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| Multivariate Statistical Process Diagnosis Based on Path Diagram |
| CHEN Wenduo ,MIAO Rui ,ZHAO Yanzheng,JIANG Zhibin |
| (School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China) |
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Abstract In view of the diagnosis of outofcontrol signals in multivariate statistical process control charts, a method of multivariate process diagnosis based on path diagram was proposed. Utilizing the quantitative causation among variables given by the path diagram, a simultaneous equation model could be obtained by establishing the linear regression equations for all variables independently. Then, the simultaneous equation model was applied to derive a uniform decomposition for T2 statistic. And the control limits for all decomposition terms were given as the standards of judging the root causes contributing to the outofcontrol signals. Simulation studies for a system consisting of three variables were carried out to demonstrate that the proposed method is reasonable.
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Received: 04 November 2009
Published: 31 December 2010
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| [1] |
LI Sike,MIAO Rui,ZHAO Yanzheng,JIANG Zhibin
. Optimal Sensor Distribution in Multistation Manufacturing Systems for Variance Detection
[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(12): 1753-1757. |
| [2] |
LI Sike,MIAO Rui,ZHAO Yanzheng，JIANG Zhibin. Multivariate Exponentially Weighted Moving Average Control of Error Sources in Batch Production of Parts [J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(04): 489-0494. |
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