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Informatika i Ee Primeneniya [Informatics and its Applications], 2011, Volume 5, Issue 4, Pages 18–24 (Mi ia167)  

This article is cited in 8 scientific papers (total in 8 papers)

On a class of Markovian queues

Ya. A. Satina, A. I. Zeifmanbac, A. V. Korotyshevaa, S. Ya. Shorginb

a Vologda State Pedagogical University
b Institute for Problems of Informatics of RAS
c Institute of Socio-Economic Development of Territories, Russian Academy of Sciences, Vologda
Full-text PDF (172 kB) Citations (8)
References:
Abstract: The nonstationary continuous-time Markovian queueing models are considered. Arrival and service rates are supposed to be independent on the length of the queue. The bounds of the rate of convergence and stability for some characteristics of such systems are obtained.
Keywords: nonstationary Markovian queues; rate of convergence; stability; bounds.
Document Type: Article
Language: Russian
Citation: Ya. A. Satin, A. I. Zeifman, A. V. Korotysheva, S. Ya. Shorgin, “On a class of Markovian queues”, Inform. Primen., 5:4 (2011), 18–24
Citation in format AMSBIB
\Bibitem{SatZeiKor11}
\by Ya.~A.~Satin, A.~I.~Zeifman, A.~V.~Korotysheva, S.~Ya.~Shorgin
\paper On a class of Markovian queues
\jour Inform. Primen.
\yr 2011
\vol 5
\issue 4
\pages 18--24
\mathnet{http://mi.mathnet.ru/ia167}
Linking options:
  • https://www.mathnet.ru/eng/ia167
  • https://www.mathnet.ru/eng/ia/v5/i4/p18
  • This publication is cited in the following 8 articles:
    1. Zeifman A., Korolev V., Satin Ya., “Two Approaches to the Construction of Perturbation Bounds For Continuous-Time Markov Chains”, Mathematics, 8:2 (2020), 253  crossref  mathscinet  isi  scopus
    2. Zeifman A., Satin Ya., Kiseleva K., Kryukova A., “Applications of Differential Inequalities to Bounding the Rate of Convergence For Continuous-Time Markov Chains”, AIP Conference Proceedings, 2116, eds. Simos T., Tsitouras C., Amer Inst Physics, 2019, 090009  crossref  isi  scopus
    3. Zeifman A., Kiseleva K., Satin Ya., Kryukova A., Korolev V., 2018 10Th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (Icumt 2018): Emerging Technologies For Connected Society, International Conference on Ultra Modern Telecommunications and Control Systems & Workshops, IEEE, 2018  isi
    4. A. I. Zeifman, V. Yu. Korolev, A. V. Korotysheva, S. Ya. Shorgin, “Obschie otsenki ustoichivosti dlya nestatsionarnykh markovskikh tsepei s nepreryvnym vremenem”, Inform. i ee primen., 8:1 (2014), 106–117  mathnet  crossref  elib
    5. Zeifman A., Korolev V., Satin Ya., Korotysheva A., Bening V., “Perturbation Bounds and Truncations For a Class of Markovian Queues”, Queueing Syst., 76:2, SI (2014), 205–221  crossref  mathscinet  zmath  isi  elib
    6. Zeifman A., Satin Ya., Shilova G., Korolev V., Bening V., Shorgin S., “on M-T/M-T/S Type Queue With Group Services”, Proceedings 27Th European Conference on Modelling and Simulation Ecms 2013, eds. Rekdalsbakken W., Bye R., Zhang H., European Council Modelling & Simulation, 2013, 604–609  isi
    7. Ya. A. Satin, A. I. Zeifman, A. V. Korotysheva, “Convergence rate and truncations for one class of Markov queueing systems”, Theory Probab. Appl., 57:3 (2013), 529–539  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    8. A. I. Zeifman, A. V. Korotysheva, Ya. A. Satin, S. Ya. Shorgin, “Otsenki v nul-ergodicheskom sluchae dlya nekotorykh sistem obsluzhivaniya”, Inform. i ee primen., 6:4 (2012), 27–33  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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