Reliability Analysis for Multistate Consecutive k-out-of-n: F System Using Bayesian Network

Abstract

This paper aims to determine the reliability of a complex system using a Bayesian network. A Bayesian network (BN) is a probabilistic graphical model that represents knowledge about an uncertain domain where each component corresponds to a random variable and each edge represents the corresponding conditional probability. Bayesian network is used to estimate the multistate consecutive k-out-of-n: F system reliability. This paper presents the Bayesian network construction and the reliability of the proposed system. The reliability of linear and circular multistate consecutive k-out-of-n: F systems based on the Bayesian network are compared. Furthermore, the reliability of proposed system is shown to be significantly greater than the exact reliability obtained by Amirian, Khodadadi, and Chatrabgoun.