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題名 Burn-in Time and Estimation of Change-Point with Weibull-Exponential Mixture Distribution
作者 唐揆
Chou, Kwei;Tang, Kwei
貢獻者 企管系
關鍵詞 Quality Control;Statistical Techniques
日期 1992-07
上傳時間 24-八月-2016 17:42:54 (UTC+8)
摘要 Many industrial products have three phases in their product lives: infant-mortality, normal, and wear-out phases. In the infant-mortality phase, the failure rate is high, but decreasing; in the normal phase, the failure rate remains constant; and in the wear-out phase, the failure rate is increasing. A burn-in procedure may be used to reduce early failures before shipping a product to consumers. A cost model is formulated to find the optimal burn-in time, which minimizes the expected sum of manufacturing cost, burn-in cost, and warranty cost incurred by failed items found during the warranty period. A mixture of Weibull hyperexponential distribution with shape parameter less than one and exponential distribution is used to describe the infant-mortality and the normal phases of the product life. The product under consideration can be either repairable or non-repairable. When the change-point of the product life distribution is unknown, it is estimated by using the maximum-likelihood estimation method. The effects of sample size on estimation error and the performance of the model are studied, and a sensitivity analysis is performed to study the effects of several parameters of the W-E distribution and costs on the optimal burn-in time.
關聯 Decision Sciences, 23(4), 973-990
資料類型 article
DOI http://dx.doi.org/10.1111/j.1540-5915.1992.tb00429.x
dc.contributor 企管系
dc.creator (作者) 唐揆zh_TW
dc.creator (作者) Chou, Kwei;Tang, Kwei
dc.date (日期) 1992-07
dc.date.accessioned 24-八月-2016 17:42:54 (UTC+8)-
dc.date.available 24-八月-2016 17:42:54 (UTC+8)-
dc.date.issued (上傳時間) 24-八月-2016 17:42:54 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/100731-
dc.description.abstract (摘要) Many industrial products have three phases in their product lives: infant-mortality, normal, and wear-out phases. In the infant-mortality phase, the failure rate is high, but decreasing; in the normal phase, the failure rate remains constant; and in the wear-out phase, the failure rate is increasing. A burn-in procedure may be used to reduce early failures before shipping a product to consumers. A cost model is formulated to find the optimal burn-in time, which minimizes the expected sum of manufacturing cost, burn-in cost, and warranty cost incurred by failed items found during the warranty period. A mixture of Weibull hyperexponential distribution with shape parameter less than one and exponential distribution is used to describe the infant-mortality and the normal phases of the product life. The product under consideration can be either repairable or non-repairable. When the change-point of the product life distribution is unknown, it is estimated by using the maximum-likelihood estimation method. The effects of sample size on estimation error and the performance of the model are studied, and a sensitivity analysis is performed to study the effects of several parameters of the W-E distribution and costs on the optimal burn-in time.
dc.format.extent 142 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Decision Sciences, 23(4), 973-990
dc.subject (關鍵詞) Quality Control;Statistical Techniques
dc.title (題名) Burn-in Time and Estimation of Change-Point with Weibull-Exponential Mixture Distribution
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1111/j.1540-5915.1992.tb00429.x
dc.doi.uri (DOI) http://dx.doi.org/10.1111/j.1540-5915.1992.tb00429.x