Phase II synthetic exponential charts and effect of parameter estimation
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 125-142 |
| Journal / Publication | Quality Technology and Quantitative Management |
| Volume | 15 |
| Issue number | 1 |
| Online published | 21 Mar 2017 |
| Publication status | Published - 2018 |
Link(s)
Abstract
Exponential charts for monitoring time-between-events data are widely
studied recently as it has shown a wide range in different applications.
To improve the sensitivity of the simple exponential chart, this paper
develops a synthetic control chart to monitor the two-sided shifts in the
exponential mean. This synthetic chart consists of an exponential sub-chart
and a conforming run length (CRL) sub-chart and it is designed from two
new perspectives. Previous synthetic charts are constructed based on the
optimization program for a specified shift size, which proves to be difficult
to predict in practice. In this paper, the synthetic chart is constructed
based on a new design method which takes the mean (ARL) and the
standard deviation (SDRL) of the run length into consideration. The other
improvement is that the exponential sub-chart is designed to ensure that
the CRL sub-chart only needs a lower control limit and that the proposed
synthetic chart is ARL-unbiased. The effect of parameter estimation on
the proposed synthetic chart is also studied in this paper. Performance
comparisons show that our proposed chart has a better performance in
general.
studied recently as it has shown a wide range in different applications.
To improve the sensitivity of the simple exponential chart, this paper
develops a synthetic control chart to monitor the two-sided shifts in the
exponential mean. This synthetic chart consists of an exponential sub-chart
and a conforming run length (CRL) sub-chart and it is designed from two
new perspectives. Previous synthetic charts are constructed based on the
optimization program for a specified shift size, which proves to be difficult
to predict in practice. In this paper, the synthetic chart is constructed
based on a new design method which takes the mean (ARL) and the
standard deviation (SDRL) of the run length into consideration. The other
improvement is that the exponential sub-chart is designed to ensure that
the CRL sub-chart only needs a lower control limit and that the proposed
synthetic chart is ARL-unbiased. The effect of parameter estimation on
the proposed synthetic chart is also studied in this paper. Performance
comparisons show that our proposed chart has a better performance in
general.
Research Area(s)
- average run length, process mean, Synthetic chart, time-between-events
Citation Format(s)
Phase II synthetic exponential charts and effect of parameter estimation. / Cheng, Yuan; Sun, Lirong; Guo, Baocai.
In: Quality Technology and Quantitative Management, Vol. 15, No. 1, 2018, p. 125-142.
In: Quality Technology and Quantitative Management, Vol. 15, No. 1, 2018, p. 125-142.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
