On the performance of CUSUM control charts for monitoring the coefficient of variation with measurement errors

Coefficient of variation; CUSUM control charts; Markov chain; Measurement error; SPC; Flowcharting; Graphic methods; Markov processes; Measurement errors; Process control; Sintering; Accuracy errors; Cumulative sum control charts; Cusum control chart; Precision errors; Process shifts; Sintering process; Specific values; Control charts

Abstract :

[en] In this paper, we investigate the effect of the measurement error on the performance of the cumulative sum (CUSUM) control charts monitoring the coefficient of variation. The measurement errors are supposed to follow a linear covariate error model. The obtained results show that the precision error ratio and the accuracy error have negative impact on the chart performance. Moreover, in order to overcome the difficulty in predetermining a specific value for the process shift size, we suggest to optimize the parameters of the charts according to the random shift size in a given interval. The robustness of the proposed method is studied. An example is given to illustrate the use of the CUSUM charts on a real quality control problem from sintering process. © 2019, Springer-Verlag London Ltd., part of Springer Nature.

Disciplines :

Quantitative methods in economics & management

Author, co-author :

Tran, Kim Phuc; Ecole Nationale Supérieure des Arts et Industries Textiles, GEMTEX Laboratory, Roubaix, 59056, France

Nguyen, Huu Du

Tran, Phuong Hanh ; HEC Liège - Management School of the University of Liège, Liège, Belgium

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

Language :

English

Title :

On the performance of CUSUM control charts for monitoring the coefficient of variation with measurement errors

Publication date :

2019

Journal title :

International Journal of Advanced Manufacturing Technology

ISSN :

0268-3768

eISSN :

1433-3015

Publisher :

Springer London

Volume :

104

Issue :

5-8

Pages :

1903-1917

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 25 January 2020

Statistics

Number of views

89 (17 by ULiège)

Number of downloads

5 (5 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

OpenAlex citations

Bibliography

Castagliola P, Amdouni A, Taleb H, Celano G (2011) Monitoring the coefficient of variation using EWMA charts. J Qual Technol 43(3):249–265
Kang C, Lee M, Seong Y, Hawkins D (2007) A control chart for the coefficient of variation. J Qual Technol 39(2):151–158
Calzada M, Scariano S M (2013) A synthetic control chart for the coefficient of variation. J Stat Comput Simul 83(5):853–867
Castagliola P, Achoure A, Taleb H, Celano G, Psarakis S (2013) Monitoring the coefficient of variation using control charts with run rules. Qual Technol Quant Manage 10:75–94
Castagliola P, Achouri A, Taleb H, Celano G, Psarakis S (2013) Monitoring the coefficient of variation using a variable sampling interval control chart. Qual Reliab Eng Int 29(8):1135–1149
Amdouni A, Castagliola P, Taleb H, Celano G (2015) Monitoring the coefficient of variation using a variable sample size control chart in short production runs. Int J Adv Manuf Technol 81(1–4):1–14
Castagliola P, Achouri A, Taleb H, Celano G, Psarakis S (2015) Monitoring the coefficient of variation using a variable sample size control chart. Int J Adv Manuf Technol 81(9–12):1561–1576
Tran P H, Tran K P (2016) The efficiency of CUSUM schemes for monitoring the coefficient of variation. Appl Stoch Model Bus Ind 32(6):870–881
Jian Y, Pingfa F, Chao X, Yuan M, Shuanggang H (2015) A novel approach for chatter online monitoring using coefficient of variation in machining process. Int J Adv Manuf Technol 96(1–4):287–297
Abbasi S A, Adegoke N A (2015) Multivariate coefficient of variation control charts in phase I of SPC. Int J Adv Manuf Technol 99(5-8):1903–1916
Linna K, Woodall W (2001) Effect of measurement error on Shewart control chart. J Qual Technol 33 (2):213–222
Maravelakis P (2012) Measurement error effect on the CUSUM control chart. J Appl Stat 39(2):323–336
Hu X, Castagliola P, Sun J, Khoo M (2015) The effect of measurement errors on the synthetic X̄ chart. Qual Reliab Eng Int 31(8):1769–1778
Noorossana R, Zerehsaz Y (2015) Effect of measurement error on phase II monitoring of simple linear profiles. Int J Adv Manuf Technol 79(9-12):2031–2040
Tran K P, Castagliola P, Celano G (2016) The performance of the Shewhart-RZ control chart in the presence of measurement error. Int J Prod Res 54:7504–7522
Yeong W, Khoo M, Lim S, Teoh W (2017) The coefficient of variation chart with measurement error. Qual Technol Quant Manage 14(4):353–377
Tran K P, Castagliola P, Balakrishnan N (2018) On the performance of coefficient of variation charts in the presence of measurement errors. Qual Reliab Eng Int 35(1):329–350
Tran K P, Nguyen H D, Nguyen Q T, Chattinnawat W (2018) One-sided synthetic control charts for monitoring the coefficient of variation with measurement errors. In: 2018 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), pp 1667–1671
Nguyen H D, Nguyen Q T, Tran K P, Ho DP (2019) On the performance of VSI Shewhart control chart for monitoring the coefficient of variation in the presence of measurement errors. Int J Adv Manuf Technol 10.1007/s00170-019-03352-7
Tran P H, Heuchenne C (2019) CUSUM control charts for the coefficient of variation with measurement errors. In: 9th IFAC Conference on Manufacturing Modelling Management and Control, Germany
Iglewicz B, Myers R (1970) Comparisons of approximations to the percentage points of the sample coefficient of variation. Technometrics 12(1):166–169
Reh W, Scheffler B (1996) Significance tests and confidence intervals for coefficients of variation. Comput Stat Data Anal 22(4):449–452
Vangel M (1996) Confidence intervals for a normal coefficient of variation. Am Stat 15:21–26
Breunig R (2001) An almost unbiased estimator of the coefficient of variation. Econ Lett 70(1):15–19
Tran K. P., Castagliola P., Celano G., Khoo M. B. (2018) Monitoring compositional data using multivariate exponentially weighted moving average scheme. Qual Reliab Eng Int 34(3):391–402
Brook D, Evans D (1972) An approach to the probability distribution of CUSUM run length. Biometrika 59(3):539–549