On mixing rate and convegence to stationary regime in discrete time Erlang problem

Authors:
A. Yu. Veretennikov
Affiliations:
School of Mathematics, University of Leeds, Leeds, UK
Venue:
Automation and Remote Control
Year:
2009

Citing 2
Cited 2

Introduction to queueing theory (2nd ed)

Introduction to queueing theory (2nd ed)
Control Techniques for Complex Networks

Control Techniques for Complex Networks

On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems

Problems of Information Transmission
On the rate of convergence for infinite server Erlang---Sevastyanov's problem

Queueing Systems: Theory and Applications

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Abstract

Sufficient conditions for polynomial convergence rate to the stationary regime and beta-mixing for some classes of ergodic discrete time birth-death processes are established.