Relationship Between Minimal Path Sets and Cut Sets
- 1 June 1978
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. R-27 (2) , 106-152
- https://doi.org/10.1109/tr.1978.5220269
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
This publication has 3 references indexed in Scilit:
- Inverting and Minimalizing Path Sets and Cut SetsIEEE Transactions on Reliability, 1978
- Determination of Tie Sets and Cut Sets for a System Without FeedbackIEEE Transactions on Reliability, 1977
- The Maximum Error in System Reliability Calculations by Using a Subset of the Minimal StatesIEEE Transactions on Reliability, 1971