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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. 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.
    2. 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.
    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. 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).
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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).
    8. 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).
    9. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    10. 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.
    11. 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.
    12. Wu, Shaomin, 2011. "Warranty claim analysis considering human factors," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 131-138.
    13. 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.
    14. 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.
    15. 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;
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