Abstract
We establish sufficient conditions for polynomial rate of convergence to a stationary distribution and of beta-mixing in continuous-time Erlang-type systems. Our results are a natural complement both to results of Erlang himself, dating back to the beginning of the 20th century, and to exponential estimates established later.
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Original Russian Text © A.Yu. Veretennikov, 2010, published in Problemy Peredachi Informatsii, 2010, Vol. 46, No. 4, pp. 122–129.
Supported in part by the Russian Foundation for Basic Research, project no. 08-01-00105.
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Veretennikov, A.Y. On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems. Probl Inf Transm 46, 382–389 (2010). https://doi.org/10.1134/S0032946010040083
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DOI: https://doi.org/10.1134/S0032946010040083