A one-sided adaptive truncated exponentially weighted moving average scheme for time between events

Xie, FuPeng; Castagliola, Philippe; Sun, Jian; Tang, Anan; Hu, Xuelong

doi:10.1016/j.cie.2022.108052

Cited by 8 publications

(2 citation statements)

References 34 publications

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“…where w, r 1 are positive design parameters. Under the first proposed nonparametric monitoring scheme based on W h 1 , R h and the multiple scan-type rule with parameters r, k, s (N MS r,k,s 1 , hereafter), the process is characterized as out-of-control whenever we observe r subsequences of test samples of length s (at most), which contain at least k samples having violated at least one condition stated in (3).…”

Section: The Proposed Nonparametric Control Charts Based On Rank Sum ...mentioning

confidence: 99%

“…In the last two decades, several EWMA-type distribution-free control charts have been introduced in the literature. For instance, adaptive nonparametric EWMA charts have been studied in [1][2][3], while some nonparametric EWMA-type schemes based on sign and signed-rank statistics have been proposed in [4][5][6][7][8]. An up-to-date and detailed overview of distribution-free EWMA charts has been presented in [9].…”

Section: Introductionmentioning

confidence: 99%

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Wilcoxon-Type Control Charts Based on Multiple Scans

Triantafyllou

2024

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In this article, we establish new distribution-free Shewhart-type control charts based on rank sum statistics with signaling multiple scans-type rules. More precisely, two Wilcoxon-type chart statistics are considered in order to formulate the decision rule of the proposed monitoring scheme. In order to enhance the performance of the new nonparametric control charts, multiple scans-type rules are activated, which make the proposed chart more sensitive in detecting possible shifts of the underlying distribution. The appraisal of the proposed monitoring scheme is accomplished with the aid of the corresponding run length distribution under both in- and out-of-control cases. Thereof, exact formulae for the variance of the run length distribution and the average run length (ARL) of the proposed monitoring schemes are derived. A numerical investigation is carried out and depicts that the proposed schemes acquire better performance towards their competitors.

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Section: The Proposed Nonparametric Control Charts Based On Rank Sum ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Wilcoxon-Type Control Charts Based on Multiple Scans

Triantafyllou

2024

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Combined Shewhart–EWMA and Shewhart–CUSUM monitoring schemes for time between events

Hu,

Xia,

Zhang

et al. 2024

Quality & Reliability Eng

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To improve the detecting abilities of upward and downward parameter changes in high‐quality process, two combined schemes by integrating memory‐type, that is, exponentially weighted moving average (EWMA) or cumulative sum (CUSUM), and memoryless, that is, Shewhart, are proposed for monitoring the time between events (TBE), which is modeled as an exponential distributed variable. A Monte Carlo simulation method is employed to obtain the Run Length () properties, that is average run length (), of the proposed schemes for different parameter settings. The nearly optimal monitoring parameter combinations under different change size are obtained by minimizing the out‐of‐control with the satisfied in‐control . Using the designed parameters, the performance of the proposed monitoring schemes is compared with the existing EWMA and CUSUM TBE. The results show that the proposed combined Shewhart–EWMA or Shewhart–CUSUM TBE generally perform better than the corresponding EWMA or CUSUM TBE for large changes and they also show better performance than the Shewhart TBE for small changes. Finally, a real dataset of organic light‐emitting diode (OLED) failure time from Sumsung company is employed to indicate the usage and implementation of combined TBE schemes.

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On designing the two one-sided mixed EWMA-CUSUM monitoring schemes for the coefficient of variation with an application to the sintering process

Zhang

Xie

et al. 2022

Computers & Industrial Engineering

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A one-sided adaptive truncated exponentially weighted moving average scheme for time between events

Cited by 8 publications

References 34 publications

Wilcoxon-Type Control Charts Based on Multiple Scans

Wilcoxon-Type Control Charts Based on Multiple Scans

Combined Shewhart–EWMA and Shewhart–CUSUM monitoring schemes for time between events

On designing the two one-sided mixed EWMA-CUSUM monitoring schemes for the coefficient of variation with an application to the sintering process

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