A modelling framework, known as Dynamic and Dependent Tree Theory, is provided which overcomes restrictions in the Kinetic Tree Theory developed in the 1970s for the analysis of fault trees. Kinetic Tree Theory assumes basic events to be independent and its implementation generally requires that the component failure models feature constant failure and repair rates and the options for representing maintenance processes are very limited. This paper describes the modelling framework which integrates Binary Decision Diagram methods, Petri nets and Markov approaches to remove the need for the restrictive assumptions which therefore enables the fault tree model to better represent actual system characteristics.
Andrews, J., & Tolo, S. (2022). Dynamic and Dependent Tree Theory (D 2 T 2 ): A Fault Tree Analysis Framework. In M. Chiara Leva, E. Patelli, L. Podofillini, & S. Wilson (Eds.), Book of Extended Abstracts for the 32nd European Safety and Reliability Conference (139-140)