3 papers
math.PR2021
Upper bound on the rate of convergence and truncation bound for nonhomogeneous birth and death processes on
Yacov Satin, Rostislav Razumchik, Alexander Zeifman +1
We consider the well-known problem of the computation of the (limiting) time-dependent performance characteristics of one-dimensional continuous-time birth and death processes on $…
math.PR2020
Ergodicity Bounds for the Markovian Queue With Time-Varying Transition Intensities, Batch Arrivals and One Queue Skipping Policy
A. Zeifman, R. Razumchik, Y. Satin +1
In this paper we revisit the Markovian queueing system with a single server, infinite capacity queue and the special queue skipping policy. Customers arrive in batches, but are ser…
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…