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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2025, Volume 523, Pages 35–43
DOI: https://doi.org/10.31857/S2686954325030072 (Mi danma645) 		 
MATHEMATICS

On one approach to obtaining the boundaries of perturbation of homogeneous Markov processes

A. I. Zeifmanab, I. A. Usova, Ya. A. Satina, A. L. Kryukovaa, V. Yu. Korolevbcd

a Vologda State University, Vologda, Russia
b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
c Moscow Center for Fundamental and Applied Mathematics
d Lomonosov Moscow State University
DOI: https://doi.org/10.31857/S2686954325030072
Abstract: Homogeneous Markov chains with continuous time are considered. A new approach is proposed that makes it possible to obtain accurate estimates of stability for such chains with relation to perturbations of infinitesimal characteristics. The application of the results to stationary queuing systems of several classes, as well as to some non-stationary systems, is considered.
Keywords: queuing systems, bounds of perturbation, forward Kolmogorov system, birth and death processes.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2024-544
Presented: I. A. Sokolov
Received: 15.06.2024
Revised: 30.01.2025
Accepted: 07.05.2025
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: A. I. Zeifman, I. A. Usov, Ya. A. Satin, A. L. Kryukova, V. Yu. Korolev, “On one approach to obtaining the boundaries of perturbation of homogeneous Markov processes”, Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025), 35–43
Citation in format AMSBIB
\Bibitem{ZeiUsoSat25}
\by A.~I.~Zeifman, I.~A.~Usov, Ya.~A.~Satin, A.~L.~Kryukova, V.~Yu.~Korolev
\paper On one approach to obtaining the boundaries of perturbation of homogeneous Markov processes
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2025
\vol 523
\pages 35--43
\mathnet{http://mi.mathnet.ru/danma645}
\elib{https://elibrary.ru/item.asp?id=82708726}
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