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Optimal step-stress accelerated degradation test plans for inverse Gaussian process based on proportional degradation rate model
Authors:Fengjun Duan
Institution:School of Mathematics, Southeast University, Nanjing, People's Republic of China
Abstract:The purpose of this paper is to address the optimal design of the step-stress accelerated degradation test (SSADT) issue when the degradation process of a product follows the inverse Gaussian (IG) process. For this design problem, an important task is to construct a link model to connect the degradation magnitudes at different stress levels. In this paper, a proportional degradation rate model is proposed to link the degradation paths of the SSADT with stress levels, in which the average degradation rate is proportional to an exponential function of the stress level. Two optimization problems about the asymptotic variances of the lifetime characteristics' estimators are investigated. The optimal settings including sample size, measurement frequency and the number of measurements for each stress level are determined by minimizing the two objective functions within a given budget constraint. As an example, the sliding metal wear data are used to illustrate the proposed model.
Keywords:Inverse Gaussian process  step-stress accelerated degradation test  proportional degradation rate model  optimal test plan  asymptotic variance  traversal search algorithm
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