Phase I non-linear profiles monitoring using a modified Hausdorff distance algorithm and clustering analysis
International Journal of Quality & Reliability Management
ISSN: 0265-671X
Article publication date: 10 July 2020
Issue publication date: 3 February 2021
Abstract
Purpose
The purpose of this paper is to propose a new non-parametric phase I control chart for the problem of non-linear profile outlier detection.
Design/methodology/approach
The proposed non-parametric method is based on a modified Hausdorff distance, which does not require a restrictive assumption on the form of profiles. By obtaining the distance between each profile and the baseline profile, the authors introduced an iterative optimization clustering algorithm to identify outliers by clustering distances.
Findings
The simulation results show that the proposed method can distinguish outliers for structural changes of non-linear profiles. The authors also present a real industrial case example to highlight how practitioners can implement and make use of the proposed control chart in outlier detection applications, and it achieves higher accuracy in the outlier detection of complex profiles.
Practical implications
The research results of this paper can be applied to any manufacturing or service system whose quality characteristics are characterized by non-linear profiles. This new approach provides quality practitioners a better decision-making tool for non-linear profile outlier detection.
Originality/value
Due to the complexity of real-world applications, the non-linear profiles monitoring problem is yet to be addressed. However, the related research still remains rare. And the authors’ proposed non-linear profile control chart, which does not require a restrictive assumption on the form of profiles, shows its applicability and superiority in simulation study and real-world case.
Keywords
Acknowledgements
The authors gratefully acknowledge the financial supports for this research from the National Natural Science Foundation of China (Nos 71672122). The authors are grateful to reviewers for useful comments that led to significant improvements in the manuscript. The authors also thank the Editor for helpful comments.
Citation
Nie, B., Liu, D., Liu, X. and Ye, W. (2021), "Phase I non-linear profiles monitoring using a modified Hausdorff distance algorithm and clustering analysis", International Journal of Quality & Reliability Management, Vol. 38 No. 2, pp. 536-550. https://doi.org/10.1108/IJQRM-01-2020-0001
Publisher
:Emerald Publishing Limited
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