A. Yu. Veretennikov, “On convergence rate for Erlang–Sevastyanov type models with infinitely many servers. In memory and to the 90th anniversary of A.D. Solovyev (06.09.1927–06.04.2001)”, Theory Stoch. Process., 2017, Volume 22(38), Issue 1,Pages <nobr>89

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On convergence rate for Erlang–Sevastyanov type models with infinitely many servers. In memory and to the 90th anniversary of A.D. Solovyev (06.09.1927–06.04.2001)

A. Yu. Veretennikov^abc

^a University of Leeds, UK
^b Institute for Information Transmission Problems, Moscow, Russian Federation
^c National Research University Higher School of Economics, Moscow, Russian Federation

Abstract: Polynomial convergence rate to stationarity is shown for extended Erlang–Sevastyanov's model with variable intensities of service and arrivals.

Keywords: Erlang-Sevastyanov systems; Ergodicity; Lyapunov functions; Coupling; Convergence rates.

MSC: 60-02; 60K25, 90B22

Language: English