• DocumentCode
    1320345
  • Title

    Equivalence of Redundant Systems With Respect to Time to Failure

  • Author

    Muth, Eginhard J.

  • Author_Institution
    Department of Industrial and Systems Engineering, University of Florida, Gainesville, Fla. 32601.
  • Issue
    4
  • fYear
    1973
  • Firstpage
    238
  • Lastpage
    239
  • Abstract
    The time to failure of an m out of n component system, with component failure times exponentially and identically distributed, is treated. This failure time is shown to be identically distributed to the failure time of an n - m + 1 component standby system, with component failure times exponentially but not identically distributed. The proof of this result is based on a recursion formula for the distribution of time to system failure.
  • Keywords
    Biographies; Convolution; Distribution functions; Hazards; Random variables; Reliability engineering; Reliability theory;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1973.5215897
  • Filename
    5215897