IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v40y1992i3-supplement-2ps217-s228.html
   My bibliography  Save this article

Deducing Queueing from Transactional Data: The Queue Inference Engine, Revisited

Author

Listed:
  • Dimitris J. Bertsimas

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • L. D. Servi

    (GTE Laboratories, Incorporated, Waltham, Massachusetts)

Abstract

R. Larson proposed a method to statistically infer the expected transient queue length during a busy period in O ( n 5 ) solely from the n starting and stopping times of each customer's service during the busy period and assuming the arrival distribution is Poisson. We develop a new O ( n 3 ) algorithm which uses these data to deduce transient queue lengths as well as the waiting times of each customer in the busy period. We also develop an O ( n ) on-line algorithm to dynamically update the current estimates for queue lengths after each departure. Moreover, we generalize our algorithms for the case of a time-varying Poisson process and also for the case of i.i.d. interarrival times with an arbitrary distribution. We report computational results that exhibit the speed and accuracy of our algorithms.

Suggested Citation

  • Dimitris J. Bertsimas & L. D. Servi, 1992. "Deducing Queueing from Transactional Data: The Queue Inference Engine, Revisited," Operations Research, INFORMS, vol. 40(3-supplem), pages 217-228, June.
    • Handle: RePEc:inm:oropre:v:40:y:1992:i:3-supplement-2:p:s217-s228
    DOI: 10.1287/opre.40.3.S217
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.40.3.S217
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.40.3.S217?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. Broyles, James R. & Cochran, Jeffery K. & Montgomery, Douglas C., 2010. "A statistical Markov chain approximation of transient hospital inpatient inventory," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1645-1657, December.
    2. Azam Asanjarani & Yoni Nazarathy & Peter Taylor, 2021. "A survey of parameter and state estimation in queues," Queueing Systems: Theory and Applications, Springer, vol. 97(1), pages 39-80, February.

    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:40:y:1992:i:3-supplement-2:p:s217-s228. 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.