Software Solution for Reliability Analysis Based on Interpolative Boolean Algebra

Abstract

In this paper, our objective is to present a software solution for evaluating and analyzing reliability of a system. Applying the principles of Interpolative Boolean algebra (IBA) our software can model both classical systems, with a discrete {0,1}-valued structural function and systems whose operability can be represented by a continuous fuzzy measure. The proposed software solution uses Generalized Boolean polynomial (GBP) to determine an algebraic representation of the system structural function and thus evaluate its reliability. As the complexity of analysis exponentially grows with the number of the system's components, automated calculation of a system that is quite complex is often the only choice.