A discrete-time Bayesian network approach for reliability analysis of dynamic systems with common cause failures

Abstract The dynamic and dependent behaviors are typical characteristics of modern complex systems, whose reliability is often improved through the design of multichannel parallel structures. The existence of common cause failures (CCFs) has a significant impact on system reliability. A reliability analysis model is proposed for dynamic systems with CCFs based on discrete-time Bayesian networks (DTBNs). The system operating time is dispersed into several time intervals, and the component failures are divided into independent and CCF states. Dynamic systems with cold and warm spare parts are examined to determine the modelling methodology and conditional probability tables (CPTs) of Bayesian network (BN) nodes. The reliability calculation is realised through the Bayesian inference mechanism. The model is applied to the CCF analysis and fault diagnosis of a digital safety-level distributed control system (DCS) of nuclear power plants (NPPs) to prove the effectiveness and feasibility of the method.

[1]  Chen Kang,et al.  Research on Probabilistic Safety Analysis Approach of Flight Control System Based on Bayesian Network , 2015 .

[2]  Lin Yang,et al.  A methodology for reliability of WSN based on software defined network in adaptive industrial environment , 2018, IEEE/CAA Journal of Automatica Sinica.

[3]  Peter Palensky,et al.  An Overview on the Reliability of Modern Power Electronic Based Power Systems , 2020, IEEE Open Journal of Power Electronics.

[4]  Zahra Mohaghegh,et al.  Simulation-Informed Probabilistic Methodology for Common Cause Failure Analysis , 2019, Reliab. Eng. Syst. Saf..

[5]  Mohammad Modarres,et al.  A common cause failure model for components under age-related degradation , 2020, Reliab. Eng. Syst. Saf..

[6]  Liudong Xing,et al.  Reliability Analysis of Nonrepairable Cold-Standby Systems Using Sequential Binary Decision Diagrams , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[7]  A. Vicenzutti,et al.  All-Electric Ship-Integrated Power Systems: Dependable Design Based on Fault Tree Analysis and Dynamic Modeling , 2019, IEEE Transactions on Transportation Electrification.

[8]  Jinhua Mi,et al.  Application of discrete‐time Bayesian network on reliability analysis of uncertain system with common cause failure , 2018, Qual. Reliab. Eng. Int..

[9]  Iris Tien,et al.  Algorithms for Bayesian network modeling and reliability assessment of infrastructure systems , 2016, Reliab. Eng. Syst. Saf..

[10]  Man Cheol Kim,et al.  Reliability block diagram with general gates and its application to system reliability analysis , 2011 .

[11]  Marvin Rausand,et al.  System Reliability Theory: Models, Statistical Methods, and Applications , 2003 .

[12]  H. Boudali,et al.  A new Bayesian network approach to solve dynamic fault trees , 2005, Annual Reliability and Maintainability Symposium, 2005. Proceedings..

[13]  Salvatore J. Bavuso,et al.  Dynamic fault-tree models for fault-tolerant computer systems , 1992 .

[14]  Luigi Portinale,et al.  Improving the analysis of dependable systems by mapping fault trees into Bayesian networks , 2001, Reliab. Eng. Syst. Saf..

[15]  Seyed Ghassem Miremadi,et al.  FPGA-based Monte Carlo simulation for fault tree analysis , 2004, Microelectron. Reliab..

[16]  Weiwen Peng,et al.  Reliability analysis of multi-state systems with common cause failures based on Bayesian network and fuzzy probability , 2019, Ann. Oper. Res..

[17]  Hong-Zhong Huang,et al.  Reliability analysis of multi-state systems with common cause failure based on Bayesian Networks , 2012, 2012 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering.

[18]  Haowei Wang,et al.  Reliability Modeling of Redundant Systems Considering CCF Based on DBN , 2019 .

[19]  Rania A. Fahmy Development of dynamic fault tree model for reactor protection system , 2020 .

[20]  Nenad Medvidovic,et al.  A Bayesian Model for Predicting Reliability of Software Systems at the Architectural Level , 2007, QoSA.

[21]  A. Ebrahimi,et al.  Constructing the Bayesian Network for components reliability importance ranking in composite power systems , 2012 .

[22]  Salvatore J. Bavuso A novel solution-technique applied to a novel WAAS architecture , 1998, Annual Reliability and Maintainability Symposium. 1998 Proceedings. International Symposium on Product Quality and Integrity.

[23]  Vikram Garaniya,et al.  Reliability assessment of marine floating structures using Bayesian network , 2018, Applied Ocean Research.

[24]  H. M. Paula,et al.  Procedures for treating common cause failures in safety and reliability studies: Volume 2, Analytic background and techniques: Final report , 1988 .

[25]  P. E. Oguntunde,et al.  On the Sum of Exponentially Distributed Random Variables: A Convolution Approach , 2014 .

[26]  Tuan Anh Nguyen,et al.  Reliability and Availability Evaluation for Cloud Data Center Networks Using Hierarchical Models , 2019, IEEE Access.

[27]  Hong Yi,et al.  Warship reliability evaluation based on dynamic bayesian networks and numerical simulation , 2017 .

[28]  J. Pearl Graphical Models, Causality, and Intervention , 2011 .

[29]  Finn V. Jensen,et al.  Bayesian Networks and Decision Graphs , 2001, Statistics for Engineering and Information Science.

[30]  Jussi K. Vaurio The theory and quantification of common cause shock events for redundant standby systems , 1994 .

[31]  Chenggang Bai,et al.  Bayesian network based software reliability prediction with an operational profile , 2005, J. Syst. Softw..

[32]  Ali Mosleh,et al.  A systematic procedure for the incorporation of common cause events into risk and reliability models , 1986 .

[33]  Yin Xiaowei Common Cause Failure Model of System Reliability Based on Bayesian Networks , 2010 .

[34]  Chiranjeev Kumar,et al.  An optimized technique for reliability analysis of safety‐critical systems: A case study of nuclear power plant , 2018, Qual. Reliab. Eng. Int..

[35]  Salvatore J. Bavuso,et al.  Fault trees and sequence dependencies , 1990, Annual Proceedings on Reliability and Maintainability Symposium.

[36]  E. Gouno,et al.  Bayesian inference for Common cause failure rate based on causal inference with missing data , 2020, Reliab. Eng. Syst. Saf..

[37]  Jing Lin,et al.  Application of Bayesian Networks in Reliability Evaluation , 2019, IEEE Transactions on Industrial Informatics.

[38]  Joanne Bechta Dugan,et al.  A discrete-time Bayesian network reliability modeling and analysis framework , 2005, Reliab. Eng. Syst. Saf..

[39]  N. Fenton,et al.  Solving dynamic fault trees using a new Hybrid Bayesian Network inference algorithm , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[40]  Yonghong Liu,et al.  Using Bayesian networks in reliability evaluation for subsea blowout preventer control system , 2012, Reliab. Eng. Syst. Saf..

[41]  Gregory Levitin,et al.  Dynamic System Reliability , 2019 .

[42]  Carlos Soares,et al.  Fault Tree Analysis of floating offshore wind turbines , 2019, Renewable Energy.

[43]  Yonghong Liu,et al.  Dynamic Bayesian network modeling of reliability of subsea blowout preventer stack in presence of common cause failures , 2015 .

[44]  Ming Yang,et al.  Reliability analysis of Digital Instrumentation and Control software system , 2017 .

[45]  Yan Liu,et al.  Smart Maintenance via Dynamic Fault Tree Analysis: A Case Study on Singapore MRT System , 2017, 2017 47th Annual IEEE/IFIP International Conference on Dependable Systems and Networks (DSN).

[46]  Joanne Bechta Dugan,et al.  DIFtree: a software package for the analysis of dynamic fault tree models , 1997, Annual Reliability and Maintainability Symposium.

[47]  Jean-Jacques Lesage,et al.  Improving the Efficiency of Dynamic Fault Tree Analysis by Considering Gate FDEP as Static , 2010 .