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Previous article Next article Ergodic Properties of Queueing Systems with Bounded Sojourn TimeL. G. Afanas’eva and A. V. MartynovL. G. Afanas’eva and A. V. Martynovhttps://doi.org/10.1137/1114009PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. M. Loynes, The stability of a queue with non-independent interarrival and service times, Proc. Cambridge Philos. Soc., 58 (1962), 497–520 MR0141170 0203.22303 CrossrefGoogle Scholar[2] J. L. Doob, Stochastic processes, John Wiley & Sons Inc., New York, 1953viii+654 MR0058896 0053.26802 Google Scholar[3] L. G. Afanas'eva, Existence of a limit distribution in queueing systems with bounded sojourn time, Theory Prob. Applications, 10 (1965), 515–522 10.1137/1110066 LinkGoogle Scholar[4] J. Kiefer and , J. Wolfowitz, On the theory of queues, J. Roy. Statist. Soc., B13 (1951), Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Fault-Tolerant Fuzzy Control for Semi-Markov Jump Nonlinear Systems Subject to Incomplete SMK and Actuator FailuresIEEE Transactions on Fuzzy Systems, Vol. 29, No. 10 Cross Ref Semi-Markov Jump Linear Systems With Incomplete Sojourn and Transition Information: Analysis and SynthesisIEEE Transactions on Automatic Control, Vol. 65, No. 1 Cross Ref Multichannel Queueing Systems with Regenerative Input FlowL. G. Afanasyeva and A. V. Tkachenko3 June 2014 | Theory of Probability & Its Applications, Vol. 58, No. 2AbstractPDF (258 KB)Ergodic Theorems and Stability for Walks in a Strip and their ApplicationA. A. Borovkov17 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 4AbstractPDF (814 KB) Volume 14, Issue 1| 1969Theory of Probability & Its Applications History Submitted:29 March 1967Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1114009Article page range:pp. 105-114ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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