Minimal cut sequences and top event probability of dynamic fault tree
Tetsushi Yuge, 泰司郎 米田, Nobuyuki Tamura, Shigeru Yanagi · Journal of Quality in Maintenance Engineering · 2013
Purpose This paper aims to present a method for calculating the top event probability of a fault tree with priority AND gates. Design/methodology/approach The paper makes use of Merle's temporal operators for obtaining the minimal cut sequence set of a dynamic fault tree. Although Merle's expression is based on the occurrence time of an event sequence, the paper treats the expression as an event containing the order of events. This enables the authors to treat the minimal cut sequence set by using the static fault tree techniques. The proposed method is based on the sum of disjoint products. The method for a static FT is extended to a more applicable one that can deal with the order operators proposed by Merle et al. Findings First, an algorithm to obtain the minimal cut sequence set of dynamic fault trees is proposed. This algorithm enables the authors to analyze reasonably large scale dynamic fault trees. Second, the proposed method of obtaining the top event probability of a dynamic fault tree is efficient compared with an inclusion‐exclusion based method proposed by Merle et al. and a conventional Markov chain approach. Furthermore, the paper shows the top event probability is derived easily when all the basic events have exponential failure rates. Originality/value The methodology presented shows a new solution for calculating the top event probability of dynamic fault trees.