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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/18196

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/18196

Title:	An approach to controlling two dependent process steps with autocorrelated observations
Authors:	楊素芬;Yang,C Yang, Su-Fen;Yang, Chung-Ming
Keywords:	Autocorrelated observations;Control charts;Process variation;Residuals
Date:	2006-05
Issue Date:	2008-12-19 14:54:39 (UTC+8)
Relation:	The International Journal of Advanced Manufacturing Technology, 29(1/2), 170-177
Description:	The observations from the process output are always assumed independent when using a control chart to monitor a process. However, for many processes the process observations are autocorrelated. This autocorrelation can have a significant effect on the performance of the control chart. This paper considers the problem of monitoring the mean of a quality characteristic X on the first process step and the mean of a quality characteristic Y on the second process step, in which the observations X can be modeled as an AR(1) model and observations Y can be modeled as a transfer function of X since the state of the second process step is dependent on the state of the first process step. To effectively distinguish and maintain the state of the two dependent process steps, the Shewhart control chart of residual and the cause-selecting control chart are proposed. The proposed control charts’ performance is measured by the rate of alarm on the proposed charts. From numerical analysis, it shows that the performance of the proposed control charts is much better than the misused Hotelling T2 control chart and the individual Shewhart X and Y control charts.
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1007/s00170-004-2490-z
DOI:	10.1007/s00170-004-2490-z
Appears in Collections:	[統計學系] 期刊論文

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