Reliability Analysis of Complex Safety-Critical System with Exponential Decay Failure Laws

This paper presents the Matrix-based minimal paths technique in order to solve the system model that represent a Complex Safety-Critical System (CSCS) with eight components, and its reliability polynomial has been determined. The Matrix-based minimal paths deduction has been used to simplify CSCS into a simple parallel and series system. The random variables related with component failure rate and operational time have been modelled using the exponential decay distribution. Logical reliability methodologies were applied to obtain at the reliability and mean time to failure (MTTF) derivation formulae. The functioning of these reliability measures is examined by considering the arbitrary values of the parameters (including scale and shape parameters) associated with different time points. The study's conclusions have been proven in the real world by applying them to a variety of different situations.