Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains

Alexander Zeifman, Victor Korolev and Yacov Satin
Additional contact information
Alexander Zeifman: Department of Applied Mathematics, Vologda State University, 160000 Vologda, Russia
Victor Korolev: Institute of Informatics Problems of the Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, 119333 Moscow, Russia
Yacov Satin: Department of Applied Mathematics, Vologda State University, 160000 Vologda, Russia

Mathematics, 2020, vol. 8, issue 2, 1-25

Abstract: 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 chains with continuous time and a finite or countable state space. An approach is described to the construction of perturbation estimates for the main five classes of such chains associated with queuing models. Several specific models are considered for which the limit characteristics and perturbation bounds for admissible “perturbed” processes are calculated.

Keywords: continuous-time Markov chains; non-stationary Markovian queueing model; stability; perturbation bounds; forward Kolmogorov system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/2/253/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/2/253/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:2:p:253-:d:320838

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().