Open Access Journal
Research Article

A Novel Approach to Multivariate Process Control Using Sigma-Scaled Metrics

Li Zhang

Department of Statistics, University of California, Berkeley, USA

Maria Rodriguez

School of Industrial Engineering, Georgia Tech, USA

Sung Kim

Institute of Quality Science, Seoul National University, South Korea

Published: November 15, 2024
Vol. 12, Issue 4
Pages 245-268

Abstract

This study presents a new methodology for multivariate statistical process control (MSPC) that leverages sigma-scaled metrics to improve detection sensitivity and reduce false alarm rates in manufacturing environments. Traditional MSPC methods often struggle with high-dimensional data and non-linear relationships between process variables. Our proposed approach introduces a novel sigma-scaling technique that normalizes multivariate data while preserving critical variance structures. Through extensive simulation studies and real-world case studies from automotive manufacturing, we demonstrate that our method achieves superior performance compared to conventional Hotelling T² and MEWMA control charts. The results show a 32% reduction in false positives while maintaining 95% detection power for process shifts as small as 1.5 sigma. This research contributes to the growing body of knowledge on advanced statistical process control and provides practitioners with a robust tool for modern manufacturing quality control.

Keywords

Multivariate Process ControlSigma MetricsQuality ControlStatistical MethodsManufacturing

Article Timeline

Received: August 10, 2024
Accepted: October 20, 2024
Published: November 15, 2024

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Including: Introduction, Methodology, Results, Discussion, Conclusions, References