Failure Effects Analysis by Multiple Random Variable

Abstract

The safety-related systems are typically resisting against dangerous faults. Failure effects on the system can be determined directly by monitoring the original system installation, by simulation of the system operation using its model, or by computing or theoretical reasoning. The process of system ageing can be described with the help of the random failure time. If the system contains $n$ elements, generally, the ageing process can be characterised as the $n$-dimensional random process with time-dependent random variables of the $n$-dimensional random vector. The probability density of the failure occurrence of the $i$-th system element is represented by the i-th random variable of the random vector. If the analysis of the safety integrity of the safety-related electronic system is used method FTA, that application of knowledge in the field of multiple random variable can greatly simplify the computation of dangerous failure (top event) rate.