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Avtomatika i Telemekhanika, 2024, Issue 1, Pages 64–82
DOI: https://doi.org/10.31857/S0005231024010056 (Mi at16355) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Stochastic Systems

Transient behavior of a two-phase queuing system with a limitation on the total queue size

V. M. Vishnevsky, K. A. Vytovtov, E. A. Barabanova

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
Full-text PDF (521 kB) First page Citations (3)
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DOI: https://doi.org/10.31857/S0005231024010056
Abstract: The transient mode of a two-phase queuing system with a Poisson input flow, exponential distribution of service time in each phase, and a limitation on the total buffer size of the two phases is considered. Nonstationary probabilities of system states are found using the Laplace transform. A numerical calculation and analysis of the system performance characteristics in transient mode with parameters corresponding to new-generation optical networks were carried out.
Keywords: two-phase queuing system, transient mode, Laplace transform.
Funding agency Grant number
Russian Science Foundation 23-29-00795
Presented by the member of Editorial Board: B. M. Miller

Received: 16.04.2023
Revised: 15.11.2023
Accepted: 21.12.2023
English version:
Automation and Remote Control, 2024, Volume 85, Issue 1, Pages 46–59
DOI: https://doi.org/10.1134/S0005117924010077
Document Type: Article
Language: Russian
Citation: V. M. Vishnevsky, K. A. Vytovtov, E. A. Barabanova, “Transient behavior of a two-phase queuing system with a limitation on the total queue size”, Avtomat. i Telemekh., 2024, no. 1, 64–82; Autom. Remote Control, 85:1 (2024), 46–59
Citation in format AMSBIB
\Bibitem{VisVytBar24}
\by V.~M.~Vishnevsky, K.~A.~Vytovtov, E.~A.~Barabanova
\paper Transient behavior of a two-phase queuing system with a limitation on the total queue size
\jour Avtomat. i Telemekh.
\yr 2024
\issue 1
\pages 64--82
\mathnet{http://mi.mathnet.ru/at16355}
\crossref{https://doi.org/10.31857/S0005231024010056}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 1
\pages 46--59
\crossref{https://doi.org/10.1134/S0005117924010077}
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  • https://www.mathnet.ru/eng/at/y2024/i1/p64
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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