Generation of Extended Cut Sequence Set for Dynamic Fault Tree

The cut sequence describes the failure mode of the dynamic system, whose dynamic behaviors make the generation of cut sequence set very complicated. This paper brings forward the conception of extended cut sequence, which is incorporated with temporal logic and has more expressive capability than previous similar conceptions. According the type of logic gate, the minimal extended cut sequence set is generated using the basic set manipulation (union, intersection, difference and product). The expression form and generation process based on extended cut sequence are more efficient than that based on traditional cut sequence. As an example, apply this method to a famous hypothetical dynamic system. The system is modeled by dynamic fault tree and the minimal extended cut sequences are generated and analyzed. The result shows that this method can quickly acquire precise minimal extended cut sequence set.

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Dynamic Fault Trees Analysis for Importance Measures Based on Cut Sequence Set Model

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.232.578 ◽

2012 ◽

Vol 232 ◽

pp. 578-582 ◽

Cited By ~ 2

Author(s):

Dong Liu ◽

Xiao Juan Chen ◽

Yi Li ◽

Zhong Wen Zhao ◽

Xin Ming Li

Keyword(s):

State Space ◽

Fault Tree ◽

The State ◽

Time To Failure ◽

Exponential Distributions ◽

Fault Trees ◽

Dynamic Behaviors ◽

State Space Explosion ◽

Dynamic Fault Tree ◽

System Components

Importance Measures (IMs) for dynamic fault tree (DFT) remains widely open, for that Markov-based methodology is limited to exponential distributions as well as the state space explosion. Cut sequence describes the dynamic behaviors among components, and Cut sequence set (CSS) model provides ways to generate and calculate the probabilities of cut sequences, but it does not show how to analysis IMs using CSS model. This paper proposed a novel methodology of IMs in CSS model, including Birnbaum measure (BI), Risk Achievement Worth (RAW) and Structure Importance (SI) and an example demonstrates the superiority of the methodology. In contrast to the Markov-based methodology, the proposed methodology is combinatorial and can handle with any type of time-to-failure distributions for the system components.

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Reliability Analysis of Dynamic Fault Tree Based on Binary Decision Diagrams for Explosive Vehicle

Mathematical Problems in Engineering ◽

10.1155/2021/5559475 ◽

2021 ◽

Vol 2021 ◽

pp. 1-13

Author(s):

Guang-Jun Jiang ◽

Zong-Yuan Li ◽

Guan Qiao ◽

Hong-Xia Chen ◽

Hai-Bin Li ◽

...

Keyword(s):

Markov Model ◽

Logic Gate ◽

Fault Tree ◽

Dynamic Logic ◽

Logic Gates ◽

Transition Process ◽

Modular Approach ◽

Combinational Logic ◽

Binary Decision ◽

Dynamic Fault Tree

Dynamic fault tree is often used to analyze system reliability. The Markov model is a commonly used method, which can accurately reflect the relationship between the state transition process and the dynamic logic gate transfer in the dynamic fault tree. When the complexity or scale of system is increasing, the Markov model encountered a problem of state space explosion leading to increase troubles. To solve the above problems, a modular approach is needed. Based on the modular approach, a hybrid fault module was researched in this paper. Firstly, the stackable fault subtree containing complex static/dynamic logic gate is transformed into four common combinational logic gates through preprocessing of the dynamic gate in the module. Then, the complexity of the model was reduced by incorporating four common combinational logic gates and using the binary decision graph to solve variable ordering in the calculation of failure probability of static subtree. Moreover, the calculating process of complex mixed logic gate fault tree can be simplified. An example of the ammonium nitrate/fuel explosive production system for BCZH-15 explosive vehicle was used to verify the feasibility of the presented method.

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