Reliability of a Coherent System

• Published in: Systems Dependability Assessment pp. 13 - 59
• Main Authors: Brinzei, Nicolae, Aubry, Jean-François
• Format: Book Chapter
• Language: English
• Published: United States Wiley 2015; John Wiley & Sons, Inc
• Subjects: binary decision diagram (BDD) method; Boolean polynomial; fault tree analysis (FTA) software; reliability block diagram (RBD) method; state diagram
• ISBN: 9781848217652; 184821765X
• DOI: 10.1002/9781119053996.ch2

The purpose of the predicted reliability assessment is the computation of the reliability of a system as a function of the reliability of its components. Various methods have been defined in the past to build the structure of a system. This chapter presents the reliability block diagram (RBD) method and the fault tree (FT) method. The research of a reduced Boolean polynomial is based on methods developed in the domain of digital electronic design for any type of Boolean function. The importance of the state diagram for the reliability study of a system is to highlight the monotony of the structure function (SF) (and then the coherence of the system) allowing the formalization of the SF considering only the minimal tie‐sets or the minimal cut‐sets. The main task of the fault tree analysis (FTA) software is to implement the binary decision diagram (BDD) method for the probability calculus.