IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v20y1972i5p955-966.html
   My bibliography  Save this article

A Statistical Technique for the Control of Traffic Intensity in the Queuing Systems M / G /1 and GI / M /1

Author

Listed:
  • U. Narayan Bhat

    (Southern Methodist University, Dallas, Texas)

  • S. Subba Rao

    (Case Western Reserve University, Cleveland, Ohio)

Abstract

This paper presents a statistical technique for the control of the traffic intensity in single-server queuing systems with (i) Poisson arrivals and general service times and (ii) recurrent arrivals and exponential service times. The procedure is such that the system is readjusted only if the number of customers in the system either falls and stays beyond the upper control limit longer than a preassigned number of consecutive transitions or falls and stays below the lower control limit longer than a preassigned number of consecutive transitions. Methods are given to derive these two pairs of control limits using available transition probability tables, and tables of control limits have been provided for a selected number of parameter values in the queue with Poisson arrivals and general service times.

Suggested Citation

  • U. Narayan Bhat & S. Subba Rao, 1972. "A Statistical Technique for the Control of Traffic Intensity in the Queuing Systems M / G /1 and GI / M /1," Operations Research, INFORMS, vol. 20(5), pages 955-966, October.
    • Handle: RePEc:inm:oropre:v:20:y:1972:i:5:p:955-966
    DOI: 10.1287/opre.20.5.955
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.20.5.955
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.20.5.955?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. Nan Chen & Yuan Yuan & Shiyu Zhou, 2011. "Performance analysis of queue length monitoring of M/G/1 systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(8), pages 782-794, December.
    2. Santos Marta & Morais Manuel Cabral & Pacheco António, 2018. "Comparing Short-Memory Charts to Monitor the Traffic Intensity of Single Server Queues," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 1-21, June.
    3. Tianhua Zhang & Juliang Zhang & Fu Zhao & Yihong Ru & John W. Sutherland, 2020. "Allocating resources for a restaurant that serves regular and group-buying customers," Electronic Commerce Research, Springer, vol. 20(4), pages 883-913, December.
    4. Lotfi Tadj & Gautam Choudhury, 2005. "Optimal design and control of queues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(2), pages 359-412, December.
    5. Santos Marta & Morais Manuel Cabral & Pacheco António, 2019. "Comparing Short and Long-Memory Charts to Monitor the Traffic Intensity of Single Server Queues," Stochastics and Quality Control, De Gruyter, vol. 34(1), pages 9-18, June.
    6. Mandjes, M. & Ravner, L., 2021. "Hypothesis testing for a Lévy-driven storage system by Poisson sampling," Stochastic Processes and their Applications, Elsevier, vol. 133(C), pages 41-73.

    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:5:p:955-966. 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.