IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/3298605.html
   My bibliography  Save this article

A Taylor Series Approach for Service-Coupled Queueing Systems with Intermediate Load

Author

Listed:
  • Ekaterina Evdokimova
  • Sabine Wittevrongel
  • Dieter Fiems

Abstract

This paper investigates the performance of a queueing model with multiple finite queues and a single server. Departures from the queues are synchronised or coupled which means that a service completion leads to a departure in every queue and that service is temporarily interrupted whenever any of the queues is empty. We focus on the numerical analysis of this queueing model in a Markovian setting: the arrivals in the different queues constitute Poisson processes and the service times are exponentially distributed. Taking into account the state space explosion problem associated with multidimensional Markov processes, we calculate the terms in the series expansion in the service rate of the stationary distribution of the Markov chain as well as various performance measures when the system is (i) overloaded and (ii) under intermediate load. Our numerical results reveal that, by calculating the series expansions of performance measures around a few service rates, we get accurate estimates of various performance measures once the load is above 40% to 50%.

Suggested Citation

  • Ekaterina Evdokimova & Sabine Wittevrongel & Dieter Fiems, 2017. "A Taylor Series Approach for Service-Coupled Queueing Systems with Intermediate Load," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:3298605
    DOI: 10.1155/2017/3298605
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2017/3298605.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2017/3298605.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/3298605?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. Dieter Fiems, 2024. "Performance of a Synchronisation Station with Abandonment," Mathematics, MDPI, vol. 12(5), pages 1-12, February.
    2. Dieter Fiems & Eline De Cuypere & Koen De Turck & Dieter Claeys, 2020. "Performance Analysis of Hybrid MTS/MTO Systems with Stochastic Demand and Production," Mathematics, MDPI, vol. 8(11), pages 1-16, November.

    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:hin:jnlmpe:3298605. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.