Two approaches to the construction of perturbation bounds for continuous-time Markov chains

A Zeifman, V Korolev, Y Satin - Mathematics, 2020 - mdpi.com
This paper is largely a review. It considers two main methods used to study stability and to
obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Markov …

[PDF][PDF] On three methods for bounding the rate of convergence for some continuous-time Markov chains

A Zeifman, Y Satin, A Kryukova… - … Journal of Applied …, 2020 - intapi.sciendo.com
Consideration is given to three different analytical methods for the computation of upper
bounds for the rate of convergence to the limiting regime of one specific class of (in) …

On probability characteristics for a class of queueing models with impatient customers

Y Satin, A Zeifman, A Sipin, SI Ammar, J Sztrik - Mathematics, 2020 - mdpi.com
In this paper, a class of queueing models with impatient customers is considered. It deals
with the probability characteristics of an individual customer in a non-stationary Markovian …

[PDF][PDF] Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services

A Zeifman, R Razumchik, Y Satin, K Kiseleva… - International Journal of …, 2018 - sciendo.com
In this paper we present a method for the computation of convergence bounds for four
classes of multiserver queueing systems, described by inhomogeneous Markov chains …

Error bounds for last-column-block-augmented truncations of block-structured Markov chains

H Masuyama - Journal of the Operations Research Society of Japan, 2017 - jstage.jst.go.jp
This paper discusses the error estimation of the last-column-block-augmented northwest-
corner truncation (LC-block-augmented truncation, for short) of block-structured Markov …

Truncation bounds for approximations of inhomogeneous continuous-time Markov chains

AI Zeifman, AV Korotysheva, VY Korolev… - Theory of Probability & Its …, 2017 - SIAM
Truncation Bounds for Approximations of Inhomogeneous Continuous-Time Markov Chains
Page 1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. THEORY …

On the rate of convergence and limiting characteristics for a nonstationary queueing model

Y Satin, A Zeifman, A Kryukova - Mathematics, 2019 - mdpi.com
Consideration is given to the nonstationary analogue of M/M/1 queueing model in which the
service happens only in batches of size 2, with the arrival rate λ (t) and the service rate μ (t) …

Two-sided bounds on the rate of convergence for continuous-time finite inhomogeneous Markov chains

AI Zeifman, VY Korolev - Statistics & Probability Letters, 2015 - Elsevier
We suggest an approach to obtain general two-sided bounds on the rate of convergence in
terms of special “weighted” norms related to total variation. Some important classes of …

On limiting characteristics for a non-stationary two-processor heterogeneous system

A Zeifman, Y Satin, K Kiseleva, V Korolev… - Applied Mathematics and …, 2019 - Elsevier
On limiting characteristics for a non-stationary two-processor heterogeneous system -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

On sharp bounds on the rate of convergence for finite continuous-time Markovian queueing models

A Zeifman, A Sipin, V Korolev, G Shilova… - … Aided Systems Theory …, 2018 - Springer
On Sharp Bounds on the Rate of Convergence for Finite Continuous-Time Markovian
Queueing Models | SpringerLink Skip to main content Advertisement SpringerLink Account …