The $M/G /\infty $ Queue

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Previous article Next article The $M/G /\infty $ QueueG. F. NewellG. F. Newellhttps://doi.org/10.1137/0114007PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] John Riordan, Telephone traffic time averages, Bell System Tech. J., 30 (1951), 1129–1144 MR0045338 CrossrefISIGoogle Scholar[2] V. E. Beneš, Fluctuations of telephone traffic, Bell System Tech. J., 36 (1957), 965–973 CrossrefISIGoogle Scholar[3] N. M. Mirasol, The output of an $M/G/\infty$ queueing system is Poisson, Operations Res., 11 (1963), 282–284 0114.09401 CrossrefISIGoogle Scholar[4] Paul J. Burke, The output of a queuing system, Operations Res., 4 (1956), 699–704 (1957) MR0083416 CrossrefISIGoogle Scholar[5] Edgar Reich, Waiting times when queues are in tandem, Ann. Math. Statist., 28 (1957), 768–773 MR0093060 0085.34705 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Pseudo Steady-State Period in Non-Stationary Infinite-Server Queue with State Dependent Arrival Intensity28 July 2022 | Mathematics, Vol. 10, No. 15 Cross Ref Pricing and Optimization in Shared Vehicle Systems: An Approximation FrameworkOperations Research, Vol. 70, No. 3 Cross Ref Modelling V2V message generation rates in a highway environment Cross Ref Infinite-server queueing models of demand in healthcare: A review of applications and ideas for further work31 May 2019 | Journal of the Operational Research Society, Vol. 71, No. 8 Cross Ref Infinite Server Queueing-Inventory Models20 December 2019 | Journal of the Indian Society for Probability and Statistics, Vol. 21, No. 1 Cross Ref Analytical Models for the Scalability of Dynamic Group-key Agreement Protocols and Secure File Sharing SystemsACM Transactions on Privacy and Security, Vol. 22, No. 4 Cross Ref Statistical inference for M/G/Infinity queueing systems under incomplete observationsEuropean Journal of Operational Research, Vol. 279, No. 3 Cross Ref Optimizing MDS Coded Caching in Wireless Networks With Device-to-Device CommunicationIEEE Transactions on Wireless Communications, Vol. 18, No. 1 Cross Ref Flexible and Reliable UAV-Assisted Backhaul Operation in 5G mmWave Cellular NetworksIEEE Journal on Selected Areas in Communications, Vol. 36, No. 11 Cross Ref Planning of parking enforcement patrol considering drivers’ parking payment behaviorTransportation Research Part B: Methodological, Vol. 106 Cross Ref Performance Modeling of Vehicular Floating Content in Urban Settings Cross Ref Performance analysis of time-dependent queueing systems: Survey and classificationOmega, Vol. 63 Cross Ref Complex magnetic phase diagram and skyrmion lifetime in an ultrathin film from atomistic simulations21 January 2016 | Physical Review B, Vol. 93, No. 2 Cross Ref A Markov Chain Model for Contagion5 November 2014 | Risks, Vol. 2, No. 4 Cross Ref Single-Stage Service Level and Tardiness Model20 June 2013 Cross Ref A Risk Model with Delayed Claims1 March 2016 | Journal of Applied Probability, Vol. 50, No. 03 Cross Ref A Risk Model with Delayed Claims30 January 2018 | Journal of Applied Probability, Vol. 50, No. 3 Cross Ref Thinning, Entropy, and the Law of Thin NumbersIEEE Transactions on Information Theory, Vol. 56, No. 9 Cross Ref The Pht/Pht/∞ Queueing System: Part I—The Single NodeINFORMS Journal on Computing, Vol. 16, No. 3 Cross Ref Networks of infinite-server queues with nonstationary Poisson inputQueueing Systems, Vol. 13, No. 1-3 Cross Ref Queueing output processes1 July 2016 | Advances in Applied Probability, Vol. 8, No. 02 Cross Ref Queueing output processes1 July 2016 | Advances in Applied Probability, Vol. 8, No. 2 Cross Ref Random Flow in Queueing Networks: A Review and Critique9 July 2007 | A I I E Transactions, Vol. 7, No. 3 Cross Ref Random Flow in Queueing Networks: A Review and Critique16 July 2007 | A I I E Transactions, Vol. 8, No. 1 Cross Ref Notes on Queueing Output Processes Cross Ref Queueing theoryJournal of Soviet Mathematics, Vol. 2, No. 1 Cross Ref Volume 14, Issue 1| 1966SIAM Journal on Applied Mathematics History Submitted:15 April 1965Published online:13 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0114007Article page range:pp. 86-88ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics