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Planning gamma accelerated degradation tests with two accelerating variables

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  • Hung‐Ping Tung
  • Sheng‐Tsaing Tseng

Abstract

Gamma accelerated degradation tests (ADT) are widely used to assess timely lifetime information of highly reliable products with degradation paths that follow a gamma process. In the existing literature, there is interest in addressing the problem of deciding how to conduct an efficient, ADT that includes determinations of higher stress‐testing levels and their corresponding sample‐size allocations. The existing results mainly focused on the case of a single accelerating variable. However, this may not be practical when the quality characteristics of the product have slow degradation rates. To overcome this difficulty, we propose an analytical approach to address this decision‐making problem using the case of two accelerating variables. Specifically, based on the criterion of minimizing the asymptotic variance of the estimated q quantile of lifetime distribution of the product, we analytically show that the optimal stress levels and sample‐size allocations can be simultaneously obtained via a general equivalence theorem. In addition, we use a practical example to illustrate the proposed procedure.

Suggested Citation

  • Hung‐Ping Tung & Sheng‐Tsaing Tseng, 2019. "Planning gamma accelerated degradation tests with two accelerating variables," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(5), pages 439-447, August.
  • Handle: RePEc:wly:navres:v:66:y:2019:i:5:p:439-447
    DOI: 10.1002/nav.21848
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    References listed on IDEAS

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    1. Heonsang Lim & Bong-Jin Yum, 2011. "Optimal design of accelerated degradation tests based on Wiener process models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(2), pages 309-325, September.
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