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

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

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Article ID: iaor20051172
Country: Netherlands
Volume: 32
Issue: 5
Start Page Number: 431
End Page Number: 438
Publication Date: Sep 2004
Journal: Operations Research Letters
Authors:
Keywords: M/G/infinity queues
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.

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