Bayesian monitoring to detect a shift in process mean

A Bayesian analogue of the Shewhart X-bar chart is defined and compared with cumulative sum charts. The comparison identifies types of production process where the Bayesian chart has better expected performance than the cumulative sum chart. Implementing the Bayesian chart requires more detailed knowledge of the process structure than is required by the best-known types of charts, but acquiring this information can yield tangible benefits. Copyright © 2007 John Wiley & Sons, Ltd.

[1]  Charles W. Champ,et al.  Attribute Charts for Monitoring a Dependent Process , 2007, Qual. Reliab. Eng. Int..

[2]  Harriet Black Nembhard,et al.  Cuscore Statistics to Monitor a Non-stationary System , 2007, Qual. Reliab. Eng. Int..

[3]  Joseph J. Pignatiello,et al.  Estimating the Change Point of the Process Fraction Non‐conforming with a Monotonic Change Disturbance in SPC , 2007, Qual. Reliab. Eng. Int..

[4]  Shuohui Chen,et al.  Cuscore control charts for generalized feedback-control systems , 2007, Qual. Reliab. Eng. Int..

[5]  Richard L. Marcellus.  Bayesian Statistical Process Control , 2007 .

[6]  George Tagaras,et al.  A dynamic programming approach to the economic design of X-charts , 1994 .

[7]  Connie M. Borror,et al.  A Hybrid SPC Method with the Chi‐Square Distance Monitoring Procedure for Large‐scale, Complex Process Data , 2006, Qual. Reliab. Eng. Int..

[8]  Acheson J. Duncan,et al.  The Economic Design of X Charts Used to Maintain Current Control of a Process , 1956 .

[9]  Zachary G. Stoumbos,et al.  Economic statistical design of adaptive control schemes for monitoring the mean and variance: An application to analyzers , 2005 .

[10]  Richard L. Marcellus.  Performance Measures for ―X Charts with Asymmetric Control Limits , 2006, Qual. Reliab. Eng. Int..

[11]  Richard L. Marcellus.  On Statistical Process Control Design , 2006 .

[12]  George C. Runger,et al.  Relationships Among Control Charts Used with Feedback Control , 2006, Qual. Reliab. Eng. Int..

[13]  James M. Lucas,et al.  Exponentially weighted moving average control schemes: Properties and enhancements , 1990 .

[14]  George Tagaras,et al.  Dynamic control charts for finite production runs , 1996 .

[15]  Joseph J. Pignatiello,et al.  Estimating the Change Point of a Poisson Rate Parameter with a Linear Trend Disturbance , 2006, Qual. Reliab. Eng. Int..

[16]  George Rigas,et al.  Using economically designed Shewhart and adaptive ―X charts for monitoring the quality of tiles , 2007, Qual. Reliab. Eng. Int..

[17]  Shey-Huei Sheu,et al.  Economic design of the integrated multivariate EPC and multivariate SPC charts , 2007, Qual. Reliab. Eng. Int..

[18]  Harriet Black Nembhard,et al.  Directed monitoring using Cuscore charts for seasonal time series , 2007, Qual. Reliab. Eng. Int..

[19]  Ruey-Shiang Guh,et al.  On‐line Identification and Quantification of Mean Shifts in Bivariate Processes using a Neural Network‐based Approach , 2007, Qual. Reliab. Eng. Int..

[20]  Smiley W. Cheng,et al.  Single Variables Control Charts: an Overview , 2006, Qual. Reliab. Eng. Int..

[21]  T. McWilliams.  Economic Control Chart Designs and the In-Control Time Distribution: A Sensitivity Study , 1989 .

[22]  Jaap E. Wieringa,et al.  Individuals Charts and Additional Tests for Changes in Spread , 2006, Qual. Reliab. Eng. Int..

[23]  Sheng Zhang,et al.  A CUSUM scheme with variable sample sizes and sampling intervals for monitoring the process mean and variance , 2007, Qual. Reliab. Eng. Int..

[24]  E. S. Page.  CONTINUOUS INSPECTION SCHEMES , 1954 .

[25]  Bo Bergman,et al.  An EWMA Solution to Detect Shifts in a Bernoulli Process in an Out‐of‐control Environment , 2006, Qual. Reliab. Eng. Int..

[26]  Stefano Barone,et al.  A statistical monitoring approach for automotive on‐board diagnostic systems , 2007, Qual. Reliab. Eng. Int..

[27]  M. A. Girshick,et al.  A BAYES APPROACH TO A QUALITY CONTROL MODEL , 1952 .

[28]  Kostas Triantafyllopoulos,et al.  Multivariate Control Charts Based on Bayesian State Space Models , 2006, Qual. Reliab. Eng. Int..

[29]  Rassoul Noorossana,et al.  Effect of Autocorrelation on Performance of the MCUSUM Control Chart , 2006, Qual. Reliab. Eng. Int..

[30]  W. J. Padgett,et al.  A Bootstrap Control Chart for Weibull Percentiles , 2006, Qual. Reliab. Eng. Int..

[31]  Wei Jiang,et al.  A Comparative Study of Joint Monitoring Schemes for APC Processes , 2006, Qual. Reliab. Eng. Int..

[32]  William H. Woodall,et al.  The State of Statistical Process Control as We Proceed into the 21st Century , 2000 .

[33]  Paul S. Ray,et al.  Control Charts for Monitoring Field Failure Data , 2006, Qual. Reliab. Eng. Int..