An adaptive chart for monitoring the process mean and variance

Quality and Reliability Engineering International

Volumn 23, Issue 7, 2007, Pages 821-831

  Costa, Antonio F B ^a   De Magalhães, Maysa S ^b  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b INSTITUTO BRASILEIRO DE GEOGRAFIA E ESTATÍSTICA   (Brazil)

Author keywords

AATS; Adaptive charts; Joint X and R charts; Non central chi square distribution; Shewhart charts; Single charts to control the process mean and variance

Indexed keywords

PARAMETER ESTIMATION; PROCESS MONITORING;

ADAPTIVE CHARTS; JOINT X̄ AND R CHARTS; NON-CENTRAL CHI-SQUARE DISTRIBUTION; SHEWHART CHARTS;

STATISTICAL METHODS;

EID: 34547256943     PISSN: 07488017     EISSN: 10991638     Source Type: Journal    
DOI: 10.1002/qre.842     Document Type: Article

References (35)

1. Tagaras G. A survey of recent development in the design of adaptive control charts. Journal of Quality Technology 1998; 30:212-231.
2. Reynolds MR Jr, Amin RW, Arnold JC, Nachlas JA. X̄ charts with variable sampling intervals. Technometrics 1988; 30:181-192.
3. Runger GC, Pignatiello JJ Jr. Adaptive sampling for process control. Journal of Quality Technology 1991; 23:135-155.
4. Amin RW, Miller RW. A robustness study of X̄ charts with variable sampling intervals. Journal of Quality Technology 1993; 25:36-44.
5. Runger GC, Montgomery DC. Adaptive sampling enhancements for Shewhart control charts. IIE Transactions 1993; 25:41-51.
6. Reynolds MR Jr, Arnold JC, Baik JW. Variable sampling interval X̄ charts in the presence of correlation. Journal of Quality Technology 1996; 28:1-28.
7. Bai DS, Lee KT. Variable sampling interval X̄ control charts with an improved switching rule. International Journal of Production Economics 2002; 76:189-199.
8. Chen YK. An evolutionary economic-statistical design for VSI X̄ control charts under non-normality. International Journal of Advanced Manufacturing Technology 2003; 22:602-610.
9. Chen YK. Economic design of X̄ control charts for non-normal data using variable sampling policy. International Journal of Production Economics 2004; 92:61-74.
10. Reynolds MR Jr, Amin RW, Arnold JC. Cusum charts with variable sampling intervals. Technometrics 1990; 32:371-384.
11. Saccucci MS, Amin RW, Lucas JM. Exponentially weighted moving average control schemes with variable sampling intervals. Communication in Statistics - Simulation and Computation 1992; 21:627-657.
12. Reynolds MR Jr. Shewhart and EWMA variable sampling interval control charts wtith sampling at fixed times. Journal of Quality Technology 1996; 28:199-212.
13. Stoumbos ZG, Mittenthal J, Runger GC. Steady-state-optimal control charts based on variable sampling intervals. Stochastic Analysis and Applications 2001; 19:1025-1057.
14. Prabhu SS, Runger GC, Keats JB. An adaptive sample size X̄ chart. International Journal of Production Research 1993; 31:2895-2909.
15. Costa AFB. X̄ charts with variable sample size. Journal of Quality Technology 1994; 26:155-163.
16. Prabhu SS, Montgomery DC, Runger GC. A combined adaptive sample size and sampling interval X̄ control scheme. Journal of Quality Technology 1994; 26:164-176.
17. Costa AFB. X̄ charts with variable sample sizes and sampling intervals. Journal of Quality Technology 1997; 29:197-204.
18. Rendtel U. Cusum-schemes with variable sampling intervals and variable sample sizes. Statistical Papers 1990; 31:103-118.
19. Costa AFB. X̄ charts with variable parameters. Journal of Quality Technology 1999; 31:408-416.
20. Costa AFB, Rahim MA. Economic design of X̄ charts with variable parameters: The Markov chain approach. Journal of Applied Statistics 2001; 28:875-885.
21. De Magalhães MS, Costa AFB, Epprecht EK. Constrained optimization model for the design of an adaptive X̄ chart. International Journal of Production Research 2002; 40:3199-3218.
22. Epprecht EK, Costa AFB. Adaptive sample size control charts for attributes. Quality Engineering 2001; 13:465-474.
23. Luo H, Wu Z. Optimal np control charts with variable sample sizes or variable sampling intervals. Economic Quality Control 2002; 17:39-62.
24. Epprecht EK, Costa AFB, Mendes FCT. Adaptive control charts for attributes. IIE Transactions 2003; 35:567-582.
25. Costa AFB, Rahim MA. Economic design of X̄ and R charts under weibull shock models. Quality and Reliability Engineering International 2000; 16:143-156.
26. Costa AFB, Rahim MA. Joint X̄ and R charts with two stage samplings. Quality and Reliability Engineering International 2004; 20:699-708.
27. Rahim MA, Costa AFB. Joint economic design of X̄ and R charts under Weibull shock models. International Journal of Production Research 2000; 28:2871-2889.
28. Gan FF. Joint monitoring of process mean and variance using exponentially weighted moving average control charts. Technometrics 1995; 37:446-453.
29. Albin SL, Kang L, Sheha G. An X̄ and EWMA chart for individual observations. Journal of Quality Technology 1997; 29:41-48.
30. Chen G, Cheng SW, Xie H. Monitoring process mean and variability with one EWMA chart. Journal of Quality Technology 2001; 33:223-233.
31. Costa AFB. Joint X̄ and R charts with variable parameters. IIE Transactions 1998; 30:505-514.
32. Costa AFB. Joint X̄ and R charts with variable sample sizes and sampling intervals. Journal of Quality Technology 1999; 31:387-397.
33. De Magalhães MS, Moura Neto FD. Joint economic model for totally adaptive X̄ and R charts. European Journal of Operation Research 2005; 161:148-161.
34. Reynolds MR, Stoumbos ZG. Monitoring the process mean and variance using individual observations and variable sampling intervals. Journal of Quality Technology 2001; 33:181-205.
35. Costa AFB, Rahim MA. Monitoring process mean and variability with one non-central chi-square chart. Journal of Applied Statistics 2004; 31:1171-1183.