On the rates of convergence of Erlang's model

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Article ID:	iaor20013008
Country:	United States
Volume:	36
Issue:	4
Start Page Number:	1167
End Page Number:	1184
Publication Date:	Dec 1999
Journal:	Journal of Applied Probability
Authors:	Fricker Christine, Robert Philippe, Tibi Danielle
Keywords:	M/M/c queues

Abstract:

The convergence to equilibrium of the renormalized M/M/N/N queue is analysed. Upper bounds on the distance to equilibrium are obtained and the cut-off property for two regimes of this queue is proved. Simple probabilistic methods, such as coupling techniques and martingales, are used to obtain these results.

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