Time-Dependent Probabilistic Model for Hierarchical Structure in Failure Mode and Effect Analysis

Abstract

Failure mode and effect analysis (FMEA) is a structured technique for identifying risks that may occur during a given stage of a system’s life cycle. However, the use of the risk priority number (RPN) in traditional FMEA results in difficulties with regard to quantification of the degree of risk in the hierarchical failure structure. This study proposes the use of a hierarchical time-dependent FMEA approach to overcome the limitations encountered during the implementation of traditional FMEA approaches. In place of the RPN, a probabilistic loss model is developed under a hierarchical structure considering the elapsed time from the failure-cause (FC) to the system failure. By assuming exponential and case functions for each occurrence and detection time instant, the expected loss corresponding to each FC can be evaluated. As a result of the practical application of the time-dependent probabilistic model through the numerical example, we could reasonably evaluate the risk from the cause of failure in the hierarchical structure in terms of economic loss.

Information Security Risk Assessment (ISRA): A Systematic Literature Review

“…Seven articles focus on information security risk analysis in government, three on educational institutions, one on civil engineering companies, one on e-commerce in particular, two on cloud computing, and the others on information systems in general. [11], [13], [15], [18], [21], [24], [25], [26], [27], [30], [35] 11 Government [14], [19], [23], [28], [29], [32], [34] 7 Education Institution [16], [20], […”

“…There is one study that compares quantitative and qualitative methods [11]. [11], [15], [18], [20], [21], [25], [28], [31], [32] 9 Quantitative [11], [13], [16], [17], [22], [26], [27], [35] 8 Hybrid [12], [14], [19], [23], [24], [29], [30], [33], [34] 9…”

A Novel Risk Assessment and Analysis Method for Correlation in a Complex System Based on Multi-Dimensional Theory

“…Therefore, according to the definition of Shannon entropy, it is assumed that the fault propagation from resource element 𝑟 to resource element 𝑟 requires n steps, and the probability of fault propagation for each step is 𝑝 , 𝑝 ,…, 𝑝 (based on the direct propagation matrix 𝐶 ). Then, based on Shannon entropy, 𝐻 means the effect of safety risk entropy that from resource element resource 𝑟 to the resource element 𝑟 , as shown in Equation (16). In other words, 𝐻 represents the uncertainty risk of fault propagation from resource element 𝑟 to resource element 𝑟 .…”

“…, p n (based on the direct propagation matrix C P d ). Then, based on Shannon entropy, H ij means the effect of safety risk entropy that from resource element resource r i to the resource element r j , as shown in Equation (16). In other words, H ij represents the uncertainty risk of fault propagation from resource element r i to resource element r j .…”

“…[15] used a Monte Carlo simulation and cost-based FMEA to account for the uncertainties in: detection time, fixing time, occurrence, delay time, down time, and model complex scenarios. Hyeon-ae Jang [16] proposed a time-dependent probabilistic approach of FMEA to evaluate safety of automotive-manufacturing. Liu, Yang [17] proposed an FTA-based method for risk decision-making in emergency response and applied it in H1N1 infectious diseases.…”