IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v23y1975i4p750-760.html
   My bibliography  Save this article

The Output of an M / D /1 Queue

Author

Listed:
  • Charles D. Pack

    (Bell Laboratories, Holmdel, New Jersey)

Abstract

In this paper we investigate the output process of the M / D /1 queuing system. We derive expressions for the distributions and first two moments, in both steady-state and transient conditions, of the following random variables: (1) the time until the n th departure measured from a departure epoch, T 0 , (2) the time between the n − 1st and n th departures after T 0 , and (3) the number of departures in ( T 0 , T 0 + t ]. Further we study the autocorrelation functions of random variables (1) and (2) in the steady state.

Suggested Citation

  • Charles D. Pack, 1975. "The Output of an M / D /1 Queue," Operations Research, INFORMS, vol. 23(4), pages 750-760, August.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:4:p:750-760
    DOI: 10.1287/opre.23.4.750
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.23.4.750
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.23.4.750?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Blanc, J.P.C., 2002. "Computation of autocorrelations of interdeparture times by numerical transform inversion," Other publications TiSEM 361aba37-59b5-449a-885c-c, Tilburg University, School of Economics and Management.
    2. Christos Zacharias & Mor Armony, 2017. "Joint Panel Sizing and Appointment Scheduling in Outpatient Care," Management Science, INFORMS, vol. 63(11), pages 3978-3997, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:23:y:1975:i:4:p:750-760. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.