Analysis of a two phase queueing system with general service times

Authors:
Bharat Doshi
Affiliations:
HO 3M-335, AT&T Bell Laboratories, Holmdel, NJ 07733, USA
Venue:
Operations Research Letters
Year:
1991

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Abstract

We derive the transforms of the queue length at departure epochs, queue length in steady state and sojourn time of an arbitrary customer for a queueing system in which each customer receives two services: The first service is part of a batch service and the second given individually to the members of a batch. Our results generalize the recent work of Krishna and Lee in this journal.