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Avtomatika i Telemekhanika, 2022, Issue 8, Pages 65–80
DOI: https://doi.org/10.31857/S0005231022080049 (Mi at15856) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Stochastic Systems

Analytical investigation of a single-channel QS with incoming asynchronous event flow

A. M. Gortsev, L. A. Nezhelskaya

Tomsk State University, Tomsk, 634050 Russia
Full-text PDF (213 kB) First page Citations (3)
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DOI: https://doi.org/10.31857/S0005231022080049
Abstract: We consider a single-channel queuing system with an incoming asynchronous double-stochastic two-state request flow (MMPP-flow — Markovian Modulated Poisson Process). We give explicit analytical formulas for the steady-state probability distribution of the system states as well as explicit analytical expressions for the following numerical characteristics of the system: the average queue length, the average number of requests in the system, and the probability of system downtime. We give numerical results, presented in the form of tables, for the characteristics of the system. We consider a special case of an incoming request flow — an asynchronous alternating two-state flow (SPP-flow — Switched Poisson Process).
Keywords: asynchronous request flow (MMPP-flow), single-channel queuing system (QS), steady-state probability distribution of system states, numerical characteristics.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 29.11.2021
Revised: 28.03.2022
Accepted: 28.04.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 8, Pages 1200–1212
DOI: https://doi.org/10.1134/S0005117922080045
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Gortsev, L. A. Nezhelskaya, “Analytical investigation of a single-channel QS with incoming asynchronous event flow”, Avtomat. i Telemekh., 2022, no. 8, 65–80; Autom. Remote Control, 83:8 (2022), 1200–1212
Citation in format AMSBIB
\Bibitem{GorNez22}
\by A.~M.~Gortsev, L.~A.~Nezhelskaya
\paper Analytical investigation of a single-channel QS with incoming asynchronous event flow
\jour Avtomat. i Telemekh.
\yr 2022
\issue 8
\pages 65--80
\mathnet{http://mi.mathnet.ru/at15856}
\crossref{https://doi.org/10.31857/S0005231022080049}
\edn{https://elibrary.ru/AGTWDG}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 8
\pages 1200--1212
\crossref{https://doi.org/10.1134/S0005117922080045}
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  • https://www.mathnet.ru/eng/at/y2022/i8/p65
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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