2007
DOI: 10.1002/qre.867
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Monitoring autocorrelated processes using variable sampling schemes at fixed‐times

Abstract: Traditional control charts for process monitoring are based on taking samples of fixed size from the process using a fixed sampling interval. A recent development in control charts is the use of adaptive control charts, i.e. the variable sampling interval (VSI) and variable sampling size charts. This paper extends this idea to the autocorrelated process. We consider a time series model which is a first-order autoregressive process plus a random error. With variable intervals, the sampling time may be inconveni… Show more

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Cited by 29 publications
(19 citation statements)
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“…The most typical approach is to fit appropriate time‐series models to the observations and then charting the residuals. Recently, this method was applied by Costa and Claro, Lin and Chou, Zou et al , and Costa and Machado …”
Section: Adaptive Shewhart Control Chartsmentioning
confidence: 99%
See 1 more Smart Citation
“…The most typical approach is to fit appropriate time‐series models to the observations and then charting the residuals. Recently, this method was applied by Costa and Claro, Lin and Chou, Zou et al , and Costa and Machado …”
Section: Adaptive Shewhart Control Chartsmentioning
confidence: 99%
“…Zou et al suggest a variable sampling scheme at fixed times, including the VSI and VSSI schemes, to enhance the efficiency of the trueX¯ chart for autocorrelated process.…”
Section: Adaptive Shewhart Control Chartsmentioning
confidence: 99%
“…In particular, two categories of methods can be identified [7]. The former and widely used one consists in applying traditional control charts to uncorrelated residuals computed as error terms of an appropriate time series model fitted to observed data (Harris and Ross [8], Apley and Shi [9], Zou et al [10]). The latter stream, instead, consists of methods directly working on the original data points ( [6], [11] and model free approaches, e.g.…”
Section: Multivariate Spc With Auto-correlatedmentioning
confidence: 99%
“…The economic design was then treated by Bai and Lee 11 . To enhance the efficiency of theX control chart for autocorrelated processes, Zou et al 12 proposed using a VSI scheme. The economically designed X chart operating with samples of variable sizes was studied by Park and Reynolds 13 .…”
Section: Introductionmentioning
confidence: 99%