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政大典藏 > College of Commerce > Department of Business Administation > Periodical Articles > Item 140.119/100731

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/100731

Title:	Burn-in Time and Estimation of Change-Point with Weibull-Exponential Mixture Distribution
Authors:	唐揆 Chou, Kwei;Tang, Kwei
Contributors:	企管系
Keywords:	Quality Control;Statistical Techniques
Date:	1992-07
Issue Date:	2016-08-24 17:42:54 (UTC+8)
Abstract:	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.
Relation:	Decision Sciences, 23(4), 973-990
Data Type:	article
DOI link:	http://dx.doi.org/10.1111/j.1540-5915.1992.tb00429.x
DOI:	10.1111/j.1540-5915.1992.tb00429.x
Appears in Collections:	[Department of Business Administation] Periodical Articles

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