Identifying Causal Effects on a Chain Event Graph for Remedial Interventions

To efficiently analyse system reliability, graphical tools such as fault trees and Bayesian networks are widely adopted. In this article, instead of conventional graphical tools, we apply a probabilistic graphical model called the chain event graph (CEG) to represent failure and deteriorating processes of a system. The CEG is derived from an event tree and can flexibly represent the unfolding of the asymmetric processes. We customise a domain-specific intervention on the CEG called the remedial intervention for maintenance. This fixes the root causes of a failure and returns the status of the system to as good as new: a novel type of intervention designed specifically for reliability applications. The semantics of the CEG are expressive enough to capture the necessary intervention calculus. Furthermore through the bespoke causal algebras the CEG provides a transparent framework to guide and express the rationale behind predictive inferences about the effects of various types of the remedial intervention. A back-door theorem is adapted to apply to these interventions to help discover when causal effects can be identified from a partially observed system.