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Optimization of periodic preventive maintenance policy following the expiration of two-dimensional warranty

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  • Park, Minjae
  • Jung, Ki Mun
  • Park, Dong Ho

Abstract

This paper considers an optimal periodic preventive maintenance policy after the expiration of two-dimensional warranty. During the two-dimensional warranty period, both renewal warranty and nonrenewal warranty are considered and a repair time threshold is pre-specified so that the failed system is either minimally repaired or is replaced depending on whether the length of repair time exceeds the repair time threshold or not. After the warranty expires, the system undergoes the preventive maintenance periodically a fixed number of times by the user to prolong the life of the system and then the system is replaced preventively by a new one. In this study, we develop an optimal post-warranty periodic preventive maintenance strategy by minimizing the expected cost rate incurred during the life cycle of the system. From the user's perspective, the system is maintained free of charge or with prorated charge on the failed system during the warranty period. Once the warranty expires, the maintenance cost of the system is entirely charged to the user. Subject to such a cost structure, we derive the formula to evaluate the expected cost rate, which is used as an objective function for the optimality. The main goal of this paper is to determine an optimal preventive maintenance cycle after the warranty expires and thus to propose an optimal post-warranty strategy for the user. The effect of several parameters on the optimal strategy is also investigated numerically in this study. For the purpose of illustration of our proposed model, we present and discuss some numerical examples.

Suggested Citation

  • Park, Minjae & Jung, Ki Mun & Park, Dong Ho, 2018. "Optimization of periodic preventive maintenance policy following the expiration of two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 1-9.
    • Handle: RePEc:eee:reensy:v:170:y:2018:i:c:p:1-9
    DOI: 10.1016/j.ress.2017.10.009
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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. Su, Chun & Wang, Xiaolin, 2016. "A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty," Reliability Engineering and System Safety, Elsevier, vol. 155(C), pages 169-178.
    3. Wang, Jinting & Zhou, Zhuang & Peng, Hao, 2017. "Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 162(C), pages 14-27.
    4. Jung, M. & Bai, D.S., 2007. "Analysis of field data under two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 135-143.
    5. Huang, Yeu-Shiang & Gau, Wei-Yo & Ho, Jyh-Wen, 2015. "Cost analysis of two-dimensional warranty for products with periodic preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 51-58.
    6. Park, Minjae & Mun Jung, Ki & Park, Dong Ho, 2013. "Optimal post-warranty maintenance policy with repair time threshold for minimal repair," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 147-153.
    7. Wang, Yukun & Liu, Zixian & Liu, Yiliu, 2015. "Optimal preventive maintenance strategy for repairable items under two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 326-333.
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    Cited by:

    1. Zhu, Xiaoyan & Jiao, Can & Yuan, Tao, 2019. "Optimal decisions on product reliability, sales and promotion under nonrenewable warranties," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    2. Mitra, Amitava, 2021. "Warranty parameters for extended two-dimensional warranties incorporating consumer preferences," European Journal of Operational Research, Elsevier, vol. 291(2), pages 525-535.
    3. Karar, Ahmed Noaman & Labib, Ashraf & Jones, Dylan, 2023. "Post-warranty maintenance strategy selection using shape packages process," International Journal of Production Economics, Elsevier, vol. 255(C).
    4. Shang, Lijun & Liu, Baoliang & Qiu, Qingan & Yang, Li & Du, Yongjun, 2023. "Designing warranty and maintenance policies for products subject to random working cycles," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    5. Ágota Bányai, 2021. "Energy Consumption-Based Maintenance Policy Optimization," Energies, MDPI, vol. 14(18), pages 1-33, September.
    6. Mateusz Oszczypała & Jarosław Ziółkowski & Jerzy Małachowski, 2023. "Modelling the Operation Process of Light Utility Vehicles in Transport Systems Using Monte Carlo Simulation and Semi-Markov Approach," Energies, MDPI, vol. 16(5), pages 1-31, February.
    7. Lijun Shang & Guojun Shang & Yongjun Du & Qingan Qiu & Li Yang & Qinglai Dong, 2022. "Post-Warranty Replacement Models for the Product under a Hybrid Warranty," Mathematics, MDPI, vol. 10(10), pages 1-18, May.
    8. Wang, Yukun & Liu, Yiliu & Li, Xiaopeng & Chen, Junyan, 2019. "Multi-phase reliability growth test planning for repairable products sold with a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 315-326.
    9. Yongjun Du & Lijun Shang & Qingan Qiu & Li Yang, 2022. "Optimum Post-Warranty Maintenance Policies for Products with Random Working Cycles," Mathematics, MDPI, vol. 10(10), pages 1-16, May.
    10. Lin, Boliang & Wu, Jianping & Lin, Ruixi & Wang, Jiaxi & Wang, Hui & Zhang, Xuhui, 2019. "Optimization of high-level preventive maintenance scheduling for high-speed trains," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 261-275.
    11. Peng, Shizhe & Jiang, Wei & Wei, Lai & Wang, Xiao-Lin, 2022. "A new cost-sharing preventive maintenance program under two-dimensional warranty," International Journal of Production Economics, Elsevier, vol. 254(C).
    12. Hooti, Fatemeh & Ahmadi, Jafar & Longobardi, Maria, 2020. "Optimal extended warranty length with limited number of repairs in the warranty period," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    13. Safaei, Fatemeh & Taghipour, Sharareh, 2022. "Optimal preventive maintenance for repairable products with three types of failures sold under a renewable hybrid FRW/PRW policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    14. Lin, Boliang & Zhao, Yinan, 2021. "Synchronized optimization of EMU train assignment and second-level preventive maintenance scheduling," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    15. Liu, Peng & Wang, Guanjun & Su, Peng, 2021. "Optimal maintenance strategies for warranty products with limited repair time and limited repair number," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    16. Juhyun Lee & Byunghoon Kim & Suneung Ahn, 2019. "Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance," Mathematics, MDPI, vol. 7(8), pages 1-17, August.
    17. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    18. Yukun Wang & Yiliu Liu & Aibo Zhang, 2019. "Preventive maintenance optimization for repairable products considering two-dimensional warranty and customer satisfaction," Journal of Risk and Reliability, , vol. 233(4), pages 553-566, August.
    19. Zhang, Fengxia & Shen, Jingyuan & Ma, Yizhong, 2020. "Optimal maintenance policy considering imperfect repairs and non-constant probabilities of inspection errors," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

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