An unsupervised one-class-classifier support vector machine to simultaneously monitor location and scale of multivariate quality characteristics

Abstract

Purpose

The purpose of this study is to propose an effective unsupervised one-class-classifier (OCC) support vector machine (SVM)-based single multivariate control chart (OCC-SVM) to simultaneously monitor “location” and “scale” shifts of a manufacturing process.

Design/methodology/approach

The step-by-step approach to developing, implementing and fine-tuning the intrinsic parameters of the OCC-SVM chart is demonstrated based on simulation and two real-life case examples.

Findings

A comparative study, considering varied known and unknown response distributions, indicates that the OCC-SVM is highly effective in detecting process shifts of samples with individual observations. OCC-SVM chart also shows promising results for samples with a rational subgroup of observations. In addition, the results also indicate that the performance of OCC-SVM is unaffected by the small reference sample size.

Research limitations/implications

The sample responses are considered identically distributed with no significant multivariate autocorrelation between sample observations.

Practical implications

The proposed easy-to-implement chart shows satisfactory performance to detect an out-of-control signal with known or unknown response distributions.

Originality/value

Various multivariate (e.g. parametric or nonparametric) control chart(s) are recommended to monitor the mean (e.g. location) and variance (e.g. scale) of multiple correlated responses in a manufacturing process. However, real-life implementation of a parametric control chart may be complex due to its restrictive response distribution assumptions. There is no evidence of work in the open literature that demonstrates the suitability of an unsupervised OCC-SVM chart to simultaneously monitor “location” and “scale” shifts of multivariate responses. Thus, a new efficient OCC-SVM single chart approach is proposed to address this gap to monitor a multivariate manufacturing process with unknown response distributions.

Citation

Maji, A. and Mukherjee, I. (2023), "An unsupervised one-class-classifier support vector machine to simultaneously monitor location and scale of multivariate quality characteristics", International Journal of Quality & Reliability Management, Vol. 40 No. 2, pp. 419-454. https://doi.org/10.1108/IJQRM-09-2021-0316