Application of Decision on Beliefs for Fault Detection in uni-variate Statistical Process Control

In this research, the decision on belief (DOB) approach was employed for fault detection in uni-variate process control. The concept of DOB and its application in decision making problems were introduced, and then methodology of modeling fault detection in statistical process control by DOB approach was discussed. In this iterative approach, the belief of being a fault in the process was updated by taking new observations on a quality characteristic using Bayesian rule and prior beliefs. If the beliefs are more than a specific threshold, then the system will be classified as an out-of-control condition. Finally, a numerical example and simulation study were provided for elaborating the application of the proposed methodology and evaluating the performance of the proposed method.