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An Efficient Bottom-up Algorithm for Enumerating Minimal Cut Sets of Fault Trees

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2 Author(s)
Nakashima, K. ; Department of Electronics; Himeji Institute of Technology; 2167, Shosha, Himeji-shi; Himeji, 671-22 JAPAN. ; Hattori, Yoshio

The paper improves the conventional bottom-up algorithm for enumerating minimal cut sets of fault tree. It is proved that, when the logical product of two reduced sum-of-product forms is expanded by the distribution rule, one need only check if each resulting term is absorbed by some terms of two original sum-of-product forms. The algorithm for executing this process is presented and illustrated by an example. The entire computer program is given in a supplement and the computational results for several examples are presented to demonstrate the efficiency of the algorithm.

Published in:

Reliability, IEEE Transactions on  (Volume:R-28 ,  Issue: 5 )

Date of Publication:

Dec. 1979

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