IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v28y1980i3-part-ip618-622.html
   My bibliography  Save this article

Technical Note—A Transient Solution to the Multistage Poisson Queueing System with Infinite Servers

Author

Listed:
  • R. R. P. Jackson

    (Department of Health and Social Security, London, England)

  • P. Aspden

    (Department of Health and Social Security, London, England)

Abstract

This paper gives an alternative method of deriving the time dependent solution of a multistage nonqueueing process, with random arrivals into the first stage of the system, sufficient servers at each stage and exponential service time distributions. In the standard notation, the system is a finite number of M / M /∞ queues in series (tandem). This method has the advantage over previous methods of being able to solve the case when any of the stage average service times are equal. The solution was obtained during a project concerned with developing a mathematical model of Acute Myeloid Leukemia patient progress.

Suggested Citation

  • R. R. P. Jackson & P. Aspden, 1980. "Technical Note—A Transient Solution to the Multistage Poisson Queueing System with Infinite Servers," Operations Research, INFORMS, vol. 28(3-part-i), pages 618-622, June.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:3-part-i:p:618-622
    DOI: 10.1287/opre.28.3.618
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.28.3.618
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.28.3.618?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. Qihui Bu, 2024. "Transient Analysis for a Queuing System with Impatient Customers and Its Applications to the Pricing Strategy of a Video Website," Mathematics, MDPI, vol. 12(13), pages 1-14, June.
    2. Ying Shi & Xin Li & Ping Fan, 2016. "Optimization of an M/M/∞ Queueing System with Free Experience Service," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-17, December.

    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:inm:oropre:v:28:y:1980:i:3-part-i:p:618-622. 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.