IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v49y1994i1p141-158.html
   My bibliography  Save this article

Light traffic approximations in general stationary single-server queues

Author

Listed:
  • Daley, D. J.
  • Rolski, T.

Abstract

This paper complements two previous studies (Daley and Rolski, 1984, 1991) by indicating the extent to which characteristics of a general stationary point process taken as the arrival process of a single-server queue influence light traffic limit theorems for the two essentially distinct schemes of dilation and thinning as routes to the limit. Properties of both the work-load and the waiting-time processes are derived, reflecting respectively the stationary time-sampling frame that may be appropriate for monitoring the system as a whole, and the customer-sampling frame (Palm distributions). Substantially different results can come from these two different views, and when compounded with the different approaches to the light traffic limits, no single light traffic scenario emerges.

Suggested Citation

  • Daley, D. J. & Rolski, T., 1994. "Light traffic approximations in general stationary single-server queues," Stochastic Processes and their Applications, Elsevier, vol. 49(1), pages 141-158, January.
    • Handle: RePEc:eee:spapps:v:49:y:1994:i:1:p:141-158
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(93)00059-O
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Igor Kovalenko, 1997. "Ergodic and light traffic properties of a complex repairable system," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 387-409, October.
    2. Blaszczyszyn, B., 1995. "Factorial moment expansion for stochastic systems," Stochastic Processes and their Applications, Elsevier, vol. 56(2), pages 321-335, April.

    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:eee:spapps:v:49:y:1994:i:1:p:141-158. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.