A Combinatorial Method in the Theory of Queues

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Previous article Next article A Combinatorial Method in the Theory of QueuesLajos TakácsLajos Takácshttps://doi.org/10.1137/0110053PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. Aeppli, Masters Thesis, Zur Theorie verketteter Wahrscheinlichkeiten, Thèse, Zürich, 1924 Google Scholar[2] D. André, Solution directe du problème rèsolu par M. Bertrand, C. R. Acad. Sci. Paris, 105 (1887), 436–437 Google Scholar[3] É. Barbier, Généralisation du problème rèsolu par M. J. Bertrand, C. R. Acad. Sci. Paris, 105 (1887), 407– Google Scholar[4] J. Bertrand, Solution d'un problème, C. R. Acad. Sci. Paris, 105 (1887), 369– Google Scholar[5] Émile Borel, Sur l'emploi du théorème de Bernoulli pour faciliter le calcul d'une infinité de coefficients. Application au problème de l'attente à un guichet, C. R. Acad. Sci. Paris, 214 (1942), 452–456 MR0008126 0026.33002 Google Scholar[6] Lajos Takács, The probability law of the busy period for two types of queuing processes, Operations Res., 9 (1961), 402–407 MR0125658 0111.33102 CrossrefISIGoogle Scholar[7] Lajos Takács, A generalization of the ballot problem and its application in the theory of queues, J. Amer. Statist. Assoc., 57 (1962), 327–337 MR0138139 0109.36702 ISIGoogle Scholar[8] Lajos Takács, Introduction to the theory of queues, University Texts in the Mathematical Sciences, Oxford University Press, New York, 1962x+268 MR0133880 0106.33502 Google Scholar[9] J. C. Tanner, A problem of interference between two queues, Biometrika, 40 (1953), 58–69 MR0055622 0053.40705 CrossrefISIGoogle Scholar[10] J. C. Tanner, A derivation of the Borel distribution, Biometrika, 48 (1961), 222–224 MR0125648 0139.35101 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 10, Issue 4| 1962Journal of the Society for Industrial and Applied Mathematics History Submitted:31 January 1962Published online:13 July 2006 InformationCopyright © 1962 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0110053Article page range:pp. 691-694ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics

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