25 citations · 25 across the 3 of their papers we have counts for
9 papers
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 $…
Bounds on the Rate of Convergence for Queueing Models
Alexander Zeifman, Yacov Satin, Alexander Sipin
We apply the method of differential inequalities for the computation of upper bounds for the rate of convergence to the limiting regime for one specific class of (in)homogeneous co…
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…
Ergodicity and Perturbation Bounds for Queue with Balking, Catastrophes, Server Failures and Repairs
Alexander Zeifman, Yacov Satin, Ivan Kovalev +1
In this paper, we display methods for the computation of convergence and perturbation bounds for system with balking, catastrophes, server failures and repairs. Based o…
Two approaches to the construction of perturbation bounds for continuous-time Markov chains
Alexander Zeifman, Victor Korolev, Yacov Satin
The paper is largely of a review nature. It considers two main methods used to study stability and obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Mar…
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…