Quality control; Control Charts; Variable Parameter; Non-normality; Economic Statistical Design
Résumé :
[en] Recent studies proved that variable parameters (VP) X ̅ control charts not only detects process mean shifts quicker than the classical X ̅ control chart but also has better economic properties. Furthermore, like most papers in control chart design, the fundamental assumption is that process data are normally distributed. Nevertheless, process quality variables may not be normal in application. In this paper, we investigate the economic statistical design of the VP X ̅ control chart when the underlying process distribution is non-normal. We illustrate the design procedure and perform a sensitivity analysis on the process and cost parameters based upon the degrees of skewness and kurtosis of the population using an industrial application.
Disciplines :
Sciences économiques & de gestion: Multidisciplinaire, généralités & autres
Auteur, co-auteur :
Seif, Asghar
Faraz, Alireza ; Université de Liège - ULiège > HEC-Ecole de gestion : UER > Statistique appliquée à la gestion et à l'économie
Saniga, Erwin
Langue du document :
Anglais
Titre :
Economic Statistical Design of the VP( X) ̅ Control Charts for Monitoring a Process under Non-normality
Date de publication/diffusion :
02 novembre 2014
Titre du périodique :
International Journal of Production Research
ISSN :
0020-7543
eISSN :
1366-588X
Maison d'édition :
Taylor & Francis Ltd
Volume/Tome :
53
Fascicule/Saison :
14
Pagination :
4218-4230
Peer reviewed :
Peer reviewed vérifié par ORBi
Organisme subsidiant :
F.R.S.-FNRS - Fonds de la Recherche Scientifique IAP research network P7/06 of the Belgian Government (Belgian Science Policy)
Akhavan Niaki, S. T., F. Gazaneh, and M. Toosheghanian. 2013a. "Economic Design of Variable Sampling Interval X-Bar Control Charts for Monitoring Correlated Non Normal Samples." Communications in Statistics - Theory and Methods 42 (18): 3339-3358. doi:10.1080/03610926.2011.628769.
Akhavan Niaki, S. T., F. Gazaneh, and M. Toosheghanian. 2013b. "A Parameter-tuned Genetic Algorithm for Economic-statistical Design of Variable Sampling Interval X-Bar Control Charts for Non-normal Correlated Samples." Communications in Statistics - Simulation and Computation 43 (5): 1212-1240. doi:10.1080/03610918.2012.732176.
Akhavan Niaki, S. T., F. Gazaneh, and M. Toosheghanian. 2013c. "Economic Design of VSI X Control Chart with Correlated Nonnormal Data under Multiple Assignable Causes." Journal of Statistical Computation and Simulation 83 (7): 1279-1300.
Burr, I. W. 1942. "Cumulative Frequency Functions." The Annals of Mathematical Statistics 13: 215-232.
Burr, I. W. 1967. "The Effect of Non-normality on Constants for X and R Charts." Industrial Quality Control 22: 563-569.
Celano, G. 2011. "On the Constrained Economic Design of Control Charts: A Literature Review." Produção 21 (2): 223-234.
Chen, Y. K. 2003. "An Evolutionary Economic-statistical Design for VSI X Control Charts under Non-normality." The International Journal of Advanced Manufacturing Technology 22 (7-8): 602-610.
Chen, Y. K. 2004. "Economic Design of X Control Charts for Non-normal Data Using Variable Sampling Policy." International Journal of Production Economics 92 (1): 61-74.
Chen, Y.-K., and K.-C. Chiou. 2005. "Optimal Design of VSI X Control Charts for Monitoring Correlated Samples." Quality and Reliability Engineering International 21 (8): 757-768. doi:10.1002/qre.684.
Chou, C., C. Chen, and H. Liu. 2000. "Economic-statistical Design of X Charts for Non-normal Data by Considering Quality Loss." Journal of Applied Statistics 27: 939-951.
Das, T. K., and V. Jain. 1997. "An Economic Design Model for X Charts with Random Sampling Policies." IIE Transactions (Institute of Industrial Engineers) 29 (6): 507-518.
Das, T. K., V. Jain, and A. Gosavi. 1997. "Economic Design of Dual-sampling-interval Policies for X Charts with and without Run Rules." IIE Transactions (Institute of Industrial Engineers) 29 (6): 497-506.
De Magalhães, M. S., A. F. B. Costa, and E. K. Epprecht. 2002. "Constrained Optimization Model for the Design of an Adaptive X Chart." International Journal of Production Research 40 (13): 3199-3218.
Faraz, A., C. Heuchenne, and E. Saniga. 2012. "Optimal T2 Control Chart with a Double Sampling Scheme - An Alternative to the MEWMA Chart." Quality and Reliability Engineering International 28: 751-760. doi:10.1002/qre.1268.
Faraz, A., C. Heuchenne, E. Saniga, and A. F. B. Costa. 2014. "Double Objective Economic Statistical Design of the VP T2 Control Chart: Wald's Identity Approach." Journal of Statistical Computation and Simulation 84 (10): 2123-2137. doi:10.1080/ 00949655.2013.784315.
Faraz, A., R. B. Kazemzadeh, A. Parsian, and M. B. Moghadam. 2012. "On the Advantages of Economically Designed Variable Sample Sizes and Sampling Intervals T2 Control Chart." Quality & Quantity, International Journal of Methodology 46: 1323-1336. doi:10.1007/s11135-010-9325-9.
Faraz, A., R. B. Kazemzadeh, and E. Saniga. 2010. "Economic and Economical Statistical Design of Hotelling's T2 Control Chart with Two-state Adaptive Sample Size." Journal of Statistical Computation and Simulation 80 (12): 1299-1316. doi:10.1080/00949650903062574.
Faraz, A., and E. Saniga. 2011. "Economic Statistical Design of a T2 Control Chart with Double Warning Lines." Quality and Reliability Engineering International 27 (2): 125-139. doi:10.1002/qre.1095.
Lin, Y.-C., and C.-Y. Chou. 2005. "On the Design of Variable Sample Size and Sampling Intervals Charts under Non-normality." International Journal of Production Economics 96 (2): 249-261. doi:10.1016/j.ijpe.2004.05.001.
Lin, Y.-C., and C.-Y. Chou. 2007. "Non-normality and the Variable Parameters Control Charts." European Journal of Operational Research 176 (1): 361-373. doi:10.1016/j.ejor.2005.06.051.
Lorenzen, T. J., and L. C. Vance. 1986. "The Economic Design of Control Charts: A Unified Approach." Technometrics 28 (1): 3-10.
Lowry, C. A., and D. C. Montgomery. 1995. "A Review of Multivariate Control Charts." IIE Transactions 27: 800-810.
Montgomery, D. C. 2005. Introduction to Statistical Quality Control. New York: Wiley.
Montgomery, D. C., and W. H. Woodall. 1997. "Discussion on Statistically-based Process Monitoring and Control." Journal of Quality Technology 29 (2): 121-143.
Park, C., and M. Reynolds. 1994. "Economic Design of a Variable Sample Size-chart." Communications in Statistics - Simulation and Computation 23: 467-483.
Rahim, M. A. 1985. "Economic Model of X Chart Under Non-normality and Measurement Errors." Computers & Operations Research 12 (3): 291-299.
Reynolds, J. M. R., R. W. Amin, J. C. Arnold, and J. A. Nachlas. 1988. "X Charts with Variable Sampling Intervals." Technometrics 30 (2): 181-192.
Saniga, E. M. 1989. "Economic Statistical Control Chart Designs with an Application to X and R Charts." Technometrics 31: 313-320.
Seif, A., A. Faraz, C. Heuchenne, E. Saniga, and M. B. Moghadam. 2011. "A Modified Economic-statistical Design of T2 Control Chart with Variable Sample Sizes and Control Limits." Journal of Applied Statistics 38: 2459-2469. doi:10.1080/ 02664763.2011.559205.
Seif, A., A. Faraz, and M. Sadeghifar. 2014. "Evaluation of the Economic Statistical Design of the Multivariate T2 Control Chart with Multiple Variable Sampling Intervals Scheme: NSGA-II Approach." Journal of Statistical Computation and Simulation. doi:10.1080/00949655.931404.
Woodall, W. H. 1986. "Weaknesses of the Economic Design of Control Charts." Technometrics 28: 408-409.
Yang, K. A. I., and W. M. Hancock. 1990. "Statistical Quality Control for Correlated Samples." International Journal of Production Research 28 (3): 595-608. doi:10.1080/00207549008942738.
Yourstone, S. A., and W. J. Zimmer. 1992. "Non-normality and the Design of Control Charts for Averages." Decision Sciences 23 (5): 1099-1113.
Yu, F. J., and J. L. Hou. 2006. "Optimization of Design Parameters for Control Charts with Multiple Assignable Causes." Journal of Applied Statistics 33 (3): 279-290. doi:10.1080/02664760500445541.
Yu, F. J., M. A. Rahim, and H. Chin. 2007. "Economic Design of VSI Control Charts." International Journal of Production Research 45 (23): 5639-5648. doi:10.1080/00207540701325512.
Zimmer, W. J., and I. W. Burr. 1963. "Variables Sampling Plans Based on Non-normal Populations." Industrial Quality Control 21: 18-26.
