Monitoring process mean and variability with generally weighted moving average control charts

Computers and Industrial Engineering

Volumn 57, Issue 1, 2009, Pages 401-407

  Sheu, Shey Huei ^a   Tai, Shih Hung ^b   Hsieh, Yu Tai ^a   Lin, Tse Chieh ^b  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^b LUNGHWA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Average run length; Control chart; Exponentially weighted moving average; Generally weighted moving average; Simulation

Indexed keywords

AVERAGE RUN LENGTH; CONTROL CHART; EXPONENTIALLY WEIGHTED MOVING AVERAGE; GENERALLY WEIGHTED MOVING AVERAGE; SIMULATION;

FLOWCHARTING; GRAPHIC METHODS;

PROCESS MONITORING;

EID: 67349089249     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2008.12.010     Document Type: Article

References (22)

1. Crowder S.V. Computation of ARL for combined individual measurement and moving range charts. Journal of Quality Technology 19 (1987) 98-102
2. Crowder S.V. Average run lengths of exponentially weighted moving average control charts. Journal of Quality Technology 19 (1987) 161-164
3. Crowder S.V. A simple method for studying run length distributions of exponentially weighted moving average control charts. Technometrics 29 (1987) 401-407
4. DeVor R.E., Chang T.H., and Sutherland J.W. Statistical quality design and control (1992), Macmillan, NY
5. Duncan A.J. Quality control and industrial statistics. 5th ed. (1986), Irwin, Homewood, IL
6. Gan F.F. Computing the percentage points of the run length distribution of an exponentially weighted moving average control chart. Journal of Quality Technology 23 (1991) 359-365
7. Gitlow H. In: Oppenheim A., and Oppenheim R. (Eds). Quality management: Tools and methods for improvement. 2nd ed. (1995), Irwin, Burr Ridge, IL
8. Grant E.L., and Leavenworth R.S. Statistical quality control (1988), McGraw-Hill, NY
9. IMSL (1989). User's Manual Statistical Library Version 1.1. IMSL Inc: Houston, TX.
10. Lucas J.M., and Saccucci M.S. Exponential weighted moving average control schemes: Properties and enhancements. Technometrics 32 (1990) 1-12
11. Mitra A. Fundamentals of quality control and improvement (1993), Macmillan, NY
12. Montgomery D.C. Introduction to statistical quality control. 4th ed. (2001), John Wiley & Sons, NY
13. Reynolds M.R., and Stoumbos Z.G. Monitoring the process mean and variance using individual observations and variable sampling intervals. Journal of Quality Technology 33 2 (2001) 181-205
14. Reynolds M.R., and Stoumbos Z.G. Control charts and the efficient allocation of sampling resources. Technometrics 46 2 (2004) 200-214
15. Roberts S.W. Control chart tests based on geometric moving averages. Technometrics 1 (1959) 239-250
16. Robinson P.B., and Ho T.Y. Average run lengths of geometric moving average charts by numerical methods. Technometrics 20 (1978) 85-93
17. Sheu S.H. A generalized age and block replacement of a system subject to shocks. European Journal of Operational Research 108 (1998) 345-362
18. Sheu S.H. Extended optimal replacement model for deteriorating systems. European Journal of Operational Research 112 (1999) 503-516
19. Sheu S.H., and Griffith W.S. Optimal number of minimal repairs before replacement of a system subject to shocks. Naval Research Logistics 43 (1996) 319-333
20. Sheu S.H., and Lin T.C. The generally weighted moving average control chart for detecting small shifts in the process mean. Quality Engineering 16 2 (2003) 209-231
21. Sweet A.L. Control charts using coupled exponential weighted moving average. IIE Transactions 18 (1986) 26-33
22. Wortham A.W., and Heinrich G.F. Control charts using exponential smoothing techniques. Annual technical conference. Transactions of the ASQC 26 (1972) 451-458