An EWMA sign chart for dispersion with exact run length properties

Perdikis, Theodoros; Psarakis, Stelios; Castagliola, Philippe; Giner‐Bosch, Vicent; Maravelakis, Petros E.; Rakitzis, Athanasios C.

doi:10.1080/00949655.2022.2154767

Cited by 3 publications

(1 citation statement)

References 37 publications

(80 reference statements)

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“…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%

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: Introductionmentioning

confidence: 99%

Wilcoxon-Type Control Charts Based on Multiple Scans

Triantafyllou

2024

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The combined Shewhart–EWMA sign charts

Shanshool,

Mahadik,

Godase

et al. 2024

Quality & Reliability Eng

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The Shewhart control chart is a prominent tool for identifying the changes in process parameters that are of large magnitude, however, it has reduced ability to identify the process changes of small magnitudes. On the other hand, an exponentially weighted moving average (EWMA) control chart is superior to the Shewhart chart in identifying process changes of small magnitudes but it is less proficient than the later chart in identifying changes of large magnitudes. This paper suggests nonparametric combined Shewhart‐EWMA (CSE) charts based on the sign statistic for the process location and process dispersion. The statistical performance measures of these charts are obtained using a Markov chain approach. The numerical comparisons revealed that the performance of a CSE chart lies within the range of the Shewhart sign and EWMA sign charts for identifying a process change of any magnitude. A real‐data example is provided to illustrate the mechanism of the chart.

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Distribution-Free Control Charts Based on Multiple Runs: Advances and Applications in Supply Chain Management

Triantafyllou

2024

Int. j. math. eng. manag. sci.

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In this article, we improve the behavior of nonparametric Shewhart-type control charts, which employ order statistics and multiple runs-type rules. The proposed class of monitoring schemes includes some existing control charts. In addition, new distribution-free monitoring schemes that pertain to the class, are set up and examined extensively. Explicit expressions for determining the variability and the mean of the run length distribution for the enhanced control charts are additionally delivered. As an example, a real-life managerial application is considered, where the proposed framework is implemented in order to enhance the provided services of a company under a supply chain management environment. Based on numerical comparisons, we draw the conclusion that the new charts outperform their competitors in identifying potential changes in the fundamental distribution in almost all cases considered.

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An EWMA sign chart for dispersion with exact run length properties

Cited by 3 publications

References 37 publications

Wilcoxon-Type Control Charts Based on Multiple Scans

Wilcoxon-Type Control Charts Based on Multiple Scans

The combined Shewhart–EWMA sign charts

Distribution-Free Control Charts Based on Multiple Runs: Advances and Applications in Supply Chain Management

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