Optimal Design for Gamma Degradation Processes with Random Effects
學年 100
學期 2
出版(發表)日期 2012-06-01
作品名稱 Optimal Design for Gamma Degradation Processes with Random Effects
作品名稱(其他語言)
著者 Tsai, Chih-chun; Tseng, Sheng-tsaing; Narayanaswamy Balakrishnan
單位 淡江大學數學學系
出版者 Piscataway: Institute of Electrical and Electronics Engineers
著錄名稱、卷期、頁數 IEEE Transactions on Reliability 61(2), pp.604-613
摘要 Degradation models are usually used to provide information about the reliability of highly reliable products that are not likely to fail within a reasonable period of time under traditional life tests, or even accelerated life tests. The gamma process is a natural model for describing degradation paths, which exhibit a monotone increasing pattern, while the commonly used Wiener process is not appropriate in such a case. We discuss the problem of optimal design for degradation tests based on a gamma degradation process with random effects. To conduct a degradation experiment efficiently, several decision variable (such as the sample size, inspection frequency, and measurement numbers) need to be determined carefully. These decition variables affect not only the experimental cost, but also the precision of the estimates of lifetime parameters of interest. Under the constraint that the total experimental cost does not exceed a pre-specified budget, the optimal decision variables are found by minimizing the asymptotic variance of the estimate of the 100p-th percentile of the lifetime distribution of the product. Laser data are used to illustrate the proposed method. Moreover, we assess analytically the effects of model mis-specification that occur when the random effects are not taken into consideration in the gamma degradation model.The numerical results of these effects reveal that the impact of model mis-specification on the accuracy and precision of prediction of percentiles of the lifetimes of products are somewhat serious for the tail probabilities. A simulation study also shows that the simulated values are quite close to the asymptotic values.
關鍵字 Asymptotic normality; gamma process; model mis-specification; optimal design; random effects
語言 en
ISSN 0018-9529
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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