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Articles

Binomial CUSUM chart with curtailment

, , &
Pages 4646-4659 | Received 15 Nov 2012, Accepted 26 Dec 2013, Published online: 06 Feb 2014
 

Abstract

The binomial cumulative sum (CUSUM) chart has been widely used to monitor the fraction nonconforming (p) of a process. It is a powerful procedure for detecting small and moderate p shifts. This article proposes a binomial CUSUM control chart using curtailment technique (Curt_CUSUM chart in short). The new chart is able to improve the overall detection effectiveness while holding the false alarm rate at a specified level. The results of the comparative studies show that, on average, the Curt_CUSUM chart is more effective than the CUSUM chart without curtailment by 30%, in terms of Average Number of Defectives, under different circumstances. The Curt_CUSUM chart can be applied to a 100% inspection as well as a general random sampling inspection.

Acknowledgements

The authors would like to thank DAAD (German Academic Exchange Service) greatly for supporting this research work.

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