共通の故障率と修復率をもつ順序依存形故障論理の定量化 : 解析解の導出とFTAへの適用について

概要

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New international safety standards, ISO 12100 and International Electrotechnical Commission (IEC) 61508, are based on the concept of risk reduction to an acceptable level. The standards require increasing our capacities for risk management. Fault tree analysis (FTA) is a well-known and widely acceped method for risk analyses. Sequential failure logic (SFL) is essential for the application of FTA to risk analyses of, for example, space satellite systems and safety-related systems for product liability prevention. Algorithm for quantification of SFL has been proposed in the form of multiple integration. The present paper proposes analytical solutions of the multiple integration, given that basic events are characterized with common failure and repair rates. This makes it possible to estimate analysically the probability that an output from a minimal-cut priority-AND structure is in a failed state at time t and the statistically expected number of failures of the output per unit time at time t. Moreover, it is demonstrated how to analyze fault trees with SFL in order to estimate the statistically expected number of occurrences of the top event by use of the algorithms.
一般社団法人日本機械学会の論文
2000-09-25