• Title/Summary/Keyword: Cusum control chart

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CUSUM Chart Applied to Monitoring Areal Population Mobility (누적합 관리도를 활용한 생활인구 이상치 탐색)

  • Kim, Hyoung Jun;Sohn, So Young
    • Journal of Korean Society for Quality Management
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    • v.48 no.2
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    • pp.241-256
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    • 2020
  • Purpose: Certain places in Seoul such as Shinchon, Hongdae, and Gangnam, often suffer from sudden overflow of mobile population which can cause serious safety problems. This study suggests the application of spatial CUSUM control chart in monitoring areal population mobility data which is recently provided by Seoul metropolitan government. Methods: Monitoring series of standardized local Moran's I enables one to detect spatio-temporal out-of-control status based on the accumulation of past patterns. Moreover, we visualize such pattern map for more intuitive comprehension of the phenomenon. As a case study, we have analyzed the female mobility population aged 25 to 29 appeared in 51 Jipgyegu near Hongik university on fridays from January, 2017 to June, 2018. They are validated by exploring related articles and through local due diligence. Results: The results of the analysis provide insights in figuring out if the change of the mobility population is short-term by particular incident or long-term by spatial alteration, which allows strategic approach in constructing response system. Specific case near popular downtown near Hongik University has shown that newly opened hotels, shops of global sports brand and franchise bookstores have attracted young female population. Conclusion: We expect that the results of our study contribute to planning effective distribution of administrative resources to prepare against drastic increase in floating population. Furthermore, it can be useful in commercial area analysis and age/gender specific marketing strategy for companies.

In-situ plasma monioring using neural network model-coupled CUSUM control chart (신경망 모델과 CUSUM 제어차트를 결합한 인-시츄 플라즈마 감시)

  • Kim, Dae-Hyeon;Kim, Byeong-Hwan;Yu, Im-Su;U, Bong-Ju
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2011.05a
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    • pp.89-90
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    • 2011
  • 플라즈마 공정 중에 발생하는 플라즈마 누설은 챔버 압력의 변화를 초래하여 증착 또는 식각 중인 박막패턴을 손상시킨다. 따라서 플라즈마 누설을 실시간으로 탐지하는 것이 요구되며, 본 연구에서는 광방사분광기 (Optical emisison spectroscopy), 신경망, 그리고 제어차트를 결합한 플라즈마 누설의 인-시츄 탐지기술을 보고한다. 비교평가 결과 소수의 라디칼 정보를 감시하는 것보다 신경망 모델로부터의 예측정보를 이용할 때 보다 증진된 누설탐지 성능을 확인하였다.

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Control charts for monitoring correlation coefficients in variance-covariance matrix

  • Chang, Duk-Joon;Heo, Sun-Yeong
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.4
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    • pp.803-809
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    • 2011
  • Properties of multivariate Shewhart and CUSUM charts for monitoring variance-covariance matrix, specially focused on correlation coefficient components, are investigated. The performances of the proposed charts based on control statistic Lawley-Hotelling $V_i$ and likelihood ratio test (LRT) statistic $TV_i$ are evaluated in terms of average run length (ARL). For monitoring correlation coe cient components of dispersion matrix, we found that CUSUM chart based on $TV_i$ gives relatively better performances and is more preferable, and the charts based on $V_i$ perform badly and are not recommended.

A General Multivariate EWMA Control chart

  • Choi, SungWoon;Lee, SaangHoon
    • Management Science and Financial Engineering
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    • v.6 no.1
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    • pp.1-19
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    • 2000
  • This papeer proposes a general approach of the multivariate expontially weighted moving average(MEWMA) chart, in which the smoothing matrix has full elements instead of only diagonal elements. The average run length (ARL) properties of this scheme are examined for a diverse set of quality control environments and the information to design the chhart is provied. Performance of the scheme is measured by estmating ARL and compared to those of two group cumulative sum (CUSUM) chats. The comparison resullts show that the MEWMA chart can improve its ARL performance in detecting a small shifts out-of-control in the start-up stage, the general MEWMA chart of a full smoothing matrix appears to offer an exceptional protection aginst departures from control in the process mean.

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Economic-Statistical Design of VSI Run Rules Charts (VSI 런-규칙 관리도의 경제적-통계적 설계)

  • Kang, Bun-Kyu;Lim, Tae-Jin
    • Journal of Korean Society for Quality Management
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    • v.38 no.2
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    • pp.190-201
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    • 2010
  • This research proposes a method for designing VSI (Variable Sampling Interval) control charts with supplementary run rules. The basic idea is to apply various run rules and the VSI scheme to a control chart in order to increase the sensitivity. The sampling process of the VSI run rules chart is constructed by Markov chain approach. A procedure for designing the VSI run rules chart is proposed based on Lorenzen and Vance's model. Sensitivity study shows that the VSI run rules charts outperform the FSI (Fixed Sampling Interval) run rules charts for wide range of process mean shifts. A major advantage of the VSI run rules chart over other charts such as CUSUM, EWMA, and adaptive charts is it's simplicity in implementation. Some useful guidelines are proposed based on the sensitivity study.

A Study Short Run Production Cusum Individual X Chart & Moving Range Chart (단납기 생산체계의 누계치 관리도와 유동성 관리도에 관한 연구)

  • Kim Je-Hong
    • Journal of the Korea Society of Computer and Information
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    • v.9 no.4 s.32
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    • pp.215-220
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    • 2004
  • Production management confronted the environment of infinite competition should be prepared to abrupt variations of management environment and have the ability to be changed in short term. It has to be studied, the control method of products that correspond to multi-functionalization and reduced product life which is caused by high-quality and varied customers demands. As a process control method, we most be able not only to control varies characteristic in a control at once but also to detected special values quickly for high-quality. In this paper a control method referred above is presented.

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An Adaptive Moving Average (A-MA) Control Chart with Variable Sampling Intervals (VSI) (가변 샘플링 간격(VSI)을 갖는 적응형 이동평균 (A-MA) 관리도)

  • Lim, Tae-Jin
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.4
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    • pp.457-468
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    • 2007
  • This paper proposes an adaptive moving average (A-MA) control chart with variable sampling intervals (VSI) for detecting shifts in the process mean. The basic idea of the VSI A-MA chart is to adjust sampling intervals as well as to accumulate previous samples selectively in order to increase the sensitivity. The VSI A-MA chart employs a threshold limit to determine whether or not to increase sampling rate as well as to accumulate previous samples. If a standardized control statistic falls outside the threshold limit, the next sample is taken with higher sampling rate and is accumulated to calculate the next control statistic. If the control statistic falls within the threshold limit, the next sample is taken with lower sampling rate and only the sample is used to get the control statistic. The VSI A-MA chart produces an 'out-of-control' signal either when any control statistic falls outside the control limit or when L-consecutive control statistics fall outside the threshold limit. The control length L is introduced to prevent small mean shifts from being undetected for a long period. A Markov chain model is employed to investigate the VSI A-MA sampling process. Formulae related to the steady state average time-to signal (ATS) for an in-control state and out-of-control state are derived in closed forms. A statistical design procedure for the VSI A-MA chart is proposed. Comparative studies show that the proposed VSI A-MA chart is uniformly superior to the adaptive Cumulative sum (CUSUM) chart and to the Exponentially Weighted Moving Average (EWMA) chart, and is comparable to the variable sampling size (VSS) VSI EWMA chart with respect to the ATS performance.

Determining the Decision Limit of CUSUM Chart for A Fixed Sample Size

  • Kang, Chang Wook;Hawkins, Donglas M.
    • Journal of Korean Society for Quality Management
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    • v.20 no.1
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    • pp.1-10
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    • 1992
  • When we compare different control charting schemes, the average run length of each control chart is usually used. The use of the average run length implies that there is unbounded number of samples or observations. The regression recursive residuals, however, have been applied to the cumulative sum chart to detect whether the mean or variance changes. To implement choice of decision interval, we calculate the probability that certain fixed number of control statistics stay in the in-control state. This probability can be used as the significance level of a test for detecting the change in the residual mean or variance of the data with a finite number of observations.

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Numerical Switching Performances of Cumulative Sum Chart for Dispersion Matrix

  • Chang, Duk-Joon
    • Journal of Integrative Natural Science
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    • v.12 no.3
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    • pp.78-84
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    • 2019
  • In many cases, the quality of a product is determined by several correlated quality variables. Control charts have been used for a long time widely to control the production process and to quickly detect the assignable causes that may produce any deterioration in the quality of a product. Numerical switching performances of multivariate cumulative sum control chart for simultaneous monitoring all components in the dispersion matrix ${\Sigma}$ under multivariate normal process $N_p({\underline{\mu}},{\Sigma})$ are considered. Numerical performances were evaluated for various shifts of the values of variances and/or correlation coefficients in ${\Sigma}$. Our computational results show that if one wants to quick detect the small shifts in a process, CUSUM control chart with small reference value k is more efficient than large k in terms of average run length (ARL), average time to signal (ATS), average number of switches (ANSW).

Statistical Process Control Software developed by MS-EXCEL and Visual Basic (MS-EXCEL과 Visual Basic으로 개발한 통계적 공정관리 소프트웨어)

  • Han, Kyung-Soo;Ahn, Jeong-Yong
    • Journal of Korean Society for Quality Management
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    • v.24 no.2
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    • pp.172-178
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    • 1996
  • In this study, we developed a software for statistical process control. This software presents $\bar{x}$, R, CUSUM, EWMA control chart and process capability index. In this system, statistical process control methods are integrated into the automated method on a real time base. It is available in process control of specified type and can be performed on personal computer with network system.

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