IDEAS home Printed from https://ideas.repec.org/a/taf/uiiexx/v49y2017i9p911-926.html
   My bibliography  Save this article

Reliability performance for dynamic multi-state repairable systems with regimes

Author

Listed:
  • Jingyuan Shen
  • Lirong Cui

Abstract

It is well known that many factors can influence the rate at which a machine degrades. In this article, we study a multi-state repairable system subject to continuous degradation and dynamically evolving regimes. The degradation rate of the system depends not only on the system states but also on the regimes driven by the varying external environments. Movements between the system states are governed by continuous-time Markov processes but with different transition rate matrices due to different regimes; meanwhile, the evolution of regime is also governed by a Markov process. Such a system can be developed by the Markov regime-switching model. To derive the system performance such as the first passage time distribution, a Markov renewal process is introduced by giving its semi-Markov kernel. We also consider the system in the context of periodic inspections and maintenance and give the limiting average availability. Finally, some numerical examples are given to demonstrate and validate the proposed framework.

Suggested Citation

  • Jingyuan Shen & Lirong Cui, 2017. "Reliability performance for dynamic multi-state repairable systems with regimes," IISE Transactions, Taylor & Francis Journals, vol. 49(9), pages 911-926, September.
    • Handle: RePEc:taf:uiiexx:v:49:y:2017:i:9:p:911-926
    DOI: 10.1080/24725854.2017.1318228
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/24725854.2017.1318228
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/24725854.2017.1318228?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. Lei Jiang & Qianmei Feng & David W. Coit, 2015. "Modeling zoned shock effects on stochastic degradation in dependent failure processes," IISE Transactions, Taylor & Francis Journals, vol. 47(5), pages 460-470, May.
    2. Alan Hawkes & Lirong Cui & Zhihua Zheng, 2011. "Modeling the evolution of system reliability performance under alternative environments," IISE Transactions, Taylor & Francis Journals, vol. 43(11), pages 761-772.
    3. Julia S. Benoit & Wenyaw Chan & Rachelle S. Doody, 2015. "Joint coverage probability in a simulation study on continuous-time Markov chain parameter estimation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(12), pages 2531-2538, December.
    4. Xiao Liu & Jingrui Li & Khalifa Al-Khalifa & Abdelmagid Hamouda & David Coit & Elsayed Elsayed, 2013. "Condition-based maintenance for continuously monitored degrading systems with multiple failure modes," IISE Transactions, Taylor & Francis Journals, vol. 45(4), pages 422-435.
    5. John A. Flory & Jeffrey P. Kharoufeh & Nagi Z. Gebraeel, 2014. "A switching diffusion model for lifetime estimation in randomly varying environments," IISE Transactions, Taylor & Francis Journals, vol. 46(11), pages 1227-1241, November.
    6. Linkan Bian & Nagi Gebraeel & Jeffrey P. Kharoufeh, 2015. "Degradation modeling for real-time estimation of residual lifetimes in dynamic environments," IISE Transactions, Taylor & Francis Journals, vol. 47(5), pages 471-486, May.
    7. Yisha Xiang & David W. Coit & Qianmei (May) Feng, 2014. "Accelerated burn-in and condition-based maintenance for -subpopulations subject to stochastic degradation," IISE Transactions, Taylor & Francis Journals, vol. 46(10), pages 1093-1106, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ji Hwan Cha & Maxim Finkelstein, 2019. "On some characteristics of quality for systems operating in a random environment," Journal of Risk and Reliability, , vol. 233(2), pages 257-267, April.
    2. Jingyuan Shen & Alaa Elwany & Lirong Cui, 2018. "Reliability modeling for systems degrading in K cyclical regimes based on gamma processes," Journal of Risk and Reliability, , vol. 232(6), pages 754-765, December.
    3. Wenjie Dong & Sifeng Liu & Zhigeng Fang & Yingsai Cao & Ye Ding, 2019. "A model based on hidden graphic evaluation and review technique network to evaluate reliability and lifetime of multi-state systems," Journal of Risk and Reliability, , vol. 233(3), pages 369-378, June.

    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. Shen, Jingyuan & Hu, Jiawen & Ma, Yizhong, 2020. "Two preventive replacement strategies for systems with protective auxiliary parts subject to degradation and economic dependence," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    2. Cheng, Yao & Wei, Yian & Liao, Haitao, 2022. "Optimal sampling-based sequential inspection and maintenance plans for a heterogeneous product with competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    3. Azadeh, A. & Asadzadeh, S.M. & Salehi, N. & Firoozi, M., 2015. "Condition-based maintenance effectiveness for series–parallel power generation system—A combined Markovian simulation model," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 357-368.
    4. Li, Naipeng & Gebraeel, Nagi & Lei, Yaguo & Bian, Linkan & Si, Xiaosheng, 2019. "Remaining useful life prediction of machinery under time-varying operating conditions based on a two-factor state-space model," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 88-100.
    5. 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).
    6. 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).
    7. Wen, Yuxin & Wu, Jianguo & Das, Devashish & Tseng, Tzu-Liang(Bill), 2018. "Degradation modeling and RUL prediction using Wiener process subject to multiple change points and unit heterogeneity," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 113-124.
    8. Zhengxin Zhang & Xiaosheng Si & Changhua Hu & Xiangyu Kong, 2015. "Degradation modeling–based remaining useful life estimation: A review on approaches for systems with heterogeneity," Journal of Risk and Reliability, , vol. 229(4), pages 343-355, August.
    9. 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).
    10. Du, Shijia & Zeng, Zhiguo & Cui, Lirong & Kang, Rui, 2017. "Reliability analysis of Markov history-dependent repairable systems with neglected failures," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 134-142.
    11. 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).
    12. Shen, Jingyuan & Cui, Lirong & Ma, Yizhong, 2019. "Availability and optimal maintenance policy for systems degrading in dynamic environments," European Journal of Operational Research, Elsevier, vol. 276(1), pages 133-143.
    13. Lirong Cui & Shijia Du & Aofu Zhang, 2014. "Reliability measures for two-part partition of states for aggregated Markov repairable systems," Annals of Operations Research, Springer, vol. 212(1), pages 93-114, January.
    14. Fang, Jiayue & Kang, Rui & Chen, Ying, 2021. "Reliability evaluation of non-repairable systems with failure mechanism trigger effect," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    15. Baoliang Liu & Lirong Cui & Yanqing Wen, 2014. "Interval reliability for aggregated Markov repairable system with repair time omission," Annals of Operations Research, Springer, vol. 212(1), pages 169-183, January.
    16. David T. Abdul‐Malak & Jeffrey P. Kharoufeh & Lisa M. Maillart, 2019. "Maintaining systems with heterogeneous spare parts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(6), pages 485-501, September.
    17. Li, Yan & Cui, Lirong & Lin, Cong, 2017. "Modeling and analysis for multi-state systems with discrete-time Markov regime-switching," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 41-49.
    18. Rassoul Noorossana & Kamyar Sabri-Laghaie, 2015. "Reliability and maintenance models for a dependent competing-risk system with multiple time-scales," Journal of Risk and Reliability, , vol. 229(2), pages 131-142, April.
    19. Wang, Xiaofei & Wang, Bing Xing & Jiang, Pei Hua & Hong, Yili, 2020. "Accurate reliability inference based on Wiener process with random effects for degradation data," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    20. Alaswad, Suzan & Xiang, Yisha, 2017. "A review on condition-based maintenance optimization models for stochastically deteriorating system," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 54-63.

    More about this item

    Statistics

    Access and download statistics

    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:taf:uiiexx:v:49:y:2017:i:9:p:911-926. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/uiie .

    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.