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Optimal burn-in time and warranty length under fully renewing combination free replacement and pro-rata warranty

Author

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  • Wu, Chin-Chun
  • Chou, Chao-Yu
  • Huang, Chikong

Abstract

Warranty is an important factor of marketing products; however, warranty always involves additional costs to the seller and these costs usually depend on product reliability. Burn-in is considered as a part of the production process in which the manufactured products are operated under accelerated stresses for a short time period before their release and has been applied as a way for enhancing product reliability. In the present paper, a cost model is developed to determine the optimal burn-in time and warranty length for non-repairable products under the fully renewing combination free replacement and pro-rata warranty (FRW/PRW) policy. Denoting w as the warranty length of the product, under the FRW/PRW policy, the seller agrees to replace the product that fails prior to the time point w′, where w′

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:92:y:2007:i:7:p:914-920
    DOI: 10.1016/j.ress.2006.05.017
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    References listed on IDEAS

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    1. Mitra, Amitava & Patankar, Jayprakash G., 1997. "Market share and warranty costs for renewable warranty programs," International Journal of Production Economics, Elsevier, vol. 50(2-3), pages 155-168, June.
    2. Sheu, Shey-Huei & Chien, Yu-Hung, 2005. "Optimal burn-in time to minimize the cost for general repairable products sold under warranty," European Journal of Operational Research, Elsevier, vol. 163(2), pages 445-461, June.
    3. 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.
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    Citations

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    Cited by:

    1. Yang, Duo & He, Zhen & He, Shuguang, 2016. "Warranty claims forecasting based on a general imperfect repair model considering usage rate," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 147-154.
    2. Lo, Hui-Chiung & Yu, Rouh-Yun, 2013. "A study of quality management strategy for reused products," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 172-177.
    3. 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).
    4. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    5. Liang, Xiaojun & Cui, Lirong & Wang, Ruiting, 2024. "Non-renewable warranty cost analysis for dependent series configuration with distinct warranty periods," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
    6. Wu, Shaomin, 2011. "Warranty claim analysis considering human factors," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 131-138.
    7. 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).
    8. 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.
    9. M Shafiee & M Finkelstein & S Chukova, 2011. "Burn-in and imperfect preventive maintenance strategies for warranted products," Journal of Risk and Reliability, , vol. 225(2), pages 211-218, June.
    10. 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.
    11. 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).
    12. Nan Zhang & Mitra Fouladirad & Anne Barros, 2018. "Warranty analysis of a two-component system with type I stochastic dependence," Journal of Risk and Reliability, , vol. 232(3), pages 274-283, June.
    13. Rezapour, Shabnam & Allen, Janet K. & Mistree, Farrokh, 2016. "Reliable product-service supply chains for repairable products," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 299-321.
    14. Cha, Ji Hwan & Finkelstein, Maxim, 2015. "Environmental stress screening modelling, analysis and optimization," Reliability Engineering and System Safety, Elsevier, vol. 139(C), pages 149-155.
    15. Zuoxiang, Peng & Weng, Zhichao & Nadarajah, Saralees, 2010. "Rates of convergence of extremes for mixed exponential distributions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 92-99.
    16. 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.

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    Keywords

    Burn-in; Warranty; Cost; Failure time;
    All these keywords.

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