IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v2y1954i2p139-149.html
   My bibliography  Save this article

The Influence of Servicing Times in Queuing Processes

Author

Listed:
  • Donald P. Gaver

    (Operations Evaluation Group Massachusetts Institute of Technology)

Abstract

A relation between the distribution of customer-servicing times and that of customer-waiting times is derived for the case of a single-channel queue with random arrivals and the rule of “first come, first served” establishing the order of service. The queue is assumed to be in a state of statistical equilibrium. The relation holds for a large class of the servicing-time distributions that occur in practice, in particular the cases of constant, exponential, and Type III Pearson servicing times. The derivation takes into account changes in the magnitude of demand from customer to customer, changes that may exist in many of the situations in which the theory is likely to be applied. Using the theory, the characteristics of the waiting-time distributions associated with several specific types of servicing-time distributions are discussed. It is shown that if it is possible to make the right sort of alterations in servicing-time distributions considerable reduction in customer waiting times can be made. The analytical results are illustrated with graphs. Operations Research , ISSN 0030-364X, was published as Journal of the Operations Research Society of America from 1952 to 1955 under ISSN 0096-3984.

Suggested Citation

  • Donald P. Gaver, 1954. "The Influence of Servicing Times in Queuing Processes," Operations Research, INFORMS, vol. 2(2), pages 139-149, May.
  • Handle: RePEc:inm:oropre:v:2:y:1954:i:2:p:139-149
    DOI: 10.1287/opre.2.2.139
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.2.2.139
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.2.2.139?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. K. Murari, 1972. "A queueing problem with correlated arrivals and correlated phase-type service zur theorie des rangtests," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 18(1), pages 110-119, December.
    2. Ascione, Giacomo & Leonenko, Nikolai & Pirozzi, Enrica, 2020. "Fractional Erlang queues," Stochastic Processes and their Applications, Elsevier, vol. 130(6), pages 3249-3276.

    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:2:y:1954:i:2:p:139-149. 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.