Performance Evaluation of Simple Linear Profile Monitoring Methods in Two-Stage Processes

Document Type : Original Article

Authors

1 Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran

2 Islamic Azad University, South Tehran Branch, Iran

Abstract
Nowadays, many products are the outputs of multi-stage processes. In such processes, the stages are often interdependent, meaning that the quality of the product in a particular stage depends not only on the quality in the current stage but also on the quality of the product in the previous stages. This phenomenon is referred to as the cascading property of multi-stage processes. The existence of this property and the lack of attention to it can lead to errors in interpreting the control charts used in the stages. Therefore, in the literature on multi-stage process monitoring, methods have been proposed to reduce or eliminate this problem. On the other hand, in some cases, the quality of a product is described by the relationship between a response variable and one or more independent variables, known as a profile, which can be the result and output of a multi-stage process. Since fewer studies have been conducted on monitoring profiles resulting from multi-stage processes, this paper investigates the effect of the cascading property on the monitoring of simple linear profiles in a two-stage process, based on the average run length criterion using simulation, and also examines the effect of inter-stage dependency on the estimation of the profile parameters of the second stage.

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