Heavy traffic analysis for continuous polling models

Heavy traffic analysis for continuous polling models

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Article ID: iaor1999431
Country: United Kingdom
Volume: 34
Issue: 3
Start Page Number: 720
End Page Number: 732
Publication Date: Sep 1997
Journal: Journal of Applied Probability
Authors:
Abstract:

We consider a continuous polling system in heavy traffic. Using the relationship between such systems and age-dependent branching processes, we show that the steady-state number of waiting customers in heavy traffic has approximately a gamma distribution. Moreover, given their total number, the configuration of these customers is approximately deterministic.

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