Published August 28, 2013
| Version 16091
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Optimal Parameters of Double Moving Average Control Chart
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The objective of this paper is to present explicit analytical formulas for evaluating important characteristics of Double Moving Average control chart (DMA) for Poisson distribution. The most popular characteristics of a control chart are Average Run Length ( 0 ARL ) - the mean of observations that are taken before a system is signaled to be out-of control when it is actually still incontrol, and Average Delay time ( 1 ARL ) - mean delay of true alarm times. An important property required of 0 ARL is that it should be sufficiently large when the process is in-control to reduce a number of false alarms. On the other side, if the process is actually out-ofcontrol then 1 ARL should be as small as possible. In particular, the explicit analytical formulas for evaluating 0 ARL and 1 ARL be able to get a set of optimal parameters which depend on a width of the moving average ( w ) and width of control limit ( H ) for designing DMA chart with minimum of 1 ARL
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References
- E.S. Page, "Continuous inspection schemes," Biometrika, vol.41, pp. 100-114, 1954.
- L.C. Alwan, Statistical Process Analysis. McGraw-Hill: New York, 1980.
- M.B.C. Khoo. A Moving Average Control Chart for Monitoring the Fraction Non- conforming. International Journal of Quality and Reliability Engineering. vol. 20, pp. 617-635, 2004.
- M.B.C. Khoo and V.H. Wong, "A Double Moving Average Control Chart," Communication in statistics Simulaion and Computation, vol. 37 pp. 1696-1708, 2008.
- Y. Areepong, "An analytical ARL of binomial double moving average chart," International Journal of Pure and Applied mathematics, vol. 73, pp. 477-488, 2011.
- S. Sukparungsee and Y. Areepong, "Explicit Formulas of Average Run Length for a Moving Average Control Chart for Monitoring the Number of Defective Products" Communication in statistics Simulaion and Computation, submitted for publication.
- G. Lorden, "Procedures for reacting to a change in distribution," Annals of Mathematical Statistics, vol. 42, pp. 1897-1908, 1971.
- A.N. Shiryaev, Optimal Stopping Rules, Springer-Verlag, 1978.