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Relationship Between Minimal Path Sets and Cut Sets

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1 Author(s)
Locks, Mitchell O. ; Dept. of Administrative Sciences; Oklahoma State Univ; Stillwater, OK 74074 USA.

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.

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Reliability, IEEE Transactions on  (Volume:R-27 ,  Issue: 2 )