A note on the rate of convergence to equilibrium for Erlang's model in the subcritical case

A note on the rate of convergence to equilibrium for Erlang's model in the subcritical case

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Article ID: iaor2004790
Country: United States
Volume: 37
Issue: 3
Start Page Number: 918
End Page Number: 923
Publication Date: Sep 2000
Journal: Journal of Applied Probability
Authors:
Keywords: markov processes
Abstract:

We derive some asymptotic results for the rate of convergence to equilibrium for the number of busy servers in an M/M/N/N queue with input rate λN and service rate 1 for N → ∞ in the ‘subcritical’ case λ ∈ ]0, 1[. The results improve recent contributions of Fricker, Robert and Tibi.

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