IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v40y1993i6p811-827.html
   My bibliography  Save this article

A multiserver queue with markovian arrivals and group services with thresholds

Author

Listed:
  • S. Chakravarthy
  • Attahiru Sule Alfa

Abstract

We consider a multiserver queueing system in which arrivals are governed by a Markovian arrival process. The system is attended by K identical exponential servers. Under a dynamic probabilistic service rule which depends on two threshold parameters, this model is studied as a Markov process. The steady‐state probability vector is shown to be of (modified) matrix‐geometric type. Efficient algorithmic procedures for the computation of the steady‐state probability vector and some key performance measures of the system are developed. Some numerical examples are discussed. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • S. Chakravarthy & Attahiru Sule Alfa, 1993. "A multiserver queue with markovian arrivals and group services with thresholds," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(6), pages 811-827, October.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:6:p:811-827
    DOI: 10.1002/1520-6750(199310)40:63.0.CO;2-R
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199310)40:63.0.CO;2-R
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199310)40:63.0.CO;2-R?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. Marcel F. Neuts & R. Nadarajan, 1982. "A Multiserver Queue with Thresholds for the Acceptance of Customers into Service," Operations Research, INFORMS, vol. 30(5), pages 948-960, October.
    2. Powell, Warren B. & Simão, Hugo P., 1986. "Numerical simulation of transient bulk queues with general vehicle dispatching strategies," Transportation Research Part B: Methodological, Elsevier, vol. 20(6), pages 477-490, 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. Sergei Dudin & Olga Dudina, 2023. "Analysis of a Multi-Server Queue with Group Service and Service Time Dependent on the Size of a Group as a Model of a Delivery System," Mathematics, MDPI, vol. 11(22), pages 1-20, November.

    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. 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.
    2. Warren B. Powell, 1987. "Waiting‐time distributions for bulk arrival, bulk service queues with vehicle‐holding and cancellation strategies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(2), pages 207-227, April.
    3. Schwarz, Justus Arne & Selinka, Gregor & Stolletz, Raik, 2016. "Performance analysis of time-dependent queueing systems: Survey and classification," Omega, Elsevier, vol. 63(C), pages 170-189.

    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:40:y:1993:i:6:p:811-827. 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.