IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v37y1990i3p365-381.html
   My bibliography  Save this article

Multiple finite source queueing model with dynamic priority scheduling

Author

Listed:
  • Phadhana Tosirisuk
  • Jeya Chandra

Abstract

This article involves the study of a multiple finite source queueing model with a single server and dynamic, nonpreemptive priority service discipline. The input to the queue is comprised of customers from multiple finite sources. The time which the customers spend at the corresponding sources are exponentially distributed. The service times of the customers can follow exponential, Erlang, or hyperexponential probability density function, with the same mean regardless of the class. Using an extension of mean value analysis, a recursive algorithm is developed to obtain approximate values of the mean waiting time in queues for each priority class. The mean number of waiting customers and the server utilization of each priority class can be obtained using the result of this recursive algorithm and Little's formula. Numerical examples are presented to illustrate the methodology. The algorithm developed in this article is validated using simulation.

Suggested Citation

  • Phadhana Tosirisuk & Jeya Chandra, 1990. "Multiple finite source queueing model with dynamic priority scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 365-381, June.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:3:p:365-381
    DOI: 10.1002/nav.3800370303
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800370303
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800370303?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. J. M. Holtzman, 1971. "Bounds for a Dynamic-Priority Queue," Operations Research, INFORMS, vol. 19(2), pages 461-468, April.
    2. James R. Jackson, 1961. "Queues with Dynamic Priority Discipline," Management Science, INFORMS, vol. 8(1), pages 18-34, October.
    3. James R. Jackson, 1962. "Waiting‐time distributions for queues with dynamic priorities," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(1), pages 31-36, March.
    4. James R. Jackson, 1960. "Some problems in queueing with dynamic priorities," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(3), pages 235-249, September.
    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. Haque, Lani & Armstrong, Michael J., 2007. "A survey of the machine interference problem," European Journal of Operational Research, Elsevier, vol. 179(2), pages 469-482, June.
    2. Seyed M.R. Iravani & Izak Duenyas & Tava Lennon Olsen, 2000. "A Production/Inventory System Subject to Failure with Limited Repair Capacity," Operations Research, INFORMS, vol. 48(6), pages 951-964, December.

    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. Val Andrei Fajardo & Steve Drekic, 2017. "Waiting Time Distributions in the Preemptive Accumulating Priority Queue," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 255-284, March.
    2. Avishai Mandelbaum & Petar Momčilović, 2017. "Personalized queues: the customer view, via a fluid model of serving least-patient first," Queueing Systems: Theory and Applications, Springer, vol. 87(1), pages 23-53, October.
    3. Öner-Közen, Miray & Minner, Stefan, 2017. "Impact of priority sequencing decisions on on-time probability and expected tardiness of orders in make-to-order production systems with external due-dates," European Journal of Operational Research, Elsevier, vol. 263(2), pages 524-539.
    4. S.S. Panwalkar & Christos Koulamas, 2015. "Scheduling research and the first decade of NRLQ: A historical perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(4), pages 335-344, June.
    5. G. M. Koole & B. F. Nielsen & T. B. Nielsen, 2012. "First in Line Waiting Times as a Tool for Analysing Queueing Systems," Operations Research, INFORMS, vol. 60(5), pages 1258-1266, October.
    6. Yichuan Ding & Eric Park & Mahesh Nagarajan & Eric Grafstein, 2019. "Patient Prioritization in Emergency Department Triage Systems: An Empirical Study of the Canadian Triage and Acuity Scale (CTAS)," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 723-741, October.
    7. Chen, Wanying & Wu, Peng & Gong, Yeming & Zhang, Zhengmin & Wang, Kun, 2025. "The role of energy consumption in robotic mobile fulfillment systems: Performance evaluation and operating policies with dynamic priority," Omega, Elsevier, vol. 130(C).

    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:37:y:1990:i:3:p:365-381. 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.