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Multi-objective Bayesian Optimal Design for Accelerated Degradation Testing

In: Multicriteria and Optimization Models for Risk, Reliability, and Maintenance Decision Analysis

Author

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  • Xiao-Yang Li

    (Beihang University)

Abstract

Accelerated degradation testing (ADT) can be regarded as a scientific experimental method, which aims to recognize a performance degradation law under the influence of uncertainties by using an experimental way. How to control the uncertainties embedded in an ADT to better recognize a degradation law is one of the core tasks of an ADT. Actually, there are two kinds of uncertainties in an ADT: (i) the inherent uncertainties, which come from the unit-to-unit variation and the errors of measurement instruments and testing equipment, and (ii) the model selection uncertainties, which are due to the accelerated degradation model assumptions and the testing objective selections. In this chapter, the methodology of multi-objective Bayesian optimal design for ADT is proposed to handle these uncertainties. The objectives of the proposed optimization model consist of maximizing the KL divergence, minimizing the quadratic loss function of the q-quantile lifetime at usage condition and minimizing the test cost. Moreover, the data envelopment analysis (DEA) is further used to prune the Pareto solutions so as to find out the plan with the highest relative efficiency. Therefore, the inherent uncertainties and the model selection uncertainties can be well controlled.

Suggested Citation

  • Xiao-Yang Li, 2022. "Multi-objective Bayesian Optimal Design for Accelerated Degradation Testing," International Series in Operations Research & Management Science, in: Adiel Teixeira de Almeida & Love Ekenberg & Philip Scarf & Enrico Zio & Ming J. Zuo (ed.), Multicriteria and Optimization Models for Risk, Reliability, and Maintenance Decision Analysis, pages 321-344, Springer.
    • Handle: RePEc:spr:isochp:978-3-030-89647-8_15
    DOI: 10.1007/978-3-030-89647-8_15
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