Evaluation Of The Dynamic Reliability By Differential Equations

Dynamic reliability is defined as the part of the probabilistic analysis in dependability, which studies in an integrated manner the behavior of human-machine systems-software affected by a change in the underlying dynamics. In this article, we study the evaluation of the dynamic reliability of a test case, the heated tank. Our approach consists of four steps: the first one is to study the system in a functional analysis using the FAST method, the second step allows studying the tank through a dysfunctional analysis to obtain dangerous events which can lead to the failure system; the third step is used to model the system by a tree of events in the context of dependability and the last step is to model the different paths leading to failure and the final result is a mathematical model in the form of differential equations.