Journal of Quality Engineering and Management

Economic-Statistical Design of Control Charts for monitoring the Process Mean with Known Standard Deviation Based on Bayesian Predictive Distribution 

Document Type : Original Article

Authors

Atefe Moradian 1
Mohammad Bameni Moghadam 2
Rahmat Shojaei Aliabadi 3

1 Master, Department of Statistics, Allameh Tabatabaʼi University, Tehran, Iran,  

2 Profesor, Department of Statistics, Allameh Tabatabaʼi University, Tehran, Iran,     

3 Phd Student, Department of Statistics, Allameh Tabatabaʼi University, Tehran, Iran,

Abstract
Extensive research has been done in the field of statistical process control. Also recently, control charts based on the Bayesian predictive distribution idea have been proposed in statistical process control texts. This idea was first proposed by Menzefricke and its parameters were considered unknown. In this paper, for the first time, statistical-economic design of control charts for monitoring the process mean with known standard deviation based on Bayesian predictive distribution is presented. According to the results presented in the article, regarding the superiority of statistical-economic design over economic design and also the superiority of Bayesian approach over the classical approach in designing control charts, it is suggested to use Bayesian control chart with statistical-economic design in controlling the process mean. 

Keywords

Quality control
Economic-statistical design
Control chart
Bayesian approach 
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Journal of Quality Engineering and Management
Volume 9, Issue 4
Winter 2020
Pages 284-294

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