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Problemy Peredachi Informatsii, 2023, Volume 59, Issue 4, Pages 32–37
DOI: https://doi.org/10.31857/S0555292323040046 (Mi ppi2406) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Communication Network Theory

Generalization of formulas for queue length moments under nonordinary Poissonian arrivals for batch queues in telecommunication systems

B. Ya. Lichtzindera, A. Yu. Privalovba

a Povolzhskiy State University of Telecommunications and Informatics
b Samara State Aerospace University
Full-text PDF (116 kB) First page Citations (9)
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DOI: https://doi.org/10.31857/S0555292323040046
Abstract: We propose an approach for generalization of formulas previously obtained by the authors for the first and second queue length moments in a queueing system with a nonordinary Poissonian arrival flow, single server, and constant service time to the case of a variable service time. The service time is assumed to be a random variable with a finite set of values. This model is adequate for a vast class of batch transmission systems, since the batch transmission time in real-world systems can take only finitely many values.
Keywords: queueing system, nonordinary arrival flow, queue length moments, interval method for queue analysis, batch data transmission.

Revised: 03.02.2024
Accepted: 08.02.2024
English version:
Problems of Information Transmission, 2023, Volume 59, Issue 4, Pages 243–248
DOI: https://doi.org/10.1134/S003294602304004X
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.872.6
Language: Russian
Citation: B. Ya. Lichtzinder, A. Yu. Privalov, “Generalization of formulas for queue length moments under nonordinary Poissonian arrivals for batch queues in telecommunication systems”, Probl. Peredachi Inf., 59:4 (2023), 32–37; Problems Inform. Transmission, 59:4 (2023), 243–248
Citation in format AMSBIB
\Bibitem{LikPri23}
\by B.~Ya.~Lichtzinder, A.~Yu.~Privalov
\paper Generalization of formulas for queue length moments under nonordinary Poissonian arrivals for batch queues in telecommunication systems
\jour Probl. Peredachi Inf.
\yr 2023
\vol 59
\issue 4
\pages 32--37
\mathnet{http://mi.mathnet.ru/ppi2406}
\crossref{https://doi.org/10.31857/S0555292323040046}
\edn{https://elibrary.ru/YRRRNC}
\transl
\jour Problems Inform. Transmission
\yr 2023
\vol 59
\issue 4
\pages 243--248
\crossref{https://doi.org/10.1134/S003294602304004X}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Проблемы передачи информации Problems of Information Transmission
     
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