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Time-dependent analysis of virtual waiting time behaviour in discrete time queues

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  • Wall, A.D.
  • Worthington, D.J.

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  • Wall, A.D. & Worthington, D.J., 2007. "Time-dependent analysis of virtual waiting time behaviour in discrete time queues," European Journal of Operational Research, Elsevier, vol. 178(2), pages 482-499, April.
    • Handle: RePEc:eee:ejores:v:178:y:2007:i:2:p:482-499
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    References listed on IDEAS

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    1. Linda Green & Peter Kolesar, 1991. "The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals," Management Science, INFORMS, vol. 37(1), pages 84-97, January.
    2. Dave Worthington & A Wall, 1999. "Using the discrete time modelling approach to evaluate the time-dependent behaviour of queueing systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(8), pages 777-788, August.
    3. Ward Whitt, 1982. "Approximating a Point Process by a Renewal Process, I: Two Basic Methods," Operations Research, INFORMS, vol. 30(1), pages 125-147, February.
    4. Linda V. Green & Peter J. Kolesar & João Soares, 2001. "Improving the Sipp Approach for Staffing Service Systems That Have Cyclic Demands," Operations Research, INFORMS, vol. 49(4), pages 549-564, August.
    5. Omosigho, S. E. & Worthington, D. J., 1985. "The single server queue with inhomogeneous arrival rate and discrete service time distribution," European Journal of Operational Research, Elsevier, vol. 22(3), pages 397-407, December.
    6. Brahimi, M. & Worthington, D. J., 1991. "The finite capacity multi-server queue with inhomogeneous arrival rate and discrete service time distribution -- and its application to continuous service time problems," European Journal of Operational Research, Elsevier, vol. 50(3), pages 310-324, February.
    7. Otis B. Jennings & Avishai Mandelbaum & William A. Massey & Ward Whitt, 1996. "Server Staffing to Meet Time-Varying Demand," Management Science, INFORMS, vol. 42(10), pages 1383-1394, October.
    8. Allen C. Miller, III & Thomas R. Rice, 1983. "Discrete Approximations of Probability Distributions," Management Science, INFORMS, vol. 29(3), pages 352-362, March.
    9. Linda V. Green & Peter J. Kolesar, 1997. "The Lagged PSA for Estimating Peak Congestion in Multiserver Markovian Queues with Periodic Arrival Rates," Management Science, INFORMS, vol. 43(1), pages 80-87, January.
    10. Omosigho, S. E. & Worthington, D. J., 1988. "An approximation of known accuracy for single server queues with inhomogeneous arrival rate and continuous service time distribution," European Journal of Operational Research, Elsevier, vol. 33(3), pages 304-313, February.
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    Cited by:

    1. J Bowers, 2010. "Waiting list behaviour and the consequences for NHS targets," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 246-254, February.
    2. Schwarz, Justus Arne & Selinka, Gregor & Stolletz, Raik, 2016. "Performance analysis of time-dependent queueing systems: Survey and classification," Omega, Elsevier, vol. 63(C), pages 170-189.
    3. Xi Chen & Dave Worthington, 2017. "Staffing of time-varying queues using a geometric discrete time modelling approach," Annals of Operations Research, Springer, vol. 252(1), pages 63-84, May.
    4. Rodríguez-Sanz, à lvaro & Fernández de Marcos, Alberto & Pérez-Castán, Javier A. & Comendador, Fernando Gómez & Arnaldo Valdés, Rosa & París Loreiro, à ngel, 2021. "Queue behavioural patterns for passengers at airport terminals: A machine learning approach," Journal of Air Transport Management, Elsevier, vol. 90(C).
    5. Defraeye, Mieke & Van Nieuwenhuyse, Inneke, 2016. "Staffing and scheduling under nonstationary demand for service: A literature review," Omega, Elsevier, vol. 58(C), pages 4-25.

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