3 papers
math.PR2019
On Obtaining Sharp Bounds of the Rate of Convergence for a Class of Continuous-Time Markov Chains
A. I. Zeifman, Y. A. Satin, K. M. Kiseleva
We study inhomogeneous continuous-time weakly ergodic Markov chains with a finite state space. We introduce the notion of a Markov chain with the regular structure of an infinitesi…
math.PR2018
On the Rate of Convergence for a Characteristic of Multidimensional Birth-Death Process
A. I. Zeifman, Y. A. Satin, K. M. Kiseleva +1
We consider a multidimensional inhomogeneous birth-death process (BDP) and obtain bounds on the rate of convergence for the corresponding one-dimensional processes.
math.PR2018
On limiting characteristics for a non-stationary two-processor heterogeneous system
A. Zeifman, Y. Satin, K. Kiseleva +2
In this paper we study a non-stationary Markovian queueing model of a two-processor heterogeneous system with time-varying arrival and service rates. We obtain the bounds on the ra…