Relationship Between Minimal Path Sets and Cut Sets
Mitchell O. Locks · IEEE Transactions on Reliability · 1978
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.