• DocumentCode
    2618147
  • Title

    Matrix product-form solutions with application to queueing theory

  • Author

    Sengupta, Bhaskar ; Yeung, Raymond W.

  • Author_Institution
    C&C Res. Lab., NEC USA, Princeton, NJ, USA
  • fYear
    1994
  • fDate
    27 Jun-1 Jul 1994
  • Firstpage
    373
  • Abstract
    We study a discrete time bivariate Markov chain {(Xξ, Nξ), ξ⩾0} in which the values of Xξ are represented by the nodes of a d-ary tree, and N ξ takes integer values between 1 and m. When d equals 1, our results reduce to the theory of matrix-geometric solutions developed by Neuts (1981)
  • Keywords
    Markov processes; discrete time systems; matrix multiplication; queueing theory; trees (mathematics); d-ary tree; discrete time bivariate Markov chain; matrix product-form solutions; matrix-geometric solutions; nodes; queueing theory; Algebra; National electric code; Queueing analysis; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
  • Conference_Location
    Trondheim
  • Print_ISBN
    0-7803-2015-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1994.394645
  • Filename
    394645
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2618147