Double-sampling control charts for attributes

Journal of Applied Statistics

Volumn 38, Issue 1, 2011, Pages 87-112

  de Araújo Rodrigues, Aurélia Aparecida ^a   Epprecht, Eugenio Kahn ^b   de Magalhães, Maysa Sacramento ^c  

^a FEDERAL UNIVERSITY OF UBERLÂNDIA   (Brazil)

^b PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c INSTITUTO BRASILEIRO DE GEOGRAFIA E ESTATÍSTICA   (Brazil)

Author keywords

CUSUM; Double sampling; EWMA; Np charts; Statistical design; Variable sample size

Indexed keywords

EID: 78650062258     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664760903266007     Document Type: Article

References (44)

1. A.F. Bissell, Control chart limits for attributes and events, J. Appl. Stat. 15(1) (1988), pp. 97-105.
2. C.M. Borror, C.W. Champ, and S.E. Rigdon, Poisson EWMA control charts, J. Qual. Technol. 30(4) (1998), pp. 352-361.
3. P.D. Bourke, Detecting a shift in fraction nonconforming using run-length control charts with 100% inspection, J. Qual. Technol. 23 (1991), pp. 225-238.
4. P.D. Bourke, The geometric CUSUM chart with sampling inspection for monitoring fraction defective, J. Appl. Stat. 28 (2001), pp. 951-972.
5. D. Brook and D.A. Evans, An approach to the probability distribution of CUSUM run length, Biometrika 59(3) (1972), pp. 539-549.
6. L.Y. Chan, C.D. Lai, M. Xie, and T.N. Goh, A two-stage decision procedure for monitoring processes with low fraction nonconforming, Eur. J. Oper. Res. 150 (2003), pp. 420-436.
7. A.F.B. Costa, X̄ charts with variable sample size, J. Qual. Technol. 26(3) (1994), pp. 155-163.
8. A.F.B. Costa, X charts with variable sample size and sampling intervals, J. Qual. Technol. 29(2) (1997), pp. 197-204.
9. A.F.B. Costa, VSSI X̄ charts with sampling at fixed times, Commun. Stat. A 27(11) (1998), pp. 2853-2869.
10. A.F.B. Costa, X charts with variable parameters, J. Qual. Technol. 31(4) (1999), pp. 408-416.
11. A.F.B. Costa, charts with supplementary samples to control the mean and variance, Int. J. Prod. Res. 38(16) (2000), pp. 3801-3809.
12. A.F.B. Costa and M.A. Rahim, Joint X̄ and R charts with two stage samplings, Qual. Reliab. Eng. Int. 20(7) (2004), pp. 699-708.
13. R. Croasdale, Control charts for a double-sampling scheme based on average production run length, Int. J. Prod. Res. 12 (1974), pp. 585-592.
14. J.J. Daudin, Double sampling charts, J. Qual. Technol. 24(2) (1992), pp. 78-87.
15. M.S. De Magalhães, A.F.B. Costa, and E.K. Epprecht, Constrained optimization model for the design of an adaptive X̄ chart, Int. J. Prod. Res. 40(13) (2002), pp. 3199-3218.
16. M.S. De Magalhães and F.D. Moura Neto, Joint economic model for totally adaptive X̄ and R chart, Eur. J. Oper. Res. 161(1) (2005), pp. 148-161.
17. E.K. Epprecht and A.F.B. Costa, Adaptive sample size control charts for attributes, Qual. Eng. 13(3) (2001), pp. 465-473.
18. E.K. Epprecht, A.F.B. Costa, and F.C.T. Mendes, Adaptive control charts for attributes, IIE Trans. 35(6) (2003), pp. 567-582.
19. F.F. Gan, Monitoring observations generated from a binomial distribution using modified exponentially weighted moving average control chart, J. Stat. Comput. Simul. 37(1) (1990), pp. 45-60.
20. F.F. Gan, Monitoring Poisson observations using modified exponentially weighted moving average control charts, Commun. Stat. Simul. Comput. 19(1) (1990), pp. 103-124.
21. F.F. Gan, An optimal design of CUSUM control charts for binomial counts, J. Appl. Stat. 20(4) (1993), pp. 445-460.
22. J.S. Gardiner, D.J. Friedman, and D.C. Montgomery, A note on the average run length of cumulative sum control charts for count data, Qual. Reliab. Eng. Int. 3(1) (1987), pp. 53-55.
23. L. Horvath, The limit distributions of likelihood ratio and cumulative sum tests for a change in a binomial probability, J. Multivariate Anal. 31(1) (1989), pp.148-159.
24. L.F. Hsu, Note on 'Design of double- and triple-sampling control charts using genetic algorithms', Int. J. Prod. Res. 42(5) (2004), pp. 1043-1047.
25. L.F. Hsu, Note on 'Construction of double sampling s-control charts for agile manufacturing', Qual. Reliab. Eng. Int. 23 (2007), pp. 269-272.
26. J.M. Lucas, Counted data CuSum's, Technometrics 27(2) (1985), pp. 129-144.
27. J.M. Lucas and R.B. Crosier, Fast initial response for CUSUM quality control schemes: give your CUSUM a head start, Technometrics 24 (1982), pp. 199-205.
28. J.M. Lucas and M.S. Saccucci, Exponentially weighted moving average control schemes: properties and enhancements, Technometrics 32(1) (1990), pp. 1-12.
29. H. Luo and Z.Wu, Optimal np control charts with variable sample sizes or variable sampling intervals, Econ. Qual. Control 17(1) (2002), pp. 39-61.
30. C. Park and M.R. Reynolds Jr, Economic design of a variable sample size X̄ chart, Commun. Stat. Simul. Comput. 23(2) (1994), pp. 467-483.
31. C. Park and M.R. Reynolds Jr, Economic design of a variable sampling rate X̄ chart, J. Qual. Technol. 31(4) (1999), pp. 427-443.
32. S.S. Prabhu, D.C. Montgomery, and G.C. Runger, A combined adaptive sample size and sampling interval X̄ control scheme, J. Qual. Technol. 26(3) (1994), pp. 164-176.
33. S.S. Prabhu, D.C. Montgomery, and G.C. Runger, Economic-statistical design of an adaptive X̄ chart, Int. J. Prod. Econ. 49(1) (1997), pp. 1-15.
34. S.S. Prabhu, G.C. Runger, and J.B. Keats,X̄ chart with adaptive sample sizes, Int. J. Prod. Res. 31(12) (1993), pp. 2895-2909.
35. M.R. Reynolds Jr, R.W. Amin, J.C. Arnold, and J.A. Nachlas, X̄ charts with variable sampling intervals, Technometrics 30(2) (1988), pp. 181-192.
36. M.R. Reynolds Jr and Z. Stoumbos, A CUSUM chart for monitoring a proportion when inspecting continuously, J. Qual. Technol. 31 (1999), pp. 87-108.
37. S.H. Steiner, Confirmation sample control charts, Int. J. Prod. Res. 37(4) (1999), pp. 737-748.
38. A. Trevanich and P. Bourke, EWMA control charts using attributes data, The Statistician 42(3) (1993), p. 215.
39. T.S. Vaughan, Variable sampling interval np process control chart, Commun. Stat. Theory Methods 22(1) (1993), pp. 147-167.
40. W.H. Woodall, Control charts based on attribute data: bibliography and review, J. Qual. Technol. 29(2) (1997), pp. 172-183.
41. Z.Wu,H. Luo, and X. Zhang, Optimal np control chart with curtailment, Eur. J. Oper. Res. 174 (2006), pp. 1723-1741.
42. Z.Wu and Q.Wang, An np control chart using double inspections, J. Appl. Stat. 34(7) (2007), pp. 843-855.
43. Z.Wu and S.H.Yeo, Implementing synthetic control charts for attributes, J. Qual. Technol. 33 (2001), pp. 112-114.
44. Z. Wu, S.H. Yeo, and T.A. Spedding, A synthetic control chart for detecting fraction nonconforming increases, J. Qual. Technol. 33 (2001), pp. 104-111.