Next article The Solution of Some Queueing ProblemsGeorge G. O’BrienGeorge G. O’Brienhttps://doi.org/10.1137/0102010PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] W. F. Adams, Road traffic considered as a random series, J. Inst. Civil Engrs., (1936), 330–349 Google Scholar[2] H., Ashcroft, The productivity of several machines under the care of one operator, J. Roy. Statist. Soc. Ser. B, 12 (1950), 145–155 0037.36402 Google Scholar[3] G. E. Bell, Operational research into air traffic control, J. Roy. Aeronaut. Soc., (1949), 965–976 CrossrefGoogle Scholar[4] E. G. Bowen and , T. Pearly, Delays in air traffic control, J. Roy. Aeronaut. Soc., (1948), 251–258 CrossrefGoogle Scholar[5] C. D. Crommelin, Delay probability formulae when the holding times are constant, Post Office Electrical Engrs. J., 25 (1932), 41–50 Google Scholar[6] L. C. Edie, Optimization of traffic delays at toll booths, Informal seminar in operations research # 12, Johns Hopkins University, 1954, January Google Scholar[7] William Feller, An Introduction to Probability Theory and Its Applications. Vol. I, John Wiley & Sons Inc., New York, N.Y., 1950, 363–396 MR0038583 Google Scholar[8] Thornton C. Fry, Probability and its engineering uses, D. Van Nostrand Company, New York, 1928, 321–388 Google Scholar[9] F. Garwood, An application of the theory of probability to the operation of vehicular-controlled traffic signals, J. Roy. Soc. Suppl., 7 (1940), 65–80 CrossrefGoogle Scholar[10] David G. Kendall, Some problems in the theory of queues, J. Roy. Statist. Soc. Ser. B., 13 (1951), 151–173; discussion: 173–185 MR0047944 0045.07801 Google Scholar[11] D. V. Lindley, The theory of queues with a single server, Proc. Cambridge Philos Soc., 48 (1952), 277–289 MR0046597 0046.35501 CrossrefISIGoogle Scholar[12] B. O. Marshall, Queueing theory, Informal seminar in operations research #15, Johns Hopkins University, 1953, February Google Scholar[13] E. C. Molina, Application of the theory of probability to telephone-trunking problems, Bell Syst. Tech. J., (1927), 461–494 CrossrefGoogle Scholar[14] T. Pearly, Delays in landing of air traffic, J. Roy. Aeronaut. Soc., (1948), 799–812 Google Scholar[15] W. R., Duvall, W. G., Wright and , H. A. Freeman, Machine interference, two solutions of problem raised by multiple machine units, Mech. Engineering, 58 (1936), 510–514 Google Scholar Next article FiguresRelatedReferencesCited ByDetails Volume 2, Issue 3| 1954Journal of the Society for Industrial and Applied Mathematics133-200 History Submitted:24 February 1954Published online:10 July 2006 InformationCopyright © 1954 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0102010Article page range:pp. 133-142ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics
Read full abstract