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Warranty forecasting from incomplete two-dimensional warranty data

Author

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  • Gupta, Sanjib Kumar
  • De, Soumen
  • Chatterjee, Aditya

Abstract

Warranty modelling with incomplete data is a major issue in reliability analysis. The incomplete failure region characterized by warranty field data may be classified into several domains representing failures from manufacturing/assembly defects, usage or fatigue. In the present paper a data driven approach has been suggested to demark the regions optimally through estimation of the change point in a hazard function. In the perspective of bivariate warranty analysis, as relevant in automobiles, we have assumed the lifetime distribution to be a mixture of distributions corresponding to the burn-in period and the useful life period. The proportions of observations in different regions demarketed by the warranty policy in the bivariate plane have been estimated by considering mileage along with age. The estimation scheme has been verified and validated through extensive simulation studies. The utilities of the results have been demonstrated by addressing several issues through a real life synthetic warranty data set from a large automobile company.

Suggested Citation

  • Gupta, Sanjib Kumar & De, Soumen & Chatterjee, Aditya, 2014. "Warranty forecasting from incomplete two-dimensional warranty data," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 1-13.
    • Handle: RePEc:eee:reensy:v:126:y:2014:i:c:p:1-13
    DOI: 10.1016/j.ress.2014.01.006
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    References listed on IDEAS

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    1. 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.
    2. Jaiwook Baik & D.N. Prabhakar Murthy, 2008. "Reliability assessment based on two-dimensional warranty data and an accelerated failure time model," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 2(3), pages 190-208.
    3. J.F. Lawless, 1998. "Statistical Analysis of Product Warranty Data," International Statistical Review, International Statistical Institute, vol. 66(1), pages 41-60, April.
    4. Wu, Shaomin, 2013. "A review on coarse warranty data and analysis," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 1-11.
    5. Wu, Shaomin & Akbarov, Artur, 2012. "Forecasting warranty claims for recently launched products," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 160-164.
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    Citations

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    Cited by:

    1. Altun, Mustafa & Comert, Salih Vehbi, 2016. "A change-point based reliability prediction model using field return data," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 175-184.
    2. Chun Su & Xiaolin Wang, 2016. "Modeling flexible two-dimensional warranty contracts for used products considering reliability improvement actions," Journal of Risk and Reliability, , vol. 230(2), pages 237-247, April.
    3. Utkin, Lev V. & Coolen, Frank P.A. & Gurov, Sergey V., 2015. "Imprecise inference for warranty contract analysis," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 31-39.
    4. Kumar Gupta, Sanjib & De, Soumen & Chatterjee, Aditya, 2017. "Some reliability issues for incomplete two-dimensional warranty claims data," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 64-77.
    5. Anshu Dai & Guanzhou Wei & Zhaomin Zhang & Shuguang He, 2020. "Design of a flexible preventive maintenance strategy for two-dimensional warranted products," Journal of Risk and Reliability, , vol. 234(1), pages 74-87, February.
    6. Gupta, Sanjib Kumar & Bhattacharya, Debasis, 2022. "Non-parametric estimation of bivariate reliability from incomplete two-dimensional warranty data," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    7. 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.
    8. Lin, Kunsong & Chen, Yunxia, 2021. "Analysis of two-dimensional warranty data considering global and local dependence of heterogeneous marginals," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    9. Chehade, Abdallah & Savargaonkar, Mayuresh & Krivtsov, Vasiliy, 2022. "Conditional Gaussian mixture model for warranty claims forecasting," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    10. Ji Hwan Cha & Maxim Finkelstein, 2022. "A new warranty policy for heterogeneous items subject to monotone degradation processes," Journal of Risk and Reliability, , vol. 236(1), pages 55-65, February.
    11. Gupta, Sanjib Kumar & Chattopadhyay, Gaurangadeb, 2022. "Early detection of reliability related problems from two-dimensional warranty data considering labour code priority index," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    12. Xiaolin Wang & Wei Xie, 2018. "Two-dimensional warranty: A literature review," Journal of Risk and Reliability, , vol. 232(3), pages 284-307, June.

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