Analysis of an M/G/∞ queue with batch arrivals and batch-dedicated servers

Authors:
Refik GüLlü
Affiliations:
Industrial Engineering Department, Middle East Technical University, 06531 Ankara, Turkey
Venue:
Operations Research Letters
Year:
2004

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Abstract

We analyze an M/G/~ queue with batch arrivals, where jobs belonging to a batch have to be processed by the same server. The number of jobs in the system is characterized as a compound Poisson random variable through a scaling of the original arrival and batch size processes.