• DocumentCode
    1894356
  • Title

    An optimal importance sampling method for a transient Markov system

  • Author

    Qi, Hongui ; Wei, Michael ; Lei Wei

  • Author_Institution
    Sch. of Electr., Comput. & Telecommun. Eng., Wollongong Univ., NSW, Australia
  • Volume
    2
  • fYear
    2001
  • fDate
    25-29 Nov. 2001
  • Firstpage
    1152
  • Abstract
    In this paper an optimal importance sampling (IS) method is derived for a transient Markov system. Several propositions are presented. It is shown that the optimal IS method is unique, and it must converge to the standard Monte Carlo (MC) simulation method when the sample path length approaches infinity. Therefore, it is not the size of the state space of the Markov system, but the sample path length, that limits the efficiency of the IS method. Numerical results are presented to support the argument.
  • Keywords
    Markov processes; Monte Carlo methods; importance sampling; optimisation; Monte Carlo simulation; optimal importance sampling; sample path length; transient Markov system; Analytical models; Australia; Computational modeling; Computer networks; Error probability; H infinity control; Monte Carlo methods; Performance analysis; State-space methods; Telecommunication computing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Global Telecommunications Conference, 2001. GLOBECOM '01. IEEE
  • Conference_Location
    San Antonio, TX, USA
  • Print_ISBN
    0-7803-7206-9
  • Type

    conf

  • DOI
    10.1109/GLOCOM.2001.965662
  • Filename
    965662