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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/18158

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/18158

Title:	Optimal Processes Control for a Failure Mechanism
Authors:	楊素芬 Yang, Su-Fen
Keywords:	Processes;Weibull distribution;Control charts;Renewal theorem
Date:	2003
Issue Date:	2008-12-19 14:51:43 (UTC+8)
Abstract:	This article considers the economic statistical process control for two dependent processes with a failure mechanism which obeys Weibull shock model and has an increasing failure rate. We construct individual economic statistical X control chart to monitor the quality variable produced by the first process, and use the cause-selecting control chart to monitor the specific quality produced by the second process with minimal cost and required statistical properties. By using the proposed control charts, we can effectively and economically distinguish which process is out of control. The renewal theorem approach is extended to construct the cost model for our proposed control charts, and optimization method is used to determine the optimal design parameters of the proposed control charts. Finally, we give an example to show how to construct and apply the proposed control charts. Sensitivity analysis that illustrates the effects of the cost and process parameters on the optimal design parameters and the minimal expected cost per unit time for the proposed control charts is also presented.
Relation:	Communications in Statistics, 32(4),1285-1314
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1081/SAC-120023890
DOI:	10.1081/SAC-120023890
Appears in Collections:	[統計學系] 期刊論文

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