On the performance of the conditional decision procedure in geometric charts

Authors:
Cesar A. Acosta-Mejia
Affiliations:
Department of Industrial Engineering, Instituto Tecnológico Autónomo de México Río Hondo #1, Mexico City, Mexico
Venue:
Computers and Industrial Engineering
Year:
2011

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Abstract

To improve the performance of control charts the conditional decision procedure (CDP) incorporates a number of previous observations into the chart's decision rule. It is expected that charts with this runs rule are more sensitive to shifts in the process parameter. To signal an out-of-control condition more quickly some charts use a headstart feature. They are referred as charts with fast initial response (FIR). The CDP chart can also be used with FIR. In this article we analyze and compare the performance of geometric CDP charts with and with no FIR. To do it we model the CDP charts with a Markov chain and find closed-form ARL expressions. We find the conditional decision procedure useful when the fraction p of nonconforming units deteriorates. However the CDP chart is not very effective for signaling decreases in p.