IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v20y1972i2p406-420.html
   My bibliography  Save this article

Multilevel Bulk Service Queues

Author

Listed:
  • Emil Bahary

    (Western Electric Company, Princeton, New Jersey)

  • Peter Kolesar

    (Columbia University, New York, New York)

Abstract

This paper uses the imbedded-Markov-chain method to study bulk service queuing systems in which the server chooses the capacity and service mechanism depending on the number of customers waiting in line at the start of the service. It derives conditions under which the systems studied are ergodic and obtains the stationary state probability generating functions. A bilevel hysteretic bulk service system is studied in detail using numerical methods. A concept of system “scale” is introduced that permits the calculation of operating characteristics of large systems from those of small systems. This property is important because the computations for large systems are much more difficult, if not impossible, to perform. The characteristics studied are the expectation and variance of the queue size, the proportion of time each service level is used, and the transition rate between service levels.

Suggested Citation

  • Emil Bahary & Peter Kolesar, 1972. "Multilevel Bulk Service Queues," Operations Research, INFORMS, vol. 20(2), pages 406-420, April.
    • Handle: RePEc:inm:oropre:v:20:y:1972:i:2:p:406-420
    DOI: 10.1287/opre.20.2.406
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.20.2.406
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.20.2.406?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. Fátima Ferreira & António Pacheco & Helena Ribeiro, 2017. "Moments of losses during busy-periods of regular and nonpreemptive oscillating $$M^X/G/1/n$$ M X / G / 1 / n systems," Annals of Operations Research, Springer, vol. 252(1), pages 191-211, May.
    2. António Pacheco & Helena Ribeiro, 2008. "Consecutive customer losses in oscillating GI X /M//n systems with state dependent services rates," Annals of Operations Research, Springer, vol. 162(1), pages 143-158, September.
    3. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.

    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:20:y:1972:i:2:p:406-420. 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.