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math.PR2016
Bounds on the rate of convergence for inhomogeneous systems with either state-dependent transitions, or batch arrivals and service, or both
Alexander Zeifman, Anna Korotysheva, Yacov Satin +3
In this paper one presents method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains. Specifically…
math.PR2016
Ergodicity and uniform in time truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin
Alexander Zeifman, Anna Korotysheva, Yacov Satin +3
In this paper one presents the extension of the transient analysis of the class of continuous-time birth and death processes defined on non-negative integers with special transitio…
math.PR2014
On the limiting characteristics for an inhomogeneous queue with catastrophes
Alexander Zeifman, Anna Korotysheva, Victor Korolev
We study weak ergodicity, bounds on the rate of convergence, and problems of computing of the limiting characteristics for an inhomogeneous queueing model with possible…