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Causal chain event graphs for remedial maintenance.
Xuewen Yu1, Jim Q Smith1,2
1Statistics department, University of Warwick, Coventry, UK.
This study introduces the chain event graph (CEG), a novel probabilistic graphical model, for analyzing system reliability and modeling remedial maintenance interventions. CEGs offer a flexible framework for understanding system failures and the causal effects of repairs.
Area of Science:
- System reliability engineering
- Probabilistic graphical models
- Causal inference
Background:
- Traditional graphical tools like fault trees and Bayesian networks are used for system reliability analysis.
- These methods have limitations in representing asymmetric processes and novel intervention types.
Purpose of the Study:
- To introduce and apply the chain event graph (CEG) as a probabilistic graphical model for system reliability analysis.
- To define and model 'remedial' interventions for system maintenance using CEGs.
- To demonstrate the CEG's capability in expressing causal effects of maintenance and guiding predictive inferences.
Main Methods:
- Application of chain event graphs (CEGs), derived from event trees, to model system failures and deterioration.
- Definition of a new formal intervention class termed 'remedial' to represent maintenance actions.
- Adaptation of a backdoor theorem for causal inference in partially observed systems with interventions.
Main Results:
- CEGs flexibly represent asymmetric processes and system deterioration.
- The CEG framework effectively models the causal effects of 'remedial' maintenance, restoring systems to an 'as good as new' state.
- Bespoke causal algebras within the CEG provide a transparent method for predictive inferences regarding interventions.
Conclusions:
- Chain event graphs offer a powerful and flexible tool for system reliability analysis.
- CEGs can effectively model complex causal relationships, including novel 'remedial' maintenance interventions.
- The CEG framework facilitates transparent causal reasoning and inference in system maintenance and reliability studies.
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