IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v34y1986i4p573-580.html
   My bibliography  Save this article

Uniformization and Hybrid Simulation/Analytic Models of Renewal Processes

Author

Listed:
  • J. George Shanthikumar

    (University of California, Berkeley, California)

Abstract

In this paper we demonstrate the use of uniformization in the simulation of renewal processes. Using uniformization, we represent the continuous random variable of interest as the first passage time of a continuous-time stochastic process associated with a Poisson process. We then use this result to develop a hybrid simulation/analytic method to model renewal processes. The estimators obtained from the hybrid simulation/analytic models have lower variance than the variance of the estimators of the traditional simulation models. We also discuss the possible impact of this method on the future of simulation methodology.

Suggested Citation

  • J. George Shanthikumar, 1986. "Uniformization and Hybrid Simulation/Analytic Models of Renewal Processes," Operations Research, INFORMS, vol. 34(4), pages 573-580, August.
    • Handle: RePEc:inm:oropre:v:34:y:1986:i:4:p:573-580
    DOI: 10.1287/opre.34.4.573
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.34.4.573
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.34.4.573?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. Ira Gerhardt & Barry L. Nelson, 2009. "Transforming Renewal Processes for Simulation of Nonstationary Arrival Processes," INFORMS Journal on Computing, INFORMS, vol. 21(4), pages 630-640, November.

    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:34:y:1986:i:4:p:573-580. 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.