• DocumentCode
    1343132
  • Title

    Relationship Between Minimal Path Sets and Cut Sets

  • Author

    Locks, Mitchell O.

  • Author_Institution
    Dept. of Administrative Sciences; Oklahoma State Univ; Stillwater, OK 74074 USA.
  • Issue
    2
  • fYear
    1978
  • fDate
    6/1/1978 12:00:00 AM
  • Firstpage
    106
  • Lastpage
    152
  • Abstract
    I do not see the purpose of the ``R-cut sets´´, because they are not a complete description of the set of failure states. By contrast, the list of cut sets is a minimalized form representing all possible failure conditions for the system. If the component unreliabilities are substituted into the IE-generated polynomial, an exact expression for the system unreliability is obtained. If this were done from the list of R-cut sets, there would be an error because the system unreliability would be underestimated.
  • Keywords
    Application software; Boolean algebra; Computer science; Feedback; Hardware; Monte Carlo methods; Polynomials; Reliability theory; Senior members; Statistics; Boolean polynomial; Minimal cut; Minimal path; Network; Quine minimization; R-cut set;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1978.5220269
  • Filename
    5220269