Double sampling $$\overline{X} $$ control chart for a first-order autoregressive moving average process model.

Costa, Antonio; Claro, Fernando

In this paper, we consider the double sampling (DS) $$\overline{X} $$ control chart for monitoring processes in which the observations can be represented as a first-order autoregressive moving average (ARMA(1, 1)) model. The properties of the DS $$\overline{X} $$ control chart with the sampling intervals driven by the rational subgroup concept are studied and compared with the Shewhart chart and the variable sample size (VSS) chart, both properly modified to account for the serial correlation. Numerical results show that the correlation within subgroups has a significant impact on the properties of the charts. For processes with low to moderate correlation levels, the DS $$\overline{X} $$ chart is substantially more efficient in detecting process mean shifts.

PRODUCTION engineering; MATHEMATICAL models; MANUFACTURING processes; GRAPHIC methods; STATISTICAL sampling; ALGORITHMS; MATHEMATICAL functions

International Journal of Advanced Manufacturing Technology, 2008, Vol 39, Issue 5/6, p521

0268-3768

Academic Journal

10.1007/s00170-007-1230-6