IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v51y2003i2p272-280.html
   My bibliography  Save this article

Efficiency of Time Segmentation Parallel Simulation of Finite Markovian Queueing Networks

Author

Listed:
  • Sigrún Andradóttir

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

  • Mehdi Hosseini-Nasab

    (AT&T Laboratories, 200 Laurel Avenue, D5-3D15, Middletown, New Jersey 07748)

Abstract

We present an approach for using parallel processors to simulate long sample paths of Markovian queueing networks with finite buffers and both loss and blocking stations. Parallelism is achieved by distributing the available processors among segments of the time domain of the simulation. We conduct the simulation in such a way that all sample paths of the system will eventually couple (i.e., become identical), regardless of their starting states. This coupling property is exploited to generate valid sample paths of the system by combining the information collected on consecutive time segments of the simulation. The efficiency of our approach depends heavily on the magnitude of the coupling times of the sample paths. We study how the expected coupling times depend on the system parameters through a variety of theoretical and numerical results. Our main results give conditions under which the expected coupling times grow slowly (no faster than linearly) with respect to the number of stations and buffer capacities in the system. These results suggest that our time segmentation approach is likely to perform well on a substantial class of finite Markovian queueing networks.

Suggested Citation

  • Sigrún Andradóttir & Mehdi Hosseini-Nasab, 2003. "Efficiency of Time Segmentation Parallel Simulation of Finite Markovian Queueing Networks," Operations Research, INFORMS, vol. 51(2), pages 272-280, April.
    • Handle: RePEc:inm:oropre:v:51:y:2003:i:2:p:272-280
    DOI: 10.1287/opre.51.2.272.12778
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.51.2.272.12778
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.51.2.272.12778?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. Andradottir, Sigrun & Hosseini-Nasab, Mehdi, 2004. "Parallel simulation of transfer lines by time segmentation," European Journal of Operational Research, Elsevier, vol. 159(2), pages 449-469, December.

    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:51:y:2003:i:2:p:272-280. 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.