Asymptotic stationarity of queueing processes

Asymptotic stationarity of queueing processes

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Article ID: iaor1999438
Country: United Kingdom
Volume: 34
Issue: 4
Start Page Number: 1041
End Page Number: 1048
Publication Date: Dec 1997
Journal: Journal of Applied Probability
Authors:
Abstract:

We show that if an input process ζ to a queue is asymptotic stationary in some sense, satisfies a condition AB and some other natural conditions, then the output processes (w, ζ) and (w, q, ζ) are asymptotic stationary in the same sense. Here, w and q are the waiting time and queue length processes, respectively.

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