Hardware-based Reliability Tree (HRT) for fault tree analysis

Reliability analysis of critical systems is performed using fault trees. Fault trees are then converted to their equivalent Binary Decision Diagram, Cut Set, Markov Chain or Bayesian Network. These approaches however are complex and time consuming if a continuous time reliability curve is aimed, particularly for large systems. This paper introduces Hardware-based Reliability Tree (HRT). The HRT can be implemented by hardware in order to decrease reliability calculation time of a complex system. In this method, from a given fault tree, an equivalent Reliability Tree is generated and an equivalent hardware using op-amp, adder, gain, and multiplier circuits, is constructed. After obtaining continuous reliability curve over time, an integrator is utilized for calculating time to failure of the system. In order to evaluate the model, two systems were evaluated. The first one is a security alarm system and the second consists of two processors which share a single spare. In the case of failure of each processor, the spare is activated. Evaluation of these benchmarks using hardware implemented HRT demonstrates an speed up of up to 3.4E+6.