A binomial CUSUM chart for detecting large shifts in fraction nonconforming

Journal of Applied Statistics

Volumn 35, Issue 11, 2008, Pages 1267-1276

  Wu, Zhang ^a   Jiao, Jianxin ^a   Liu, Ying ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Attribute control chart; Binomial CUSUM control chart; Fraction nonconforming; Quality control; Statistical process control

Indexed keywords

EID: 54049096310     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664760802320533     Document Type: Article

References (28)

1. Bourke, P. D. (1991) Detecting a shift in fraction nonconforming using run-length control charts with 100% inspection. J. Qual. Technol., 23, pp. 225-238.
2. Bourke, P. D. (2001) Sample size and the binomial CUSUM control chart: the case of 100% inspection. Metrika, 53, pp. 51-70.
3. British Standard Institution (1985) Quality Management Systems, BSI Handbook 24, Quality Control, British Standards Institution, London
4. Duncan, A. J. (1978) The economic design of p-charts to maintain current control of a process: Some numerical results. Technometrics, 20, pp. 235-243.
5. Gan, F. F. (1993) An optimal design of CUSUM control charts for binomial counts. J. Appl. Stat., 20, pp. 445-460.
6. Hawkins, D. M. (1992) Evaluation of average run lengths of cumulative sum charts for an arbitrary data distribution. Commun. Stat. Simulation Comput., 21, pp. 1001-1020.
7. Jiao, J. X. and Helo, P. T. (2006) Optimization design of a CUSUM control chart based on Taguchi's loss function. Int. J. Adv. Manufacturing Technol., 35, pp. 1234-1243.
8. Khoo, M. B. C. (2004) A moving average control chart for monitoring the fraction non-conforming. Qual. Reliab. Eng. Internat., 20, pp. 617-635.
9. Lucas, J. M. (1985) Counted data CUSUM's. Technometrics, 27, pp. 129-144.
10. Lucas, J. M. (1985) Cumulative sum (CUSUM) control schemes. Commun. Statist. Theory Methods, 14, pp. 2689-2704.
11. Lucas, J. M. (1989) Control schemes for low count levels. J. Qual. Technol., 21, pp. 199-201.
12. Radaelli, G. (1994) Poisson and negative binomial dynamics for counted data under CUSUM-type charts. J. Appl. Stat., 21, pp. 347-356.
13. Reynolds Jr, M. R. and Stoumbos, Z. G. (1999) A CUSUM chart for monitoring a proportion when inspecting continuously. J. Qual. Technol., 31, pp. 87-108.
14. Reynolds Jr, M. R. and Stoumbos, Z. G. (2000) A general approach to modeling CUSUM charts for a proportion. IIE Trans., 32, pp. 515-535.
15. Reynolds Jr, M. R. and Stoumbos, Z. G. (2004) Should observations be grounded for effective process monitoring. J. Qual. Technol., 36, pp. 343-366.
16. Reynolds Jr, M. R., Amin, R. W. and Arnold, J. C. (1990) CUSUM charts with variable sampling intervals. Technometrics, 32, pp. 371-384.
17. Saniga, E. M., Davis, D. J. and Mcwilliams, T. P. (1995) Economic, statistical, and economic-statistical design of attribute charts. J. Qual. Technol., 27, pp. 56-73.
18. Shu, L., Jiang, W. and Tsui, K. L. (2008) A weighted CUSUM chart for detecting patterned means shifts. J. Qual. Technol., 40, pp. 194-213.
19. White, C. L. and Keats, J. B. (1996) ARLs and higher-order run-length moments for the Poisson CUSUM. J. Qual. Technol., 28, pp. 363-369.
20. White, C. L., Keats, J. B. and Stanley, J. (1997) Poisson CUSUM vs. c chart for defect data. Qual. Eng., 9, pp. 673-679.
21. Woodall, W. H. (1984) On the Markov chain approach to the two-sided CUSUM procedures. Technometrics, 26, pp. 41-46.
22. Woodall, W. H. (1985) The statistical design of quality charts. Statistician, 34, pp. 155-160.
23. Woodall, W. H. and Montgomery, D. C. (1999) Research issues and ideas in statistical process control. J. Qual. Technol., 31, pp. 376-386.
24. Wu, Z. and Tian, Y. (2005) Weighted-loss-function CUSUM chart for monitoring mean and variance of a production process. Internat. J. Prod. Res., 43, pp. 3027-3044.
25. Wu, Z., Yeo, S. H. and Spedding, T. A. (2001) A synthetic control chart for detecting fraction nonconforming increases. J. Qual. Technol., 33, pp. 104-111.
26. Wu, Z., Luo, H. and Zhang, X. L. (2006) Optimal np control chart with curtailment. Eur. J. Operat. Res., 174, pp. 1723-1741.
27. Yu, F. J. and Hou, J. L. (2006) Optimization of design parameters for x control charts with multiple assignable causes. J. Appl. Stat., 33, pp. 279-290.
28. Zhao, Y., Tsung, F. and Wang, Z. J. (2005) Dual CUSUM control scheme for detecting a range of mean shift. IIE Trans., 37, pp. 1047-1058.