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The objective of this research was to compare the efficiencies of four control charts –the Poisson cumulative sum (PCUSUM), progressive mean (PPM), Poisson generally weighted moving average (PGWMA) and the Poisson double generally weighted moving average (PDGWMA)– when the data were Poisson distributed. A simulation study was conducted 840 situations using Monte Carlo techniques with 10,000 repetitions for each situation. The studied factors consist of the average numbers of defects ( ) for in-control process which were 4 and 12, and the process mean shifts (δ) which were 0.02, 0.04, 0.06, 0.10, 0.14, 0.18, 0.20, 0.40, 0.60, 1.00, 1.40 and 1.80. In addition, the criterion for efficiency comparison was out-of-control average run length (ARL1). The results showed that PPM control chart tended to have the best efficiency for detection the number of defects mean shifts of process for almost all situations, except the case of = 12 and δ = 0.02. In addition, PPM, PGWMA and PDGWMA control charts tended to have no different efficiencies for large number of defects mean shift from the target.
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