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題名 Optimal Processes Control for a Failure Mechanism
作者 楊素芬
Yang, Su-Fen
關鍵詞 Processes ; Weibull distribution ; Control charts ; Renewal theorem
日期 2003
上傳時間 19-十二月-2008 14:51:43 (UTC+8)
摘要 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.
關聯 Communications in Statistics, 32(4),1285-1314
資料類型 article
DOI http://dx.doi.org/10.1081/SAC-120023890
dc.creator (作者) 楊素芬zh_TW
dc.creator (作者) Yang, Su-Fen-
dc.date (日期) 2003en_US
dc.date.accessioned 19-十二月-2008 14:51:43 (UTC+8)-
dc.date.available 19-十二月-2008 14:51:43 (UTC+8)-
dc.date.issued (上傳時間) 19-十二月-2008 14:51:43 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/18158-
dc.description.abstract (摘要) 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.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Communications in Statistics, 32(4),1285-1314en_US
dc.subject (關鍵詞) Processes ; Weibull distribution ; Control charts ; Renewal theorem-
dc.title (題名) Optimal Processes Control for a Failure Mechanismen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1081/SAC-120023890en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1081/SAC-120023890en_US