Guaranteed conditional performance of the S2 control chart with estimated parameters

Alireza Faraz, William H. Woodall and C. Heuchenne

International Journal of Production Research, 2015, vol. 53, issue 14, 4405-4413

Abstract: We evaluate the in-control performance of the S2 control chart with estimated parameters conditional on the Phase I sample. Simulation results indicate no realistic amount of Phase I data is enough to have confidence that the in-control average run length (ARL) obtained will be near the desired value. To overcome this problem, we adjust the S2 chart’s control limits such that the in-control ARL is guaranteed to be above a specified value with a certain specified probability. The required adjustment does not have too much of an adverse effect on the out-of-control performance of the chart.

Date: 2015
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DOI: 10.1080/00207543.2015.1008112

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