IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v247y2024ics0951832024001935.html
   My bibliography  Save this article

Reliability analysis of systems with n-stage shock process and m-stage degradation

Author

Listed:
  • Xu, Dong
  • Jia, Xujie
  • Song, Xueying

Abstract

As two major types of damage, natural degradation and random shocks usually emerge in a system simultaneously and may exhibit some complex dependencies. An interesting and not negligible phenomenon is that systems at different health levels have differing resistance to these two damage processes. This study presents a multistate model to capture the main characteristics of a system with dependencies of both damage processes on the current damage level. In the case of multistage damage-level dependencies, the proposed model can be seen as an extension of existing multistage models, i.e., a composite model of n-stage shock process and m-stage degradation. The reliability and probability of system states at time t are derived under the framework of the Markov renewal process. We also use a Monte Carlo simulation to mimic the system lifespan and improve the multistate model. Finally, a study case of microelectromechanical systems is provided to demonstrate the application of the proposed methodology.

Suggested Citation

  • Xu, Dong & Jia, Xujie & Song, Xueying, 2024. "Reliability analysis of systems with n-stage shock process and m-stage degradation," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    • Handle: RePEc:eee:reensy:v:247:y:2024:i:c:s0951832024001935
    DOI: 10.1016/j.ress.2024.110119
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832024001935
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2024.110119?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Jia & Li, Zhigang & Bai, Guanghan & Zuo, Ming J., 2020. "An improved model for dependent competing risks considering continuous degradation and random shocks," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    2. Caballé, N.C. & Castro, I.T. & Pérez, C.J. & Lanza-Gutiérrez, J.M., 2015. "A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 98-109.
    3. Khac Tuan Huynh & Inma T. Castro & Anne Barros & Christophe Bérenguer, 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," Post-Print hal-00790729, HAL.
    4. Che, Haiyang & Zeng, Shengkui & Li, Kehui & Guo, Jianbin, 2022. "Reliability analysis of load-sharing man-machine systems subject to machine degradation, human errors, and random shocks," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    5. Wang, Jia & Han, Xu & Zhang, Yun-an & Bai, Guanghan, 2021. "Modeling the varying effects of shocks for a multi-stage degradation process," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    6. Liang, Qingzhu & Yang, Yinghao & Peng, Changhong, 2023. "A reliability model for systems subject to mutually dependent degradation processes and random shocks under dynamic environments," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    7. Koosha Rafiee & Qianmei Feng & David Coit, 2014. "Reliability modeling for dependent competing failure processes with changing degradation rate," IISE Transactions, Taylor & Francis Journals, vol. 46(5), pages 483-496.
    8. Cao, Yingsai & Liu, Sifeng & Fang, Zhigeng & Dong, Wenjie, 2020. "Modeling ageing effects for multi-state systems with multiple components subject to competing and dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    9. Chen, Ying & Wang, Yanfang & Li, Shumin & Kang, Rui, 2023. "Hybrid uncertainty quantification of dependent competing failure process with chance theory," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    10. Huynh, K.T. & Castro, I.T. & Barros, A. & Bérenguer, C., 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 140-151.
    11. Chang, Miaoxin & Huang, Xianzhen & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2021. "Reliability analysis for systems based on degradation rates and hard failure thresholds changing with degradation levels," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    12. N. C. Caballé & I. T. Castro, 2019. "Assessment of the maintenance cost and analysis of availability measures in a finite life cycle for a system subject to competing failures," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 255-290, March.
    13. Gao, Hongda & Cui, Lirong & Kong, Dejing, 2018. "Reliability analysis for a Wiener degradation process model under changing failure thresholds," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 1-8.
    14. Che, Haiyang & Zeng, Shengkui & Guo, Jianbin & Wang, Yao, 2018. "Reliability modeling for dependent competing failure processes with mutually dependent degradation process and shock process," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 168-178.
    15. Wang, Jia & Bai, Guanghan & Li, Zhigang & Zuo, Ming J., 2020. "A general discrete degradation model with fatal shocks and age- and state-dependent nonfatal shocks," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    16. Feng, Tingting & Li, Shichao & Guo, Liang & Gao, Hongli & Chen, Tao & Yu, Yaoxiang, 2023. "A degradation-shock dependent competing failure processes based method for remaining useful life prediction of drill bit considering time-shifting sudden failure threshold," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    17. Yan, Tao & Lei, Yaguo & Li, Naipeng & Wang, Biao & Wang, Wenting, 2021. "Degradation modeling and remaining useful life prediction for dependent competing failure processes," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    18. Hao Peng & Qianmei Feng & David Coit, 2010. "Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes," IISE Transactions, Taylor & Francis Journals, vol. 43(1), pages 12-22.
    19. Wu, Bei & Wei, Xiaohua & Zhang, Yamei & Bai, Sijun, 2023. "Modeling dynamic environment effects on dependent failure processes with varying failure thresholds," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    20. Hu, Jiawen & Shen, Jingyuan & Shen, Lijuan, 2020. "Opportunistic maintenance for two-component series systems subject to dependent degradation and shock," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    21. Xu, Dong & Tian, Yubin & Shi, Junbiao & Wang, Dianpeng & Zhang, Ming & Li, Haijin, 2023. "Reliability analysis and optimal redundancy for a satellite power supply system based on a new dynamic k-out-of-n: G model," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cao, Shihao & Wang, Zhihua & Liu, Chengrui & Wu, Qiong & Li, Junxing & Ouyang, Xiangmin, 2023. "A novel solution for comprehensive competing failure process considering two-phase degradation and non-Poisson shock," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    2. Chen, Ying & Wang, Yanfang & Li, Shumin & Kang, Rui, 2023. "Hybrid uncertainty quantification of dependent competing failure process with chance theory," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    3. Geng, Yixuan & Wang, Shaoping & Shi, Jian & Zhang, Yuwei & Wang, Weijie, 2023. "Reliability modeling of phased degradation under external shocks," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    4. Hu, Jiawen & Shen, Jingyuan & Shen, Lijuan, 2020. "Opportunistic maintenance for two-component series systems subject to dependent degradation and shock," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    5. Wu, Bei & Wei, Xiaohua & Zhang, Yamei & Bai, Sijun, 2023. "Modeling dynamic environment effects on dependent failure processes with varying failure thresholds," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    6. Wang, Xiaolin & Liu, Bin & Zhao, Xiujie, 2021. "A performance-based warranty for products subject to competing hard and soft failures," International Journal of Production Economics, Elsevier, vol. 233(C).
    7. Che, Haiyang & Zeng, Shengkui & Zhao, Yingzhi & Guo, Jianbin, 2024. "Reliability assessment of multi-state weighted k-out-of-n man-machine systems considering dependent machine deterioration and human fatigue," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
    8. Liu, Yao & Wang, Yashun & Fan, Zhengwei & Bai, Guanghan & Chen, Xun, 2021. "Reliability modeling and a statistical inference method of accelerated degradation testing with multiple stresses and dependent competing failure processes," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    9. Lyu, Hao & Qu, Hongchen & Yang, Zaiyou & Ma, Li & Lu, Bing & Pecht, Michael, 2023. "Reliability analysis of dependent competing failure processes with time-varying δ shock model," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    10. Tingting Huang & Songming Chen & Yuepu Zhao & Wei Dai, 2023. "Reliability assessment of degradation processes with random shocks considering recoverable shock damages," Journal of Risk and Reliability, , vol. 237(6), pages 1150-1162, December.
    11. Kong, Dejing & Qin, Chengwei & He, Yong & Cui, Lirong, 2017. "Sensor-based calibrations to improve reliability of systems subject to multiple dependent competing failure processes," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 101-113.
    12. Wang, Jia & Meng, Bosen & Zhang, Luyu & Yu, Chengjiao, 2024. "Degradation modeling and reliability estimation for mechanical transmission mechanism considering the clearance between kinematic pairs," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    13. Hongda Gao & Dejing Kong & Yixin Sun, 2022. "Reliability modeling and analysis for systems governed by multiple competing failures processes," Journal of Risk and Reliability, , vol. 236(2), pages 256-265, April.
    14. Jingyi Liu & Yugang Zhang & Bifeng Song, 2019. "Reliability and maintenance modeling for competing failures with intermission considered," Journal of Risk and Reliability, , vol. 233(5), pages 898-907, October.
    15. Huynh, K.T. & Grall, A. & Bérenguer, C., 2017. "Assessment of diagnostic and prognostic condition indices for efficient and robust maintenance decision-making of systems subject to stress corrosion cracking," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 237-254.
    16. Wang, Jia & Han, Xu & Zhang, Yun-an & Bai, Guanghan, 2021. "Modeling the varying effects of shocks for a multi-stage degradation process," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    17. Wei, Xiaohua & Bai, Sijun & Wu, Bei, 2023. "A novel shock-dependent preventive maintenance policy for degraded systems subject to dynamic environments and N-critical shocks," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    18. Wu, Bei & Zhang, Yamei & Zhao, Songzheng, 2023. "Modeling coupled effects of dynamic environments and zoned shocks on systems under dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    19. Kang, Fengming & Cui, Lirong & Ye, Zhisheng & Zhou, Yu, 2024. "Reliability analysis for systems with self-healing mechanism in degradation-shock dependence processes with changing degradation rate," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    20. Meango, Toualith Jean-Marc & Ouali, Mohamed-Salah, 2020. "Failure interaction model based on extreme shock and Markov processes," Reliability Engineering and System Safety, Elsevier, vol. 197(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:247:y:2024:i:c:s0951832024001935. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.