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Next article Some Limit Theorems in the Theory of Mass Service, II Multiple Channels SystemsA. A. BorovkovA. A. Borovkovhttps://doi.org/10.1137/1110046PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Yu. V. Prokhorov, Convergence of random processes and limit theorems in probability theory, Theor. Prob. Applications, 1 (1956), 157–214, (English translation.) 10.1137/1101016 LinkGoogle Scholar[2] Yu. V. Prokhorov, Transition behavior in queueing processes, Lit. Mat. Sb., III (1963), 199–206, (In Russian.) Google Scholar[3] B. V. Gnedenko and , I. N. Kovalenko, Lectures on Queueing Theory, Kiev, (1963), , (In Russian.) Google Scholar[4] O. V. Viskov, Two asymptotic formulas in the theory of queues, Theor. Prob. Applications, 9 (1964), 158–159, (English translation.) 10.1137/1109025 LinkGoogle Scholar[5] A. A. Borovkov, On discrete service systems, Theor. Prob. 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Applications, 9 (1964), 550–565, (English translation.) 10.1137/1109078 0203.18801 LinkGoogle Scholar Next article FiguresRelatedReferencesCited byDetails SET-VALUED PERFORMANCE APPROXIMATIONS FOR THE QUEUE GIVEN PARTIAL INFORMATION25 September 2020 | Probability in the Engineering and Informational Sciences, Vol. 36, No. 2 Cross Ref Scheduling and Control of Queueing Networks1 October 2021 | , Vol. 2 Cross Ref Tightness and Monotonicity21 September 2021 Cross Ref On the rate of convergence to equilibrium for reflected Brownian motion23 March 2018 | Queueing Systems, Vol. 89, No. 1-2 Cross Ref A broad view of queueing theory through one issue12 April 2018 | Queueing Systems, Vol. 89, No. 1-2 Cross Ref Heavy-Traffic Limit of the GI / GI /1 Stationary Departure Process and Its Variance FunctionStochastic Systems, Vol. 8, No. 2 Cross Ref Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systemsThe Annals of Applied Probability, Vol. 27, No. 1 Cross Ref Stein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C ModelsStochastic Systems, Vol. 6, No. 2 Cross Ref Stochastic Processing NetworksAnnual Review of Statistics and Its Application, Vol. 3, No. 1 Cross Ref DIFFUSION APPROXIMATION FOR STATIONARY ANALYSIS OF QUEUES AND THEIR NETWORKS: A REVIEWJournal of the Operations Research Society of Japan, Vol. 58, No. 1 Cross Ref Coupling method for asymptotic analysis of queues with regenerative input and unreliable server25 July 2013 | Queueing Systems, Vol. 76, No. 2 Cross Ref Multichannel Queueing Systems with Regenerative Input FlowL. 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Borovkov17 July 2006 | Theory of Probability & Its Applications, Vol. 12, No. 2AbstractPDF (2374 KB) Volume 10, Issue 3| 1965Theory of Probability & Its Applications History Submitted:24 December 1964Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1110046Article page range:pp. 375-400ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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