International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Distribution-Free CUSUM-Type Control Charts for Monitoring Industrial Processes: An Overview

Ioannis S. Triantafyllou
Department of Computer Science & Biomedical Informatics, University of Thessaly, Lamia 35131, Greece.

Mangey Ram
Department of Mathematics, Computer Science & Engineering, Graphic Era Deemed to be University, Dehradun-248002, Uttarakhand, India.

DOI https://doi.org/10.33889/IJMEMS.2021.6.4.058

Received on January 23, 2021
  ;
Accepted on April 03, 2021

Abstract

In the present paper we provide an up-to-date overview of nonparametric Cumulative Sum (CUSUM) monitoring schemes. Due to their nonparametric nature, such memory-type schemes are proved to be very useful for monitoring industrial processes, where the output does not match to a particular distributional model. Several fundamental contributions on the topic are mentioned, while recent advances are also presented in some detail. In addition, some practical applications of the nonparametric CUSUM-type control charts are highlighted, in order to emphasize their crucial role in the contemporary online Statistical Process Control.

Keywords- Distribution-free statistical methods, Rank-based procedures, Nonparametric statistical process control, Cumulative sum control charts, Sign statistics.

Citation

Triantafyllou, I. S., & Ram, M. (2021). Distribution-Free CUSUM-Type Control Charts for Monitoring Industrial Processes: An Overview. International Journal of Mathematical, Engineering and Management Sciences, 6(4), 975-1008. https://doi.org/10.33889/IJMEMS.2021.6.4.058.

Conflict of Interest

The authors declare no conflict of interest.

Acknowledgements

The authors thank two anonymous referees for several helpful comments and suggestions on an earlier version of the manuscript, which resulted in some improvement of the present article.

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