations:
Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, India;Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, India
Venue:
Operations Research Letters
Year:
1999

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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.