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An adaptive lot-traceability sampling plan for Weibull distributed lifetime with warranty return rate consideration and a smart information system

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  • Chien-Wei Wu

    (National Tsing Hua University)

  • Ming-Hung Shu

    (National Kaohsiung University of Science and Technology)

  • To-Cheng Wang

    (National Kaohsiung University of Science and Technology
    Republic of China Air Force Academy)

Abstract

In today's highly competitive market, product warranty is a critical tool that companies use to showcase their product quality and reliability. Companies need to verify and validate product lifetimes to control warranty costs and maintain brand reputation. The reliability acceptance sampling plan is a practical tool for practitioners to validate product lifetimes and determine lot disposition. However, the traditional plan's efficiency decreases as more historical reliability information is included in the decision rule. This paper introduces an adaptive lot-traceability sampling plan (ALSP) that overcomes this limitation by employing a more flexible lot-traceability mechanism. The proposed ALSP can sustainably increase efficiency by accommodating more historical reliability information, resulting in significantly reduced product failures required for life testing. Furthermore, it has superior discriminating power regarding the degradation of lot reliability compared to the existing plan. We also provide an interactive user interface in the form of a smart information system to guide practitioners in designing optimal plans easily. Finally, we illustrate the applicability of the proposed ALSP in an industrial case study.

Suggested Citation

  • Chien-Wei Wu & Ming-Hung Shu & To-Cheng Wang, 2025. "An adaptive lot-traceability sampling plan for Weibull distributed lifetime with warranty return rate consideration and a smart information system," Annals of Operations Research, Springer, vol. 349(1), pages 87-101, June.
    • Handle: RePEc:spr:annopr:v:349:y:2025:i:1:d:10.1007_s10479-023-05438-8
    DOI: 10.1007/s10479-023-05438-8
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    References listed on IDEAS

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    1. Keyuan Cai & Zhen He & Yaqi Lou & Shuguang He, 2020. "Risk-aversion information in a supply chain with price and warranty competition," Annals of Operations Research, Springer, vol. 287(1), pages 61-107, April.
    2. Huang, Hongfu & Liu, Feng & Zhang, Peng, 2021. "To outsource or not to outsource? Warranty service provision strategies considering competition, costs and reliability," International Journal of Production Economics, Elsevier, vol. 242(C).
    3. To-Cheng Wang & Chien-Wei Wu & Ming-Hung Shu, 2022. "A variables-type multiple-dependent-state sampling plan based on the lifetime performance index under a Weibull distribution," Annals of Operations Research, Springer, vol. 311(1), pages 381-399, April.
    4. Zheng, Huiling & Yang, Jun & Xu, Houbao & Zhao, Yu, 2023. "Reliability acceptance sampling plan for degraded products subject to Wiener process with unit heterogeneity," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
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