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On optimal preventive-maintenance policy for generalized Polya process repairable products under free-repair warranty

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  • Chien, Yu-Hung
  • Zhang, Zhe George
  • Yin, Xiaoling

Abstract

This paper focuses on analyzing the cost behavior of a free-repair warranty (FRW) policy with a preventive maintenance (PM) schedule for a complex product. We utilize a generalized Polya process to model the more general failure and repairs during the FRW coverage period. The expected cost function of the FRW with PMs is derived. We firstly prove that a unique optimal PM schedule exists for a FRW with a finite number of PMs, and then propose a search algorithm for computing the optimal number of PMs and their implementation times for a given FRW coverage period. A certain amount of numerical analysis is conducted to gain further insights into the FRW with PMs. Owing to the significant cost-saving advantages of scheduling PMs for the FRW, our study offers an important analytical tool for marketing managers in the design of more competitive and cost-effective warranty policies for complex and durable products.

Suggested Citation

  • Chien, Yu-Hung & Zhang, Zhe George & Yin, Xiaoling, 2019. "On optimal preventive-maintenance policy for generalized Polya process repairable products under free-repair warranty," European Journal of Operational Research, Elsevier, vol. 279(1), pages 68-78.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:1:p:68-78
    DOI: 10.1016/j.ejor.2019.03.042
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    References listed on IDEAS

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    1. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    2. Ki Mun Jung & Minjae Park & Dong Ho Park, 2012. "Optimal maintenance strategy for non‐renewing replacement–repair warranty," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 28(6), pages 607-614, November.
    3. Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.
    4. Chien, Yu-Hung, 2012. "The effects of a free-repair warranty on the discrete-time periodic replacement policy," International Journal of Production Economics, Elsevier, vol. 135(2), pages 832-839.
    5. Minjae Park & Hoang Pham, 2011. "Maintenance and Warranty Concepts," Springer Series in Reliability Engineering, in: Hoang Pham (ed.), Safety and Risk Modeling and Its Applications, pages 101-122, Springer.
    6. Yeh, Ruey Huei & Chen, Ming-Yuh & Lin, Chen-Yi, 2007. "Optimal periodic replacement policy for repairable products under free-repair warranty," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1678-1686, February.
    7. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    8. Cha, Ji Hwan & Finkelstein, Maxim, 2016. "On information-based warranty policy for repairable products from heterogeneous populationAuthor-Name: Lee, Hyunju," European Journal of Operational Research, Elsevier, vol. 253(1), pages 204-215.
    9. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    10. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    11. Yeh, Ruey Huei & Lo, Hui-Chiung, 2001. "Optimal preventive-maintenance warranty policy for repairable products," European Journal of Operational Research, Elsevier, vol. 134(1), pages 59-69, October.
    12. Chukova, S. & Arnold, R. & Wang, Dong Q., 2004. "Warranty analysis: An approach to modeling imperfect repairs," International Journal of Production Economics, Elsevier, vol. 89(1), pages 57-68, May.
    13. Blischke, W. R. & Murthy, D. N. P., 1992. "Product warranty management -- I: A taxonomy for warranty policies," European Journal of Operational Research, Elsevier, vol. 62(2), pages 127-148, October.
    14. Toshio Nakagawa, 2005. "Maintenance Theory of Reliability," Springer Series in Reliability Engineering, Springer, number 978-1-84628-221-8, March.
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    4. Huang, Yeu-Shiang & Fang, Chih-Chiang & Lu, Chang-Ming & (Bill) Tseng, Tzu-Liang, 2022. "Optimal Warranty Policy for Consumer Electronics with Dependent Competing Failure Processes," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    5. 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.
    6. 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).
    7. Shang, Lijun & Liu, Baoliang & Qiu, Qingan & Yang, Li, 2023. "Three-dimensional warranty and post-warranty maintenance of products with monitored mission cycles," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    8. Afsahi, Mohsen & Shafiee, Mahmood, 2020. "A stochastic simulation-optimization model for base-warranty and extended-warranty decision-making of under- and out-of-warranty products," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    9. Wang, Xiaolin & Li, Lishuai & Xie, Min, 2020. "An unpunctual preventive maintenance policy under two-dimensional warranty," European Journal of Operational Research, Elsevier, vol. 282(1), pages 304-318.
    10. Zhao, Xiujie & Liu, Bin & Xu, Jianyu & Wang, Xiao-Lin, 2023. "Imperfect maintenance policies for warranted products under stochastic performance degradation," European Journal of Operational Research, Elsevier, vol. 308(1), pages 150-165.
    11. Amel Ben Mabrouk & Anis Chelbi & Mohamed Salah Aguir & Sofiene Dellagi, 2024. "Optimal Maintenance Policy for Equipment Submitted to Multi-Period Leasing as a Circular Business Model," Sustainability, MDPI, vol. 16(12), pages 1-14, June.
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