IDEAS home Printed from https://ideas.repec.org/a/sae/risrel/v239y2025i1p31-40.html

Optimal burn-in for minimally repaired components from n subpopulations

Author

Listed:
  • Xiaoliang Ling
  • Ruijie Yin
  • Liying Wang

Abstract

Burn-in is a widely used technique to screen out defective components before they are put into field operation. In this paper, we propose a burn-in policy for the components from a heterogeneous population composed of n ordered subpopulations. Assume that components can be minimally repaired when the failure occurs. We consider the total number of minimal repairs observed during burn-in process as a screening rule to remove defective components with poor reliability performance. First, we carry out the probabilistic analysis of the screening policy to show the effectiveness of burn-in. Second, we obtain the optimal burn-in settings which minimize the mean total cost or maximize the probability of passing the mission period. Finally, we give an example to illustrate the proposed model.

Suggested Citation

  • Xiaoliang Ling & Ruijie Yin & Liying Wang, 2025. "Optimal burn-in for minimally repaired components from n subpopulations," Journal of Risk and Reliability, , vol. 239(1), pages 31-40, February.
  • Handle: RePEc:sae:risrel:v:239:y:2025:i:1:p:31-40
    DOI: 10.1177/1748006X231223280
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/1748006X231223280
    Download Restriction: no

    File URL: https://libkey.io/10.1177/1748006X231223280?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
    ---><---

    References listed on IDEAS

    as
    1. Ye, Zhi-Sheng & Shen, Yan & Xie, Min, 2012. "Degradation-based burn-in with preventive maintenance," European Journal of Operational Research, Elsevier, vol. 221(2), pages 360-367.
    2. Sheng‐Tsaing Tseng & Jen Tang & In‐Hong Ku, 2003. "Determination of burn‐in parameters and residual life for highly reliable products," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(1), pages 1-14, February.
    3. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2021. "Optimal warranty policy with inspection for heterogeneous, stochastically degrading items," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1142-1152.
    4. Kim, Kyungmee O. & Kuo, Way, 2009. "Optimal burn-in for maximizing reliability of repairable non-series systems," European Journal of Operational Research, Elsevier, vol. 193(1), pages 140-151, February.
    5. Yisha Xiang & David Coit & Qianmei Feng, 2013. "Subpopulations experiencing stochastic degradation: reliability modeling, burn-in, and preventive replacement optimization," IISE Transactions, Taylor & Francis Journals, vol. 45(4), pages 391-408.
    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. Zhou, Shirong & Tang, Yincai & Xu, Ancha, 2021. "A generalized Wiener process with dependent degradation rate and volatility and time-varying mean-to-variance ratio," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    2. Zhai, Qingqing & Ye, Zhi-Sheng & Yang, Jun & Zhao, Yu, 2016. "Measurement errors in degradation-based burn-in," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 126-135.
    3. Cha, Ji Hwan & Pulcini, Gianpaolo, 2016. "Optimal burn-in procedure for mixed populations based on the device degradation process history," European Journal of Operational Research, Elsevier, vol. 251(3), pages 988-998.
    4. Jinsong Yu & Jie Yang & Diyin Tang & Jing Dai, 2018. "An Optimal Burn-In Policy for Cellular Phone Lithium-Ion Batteries Using a Feature Selection Strategy and Relevance Vector Machine," Energies, MDPI, vol. 11(11), pages 1-19, November.
    5. Chen, Zhen & Pan, Ershun & Xia, Tangbin & Li, Yanting, 2020. "Optimal degradation-based burn-in policy using Tweedie exponential-dispersion process model with measurement errors," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    6. 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.
    7. Zhang, Ao & Wang, Zhihua & Bao, Rui & Liu, Chengrui & Wu, Qiong & Cao, Shihao, 2023. "A novel failure time estimation method for degradation analysis based on general nonlinear Wiener processes," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    8. 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.
    9. Shengjin Tang & Chuanqiang Yu & Xue Wang & Xiaosong Guo & Xiaosheng Si, 2014. "Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error," Energies, MDPI, vol. 7(2), pages 1-28, January.
    10. Si, Xiao-Sheng & Chen, Mao-Yin & Wang, Wenbin & Hu, Chang-Hua & Zhou, Dong-Hua, 2013. "Specifying measurement errors for required lifetime estimation performance," European Journal of Operational Research, Elsevier, vol. 231(3), pages 631-644.
    11. Dai, Anshu & Wang, Xin & Li, Yu & Li, Ting & He, Shuguang, 2023. "Design of a performance-based warranty policy with replacement–repair strategy and cumulative cost threshold," International Journal of Production Economics, Elsevier, vol. 255(C).
    12. Wu, Shengna & Yang, Jun & Peng, Rui & Zhai, Qingqing, 2021. "Optimal design of facility allocation and maintenance strategy for a cellular network," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    13. Bae, Suk Joo & Yuan, Tao & Ning, Shuluo & Kuo, Way, 2015. "A Bayesian approach to modeling two-phase degradation using change-point regression," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 66-74.
    14. Liu, Bin & Wu, Shaomin & Xie, Min & Kuo, Way, 2017. "A condition-based maintenance policy for degrading systems with age- and state-dependent operating cost," European Journal of Operational Research, Elsevier, vol. 263(3), pages 879-887.
    15. Lu, Biao & Wang, Xin & Cui, Weiwei & Ye, Zhisheng, 2025. "A predictive opportunistic maintenance policy for a serial–parallel multi-station manufacturing system with heterogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
    16. Yang, Li & Zhao, Yu & Peng, Rui & Ma, Xiaobing, 2018. "Hybrid preventive maintenance of competing failures under random environment," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 130-140.
    17. Ram Niwas & M. S. Kadyan, 2022. "A bi-objective inspection policy for a repairable engineering system with failure free warranty," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 881-891, April.
    18. Rafiee, Koosha & Feng, Qianmei & Coit, David W., 2017. "Reliability assessment of competing risks with generalized mixed shock models," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 1-11.
    19. 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).
    20. Lijun Shang & Xiguang Yu & Liying Wang & Yongjun Du, 2022. "Design of Random Warranty and Maintenance Policy: From a Perspective of the Life Cycle," Mathematics, MDPI, vol. 10(20), pages 1-22, October.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:sae:risrel:v:239:y:2025:i:1:p:31-40. 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: SAGE Publications (email available below). General contact details of provider: .

    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.