journal article·2025-12-03Open access

Condition-Based Maintenance Decision-Making for Multi-Component Systems with Integrated Dynamic Bayesian Network and Proportional Hazards Model

Shizheng Li, Canjiong Yao, Pengfei Xu, Jinyan Guo, Guoqing Wang, Jing Tang

Applied Sciences· Volume 15· Issue 23

Abstract

A condition-based maintenance decision-making framework for multi-component systems is proposed in this work by integrating dynamic Bayesian network (DBN) with proportional hazards model (PHM). The framework is designed to address the challenge of handling mixed failure types and complex failure dependencies, which often lead to inaccurate maintenance decisions in existing methods. In this integrated model, the DBN captures the failure evolution and both dynamic and static dependencies among components, while the PHM enhances the capability to characterize mixed failure interactions, thereby enabling the coverage of three common types of failure dependencies in multi-component systems. The model is formulated and solved using a finite-horizon Markov decision process (MDP), with the optimal maintenance strategy obtained by maximizing the total expected reward. Numerical case studies demonstrate the framework’s flexibility in handling mixed failures and complex dependencies, showing its potential to effectively support condition-based maintenance decision-making for complex multi-component systems.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Reliability and Maintenance Optimization · Engineering and Test Systems · Software Reliability and Analysis Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

The Fifth Institute of Electronics, Ministry of Industry and Information Technology, Guangzhou 511370, China

Guangdong Provincial Key Laboratory of Electronic Information Products Reliability Technology, Guangzhou 511370, China

Key Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun 130022, China

School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130022, China

Chongqing Research Institute of Jilin University, Chongqing 401120, China

Funding

Guangdong Basic and Applied Basic Research Foundation · Opening Project of the Key Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University · Natural Science Foundation of Chongqing Municipality · Special Funds of CEPREI

References (33)

Show source-provided references
1. Condition-Based Maintenance Policies for Systems with Multiple Dependent Components: A Review10.1016/j.ejor.2017.02.044 ↗
2. Zhao, J., Gao, C., and Tang, T. (2022). A Review of Sustainable Maintenance Strategies for Single Component and Multicomponent Equipment. Sustainability, 14.10.3390/su14052992 ↗
3. Condition-Based Maintenance Method for Multi-Component Systems under Discrete-State Condition: Subsea Production System as a Case10.1016/j.oceaneng.2024.118166 ↗
4. An Adaptive Reliability-Based Maintenance Policy for Mechanical Systems under Variable Environments10.1016/j.ress.2023.109396 ↗
5. Failure Interaction Models for Multicomponent Systems: A Comparative Study10.1007/s42452-018-0063-2 ↗
6. Generalized Condition-Based Maintenance Optimization for Multi-Component Systems Considering Stochastic Dependency and Imperfect Maintenance10.1016/j.ress.2021.107592 ↗
7. Condition-Based Maintenance Strategies for Stochastically Dependent Systems Using Nested Lévy Copulas10.1016/j.ress.2021.108038 ↗
8. A Failure-Dependency Modeling and State Discretization Approach for Condition-Based Maintenance Optimization of Multi-Component Systems10.1016/j.jmsy.2018.04.018 ↗
9. Optimal Replacement in a Proportional Hazards Model with Cumulative and Dependent Risks10.1016/j.cie.2022.108930 ↗
10. Predictive Maintenance of Systems Subject to Hard Failure Based on Proportional Hazards Model10.1016/j.ress.2019.106707 ↗
11. Application of Bayesian Networks in Reliability Assessment: A Systematic Literature Review10.1016/j.istruc.2024.108098 ↗
12. Application of Bayesian Networks in Reliability Evaluation10.1109/TII.2018.2858281 ↗
13. A Novel Approach Based on Fault Tree Analysis and Bayesian Network for Multi-State Reliability Analysis of Complex Equipment Systems
14. Benefit and Customer Demand Approach for Maintenance Optimization of Complex Systems Using Bayesian Networks
15. Opportunistic Predictive Maintenance for Complex Multi-Component Systems Based on DBN-HAZOP Model10.1016/j.psep.2012.06.004 ↗
16. Performance Evaluation of Subsea BOP Control Systems Using Dynamic Bayesian Networks with Imperfect Repair and Preventive Maintenance10.1016/j.engappai.2013.08.011 ↗
17. Evaluation of Proactive Maintenance Policies on a Stochastically Dependent Hidden Multi-Component System Using DBNs10.1016/j.ress.2021.107559 ↗
18. Incorporating Bayesian Networks in Markov Decision Processes10.1061/(ASCE)IS.1943-555X.0000134 ↗
19. Optimal Inspection and Maintenance Planning for Deteriorating Structural Components through Dynamic Bayesian Networks and Markov Decision Processes10.1016/j.strusafe.2021.102140 ↗
20. Analyzing the Impact of Maintenance on Profitability Using Dynamic Bayesian Networks10.1016/j.procir.2020.05.008 ↗
21. A Bayesian Network Interpretation of the Cox’s Proportional Hazard Model10.1016/j.ijar.2018.09.007 ↗
22. Condition-Based Maintenance with Dynamic Thresholds for a System Using the Proportional Hazards Model10.1016/j.ress.2020.107123 ↗
23. A Recursive Method for the Health Assessment of Systems Using the Proportional Hazards Model10.1016/j.ress.2022.108379 ↗
24. Residual-Life Distributions from Component Degradation Signals: A Bayesian Approach10.1080/07408170590929018 ↗
25. Pham, H. (2006). Statistical Reliability with Applications. Springer Handbook of Engineering Statistics, Springer.10.1007/978-1-84628-288-1 ↗
26. Health Assessment Method for Electronic Components Subject to Condition Monitoring and Hard Failure10.1109/TIM.2018.2839938 ↗
27. Prediction of Hard Failures with Stochastic Degradation Signals Using Wiener Process and Proportional Hazards Model10.1016/j.cie.2018.09.015 ↗
28. An Integrated Approach for System Functional Reliability Assessment Using Dynamic Bayesian Network and Hidden Markov Model10.1016/j.ress.2018.07.002 ↗
29. Bayesian Network Learning with Parameter Constraints
30. A DBN Based Reactive Maintenance Model for a Complex System in Thermal Power Plants10.1016/j.ress.2019.106505 ↗
31. Adaptive Maintenance Policies for Aging Devices Using a Markov Decision Process10.1109/TPWRS.2012.2237042 ↗
32. (2025, October 29). Bayes Net Toolbox for Matlab. Available online: https://github.com/bayesnet/bnt.
33. Efficient Solution Algorithms for Factored MDPs10.1613/jair.1000 ↗