A Taxicab Problem with Time-Dependent Arrival Rates

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Previous article Next article A Taxicab Problem with Time-Dependent Arrival RatesSamuel M. GiveenSamuel M. Giveenhttps://doi.org/10.1137/1005031PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] David G. Kendall, Some problems in the theory of queues, J. Roy. Statist. Soc. Ser. B., 13 (1951), 151–173; discussion: 173–185 MR0047944 (13,957a) 0355.65084 Google Scholar[2] J. G. Skellam, The frequency distribution of the difference between two Poisson variates belonging to different populations, J. Roy. Statist. Soc. (N.S.), 109 (1946), 296– MR0020750 (8,592e) 0063.07068 CrossrefISIGoogle Scholar[3] J. M. Dobbie, A double-ended queuing problem of Kendall, Operations Res., 9 (1961), 755–757 CrossrefISIGoogle Scholar[4] T. C. Fry, Probability and its engineering uses, D. Van Nostrand Company, New York, 1928, 232–235 Google Scholar[5] Eugene Jahnke and , Fritz Emde, Tables of Functions with Formulae and Curves, Dover Publications, New York, 1943, 226–233 MR0008332 (4,281j) Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On a many-to-many matched queueing system with flexible matching mechanism and impatient customersJournal of Computational and Applied Mathematics, Vol. 416 | 1 Dec 2022 Cross Ref Equilibrium and socially optimal strategies of a double-sided queueing system with two-mass point matching timeQuality Technology & Quantitative Management, Vol. 2300 | 9 August 2022 Cross Ref Upper bound on the rate of convergence and truncation bound for non-homogeneous birth and death processes on ZApplied Mathematics and Computation, Vol. 423 | 1 Jun 2022 Cross Ref On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processesApplied Mathematics and Computation, Vol. 422 | 1 Jun 2022 Cross Ref Double-ended queues with non-poisson inputs and their effective algorithmsComputers & Operations Research, Vol. 62 | 1 Apr 2022 Cross Ref Optimal pricing and service capacity management for a matching queue problem with loss-averse customersOptimization, Vol. 70, No. 10 | 12 June 2020 Cross Ref Impact of possible random factors on queue behaviors of passengers and taxis at taxi stand of transport hubsPhysica A: Statistical Mechanics and its Applications, Vol. 580 | 1 Oct 2021 Cross Ref Modeling and uncovering the passenger–taxi dynamic queues at taxi station with multiple boarding points using a Markovian environmentPhysica A: Statistical Mechanics and its Applications, Vol. 572 | 1 Jun 2021 Cross Ref On a class of birth-death processes with time-varying intensity functionsApplied Mathematics and Computation, Vol. 379 | 1 Aug 2020 Cross Ref Bell Polynomial Approach for Time-Inhomogeneous Linear Birth–Death Process with ImmigrationMathematics, Vol. 8, No. 7 | 9 July 2020 Cross Ref Equilibrium and Optimization in a Double-Ended Queueing System with Dynamic ControlJournal of Advanced Transportation, Vol. 2019 | 19 Mar 2019 Cross Ref Diffusion approximations for double-ended queues with reneging in heavy trafficQueueing Systems, Vol. 91, No. 1-2 | 6 October 2018 Cross Ref Strategic behavior and social optimization in a double-ended queue with gated policyComputers & Industrial Engineering, Vol. 114 | 1 Dec 2017 Cross Ref Optimization and strategic behavior in a passenger–taxi service systemEuropean Journal of Operational Research, Vol. 249, No. 3 | 1 Mar 2016 Cross Ref Study of a passenger-taxi queueing system with nonzero matching time2015 12th International Conference on Service Systems and Service Management (ICSSSM) | 1 Jun 2015 Cross Ref Double-Sided Batch Queues with Abandonment: Modeling Crossing NetworksOperations Research, Vol. 62, No. 5 | 1 Oct 2014 Cross Ref BIVARIATE EXTENSIONS OF SKELLAM'S DISTRIBUTIONProbability in the Engineering and Informational Sciences, Vol. 28, No. 3 | 17 March 2014 Cross Ref Queueing theoryJournal of Soviet Mathematics, Vol. 2, No. 1 | 1 Jan 1974 Cross Ref Volume 5, Issue 2| 1963SIAM Review113-202 History Submitted:19 February 1962Published online:01 August 2006 InformationCopyright © 1963 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1005031Article page range:pp. 119-127ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics