IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v19y1985i1p85-99.html
   My bibliography  Save this article

The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence

Author

Listed:
  • Thorisson, Hermann

Abstract

We study the classical single server queue and establish finite geometric moments and [phi] moments of the cycle variables. Here [phi](x) = xn[phi]0(x) where n is integer and [phi]0 is concave. More generally, we consider systems with different initial conditions and prove moment and stochastic domination results for the delay variables. This, together with the general results of [5], yields ergodic results for the time and customer dependent processes.

Suggested Citation

  • Thorisson, Hermann, 1985. "The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence," Stochastic Processes and their Applications, Elsevier, vol. 19(1), pages 85-99, February.
    • Handle: RePEc:eee:spapps:v:19:y:1985:i:1:p:85-99
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(85)90041-9
    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. L. Dai, 1999. "Effective Bandwidths and Performance Bounds in High-Speed Communication Systems," Journal of Optimization Theory and Applications, Springer, vol. 100(3), pages 549-574, March.
    2. Alexander Veretennikov, 2023. "On Positive Recurrence of the M n / GI /1/ ∞ Model," Mathematics, MDPI, vol. 11(21), pages 1-18, 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:eee:spapps:v:19:y:1985:i:1:p:85-99. 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.