IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v47y2000i2p115-127.html
   My bibliography  Save this article

On the busy period of the M/G/1 retrial queue

Author

Listed:
  • J.R. Artalejo
  • M.J Lopez‐Herrero

Abstract

The M/G/1 queue with repeated attempts is considered. A customer who finds the server busy, leaves the service area and joins a pool of unsatisfied customers. Each customer in the pool repeats his demand after a random amount of time until he finds the server free. We focus on the busy period L of the M/G/1$ retrial queue. The structure of the busy period and its analysis in terms of Laplace transforms have been discussed by several authors. However, this solution has serious limitations in practice. For instance, we cannot compute the first moments of L by direct differentiation. This paper complements the existing work and provides a direct method of calculation for the second moment of L. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 115–127, 2000

Suggested Citation

  • J.R. Artalejo & M.J Lopez‐Herrero, 2000. "On the busy period of the M/G/1 retrial queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(2), pages 115-127, March.
    • Handle: RePEc:wly:navres:v:47:y:2000:i:2:p:115-127
    DOI: 10.1002/(SICI)1520-6750(200003)47:23.0.CO;2-C
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(200003)47:23.0.CO;2-C
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(200003)47:23.0.CO;2-C?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
    ---><---

    References listed on IDEAS

    as
    1. J. R. Artalejo & G. I. Falin, 1996. "On the orbit characteristics of the M/G/ 1 retrial queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1147-1161, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. I. Atencia & G. Bouza & P. Moreno, 2008. "An M [X] /G/1 retrial queue with server breakdowns and constant rate of repeated attempts," Annals of Operations Research, Springer, vol. 157(1), pages 225-243, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. A. Gómez‐Corral, 1999. "Stochastic analysis of a single server retrial queue with general retrial times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 561-581, August.

    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:47:y:2000:i:2:p:115-127. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.