Component Importance Measures for Components With Multiple Dependent Competing Degradation Processes and Subject to Maintenance
Yan-Hui Lin,Yan-Fu Li,Enrico Zio +2 more
TL;DR: The work presented in this paper addresses the issue by extending the mean absolute deviation IM by taking into account: the dependency of multiple degradation processes within one component and among different components; and two types of maintenance tasks: condition-based preventive maintenance via periodic inspections and corrective maintenance.
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Abstract: Component importance measures (IMs) are widely used to rank the importance of different components within a system and guide allocation of resources. The criticality of a component may vary over time, under the influence of multiple dependent competing degradation processes and maintenance tasks. Neglecting this may lead to inaccurate estimation of the component IMs and inefficient related decisions (e.g., maintenance, replacement, etc.). The work presented in this paper addresses the issue by extending the mean absolute deviation IM by taking into account: 1) the dependency of multiple degradation processes within one component and among different components; 2) discrete and continuous degradation processes; and 3) two types of maintenance tasks: condition-based preventive maintenance via periodic inspections and corrective maintenance. Piecewise-deterministic Markov processes are employed to describe the stochastic process of degradation of the component under these factors. A method for the quantification of the component IM is developed based on the finite-volume approach. A case study on one section of the residual heat removal system of a nuclear power plant is considered as an example for numerical quantification.
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Figures

Fig. 12. The valve and pump IMs with different inspection periods 
Fig. 6. The valve and pump IMs 
Fig. 7. The probability of the pump at state 0 (failure) 
Fig. 2. An illustration of two components, modeled byPDMPs. ![Fig. 4. Simplified scheme of the pneumatic valve [41].](/figures/fig-4-simplified-scheme-of-the-pneumatic-valve-41-30qn0n2b.png)
Fig. 4. Simplified scheme of the pneumatic valve [41]. 
Fig. 9. The valve and pump IMs without maintenance
Citations
Condition-Based Maintenance for Systems with Aging and Cumulative Damage Based on Proportional Hazards Model
TL;DR: It is argued that the degradation itself does not directly lead to system failure, but increases the failure risk of the system, so an optimal maintenance policy is obtained by minimizing the long-run cost rate.
78
Birnbaum Importance Measure for Reliability Systems With Dependent Components
Patryk Miziuła,Jorge Navarro +1 more
TL;DR: This paper extends Birnbaum's importance measure to the case of dependent components in a way allowing us to obtain relevant properties including connections and comparisons with other measures proposed and studied recently.
51
Importance-measure based methods for component reassignment problem of degrading components
Yuqiang Fu,Tao Yuan,Xiaoyan Zhu +2 more
TL;DR: A new time-dependent importance measure for degrading components is proposed, a new system-lifetime maximization model is established, and a decomposition method is developed for solving the component reassignment problem.
47
Dependency analysis and degradation process-dependent modeling of lithium-ion battery packs
TL;DR: In this paper, the degradation tests of four configuration lithium-ion battery packs are carried out and the degradation degree of four battery packs is discussed by comparing the parameters difference degree among cells in the charge-discharge profile.
46
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