• DocumentCode
    2014242
  • Title

    Maximum algebra of random variables with its applications in discrete event systems

  • Author

    Zheng, Yingwen

  • Author_Institution
    Inst. of Autom., Fuzhou Univ., China
  • Volume
    3
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    2427
  • Abstract
    A maximum algebra of random variables, which can be used to analyse the manufacturing processes in discrete event stochastic dynamic systems, is presented. A kind of series-parallel production line systems in which the work durations of all tasks are random variables with exponential distributions is discussed. By means of the maximum algebra of random variables the statistical characteristics of total manufacturing time are obtained in order to estimate its production performance. An example is given for confirming the validity of the method by comparing it with the result of simulation.
  • Keywords
    algebra; discrete event systems; production control; random processes; statistical analysis; discrete event system; manufacturing processes; maximum algebra; production control; random variables; series-parallel production line; statistical analysis; stochastic systems; Algebra; Discrete event systems; Exponential distribution; Intelligent control; Manufacturing automation; Manufacturing processes; Production systems; Random variables; Stochastic systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on
  • Print_ISBN
    0-7803-7268-9
  • Type

    conf

  • DOI
    10.1109/WCICA.2002.1021527
  • Filename
    1021527