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Optimal degradation-based hybrid double-stage acceptance sampling plan for a heterogeneous product

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  • Cheng, Yao
  • Liao, Haitao
  • Huang, Zhiyi

Abstract

Units of a product, even though produced in the same batch, may perform differently due to a variety of randomness in raw materials, manufacturing process and repair actions (e.g., refurbishment). If these units are also stored for a long period of time, their key characteristics will degrade randomly during storage. As a result, the product will exhibit heterogeneous performance upon delivery. Such a heterogeneity significantly affects the product's acceptability and is one of the utmost concerns to both the producer and consumer. In this study, we propose a degradation-based hybrid double-stage acceptance sampling plan (DHDASP) to determine the acceptability for a product exhibiting heterogeneous performance. Compared to ordinary acceptance sampling plans, the new plan provides the producer with a higher likelihood of product acceptability and offers the consumer an opportunity to explore the product's operational reliability metrics without unnecessary discard of units. In practice, it will balance the benefits of the producer and consumer and meanwhile, accurately assess the product's reliability metrics under flexible testing scenarios. A numerical study verifies the advantages and higher efficiency of the DHDASP over commonly used alternatives in handling heterogeneous products.

Suggested Citation

  • Cheng, Yao & Liao, Haitao & Huang, Zhiyi, 2021. "Optimal degradation-based hybrid double-stage acceptance sampling plan for a heterogeneous product," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    • Handle: RePEc:eee:reensy:v:210:y:2021:i:c:s0951832021001010
    DOI: 10.1016/j.ress.2021.107544
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    References listed on IDEAS

    as
    1. Lu, Yaohui & Zheng, Heyan & Zeng, Jing & Chen, Tianli & Wu, Pingbo, 2019. "Fatigue life reliability evaluation in a high-speed train bogie frame using accelerated life and numerical test," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 221-232.
    2. Min Kim & Bong-Jin Yum, 2009. "Reliability acceptance sampling plans for the Weibull distribution under accelerated Type-I censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(1), pages 11-20.
    3. Wu, Shuo-Jye & Huang, Syuan-Rong, 2017. "Planning two or more level constant-stress accelerated life tests with competing risks," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 1-8.
    4. Han, David & Bai, Tianyu, 2020. "Design optimization of a simple step-stress accelerated life test – Contrast between continuous and interval inspections with non-uniform step durations," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    5. Wang, Han & Zhao, Yu & Ma, Xiaobing & Wang, Hongyu, 2017. "Optimal design of constant-stress accelerated degradation tests using the M-optimality criterion," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 45-54.
    6. Zhang, Chunhua & Lu, Xiang & Tan, Yuanyuan & Wang, Yashun, 2015. "Reliability demonstration methodology for products with Gamma Process by optimal accelerated degradation testing," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 369-377.
    7. Haitao Liao & Elsayed A. Elsayed, 2010. "Equivalent accelerated life testing plans for log‐location‐scale distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(5), pages 472-488, August.
    8. Cai, Xia & Tian, Yubin & Ning, Wei, 2019. "Change-point analysis of the failure mechanisms based on accelerated life tests," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 515-522.
    9. Chen, Jianwei & Choy, S. T. B. & Li, Kim-Hung, 2004. "Optimal Bayesian sampling acceptance plan with random censoring," European Journal of Operational Research, Elsevier, vol. 155(3), pages 683-694, June.
    10. Kim, Myung-Yeon & Chu, Dong-Ju & Lee, Young-Kook & Shim, Jae-Hyeok & Jung, Woo-Sang, 2019. "Residual lifetime assessment of cold-reheater pipe in coal-fired power plant through accelerated degradation test," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 330-335.
    11. Wang, Huan & Wang, Guan-jun & Duan, Feng-jun, 2016. "Planning of step-stress accelerated degradation test based on the inverse Gaussian process," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 97-105.
    12. Han, David, 2015. "Time and cost constrained optimal designs of constant-stress and step-stress accelerated life tests," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 1-14.
    13. Zhai, Qingqing & Chen, Piao & Hong, Lanqing & Shen, Lijuan, 2018. "A random-effects Wiener degradation model based on accelerated failure time," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 94-103.
    14. Liu, Di & Wang, Shaoping, 2021. "Reliability estimation from lifetime testing data and degradation testing data with measurement error based on evidential variable and Wiener process," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    15. Li, Zan & Wang, Fengming & Wang, Chengjie & Hu, Qingpei & Yu, Dan, 2021. "Reliability modeling and evaluation of lifetime delayed degradation process with nondestructive testing," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    16. Li, Xiaoyang & Chen, Wenbin & Sun, Fuqiang & Liao, Haitao & Kang, Rui & Li, Renqing, 2018. "Bayesian accelerated acceptance sampling plans for a lognormal lifetime distribution under Type-I censoring," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 78-86.
    17. Min Kim & Bong-Jin Yum, 2011. "Life test sampling plans for Weibull distributed lifetimes under accelerated hybrid censoring," Statistical Papers, Springer, vol. 52(2), pages 327-342, May.
    18. Ikuo Arizono & Kazunori Yoshimoto & Ryosuke Tomohiro, 2020. "Variable stage-independent double sampling plan with screening for acceptance quality loss limit inspection scheme," International Journal of Production Research, Taylor & Francis Journals, vol. 58(8), pages 2550-2559, April.
    19. Yin, Yi-Chao & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2017. "An imprecise statistical method for accelerated life testing using the power-Weibull model," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 158-167.
    20. Li, Xiaoyang & Hu, Yuqing & Zhou, Jiandong & Li, Xiang & Kang, Rui, 2018. "Bayesian step stress accelerated degradation testing design: A multi-objective Pareto-optimal approach," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 9-17.
    21. Lin, Kunsong & Chen, Yunxia & Xu, Dan, 2017. "Reliability assessment model considering heterogeneous population in a multiple stresses accelerated test," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 134-143.
    22. Ye, Zhi-Sheng & Chen, Nan & Shen, Yan, 2015. "A new class of Wiener process models for degradation analysis," Reliability Engineering and System Safety, Elsevier, vol. 139(C), pages 58-67.
    23. Seo, J.H. & Jung, M. & Kim, C.M., 2009. "Design of accelerated life test sampling plans with a nonconstant shape parameter," European Journal of Operational Research, Elsevier, vol. 197(2), pages 659-666, September.
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    1. 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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