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    Title: Optimal burn-in policy for highly reliable products using gamma degradation process
    Authors: Tseng, Sheng-tsaing;Balakrishnan, N.;Tsai, Chih-chun
    Contributors: 淡江大學數學學系
    Keywords: Burn-in test;degradation model;gamma process;highly reliable products;mixture distribution;Wiener process
    Date: 2011-03
    Issue Date: 2011-09-29 20:55:16 (UTC+8)
    Publisher: IEEE Reliability Society
    Abstract: Burn-in test is a manufacturing process applied to
    products to eliminate latent failures or weak components in the factory before the products reach customers. The traditional burn-in test over a short period of time to collect time-to-failure or go/no-go data is rather inefficient. This decision problem can be solved if there exists a suitable quality characteristic (QC) whose degradation over time can be related to the lifetime of the product. Recently, optimal burn-in policies have been discussed in the literature assuming that the underlying degradation path follows a Wiener process. However, the degradation model of many materials (especially in the case of fatigue data) may be more appropriately modeled by a gamma process that exhibits a monotone-increasing pattern. Here, motivated by laser data, we first -propose a mixed gamma process to describe the degradation path of the product. Next, we present a decision rule for classifying a unit as typical or weak. A cost model is used to determine the optimal termination time of a burn-in test, and a motivating example is then presented to illustrate the proposed procedure. Finally, a simulation study is carried out to examine the effect of wrongly treating a mixed gamma process as a mixed Wiener process, and the obtained results reveal that the effect on the probabilities of misclassification is not negligible.
    Relation: IEEE Transactions on Reliability 60(1), pp.234-245
    DOI: 10.1109/TR.2010.2087430
    Appears in Collections:[數學學系暨研究所] 期刊論文

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