Performance of Side Sensitive Group Runs Chart based on Exact and Random Process Shifts
A control chart is a crucial statistical tool that is typically used to monitor a process, in
an effort to reduce variation. It is necessary to practically evaluate the overall performance
of a control chart. Evaluation reveals the effciency of a control chart to detect a process
shift. This influences practitioners' decisions on the choice of a control chart. The usual
practice taken to evaluate the performance of a control chart is to use the average run
length (ARL). The assumption for using the ARL as a performance measure is that the
shift size is known in advance. Determining the shift size can be restrictive, particularly
in the case practitioners do not have prior knowledge about the process. In view of this,
the expected ARL (EARL) is employed as a performance measure for the random process
mean shift. In this article, the overall performance of the side sensitive group runs (SSGR)
chart is investigated in terms of EARL. Moreover, the optimal design for the SSGR chart
based on minimising the EARL is proposed.
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