Development of a piecemeal regression-based approach for monitoring multiple linear profiles with phase interactions

Document Type : Original Article

Authors

1 PhD Student, Department of Industrial Engineering, Materials and Energy Research Institute, Tehran, Iran

2 Associate Professor, Shahed University, Faculty of Engineering, Department of Industrial Engineering

3 Associate Professor, Malek Ashtar University, Faculty of Industrial Engineering

4 Associate Professor, Amirkabir University of Technology, Faculty of Industrial Engineering

Abstract
In many statistical process control applications, the relationship between a response variable and one or more control variables is evaluated by a function called a profile. Profiles are divided into different types according to the nature of the response variable, such as linear and nonlinear profiles. In this research, a new control diagram based on the generalized linear test approach and fractional regression is presented to monitor multiple linear profiles with interactions in phase 2. The simulation results of the proposed control diagram show its much better performance than the control diagram based on the least squares error method.

Keywords


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