Strong approximations of irreducible closed queueing networks

Strong approximations of irreducible closed queueing networks

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Article ID: iaor1998965
Country: United Kingdom
Volume: 29
Issue: 2
Start Page Number: 498
End Page Number: 522
Publication Date: Jun 1997
Journal: Advances in Applied Probability
Authors:
Keywords: queueing networks, Brownian motion
Abstract:

A sequence of irreducible closed queueing networks is considered in this paper. We obtain that the queue length processes can be approximated by reflected Brownian motions. Using these approximations, we get rates of convergence of the distributions of queue lengths.

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