A Comparison of Shewhart Individuals Control Charts Based on Normal, Non‐parametric, and Extreme‐value Theory

Vermaat, M. B. (Thijs); Ion, R.A.; Does, Ronald J. M. M.; Klaassen, Chris A. J.

doi:10.1002/qre.586

Cited by 35 publications

(18 citation statements)

References 21 publications

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“…However, how to determine how large is large is not obvious. To obtain a threshold that determines the significance of each feature, we used a moving range-based thresholding algorithm that has been used to construct a moving average control chart (Vermaat et al 2003). Given a set of the weighted PC loading values for individual features, the threshold can be calculated as follows:…”

Section: Pca-based Feature Selection Methodsmentioning

confidence: 99%

Computationally efficient neuro-dynamic programming approximation method for the capacitated re-entrant line scheduling problem

Choi

Kim

2012

International Journal of Production Research

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This paper presents a computationally efficient neuro-dynamic programming approximation method for the capacitated re-entrant line scheduling problem by reducing the number of feature functions. The method is based on a statistical assessment of the significance of the various feature functions. This assessment can be made by combining the weighted principal components with a thresholding algorithm. The efficacy of the new feature functions selected is tested by numerical experiments. The results indicate that the feature selection method presented here can extract a small number of significant features with the potential capability of providing a compact representation of the target value function in a neuro-dynamic programming framework. Moreover, the linear parametric architecture considered holds considerable promise as a way to provide effective and computationally efficient approximations for an optimal scheduling policy that consistently outperforms the heuristics typically employed.

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Section: Pca-based Feature Selection Methodsmentioning

confidence: 99%

Computationally efficient neuro-dynamic programming approximation method for the capacitated re-entrant line scheduling problem

Choi

Kim

2012

International Journal of Production Research

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“…The distribution deviates significantly from a normal distribution (Figure ). Deviations with increased probability density in tails have been shown to reduce the performance of individuals' charts …”

Section: Proposed Analysis Approachmentioning

confidence: 99%

Data Analysis for Condition‐Based Railway Infrastructure Maintenance

Bergquist

Söderholm

2014

Qual. Reliab. Engng. Int.

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Condition assessment is crucial to optimize condition-based maintenance actions of assets such as railway infrastructure, where a faulty state might have severe consequences. Hence, railways are regularly inspected to detect failure events and prevent the inspected item (e.g. rail) to reach a faulty state with potentially safety critical consequences (e.g. derailment). However, the preventive measures (e.g. condition-based maintenance) initiated by the inspection results may cause traffic disturbances, especially if the expected time to a faulty state is short. The alarm limits are traditionally safety related and often based on geometrical properties of the inspected item. Maintenance limits would reduce the level of emergency, producing earlier alarms and increasing possibilities of planned preventive rather than acute maintenance. However, selecting these earlier maintenance limits in a systematic way while balancing the risk of undetected safety-critical faults and false alarms is challenging.Here, we propose a statistically based approach using condition data of linear railway infrastructure assets. The data were obtained from regular inspections done by a railway track measurement wagon. The condition data were analysed by a control chart approach to evaluate the possibility for earlier detection of derailment hazardous faults using both temporal and spatial information.The study indicates that that the proposed approach could be used for condition assessment of tracks. Control charts led to earlier fault warnings compared to the traditional approach, facilitating planned condition-based maintenance actions and thereby a reduction of track downtime.

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“…., all depend on the same training sample X 0 . In this section, we develop a method for calculating the ARL of the chart by first conditioning on the training sample X 0 , a method used by Chakraborti [12,13] and by Vermaat et al [14].…”

Section: Calculating the Arl Of The Shew-ks Chartmentioning

confidence: 99%

A Nonparametric Shewhart-Type Quality Control Chart for Monitoring Broad Changes in a Process Distribution

Bakir

2012

International Journal of Quality, Statistics, and Reliability

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This paper develops a distribution-free (or nonparametric) Shewhart-type statistical quality control chart for detecting a broad change in the probability distribution of a process. The proposed chart is designed for grouped observations, and it requires the availability of a reference (or training) sample of observations taken when the process was operating in-control. The charting statistic is a modified version of the two-sample Kolmogorov-Smirnov test statistic that allows the exact calculation of the conditional average run length using the binomial distribution. Unlike the traditional distribution-based control charts (such as the Shewhart X-Bar), the proposed chart maintains the same control limits and the in-control average run length over the class of all (symmetric or asymmetric) continuous probability distributions. The proposed chart aims at monitoring a broad, rather than a one-parameter, change in a process distribution. Simulation studies show that the chart is more robust against increased skewness and/or outliers in the process output. Further, the proposed chart is shown to be more efficient than the Shewhart X-Bar chart when the underlying process distribution has tails heavier than those of the normal distribution.

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A Comparison of Shewhart Individuals Control Charts Based on Normal, Non‐parametric, and Extreme‐value Theory

Cited by 35 publications

References 21 publications

Computationally efficient neuro-dynamic programming approximation method for the capacitated re-entrant line scheduling problem

Computationally efficient neuro-dynamic programming approximation method for the capacitated re-entrant line scheduling problem

Data Analysis for Condition‐Based Railway Infrastructure Maintenance

A Nonparametric Shewhart-Type Quality Control Chart for Monitoring Broad Changes in a Process Distribution

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