Circle Chart for Monitoring of Periodic Measurements

Xie, Min; Goh, T. N.; Deng, Peipei

doi:10.1002/qre.1285

Cited by 5 publications

(5 citation statements)

References 9 publications

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“…The circle chart can be used to monitor measurements of extreme values modeled by extreme value distribution. Following Xie et al ., procedures for circle chart construction for extreme value distributed data are as follows. Analyze the data set to determine the period length d , and the angle between two successive pointers is

φ = \frac{2 π}{italicd} .

Calculate the outer control limit (OCL) and inner control limit (ICL) based on estimators in Equation .…”

Section: Circle Chart Based On Extreme Value Distributionmentioning

confidence: 99%

“…The circle chart can be used to monitor measurements of extreme values modeled by extreme value distribution. Following Xie et al, 4 procedures for circle chart construction for extreme value distributed data are as follows.…”

Section: Circle Chart Construction Procedures For Process Extremes Monmentioning

confidence: 99%

“…. Because of its importance and usefulness to incorporate periodicity in process monitoring, a new approach has recently been proposed on the basis of plotting around a circle so that the data from the same section of a cycle can be compared easily (Xie et al …”

Section: Introductionmentioning

confidence: 99%

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Circle Chart for the Monitoring of Maxima in Periodic Processes

Deng

Goh

Cheng

et al. 2014

Quality & Reliability Eng

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An important process characteristic is process maxima as it is often an important quality or performance parameter. Such measurements often play a vital role in process analysis and have to be monitored carefully. In this paper, we consider the problem of monitoring process maxima when the process exhibits a kind of periodicity. A circle chart for periodical process maxima with or without seasonal patterns monitoring is developed and studied, by modeling the process maxima using the extreme value distribution. Mean normalization is applied for periodic process monitoring with seasonal patterns to facilitate comparison between different sections and periods. The average cycle run length is proposed to measure charting efficiency. Copyright © 2014 John Wiley & Sons, Ltd.

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φ = \frac{2 π}{italicd} .

Calculate the outer control limit (OCL) and inner control limit (ICL) based on estimators in Equation .…”

Section: Circle Chart Based On Extreme Value Distributionmentioning

confidence: 99%

Section: Circle Chart Construction Procedures For Process Extremes Monmentioning

confidence: 99%

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Circle Chart for the Monitoring of Maxima in Periodic Processes

Deng

Goh

Cheng

et al. 2014

Quality & Reliability Eng

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“…CM and manual inspection are always necessary activities for any PM, as they provide system status information to help the determination and execution of maintenance decisions. 10–14 Note here that the implementing methods of CM and manual inspection are different. CM can be done using monitoring devices while the system is working.…”

Section: Introductionmentioning

confidence: 99%

A condition-based preventive replacement policy with imperfect manual inspection for a two-stage deterioration process

Wang

2020

Proceedings of the Institution of Mechanical Engineers, Part O:

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This article proposes a novel preventive replacement policy based on condition monitoring and imperfect manual inspection for systems subject to a two-stage deterioration process, where the two-stage deterioration process is modeled by the white noise process and Brownian motion with a drift, respectively. The proposed preventive replacement policy is implemented using two thresholds: a failure threshold and a preventive threshold. Specifically, if the condition monitoring measurement is observed to cross the failure threshold, then the failure replacement will be carried out; and, if the condition monitoring measurement is observed to cross the preventive threshold while lower than the failure threshold, then the system needs to be checked by manual inspection, and the preventive replacement will be carried out once the system is found to be in the defective state. In this article, we consider that manual inspection is imperfect, namely, there is a probability that the defect will be unnoticed. By minimizing the expected cost per unit time, we obtain the optimal condition monitoring interval and preventive threshold. A numerical example is provided to demonstrate the performance of the proposed condition-based replacement policy. Comparisons are made with the existing work, which shows the effectiveness and superiority of the proposed policy.

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“…The chart is based on the event ratio statistic 𝑅 = 𝑋/𝑇.Farouk et al (2011)Using the three-parameter Weibull 𝑡 𝑟 -chart for monitoring the behavior of systems with degraded reliability.Zhang et al (2011)Introducing an economic design of exponential TBE control charts for monitoring multistage manufacturing processes Xie et al (2011). andXie et al (2012)…”

mentioning

confidence: 99%

Angular Control Charts: A New Perspective for Monitoring Reliability of Multi-State Systems

Janada,

Soltan,

Hussein

et al. 2022

Preprint

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Control charts, as had been used traditionally for quality monitoring, were applied alternatively to monitor systems' reliability. In other words, they can be applied to detect changes in the failure behavior of systems. Such purpose imposed modifying traditional control charts in addition to developing charts that are more compatible with reliability monitoring. The latter developed category is known as probability limits control charts. The existing reliability monitoring control charts were only dedicated to binary-state systems, and they can't be used to monitor several states simultaneously. Therefore, this paper develops a design of control charts that accommodates multi-state systems, called here as the Angular Control Chart, which represents a new version of the probability limits control charts. This design is able to monitor state transitions simultaneously and individually in addition. Illustrative system examples are implemented to explore the monitoring procedure of the new design and to demonstrate its efficiency, effectiveness, and limitations.

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Circle Chart for Monitoring of Periodic Measurements

Cited by 5 publications

References 9 publications

Circle Chart for the Monitoring of Maxima in Periodic Processes

Circle Chart for the Monitoring of Maxima in Periodic Processes

A condition-based preventive replacement policy with imperfect manual inspection for a two-stage deterioration process

Angular Control Charts: A New Perspective for Monitoring Reliability of Multi-State Systems

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