• DocumentCode
    847043
  • Title

    Pade approximation for stochastic discrete-event systems

  • Author

    Gong, Wei-Bo ; Nananukul, Soracha ; Yan, Anlu

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
  • Volume
    40
  • Issue
    8
  • fYear
    1995
  • fDate
    8/1/1995 12:00:00 AM
  • Firstpage
    1349
  • Lastpage
    1358
  • Abstract
    We show that Pade approximation can be effectively used for approximation of performance functions in discrete-event systems. The method is (1) obtaining the MacLaurin coefficients of the performance function and (2) finding a Pade approximant from the MacLaurin coefficients and use it to approximate the function. We use the method with the expected number of renewals in a random interval, GI/G/1 systems, and inventory systems. The results are very good
  • Keywords
    discrete event systems; function approximation; stochastic systems; GI/G/1 systems; MacLaurin coefficients; Pade approximation; inventory systems; random interval; stochastic discrete-event systems; Closed-form solution; Convergence; Convolution; Discrete event systems; Helium; History; Military computing; Physics; Probability density function; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.402227
  • Filename
    402227