### Refine

#### Keywords

- Petri-Netz (2) (remove)

Probability propagation nets
(2008)

This work introduces a Petri net representation for the propagation of probabilities and likelihoods, which can be applied to probabilistic Horn abduction, fault trees, and Bayesian networks. These so-called "probability propagation nets" increase the transparency of propagation processes by integrating structural and dynamical aspects into one homogeneous representation. It is shown by means of popular examples that probability propagation nets improve the understanding of propagation processes - especially with respect to the Bayesian propagation algorithms - and thus are well suited for the analysis and diagnosis of probabilistic models. Representing fault trees with probability propagation nets transfers these possibilities to the modeling of technical systems.

Within this thesis time evaluated predicate/transition nets (t-pr/t-nets) have been developed for the purpose to model, simulate and verify complex real-time systems. Therefore, t-pr/t-nets integrate concepts to model timing constraints and can be analysed by the means of structural analysis such as the calculation of s- and t-invariants as well as the identification of traps and co-traps. The applicability of t-pr/t-nets to model, simulate and verify complex systems in the domain of safety-critical real-time systems is proven by the Earliest-Deadline-First-Protocol (EDF) and the Priority-Inheritance-Protocol (PIP). Therefore, the EDF and PIP are modeled by means of t-pr/t-nets. The resulting t-pr/t-nets are verified using structural analysis methods. Due to the enormous complexity and the applicability of structural analysis methods for the verification of the EDF and PIP, it can be shown that t-pr/t-nets are appropriate to model, simulate and verify complex systems in the field of safety-critical real-time systems.