Existence of a Limit Distribution in Queueing Systems with Bounded Sojourn Time

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Previous article Next article Existence of a Limit Distribution in Queueing Systems with Bounded Sojourn TimeL. G. Afanas’evaL. G. Afanas’evahttps://doi.org/10.1137/1110066PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] I. N. Kovalenko, Investigation of a many-server queueing system with bounded time of remaining in the system, Ukrain. Mat. Ž. 12 (1960), 471–476; erratum, 13 (1960), 239–, (In Russian.) MR0131905 Google Scholar[2] Felix Pollaczek, Sur une théorie unifiée des problèmes stochastiques soulevés par l'encombrement d'un faisceau parfait de lignes téléphoniques, C. R. Acad. Sci. Paris, 254 (1962), 3965–3967 MR0150851 0129.31005 Google Scholar[3] I. N. Kovalenko, Some queueing problems with restrictions, Theory Prob. Applications, (1961), 204–208, (English translation.) 10.1137/1106026 0285.60082 LinkGoogle Scholar[4] B. V. Gnedenko, Lectures on Queueing Theory, Kiev, 1960, (In Russian.) Google Scholar[5] J. Kiefer and , J. Wolfowitz, On the theory of queues with many servers, Trans. Amer. Math. Soc., 78 (1955), 1–18 MR0066587 0064.13303 CrossrefGoogle Scholar[6] D. V. Lindley, The theory of queues with a single server, Proc. Cambridge Philos Soc., 48 (1952), 277–289 MR0046597 0046.35501 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Лариса Григорьевна Афанасьева (некролог)25 October 2022 | Теория вероятностей и ее применения, Vol. 67, No. 4 Cross Ref Rejection rules in theM/G/1 queueQueueing Systems, Vol. 19, No. 1-2 Cross Ref On queues with impatience1 July 2016 | Advances in Applied Probability, Vol. 22, No. 03 Cross Ref On queues with impatience1 July 2016 | Advances in Applied Probability, Vol. 22, No. 3 Cross Ref The GI/G/1 queue with uniformly limited virtual waiting times; the finite dam1 July 2016 | Advances in Applied Probability, Vol. 12, No. 02 Cross Ref The GI/G /1 queue with uniformly limited virtual waiting times; the finite dam1 July 2016 | Advances in Applied Probability, Vol. 12, No. 2 Cross Ref Conditions for Convergence to Limit Processes and the Strong Law of Large Numbers for Queueing SystemsI. Akhmarov and N. P. Leont’eva28 July 2006 | Theory of Probability & Its Applications, Vol. 21, No. 3AbstractPDF (1101 KB)Ergodic Properties of Queueing Systems with Bounded Sojourn TimeL. G. Afanas’eva and A. V. Martynov17 July 2006 | Theory of Probability & Its Applications, Vol. 14, No. 1AbstractPDF (918 KB)On Ergodic Properties of Queues with ConstraintsL. G. Afanas’eva and A. V. Martynov17 July 2006 | Theory of Probability & Its Applications, Vol. 12, No. 1AbstractPDF (705 KB) Volume 10, Issue 3| 1965Theory of Probability & Its Applications History Submitted:17 September 1964Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1110066Article page range:pp. 515-522ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics