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Informatika i Ee Primeneniya [Informatics and its Applications], 2011, Volume 5, Issue 3, Pages 27–33 (Mi ia155)  

This article is cited in 7 scientific papers (total in 7 papers)

Stability bounds for some queueing systems with catastrophes

A. I. Zeifmanabc, A. V. Korotyshevab, T. L. Panfilovab, S. Ya. Shorgina

a Institute for Problems of Informatics RAS
b Vologda State Pedagogical University
c Institute of Socio-Economic Development of Territories, Russian Academy of Sciences
Full-text PDF (209 kB) Citations (7)
References:
Abstract: Continuous-time Markovian queueing models with catastrophes are considered. The bounds of stability for some characteristics of such systems are obtained. Also, a queueing example is considered.
Keywords: nonstationary queues; Markovian models with catastrophes; stability bounds; approximations for limiting characteristics.
Document Type: Article
Language: Russian
Citation: A. I. Zeifman, A. V. Korotysheva, T. L. Panfilova, S. Ya. Shorgin, “Stability bounds for some queueing systems with catastrophes”, Inform. Primen., 5:3 (2011), 27–33
Citation in format AMSBIB
\Bibitem{ZeiKorPan11}
\by A.~I.~Zeifman, A.~V.~Korotysheva, T.~L.~Panfilova, S.~Ya.~Shorgin
\paper Stability bounds for some queueing systems with catastrophes
\jour Inform. Primen.
\yr 2011
\vol 5
\issue 3
\pages 27--33
\mathnet{http://mi.mathnet.ru/ia155}
Linking options:
  • https://www.mathnet.ru/eng/ia155
  • https://www.mathnet.ru/eng/ia/v5/i3/p27
  • This publication is cited in the following 7 articles:
    1. Ammar I Sh. Zeifman A. Satin Ya. Kiseleva K. Korolev V., “On Limiting Characteristics For a Non-Stationary Two-Processor Heterogeneous System With Catastrophes, Server Failures and Repairs”, J. Ind. Manag. Optim., 17:3 (2021), 1057–1068  crossref  mathscinet  zmath  isi  scopus
    2. 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
    3. Sinitcina A. Satin Ya. Zeifman A. Shilova G. Sipin A. Kiseleva K. Panfilova T. Kryukova A. Gudkova I. Fokicheva E., “On the Bounds For a Two-Dimensional Birth-Death Process With Catastrophes”, Mathematics, 6:5 (2018), 80  crossref  isi  scopus
    4. Zeifman A. Korotysheva A. Satin Ya. Kiseleva K. Korolev V. Shorgin S., “Bounds For Markovian Queues With Possible Catastrophes”, Proceedings of the 31st European Conference on Modelling and Simulation (ECMS 2017), ed. Paprika Z. Horak P. Varadi K. Zwierczyk P. VidovicsDancs A. Radics J., European Council Modelling & Simulation, 2017, 628+  isi
    5. 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
    6. 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
    7. Ya. A. Satin, A. I. Zeifman, A. V. Korotysheva, S. Ya. Shorgin, “Ob odnom klasse markovskikh sistem obsluzhivaniya”, Inform. i ee primen., 5:4 (2011), 18–24  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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