IDEAS home Printed from https://ideas.repec.org/a/hin/jnljps/851738.html
   My bibliography  Save this article

New Approach for Finding Basic Performance Measures of Single Server Queue

Author

Listed:
  • Siew Khew Koh
  • Ah Hin Pooi
  • Yi Fei Tan

Abstract

Consider the single server queue in which the system capacity is infinite and the customers are served on a first come, first served basis. Suppose the probability density function and the cumulative distribution function of the interarrival time are such that the rate tends to a constant as , and the rate computed from the distribution of the service time tends to another constant. When the queue is in a stationary state, we derive a set of equations for the probabilities of the queue length and the states of the arrival and service processes. Solving the equations, we obtain approximate results for the stationary probabilities which can be used to obtain the stationary queue length distribution and waiting time distribution of a customer who arrives when the queue is in the stationary state.

Suggested Citation

  • Siew Khew Koh & Ah Hin Pooi & Yi Fei Tan, 2014. "New Approach for Finding Basic Performance Measures of Single Server Queue," Journal of Probability and Statistics, Hindawi, vol. 2014, pages 1-11, October.
    • Handle: RePEc:hin:jnljps:851738
    DOI: 10.1155/2014/851738
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JPS/2014/851738.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JPS/2014/851738.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/851738?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
    ---><---

    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:jnljps:851738. 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.