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A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty

Author

Listed:
  • Lijun Shang

    (School of Quality Management and Standardization, Foshan University, Foshan 528000, China)

  • Guojun Shang

    (Gao Tou Yao Coal Mine, North Union Electric Power Limited Liability Company, Ordos 014323, China)

  • Qingan Qiu

    (School of Management & Economics, Beijing Institute of Technology, Beijing 100081, China)

Abstract

In this study, by integrating preventive maintenance (PM) into a two-dimensional warranty region, a two-dimensional warranty with customized PM (2D warranty with customized PM) is proposed from the manufacturer’s perspective to reduce the warranty cost. The warranty cost of a 2D warranty with customized PM is derived. The manufacturer’s tradeoff between PM cost and minimal repair cost saving is obtained by choosing the proper reliability threshold and the number of customized PMs, and the advantage of a 2D warranty with customized PM is illustrated. Second, by integrating PM into the post-warranty period, a bivariate post-warranty maintenance (BPWM) policy is proposed from the consumer’s perspective to ensure the reliability of the product through the 2D warranty with customized PM. The expected cost rate model of BPWM is derived. Optimal BPWM is obtained in the numerical experiments. It is shown that a 2D warranty with customized PM is beneficial for both the manufacturer and the consumer, since both the manufacturer’s warranty cost and the consumer’s total cost are reduced.

Suggested Citation

  • Lijun Shang & Guojun Shang & Qingan Qiu, 2022. "A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty," Mathematics, MDPI, vol. 10(12), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1957-:d:833094
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    References listed on IDEAS

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    1. Lijun Shang & Baoliang Liu & Kaiye Gao & Li Yang, 2023. "Random Warranty and Replacement Models Customizing from the Perspective of Heterogeneity," Mathematics, MDPI, vol. 11(15), pages 1-22, July.

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