RESEARCH PAPER
Optimal predictive maintenance for a nonstationary gamma process
1
Harbin Engineering University, China
2
Hefei University of Technology, China, China
Submission date: 2025-01-26
Final revision date: 2025-02-26
Acceptance date: 2025-03-30
Online publication date: 2025-04-07
Publication date: 2025-04-07
Eksploatacja i Niezawodność – Maintenance and Reliability 2025;27(4):203543
HIGHLIGHTS
- A heuristic predicitive maintenance policy for a nonstationary gamma process.
- A preventive repair model considering the change of degradation rates.
- Decisions based on information of age, degradation, and the number of performed repairs.
- Formulation of the problem in the semi-Markov decision process framework
KEYWORDS
TOPICS
ABSTRACT
Nonstationary gamma processes have extensive applications in depicting the degradation of many practical systems. This paper proposes a predictive maintenance policy that involves various types of maintenance actions for a nonstationary gamma process. Periodic inspections fully reveal the degradation levels of the system. The information on age, degradation, and the number of conducted preventive maintenance actions is synthesized for decision-making, which distinguishes our model from most existing models considering only degradation states. The objective is to find the maximum number of repairs and the best thresholds for preventive maintenance by minimizing the expected average cost in an infinite time horizon. The maintenance problem is addressed as a semi-Markov decision problem. An optimization algorithm is developed to find the optimal values of the decision variables. The effectiveness of the proposed method is verified by a coating system.
REFERENCES (43)
1.
Gan S, Shen N. Maintenance Optimization for a Production System Subject to Shocks Considering a Buffer Inventory and Production Defects. Reliab Eng Syst Saf 2023;238: https://doi.org/10.1016/j.ress....
2.
Zheng R, Qian X, Gu L. Group Maintenance for Numerical Control Machine Tools: A Case Study. IEEE Trans Reliab 2023;72:1407–19. https://doi.org/10.1109/TR.202....
3.
Kim MJ. Robust control of partially observable failing systems. Oper Res 2016;64:999–1014. https://doi.org/10.1287/opre.2....
4.
Hu Y, Miao X, Si Y, Pan E, Zio E. Prognostics and health management: A review from the perspectives of design, development and decision. Reliab Eng Syst Saf 2022;217: https://doi.org/10.1016/j.ress....
5.
Li X, Makis V, Zhao Z, Zuo H, Duan C, Zhang Y. Optimal Bayesian maintenance policy for a gearbox subject to two dependent failure modes. Qual Reliab Eng Int 2019;35:659–76. https://doi.org/10.1002/qre.24....
6.
Al Hanbali A, Saleh H, Ullah N. Two‐threshold control limit policy in condition‐based maintenance. Qual Reliab Eng Int 2022;38:2170–87. https://doi.org/10.1002/qre.30....
7.
de Jonge B, Scarf PA. A review on maintenance optimization. Eur J Oper Res 2020;285:805–24. https://doi.org/10.1016/j.ejor....
8.
Alaswad S, Xiang Y. A review on condition-based maintenance optimization models for stochastically deteriorating system. Reliab Eng Syst Saf 2017;157:54–63. https://doi.org/10.1016/j.ress....
9.
Zio E. Prognostics and Health Management (PHM): Where are we and where do we (need to) go in theory and practice. Reliab Eng Syst Saf 2022;218: https://doi.org/10.1016/j.ress....
10.
Zhao X, Fan Y, Qiu Q, Chen K. Multi-criteria mission abort policy for systems subject to two-stage degradation process. Eur J Oper Res 2021;295:233–45. https://doi.org/10.1016/j.ejor....
11.
Tian Z, Liao H. Condition based maintenance optimization for multi-component systems using proportional hazards model. Reliab Eng Syst Saf 2011;96:581–9. https://doi.org/10.1016/j.ress....
12.
Oszczypała M, Ziółkowski J, Małachowski J. Semi-Markov approach for reliability modelling of light utility vehicles. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2023;25: https://doi.org/10.17531/ein/1....
13.
Abbou A, Makis V. Group maintenance: A restless bandits approach. INFORMS J Comput 2019;31:719–31. https://doi.org/10.1287/ijoc.2....
14.
Zheng R, Wang J, Zhang Y. A hybrid repair-replacement policy in the proportional hazards model. Eur J Oper Res 2023;304:1011–21. https://doi.org/10.1016/j.ejor....
15.
Gámiz ML, Limnios N, Segovia-García M del C. Hidden markov models in reliability and maintenance. Eur J Oper Res 2023;304:1242–55. https://doi.org/10.1016/j.ejor....
16.
Peng R, Mo H, Xie M, Levitin G. Optimal structure of multi-state systems with multi-fault coverage. Reliab Eng Syst Saf 2013;119:18–25. https://doi.org/10.1016/j.ress....
17.
Fang G, Pan R, Wang Y. Inverse Gaussian processes with correlated random effects for multivariate degradation modeling. Eur J Oper Res 2022;300:1177–93. https://doi.org/10.1016/j.ejor....
18.
Gao W, Wang Y, Zhang X, Wang Z. Quasi-periodic Inspection and Preventive Maintenance Policy Optimisation for a system with Wiener Process degradation Indexed by. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2023;25: https://doi.org/10.17531/ein/1....
19.
Zheng R, Najafi S, Zhang Y. A recursive method for the health assessment of systems using the proportional hazards model. Reliab Eng Syst Saf 2022;221: https://doi.org/10.1016/j.ress....
20.
Yan S, Ma B, Wang X, Chen J, Zheng C. Maintenance policy for oil-lubricated systems with oil analysis data [Polityka utrzymania ruchu układów smarowanych olejem w oparciu o dane z analizy oleju]. Eksploatacja i Niezawodnosc 2020;22:455–64. https://doi.org/10.17531/ein.2....
21.
Li J, Wang Z, Liu C, Qiu M. Accelerated degradation analysis based on a random-effect wiener process with one-order autoregressive errors. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2019;21:246–55. https://doi.org/10.17531/ein.2....
22.
Meeker W, Escobar L, Pascual F. Stochastical Methods for Reliability Data. John Wiley & Sons, Ltd; 2022. https://doi.org/10.1109/TR.200....
23.
Tseng S-T, Balakrishnan N, Tsai C-C. Optimal Step-Stress Accelerated Degradation Test Plan for Gamma Degradation Processes. IEEE Trans Reliab 2009;58:611–8. https://doi.org/10.1109/TR.200....
24.
Zhang Z, Mao H, Liu Y, Jiao P, Hu W, Shen P. A Risk Assessment Method of Aircraft Structure Damage Maintenance Interval Considering Fatigue Crack Growth and Detection Rate. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2023;25:3. https://doi.org/10.17531/ein.2....
25.
Nicolai RP, Dekker R, Noortwijk JM Van. A comparison of models for measurable deterioration : An application to coatings on steel structures. Reliab Eng Syst Saf 2007;92:1635–50. https://doi.org/10.1016/j.ress....
26.
Zhao X, Lv Z, He Z, Wang W. Reliability and opportunistic maintenance for a series system with multi-stage accelerated damage in shock environments. Comput Ind Eng 2019;137: https://doi.org/10.1016/j.cie.....
27.
Liang Z, Parlikad AK. A Condition-Based Maintenance Model for Assets With Accelerated Deterioration Due to Fault Propagation. IEEE Trans Reliab 2015;64:972–82. https://doi.org/10.1109/TR.201....
28.
Zheng R, Zhou Y. A dynamic inspection and replacement policy for a two-unit production system subject to interdependence. Appl Math Model 2022;103:221–37. https://doi.org/10.1016/j.apm.....
29.
Guo F, Gregory J, Kirchain R. Probabilistic Life-Cycle Cost Analysis of Pavements Based on Simulation Optimization. Transp Res Rec 2019;2673:389–96. https://doi.org/10.1177/036119....
30.
Andrews J, Prescott D, De Rozières F. A stochastic model for railway track asset management. Reliab Eng Syst Saf 2014;130:76–84. https://doi.org/10.1016/j.ress....
31.
Zhang S, Zhou W. Cost-based optimal maintenance decisions for corroding natural gas pipelines based on stochastic degradation models. Eng Struct 2014;74:74–85. https://doi.org/10.1016/j.engs....
32.
Uit Het Broek MAJ, Teunter RH, de Jonge B, Veldman J, van Foreest ND. Condition-based production planning: Adjusting production rates to balance output and failure risk. Manufacturing and Service Operations Management 2020;22:792–811. https://doi.org/10.1287/msom.2....
33.
Chuang C, Ningyun L, Bin J, Yin X. Condition-based maintenance optimization for continuously monitored degrading systems under imperfect maintenance actions. Journal of Systems Engineering and Electronics 2020;31:841–51. https://doi.org/10.23919/JSEE.....
34.
Fan H, Wang Z, Wu J, Tang S. An Optimal Imperfect Maintenance Policy for a Partially Observed System With Obvious Failures and Limited Repairs. IEEE Access 2019;7:72790–802. https://doi.org/10.1109/ACCESS....
35.
van Noortwijk JM. A survey of the application of gamma processes in maintenance. Reliab Eng Syst Saf 2009;94:2–21. https://doi.org/10.1016/j.ress....
36.
Elwany AH, Gebraeel NZ, Maillart LM. Structured replacement policies for components with complex degradation processes and dedicated sensors. Oper Res 2011;59:684–95. https://doi.org/10.1016/j.ress....
37.
Wang J, Miao Y, Yi Y, Huang D. An imperfect age-based and condition-based opportunistic maintenance model for a two-unit series system. Comput Ind Eng 2021;160: https://doi.org/10.1016/j.cie.....
38.
Uit Het Broek MAJ, Teunter RH, de Jonge B, Veldman J. Joint condition-based maintenance and load-sharing optimization for two-unit systems with economic dependency. Eur J Oper Res 2021;295:1119–31. https://doi.org/10.1016/j.ejor....
39.
Tijms HC. Stochastic Models: An Algorithmic Approach. New York: John Wiley & Sons, Ltd; 1994.
40.
Wang J, Makis V, Zhao X. Optimal condition-based and age-based opportunistic maintenance policy for a two-unit series system. Comput Ind Eng 2019;134:1–10. https://doi.org/10.1016/j.cie.....
41.
Jafari L, Naderkhani F, Makis V. Joint optimization of maintenance policy and inspection interval for a multi-unit series system using proportional hazards model. Journal of the Operational Research Society 2018;69:36–48. https://doi.org/10.1057/s41274....
43.
Nicolai RP, Frenk JBG, Dekker R. Modelling and optimizing imperfect maintenance of coatings on steel structures. Structural Safety 2009;31:234–44. https://doi.org/10.1016/j.stru....
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