On Stochastic Continuity of Queueing Systems of Type $G|G|1$

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Previous article Next article On Stochastic Continuity of Queueing Systems of Type $G|G|1$V. M. ZolotarevV. M. Zolotarevhttps://doi.org/10.1137/1121032PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Douglas P. Kennedy, The continuity of the single server queue, J. Appl. Probability, 9 (1972), 370–381 MR0341660 0278.60072 CrossrefGoogle Scholar[2] V. M. Zolotarev, On the continuity of stochastic sequences generated by recursive procedures, Theory Prob. Applications, 20 (1975), 819–832 10.1137/1120088 0351.60086 LinkGoogle Scholar[3] V. M. Zolotarev, Qualitative estimates in problems of continuity of queueing systems, Theory Prob. Applications, 20 (1975), 211–213 10.1137/1120027 0335.60069 LinkGoogle Scholar[4] P. Franken, Ein Stetigkeitssatz für Verlustsysteme, Operationsforschung und Math. Stat., 11 (1970), 1–23 0194.20703 Google Scholar[5] B. V. Gnedenko, On some unsolved problems of queueing theory, Sixth Intern. 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Linnik, Independent and stationary sequences of random variables, Wolters-Noordhoff Publishing, Groningen, 1971, 443– MR0322926 0219.60027 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Sensitivity Analysis and Simulation of a Multiserver Queueing System with Mixed Service Time DistributionMathematics, Vol. 8, No. 8 | 3 August 2020 Cross Ref Continuity theorems for the M/M/1/n queueing systemQueueing Systems, Vol. 59, No. 1 | 22 July 2008 Cross Ref Summary of Reports Presented at Sessions of the Seminar on Probability Theory and Mathematical Statistics at the Institute of Mathematics of the Siberian Section of the USSR Academy of Sciences (September–December 1985)Theory of Probability & Its Applications, Vol. 32, No. 1 | 17 July 2006AbstractPDF (420 KB)The Monge–Kantorovich Mass Transference Problem and Its Stochastic ApplicationsTheory of Probability & Its Applications, Vol. 29, No. 4 | 17 July 2006AbstractPDF (2779 KB)Quantitative Estimates of the Continuity of Multi-Channel Queueing SystemsTheory of Probability & Its Applications, Vol. 26, No. 4 | 17 July 2006AbstractPDF (930 KB)Stability Theorems and Estimates of the Rate of Convergence of the Components of Factorizations for Walks Defined on Markov ChainsTheory of Probability & Its Applications, Vol. 25, No. 2 | 17 July 2006AbstractPDF (812 KB)Quantitative estimates for the continuity property of queueing systems of type $G|G|\infty $Theory of Probability & Its Applications, Vol. 22, No. 4 | 17 July 2006AbstractPDF (952 KB)Some Estimates of the Rate of Convergence in Stability TheoremsTheory of Probability & Its Applications, Vol. 22, No. 4 | 17 July 2006AbstractPDF (850 KB)Summary of Reports Presented at Sessions of the Probability and Statistics Seminar in the Leningrad Section of the Mathematical Institute of the USSR Academy of Sciences, 1976Theory of Probability & Its Applications, Vol. 22, No. 3 | 28 July 2006AbstractPDF (1085 KB)Approximation of Distributions of Sums of Independent Random Variables with Values in Infinite-Dimensional SpacesTheory of Probability & Its Applications, Vol. 21, No. 4 | 17 July 2006AbstractPDF (1540 KB) Volume 21, Issue 2| 1977Theory of Probability & Its Applications227-448 History Submitted:11 December 1975Published online:17 July 2006 InformationCopyright © 1977 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1121032Article page range:pp. 250-269ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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