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Warranty analysis of a two-component system with type I stochastic dependence

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Listed:
  • Nan Zhang
  • Mitra Fouladirad
  • Anne Barros

Abstract

This article develops the warranty cost analysis of a two-component in-series system with stochastic dependence. From the perspectives of both the manufacturer and the consumer, the short-run total profits and costs under the non-renewing free replacement (non-renewing free replacement warranty) policy and the renewing free replacement warranty policy are derived, respectively. Numerical examples are given showing the impact of the failure dependence to both the consumer and the manufacturer.

Suggested Citation

  • 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.
    • Handle: RePEc:sae:risrel:v:232:y:2018:i:3:p:274-283
    DOI: 10.1177/1748006X17742775
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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. Murthy, D. N. P. & Djamaludin, I., 2002. "New product warranty: A literature review," International Journal of Production Economics, Elsevier, vol. 79(3), pages 231-260, October.
    3. Wu, Shaomin & Longhurst, Phil, 2011. "Optimising age-replacement and extended non-renewing warranty policies in lifecycle costing," International Journal of Production Economics, Elsevier, vol. 130(2), pages 262-267, April.
    4. Li, Heping & Deloux, Estelle & Dieulle, Laurence, 2016. "A condition-based maintenance policy for multi-component systems with Lévy copulas dependence," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 44-55.
    5. Chien, Yu-Hung, 2008. "A general age-replacement model with minimal repair under renewing free-replacement warranty," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1046-1058, May.
    6. Chien, Yu-Hung, 2010. "Optimal age for preventive replacement under a combined fully renewable free replacement with a pro-rata warranty," International Journal of Production Economics, Elsevier, vol. 124(1), pages 198-205, March.
    7. Jung, Ki Mun & Park, Minjae & Park, Dong Ho, 2010. "System maintenance cost dependent on life cycle under renewing warranty policy," Reliability Engineering and System Safety, Elsevier, vol. 95(7), pages 816-821.
    8. Anne Barros & Christophe Bérenguer & Antoine Grall, 2006. "A maintenance policy for two-unit parallel systems based on imperfect monitoring information," Post-Print hal-02284315, HAL.
    9. Liu, Bin & Wu, Jun & Xie, Min, 2015. "Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty," European Journal of Operational Research, Elsevier, vol. 243(3), pages 874-882.
    10. Darghouth, M.N. & Chelbi, Anis & Ait-kadi, Daoud, 2012. "A profit assessment model for equipment inspection and replacement under renewing free replacement warranty policy," International Journal of Production Economics, Elsevier, vol. 135(2), pages 899-906.
    11. Bai, Jun & Pham, Hoang, 2006. "Cost analysis on renewable full-service warranties for multi-component systems," European Journal of Operational Research, Elsevier, vol. 168(2), pages 492-508, January.
    12. 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.
    13. Murthy, D. N. P. & Blischke, W. R., 1992. "Product warranty management -- III: A review of mathematical models," European Journal of Operational Research, Elsevier, vol. 63(1), pages 1-34, November.
    14. 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.
    15. van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
    16. Murthy, D. N. P. & Blischke, W. R., 1992. "Product warranty management -- II: An integrated framework for study," European Journal of Operational Research, Elsevier, vol. 62(3), pages 261-281, November.
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