Reliability Modeling of Modular k-out-of-n Systems with Functional Dependence  
Author Yi-Xuan Zheng


Co-Author(s) Yu Liu; Tao Jiang


Abstract The k-out-of-n systems are among the most important redundancy structures in engineering practices, and they have been extensively studied in the past decades. However, components in a k-out-of-n structure can be dependent due to functional dependence, i.e., their states are also affected by the states of other components in the system. In this article, we propose a new system structure, namely modular k-out-of-n system with functional dependence. In such a system, the failure of some specific components can disable some components in a k-out-of-n structure. Bayesian networks (BN) are used to construct the structure function of the system. The model parameters encoded in the graphical structure of the BN are generated automatically by a customized algorithm. With the proposed BN model, a dynamic BN is furtherly developed to evaluate the reliability of the entire system over time. A computer network system is used to demonstrate the effectiveness of the proposed method.


Keywords Reliability Modeling, modular k-out-of-n system, functional dependence, dynamic Bayesian network
    Article #:  RQD27-133

Proceedings of 27th ISSAT International Conference on Reliability & Quality in Design
Virtual Event

August 4-6, 2022