• DocumentCode
    3084482
  • Title

    A closed queueing network of counting processes

  • Author

    Yao, D.D. ; Shanthikumar, J.

  • Author_Institution
    Harvard University, Cambridge, MA
  • Volume
    26
  • fYear
    1987
  • fDate
    9-11 Dec. 1987
  • Firstpage
    675
  • Lastpage
    676
  • Abstract
    We study a general closed queueing network, where the service processes are characterized by point processes and their (stochastic) intensities. We show that given any time t, the joint queue-length vector has a probability distribution that is determined, through a system of differential equations (of Kolmogorov type), by the conditional service intensities. Various applications of this result are outlined.
  • Keywords
    Differential equations; Probability distribution; State-space methods; Stochastic systems; Transient analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1987. 26th IEEE Conference on
  • Conference_Location
    Los Angeles, California, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1987.272453
  • Filename
    4049351
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3084482