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Random Maintenance Strategy Modeling of Warranted Products with Reliability Heterogeneity

Author

Listed:
  • Chengye Ma

    (School of Science, Lanzhou University of Technology, Lanzhou 730050, China)

  • Yongjun Du

    (School of Economics and Management, Lanzhou University of Technology, Lanzhou 730050, China)

  • Lijun Shang

    (School of Quality Management and Standardization, Foshan University, Foshan 528000, China)

  • Li Yang

    (School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China)

  • Kaiye Gao

    (School of Management & Economics, Beijing Information Science and Technology University, Beijing 100192, China)

Abstract

Using monitored job cycles to design and model random maintenance strategies for ensuring life-cycle reliability has been extensively researched. The reliability heterogeneity over the life cycle has been ignored universally in this type of strategy. In this paper, using two different areas of regions that can screen reliability, two random maintenance strategies were customized for the life-cycle reliabilities of warrantied products with monitored job cycles to be ensured based on reliability heterogeneity. In the case of using minimal repair, the first one was flexibly customized depending on whether the first failure occurs in the region consisting of limited job cycles or a period of warranty service, whichever occurs first. Such a strategy is called flexible repair warranty first (FRWF) and can be used to ensure warranty-stage reliability during a product’s life cycle. The FRWF strategy is modeled from the perspectives of cost and time measures. Based on whether the first failure of the product through its FRWF occurs in another region, random periodic replacement (RPR) and classic periodic replacement (CPR) are triggered to customize the second one, which is named bivariate customized random maintenance (BCRM) because two decision variables are considered. The BCRM and its variants are modeled from the perspectives of the average cost rates. Finally, numerical analysis of some of the customized strategies was performed from the numerical perspective. Numerical analysis showed that the presented FRWF is superior to the classic free repair warranty (FRW) strategy because the servicing time of the presented FRWF strategy is longer than the servicing time of the classic FRW strategy at the same cost.

Suggested Citation

  • Chengye Ma & Yongjun Du & Lijun Shang & Li Yang & Kaiye Gao, 2023. "Random Maintenance Strategy Modeling of Warranted Products with Reliability Heterogeneity," Sustainability, MDPI, vol. 15(18), pages 1-19, September.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:18:p:13795-:d:1240918
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    References listed on IDEAS

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    1. Huang, Yeu-Shiang & Huang, Chao-Da & Ho, Jyh-Wen, 2017. "A customized two-dimensional extended warranty with preventive maintenance," European Journal of Operational Research, Elsevier, vol. 257(3), pages 971-978.
    2. Toshio Nakagawa, 2014. "Random Maintenance Policies," Springer Series in Reliability Engineering, Springer, edition 127, number 978-1-4471-6575-0, December.
    3. Wang, Xiaolin & Zhao, Xiujie & Liu, Bin, 2020. "Design and pricing of extended warranty menus based on the multinomial logit choice model," European Journal of Operational Research, Elsevier, vol. 287(1), pages 237-250.
    4. Renyan Jiang, 2015. "Introduction to Quality and Reliability Engineering," Springer Series in Reliability Engineering, Springer, edition 127, number 978-3-662-47215-6, December.
    5. Wang, Jiantai & Zhou, Shihan & Peng, Rui & Qiu, Qingan & Yang, Li, 2023. "An inspection-based replacement planning in consideration of state-driven imperfect inspections," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    6. Chen, Yuan & Qiu, Qingan & Zhao, Xian, 2022. "Condition-based opportunistic maintenance policies with two-phase inspections for continuous-state systems," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    7. Qingan Qiu & Lirong Cui & Dejing Kong, 2019. "Availability analysis and optimal inspection policy for systems with neglected down time," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(11), pages 2787-2809, June.
    8. Hongzhou Wang & Hoang Pham, 2006. "Reliability and Optimal Maintenance," Springer Series in Reliability Engineering, Springer, number 978-1-84628-325-3, December.
    9. Zhi‐Sheng Ye & Min Xie, 2015. "Rejoinder to ‘Stochastic modelling and analysis of degradation for highly reliable products’," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(1), pages 35-36, January.
    10. Zhi‐Sheng Ye & Min Xie, 2015. "Stochastic modelling and analysis of degradation for highly reliable products," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(1), pages 16-32, January.
    11. Liu, Bin & Wu, Jun & Xie, Min, 2015. "Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty," European Journal of Operational Research, Elsevier, vol. 243(3), pages 874-882.
    12. Wu, Chin-Chun & Chou, Chao-Yu & Huang, Chikong, 2007. "Optimal burn-in time and warranty length under fully renewing combination free replacement and pro-rata warranty," Reliability Engineering and System Safety, Elsevier, vol. 92(7), pages 914-920.
    13. Wang, Jingjing & Qiu, Qingan & Wang, Huanhuan & Lin, Cong, 2021. "Optimal condition-based preventive maintenance policy for balanced systems," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    14. Qiu, Qingan & Cui, Lirong, 2019. "Optimal mission abort policy for systems subject to random shocks based on virtual age process," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 11-20.
    15. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George, 2019. "Extended optimal preventive replacement policies with random working cycle," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 398-415.
    16. Zhao, Xian & Fan, Yu & Qiu, Qingan & Chen, Ke, 2021. "Multi-criteria mission abort policy for systems subject to two-stage degradation process," European Journal of Operational Research, Elsevier, vol. 295(1), pages 233-245.
    17. Qiu, Qingan & Cui, Lirong & Wu, Bei, 2020. "Dynamic mission abort policy for systems operating in a controllable environment with self-healing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
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