Monitoring Coefficient of Variation Using CUSUM Control Charts

Tran, Phuong Hanh; Tran, Kim Phuc; Heuchenne, Cédric; Nguyen, Huu Du

doi:10.1007/978-1-4471-7503-2_18

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Monitoring Coefficient of Variation Using CUSUM Control Charts

Tran, Phuong Hanh; Tran, Kim Phuc; Heuchenne, Cédric et al.

2022 • In Springer Handbook of Engineering Statistics, 2nd ed

Peer reviewed

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10.1007/978-1-4471-7503-2_18

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Keywords :

Cumulative Sum; Coefficient of Variation; Measurement Errors; Fast Initial Response; Statistical Process Control

Abstract :

[en] In the field of statistical process control, the Cumulative Sum (CUSUM) control chart is used as a powerful tool to detect process shifts. One of the main features of the CUSUM control chart is that it takes into account the past information at each sampling time of the process. Recently, the rapid development of optimization algorithms and software makes the CUSUM chart easier to be implemented. As a result, the CUSUM control chart has been increasingly applied widely. The goal of this chapter is to present some recent innovative CUSUM control charts monitoring the coefficient of variation (CV). We address several problems related to the CUSUM chart monitoring the CV. The first section provides important definitions of a CUSUM control chart, including the CUSUM sequence, the CUSUM statistics, the implementation of a CUSUM control chart, the average run length (ARL), and the expected average run length (EARL). In the second section, we investigate the effect of measurement error on the CUSUM control chart monitoring the CV. Finally, a fast initial response strategy to improve the performance of the CUSUM control chart is presented.

Disciplines :

Quantitative methods in economics & management

Author, co-author :

Tran, Phuong Hanh ; Université de Liège - ULiège > HEC Recherche

Tran, Kim Phuc

Heuchenne, Cédric ; Université de Liège - ULiège > HEC Liège : UER > UER Opérations: Statistique appl. à la gest. et à l'économie

Nguyen, Huu Du

Language :

English

Title :

Monitoring Coefficient of Variation Using CUSUM Control Charts

Publication date :

2022

Main work title :

Springer Handbook of Engineering Statistics, 2nd ed

Publisher :

Springer, Germany

Peer reviewed :

Peer reviewed

Available on ORBi :

since 13 November 2021

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