• DocumentCode
    1065772
  • Title

    Transient M/M/1 queue variance computation using generalized Q functions

  • Author

    Cantrell, P.E. ; Beall, Gary R.

  • Author_Institution
    Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
  • Volume
    36
  • Issue
    6
  • fYear
    1988
  • fDate
    6/1/1988 12:00:00 AM
  • Firstpage
    756
  • Lastpage
    758
  • Abstract
    A generalized Q function representation for the transient M/M/1 queue variance is developed. The expression is highly accurate and computationally efficient, and an upper bound on the error is easily calculated. For a Q function relative error of 2×10-12 using Parl´s method, the relative error of the variance is generally less than 10-9. Average execution time is of the order of 70 ms per point on a VAX 11/750, but faster execution times can be obtained by using larger Q function relative errors
  • Keywords
    errors; queueing theory; Parl´s method; VAX 11/750; generalised Q function; relative error; transient M/M/1 queue variance; Differential quadrature phase shift keying; Digital communication; Error probability; Fading; Nearest neighbor searches; Phase shift keying; Quadrature phase shift keying; Queueing analysis; Transient analysis; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/26.2798
  • Filename
    2798
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1065772