TY - JOUR
T1 - Variable sampling interval exponentially weighted moving average median chart with estimated process parameters
AU - Khoo, Michael B.C.
AU - Saha, Sajal
AU - Lee, How Chinh
AU - Castagliola, Philippe
N1 - Funding Information:
This research is supported by the Universiti Sains Malaysia, Research University (RUI) grant number 1001.PMATHS.8011039. This research is conducted while the first author (Michael B. C. Khoo) is on sabbatical leave at Universiti Tunku Abdul Rahman (UTAR), Kampar.
Funding Information:
This research is supported by the Universiti Sains Malaysia, Research University (RUI) grant number 1001.PMATHS.8011039. This research is conducted while the first author (Michael B. C. Khoo) is on sabbatical leave at Universiti Tunku Abdul Rahman (UTAR), Kampar.
Publisher Copyright:
© 2019 John Wiley & Sons, Ltd.
PY - 2019/12
Y1 - 2019/12
N2 - The variable sampling interval exponentially weighted moving average median chart with estimated process parameters is proposed. The charting statistic, optimal design, performance evaluation, and implementation of the proposed chart are discussed. The average of the average time to signal (AATS) criterion is adopted to evaluate the performance of the proposed chart. The estimated process parameter-based VSI EWMA median (VSI EWMA median-e) chart is compared with the estimated process parameter-based Shewhart median (SH median-e), EWMA median (EWMA median-e), and variable sampling interval run sum median (VSI RS median-e) charts, in terms of the AATS criterion, where the VSI EWMA median-e chart is shown to be superior. When process parameters are estimated, the standard deviation of the average time to signal (SDATS) criterion is used to evaluate the AATS performance of the VSI EWMA median-e chart. Based on the SDATS criterion, the minimum number of phase-I samples required by the VSI EWMA median-e chart so that its performance is close to the known process parameters VSI EWMA median chart is recommended.
AB - The variable sampling interval exponentially weighted moving average median chart with estimated process parameters is proposed. The charting statistic, optimal design, performance evaluation, and implementation of the proposed chart are discussed. The average of the average time to signal (AATS) criterion is adopted to evaluate the performance of the proposed chart. The estimated process parameter-based VSI EWMA median (VSI EWMA median-e) chart is compared with the estimated process parameter-based Shewhart median (SH median-e), EWMA median (EWMA median-e), and variable sampling interval run sum median (VSI RS median-e) charts, in terms of the AATS criterion, where the VSI EWMA median-e chart is shown to be superior. When process parameters are estimated, the standard deviation of the average time to signal (SDATS) criterion is used to evaluate the AATS performance of the VSI EWMA median-e chart. Based on the SDATS criterion, the minimum number of phase-I samples required by the VSI EWMA median-e chart so that its performance is close to the known process parameters VSI EWMA median chart is recommended.
KW - average of the average time to signal (AATS)
KW - average time to signal (ATS)
KW - estimated process parameters
KW - standard deviation of the average time to signal (SDATS)
UR - https://www.scopus.com/pages/publications/85070800550
U2 - 10.1002/qre.2554
DO - 10.1002/qre.2554
M3 - Article
AN - SCOPUS:85070800550
SN - 0748-8017
VL - 35
SP - 2732
EP - 2748
JO - Quality and Reliability Engineering International
JF - Quality and Reliability Engineering International
IS - 8
ER -