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Cost-effective degradation test plan for a nonlinear random-coefficients model

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  • Kim, Seong-Joon
  • Bae, Suk Joo

Abstract

The determination of requisite sample size and the inspection schedule considering both testing cost and accuracy has been an important issue in the degradation test. This paper proposes a cost-effective degradation test plan in the context of a nonlinear random-coefficients model, while meeting some precision constraints for failure-time distribution. We introduce a precision measure to quantify the information losses incurred by reducing testing resources. The precision measure is incorporated into time-varying cost functions to reflect real circumstances. We apply a hybrid genetic algorithm to general cost optimization problem with reasonable constraints on the level of testing precision in order to determine a cost-effective inspection scheme. The proposed method is applied to the degradation data of plasma display panels (PDPs) following a bi-exponential degradation model. Finally, sensitivity analysis via simulation is provided to evaluate the robustness of the proposed degradation test plan.

Suggested Citation

  • Kim, Seong-Joon & Bae, Suk Joo, 2013. "Cost-effective degradation test plan for a nonlinear random-coefficients model," Reliability Engineering and System Safety, Elsevier, vol. 110(C), pages 68-79.
    • Handle: RePEc:eee:reensy:v:110:y:2013:i:c:p:68-79
    DOI: 10.1016/j.ress.2012.09.010
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    References listed on IDEAS

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    1. Kuhn, E. & Lavielle, M., 2005. "Maximum likelihood estimation in nonlinear mixed effects models," Computational Statistics & Data Analysis, Elsevier, vol. 49(4), pages 1020-1038, June.
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    Cited by:

    1. Guida, Maurizio & Postiglione, Fabio & Pulcini, Gianpaolo, 2015. "A random-effects model for long-term degradation analysis of solid oxide fuel cells," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 88-98.
    2. Baussaron, Julien & Mihaela, Barreau & Léo, Gerville-Réache & Fabrice, Guérin & Paul, Schimmerling, 2014. "Reliability assessment based on degradation measurements: How to compare some models?," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 236-241.
    3. Ahmed, Hussam & Chateauneuf, Alaa, 2014. "Optimal number of tests to achieve and validate product reliability," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 242-250.
    4. Kim, Seong-Joon & Mun, Byeong Min & Bae, Suk Joo, 2019. "A cost-driven reliability demonstration plan based on accelerated degradation tests," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 226-239.

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