Control limits for monitoring the average of correlated streams

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Authors
Ribas, Clovis S.
Weheba, Gamal
Advisors
Issue Date
2024
Type
Conference paper
Keywords
Average run length , Charts for individual measurements , Group control charts , Multiple stream processes
Research Projects
Organizational Units
Journal Issue
Citation
Ribas, C., Weheba, G. Control limits for monitoring the average of correlated streams. (2024). International Conference on Quality Engineering and Management.
Abstract

Purpose - An increasing number of manufacturing processes involve multiple streams where the same type of item is produced in a parallel fashion. Traditionally, streams need to be monitored using separate control charts. The number of charts becomes unrealistic as the number of streams increases. This research proposes modified limits for individual measurement group charts to control the average of multiple streams and account for the level of correlation between them. Methodology - Results of simulation studies were used to develop a mathematical model representing the relationship between the in-control average run length (ARL0), the number of streams, the level of correlation between them, and the half-width of the control limits. The fitted model was confirmed and used to generate tables of recommended values of the half-width to be used in constructing group control charts to achieve a specified level of the ARL0. A similar approach was used to characterize the shift detection capability of the proposed charts. Findings - The fitted model was confirmed and used to generate tables for modified values of the half-width factor based on the number of streams and the level of correlation between them. Research limitations - Simulated measurements were generated from the normal distribution assuming that the process variability is in-control and that the streams are equally correlated. Value - Research findings offer a solution for implementing group control charts to monitor the average of multiple stream processes. © 2024 Universidade do Minho. All rights reserved.

Table of Contents
Description
6th International Conference on Quality Engineering and Management, ICQEM 2024
13 June 2024 through 14 June 2024
Publisher
Universidade do Minho
Journal
International Conference on Quality Engineering and Management
Book Title
Series
PubMed ID
DOI
ISSN
2184-3481
EISSN