Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Reliabilty of complex systems using F-V algorithm for approximation

  1. Apr 26, 2008 #1
    For a system with minimum cut set (C1,C2,C3),(C4,C5,C6) and (C4,C5,C7), Using the F-V algorithm, calculate the first and second order approximations given P[C1] =P[C1] =
    P[C2] =0.107, P[C3] =0.168,P[C4] =P[C5] =0.0478,P[C6] =0.0921,P[C7] =0.102
    Answers, Ist order= 0.002366919, 2nd order=0.002366017

    Attempt: Ps1= C1 AND C2 AND C3=.107 *.107*.168= .001923432
    Ps2= C4 AND C5 AND C6=.000210433764
    Ps3= C4 AND C5 AND C7=.00023305368
    p[F] IST ORDER = SUM OF Ps=.001923432+.000210433764+.00023305368=.002366919

    Second order approximation.? Please can anybody help me with how to come up with the second order approximation, based on the above. Tried a couple of text books but still lost. Remember all minimum cut sets are in parallel as per block diagram but C6 and C7 are in series.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Threads for Reliabilty complex systems Date
A Probability amplitude May 7, 2017
A Formal axiom systems and the finite/infinite sets Mar 1, 2017
A Uncertainty Propagation of Complex Functions Feb 26, 2017
I What "language" means in Kolmogorov complexity? Jun 10, 2016
A Basic Spectral Analysis proof help Jun 5, 2016