Large deviations of the waiting time in the GI/G/1 queue with random order service

Large deviations of the waiting time in the GI/G/1 queue with random order service

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Article ID: iaor20134242
Volume: 74
Issue: 4
Start Page Number: 431
End Page Number: 443
Publication Date: Aug 2013
Journal: Queueing Systems
Authors: ,
Keywords: GI/G/1 queues
Abstract:

We consider the GI/G/1 queue where customers are served in random order and the service time distribution has a finite exponential moment. We derive the large deviations result for the waiting time distribution by showing that the asymptotic decay rate of the waiting time distribution is the same as that of the busy period distribution.

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