Distribution-free control charts for monitoring scale in finite horizon productions

Perdikis, Theodoros; Celano, Giovanni; Chakraborti, Subhabrata

doi:10.1016/j.ejor.2023.11.048

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…In some recent advances, a general class of nonparametric Shewhart-type control charts based on modified Wilcoxon-type rank sum statistics has been introduced in [19], while [20] generalized the monitoring schemes proposed in [15] by taking into account the ranks from a larger amount of test observations. For a thorough study and some interesting perspectives on Nonparametric Statistical Process Control, the interested reader is referred to [21][22][23][24][25], while some very recent advances on the topic can be found in [26][27][28][29][30].…”

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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Parametric and nonparametric versions of adaptive CUSUM charts for monitoring the location of individual measurements

Abbas,

Nazir

et al. 2024

Journal of Statistical Computation and Simulation

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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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Distribution-free control charts for monitoring scale in finite horizon productions

Cited by 3 publications

References 19 publications

Wilcoxon-Type Control Charts Based on Multiple Scans

Wilcoxon-Type Control Charts Based on Multiple Scans

Parametric and nonparametric versions of adaptive CUSUM charts for monitoring the location of individual measurements

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

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