• DocumentCode
    1435603
  • Title

    Transient in a single-server queuing system

  • Author

    Chan, W.C. ; Chung, W.K.

  • Author_Institution
    University of Calgary, Department of Electrical Engineering, Calgary, Canada
  • Volume
    120
  • Issue
    7
  • fYear
    1973
  • fDate
    7/1/1973 12:00:00 AM
  • Firstpage
    733
  • Lastpage
    738
  • Abstract
    The paper presents a new approach, using the stochastic transition signal-flow graph, for the study of transient in a single-server queuing system with Poisson input, first-come first-served queue discipline. A complete solution is obtained for the state probabilities of the system. Furthermore, the probabilities of waiting and loss, as well as the waiting-time distribution, are determined. The system considered is subject to delay and loss, since the waiting capacity is finite.
  • Keywords
    probability; queueing theory; transients; finite waiting capacity; single server queuing system; state probabilities; stochastic transition signal flow graph; transient; waiting time distribution;
  • fLanguage
    English
  • Journal_Title
    Electrical Engineers, Proceedings of the Institution of
  • Publisher
    iet
  • ISSN
    0020-3270
  • Type

    jour

  • DOI
    10.1049/piee.1973.0160
  • Filename
    5251998