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 …

Facilitating numerical solutions of inhomogeneous continuous time Markov chains using ergodicity bounds obtained with logarithmic norm method

A Zeifman, Y Satin, I Kovalev, R Razumchik, V Korolev - Mathematics, 2020 - mdpi.com
The problem considered is the computation of the (limiting) time-dependent performance
characteristics of one-dimensional continuous-time Markov chains with discrete state space …

[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) …

[HTML][HTML] Continuous-time block-monotone Markov chains and their block-augmented truncations

H Masuyama - Linear algebra and its applications, 2017 - Elsevier
This paper considers continuous-time block-monotone Markov chains (BMMCs) and their
block-augmented truncations. We first introduce the block monotonicity and block-wise …

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 …

On a class of birth-death processes with time-varying intensity functions

V Giorno, AG Nobile - Applied Mathematics and Computation, 2020 - Elsevier
In this paper, we investigate on a class of time-inhomogeneous birth-death chains obtained
by applying the composition method to two time-inhomogeneous double-ended chains …

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 …

Modeling and analyzing licensed shared access operation for 5G network as an inhomogeneous queue with catastrophes

I Gudkova, A Korotysheva, A Zeifman… - … Congress on Ultra …, 2016 - ieeexplore.ieee.org
The framework of licensed shared access (LSA) to spectrum seems to become one of the
trends of 5G wireless networks. The framework assumes the simultaneous access to …