IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v41y1994i2p153-169.html
   My bibliography  Save this article

On the behavior of the batch arrival queue Mx/M/1 during a busy period

Author

Listed:
  • Wolfgang Stadje

Abstract

The queue size process (t)0≤t≤t0 of the batch arrival queue MX/M/1 is studied under the condition that the duration of its busy period is larger than t0. Explicit formulas for the transition probabilities are given and the limiting Markov process for t0 → ∞ is investigated. Several properties of this process are considered. Its transition probabilities and moments and the distribution of its minimum are derived and a functional limit theorem for the rescaled process is proved. © 1994 John Wiley & Sons, Inc.

Suggested Citation

  • Wolfgang Stadje, 1994. "On the behavior of the batch arrival queue Mx/M/1 during a busy period," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(2), pages 153-169, March.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:2:p:153-169
    DOI: 10.1002/1520-6750(199403)41:23.0.CO;2-U
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199403)41:23.0.CO;2-U
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199403)41:23.0.CO;2-U?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
    ---><---

    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:wly:navres:v:41:y:1994:i:2:p:153-169. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.