• Title/Summary/Keyword: 공정평균이동

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Modifications of single and double EWMA feedback controllers for balancing the mean squared deviation and the adjustment variance (편차제곱평균과 수정량분산의 균형을 위한 단일 및 이중 지수가중이동평균 피드백 수정기의 수정)

  • Park, Chang-Soon;Kwon, Sung-Gu
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.1
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    • pp.11-24
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    • 2009
  • The process controller in the adjustment procedure is often used effectively to control the process level close to target when noise is present and unremovable. Examples of the robust controller are single EWMA controller and double EWMA controller. Double EWMA controller is designed to reduce the offset of the process deviation, which single EWMA can not eliminate. In this paper, the two controllers are modified by taking EWMA of the original controller to reduce the adjustment variance, which may become excessively large when the two given controllers are implemented. It is shown that the EWMA modification of the given controllers is successful in reducing the adjustment variance, while the mean squared deviation increases slightly.

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EWMA control chart for Katz family of distributions (카즈분포족에 대한 지수가중이동평균관리도)

  • Cho, Gyo-Young
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.4
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    • pp.681-688
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    • 2010
  • In statistical process control, the primary method used to monitor the number of nonconformities is the c-chart. The conventional c-chart is based on the assumption that the occurrence of nonconformities in samples is well modeled by a Poisson distribution. When the Poisson assumption is not met, the X-chart is often used as an alternative charting scheme in practice. And EWMA control chart is used when it is desirable to detect out-of-control situations very quickly because of sensitive to a small or gradual drift in the process.

Optimal Adjustment of Misestimated Control Model for a Process with Shift and White Noise (백색잡음과 Shift가 존재하는 공정에서 제어식이 부정확한 경우의 최적 보정)

  • Hwang, Ji-Bin;Kim, Ji-Hyun;Lee, Jae-Hyun;Kim, Sung-Shick
    • Journal of the Korea Society for Simulation
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    • v.16 no.4
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    • pp.43-55
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    • 2007
  • Moving average(MA) and exponentially weighted moving average(EWMA) are the two most popular control methods in manufacturing. Both methods are optimized under the assumption that the exact control equation is known. This paper focuses on the problems rising from estimation errors. Based on the accuracy of the estimated parameter and the range of the weight parameter $\lambda$, the limitations are identified and the performance of methods are evaluated. Optimal adjustment for process shift with misestimated control model and its application control methods to actual process is researched. The efficiency of proposed method is evaluated through simulation.

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Research Results and Trends Analysis for EWMA Control Chart of Manufacturing Processes (제조공정에서 EWMA 관리도의 적용에 관한 연구동향 분석)

  • Kim, Jong-Gurl;Um, Sang-Jun;Choi, Sung-Won;Kim, Dong-Nyuk
    • Proceedings of the Safety Management and Science Conference
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    • 2013.04a
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    • pp.581-591
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    • 2013
  • 제조공정에서 사용되어 지는 SPC(Statistical Process Control)관리 기법은 가피원인을 탐지하여 변동을 감소시키는 통계적 공정관리 시스템이다. SPC의 대표적인 관리 기법으로는 Shewhart관리도, Cusum관리도, EWMA관리도가 있으며 이러한 관리 기법들은 공정을 보다 안정적으로 관리 할 수 있도록 유지 및 예측하는데 사용 되어 진다. 하지만 제조 공정의 유형에 따라 샘플링 방법, 관리한계선 등을 다양하게 설정하여 보다 효율적인 관리를 모색하고 있다. 공정 형태에 따라 다양한 관리 방법과 분석 결과가 나타난다. 일반적으로 Xbar-R 관리도와 같은 Shewhart 관리도를 사용하지만 Batch 단위의 공정, 연속 공정의 라인에서 사용되기에는 부분적인 한계를 보이고 있다. 본 논문에서는 일반적인 관리도와 공정 변화에 민감하게 반응 할 수 있는 누적합 관리도와 지수가중치이동평균 관리도를 비교해 보고 작은 변동에 대한 탐지 능력이 우수한 지수가중치이동평균 관리도에 대한 연구동향과 사례를 분석하여 제조 공정에 적합한 관리 방법을 모색하고자 한다.

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A Robust EWMA Control Chart (로버스트 지수가중 이동평균(EWMA) 관리도)

  • Nam, Ho-Soo;Lee, Byung-Gun;Joo, Cheol-Min
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.233-241
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    • 1999
  • Control chart is a very extensively used tool in testing whether a process is in a state of statistical control or not. In this paper, we propose a robust EWMA(exponentially weighted moving averages) control chart for variables, which is based on the Huber's M-estimator. The Huber's M-estimator is a well-known robust estimator in sense of distributional robustness. In the proposed chart, the estimation of the process deviation is modified to have a s table level and high power. To compare the performances of the proposed control chart with other charts, some Monte Carlo simulations we performed. The simulation results show that the robust EWMA control chart has good performance.

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Procedure for monitoring special causes and readjustment in ARMA(1,1) noise model (자기회귀이동평균(1,1) 잡음모형에서 이상원인 탐지 및 재수정 절차)

  • Lee, Jae-Heon;Kim, Mi-Jung
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.841-852
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    • 2010
  • An integrated process control (IPC) procedure is a scheme which simultaneously applies the engineering control procedure (EPC) and statistical control procedure (SPC) techniques to reduce the variation of a process. In the IPC procedure, the observed deviations are monitored during the process where adjustments are repeatedly done by its controller. Because the effects of the noise, the special cause, and the adjustment are mixed, the use and properties of the SPC procedure for the out-of-control process are complicated. This paper considers efficiency of EWMA charts for detecting special causes in an ARMA(1,1) noise model with a minimum mean squared error adjustment policy. And we propose the readjustment procedure after having a true signal. This procedure can be considered when the elimination of the special cause is not practically possible.

A Process Mean Shift Model Considering The Increasing Maintenance Cost and The Decreasing Production Volume (보전비용 증가와 생산량 감소를 고려한 공정평균이동 모형)

  • Lee, Do-Kyung
    • Journal of Convergence for Information Technology
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    • v.11 no.3
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    • pp.125-131
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    • 2021
  • The problem of determining the maintenance point which minimizes the process-related total cost is called the 'process mean shift problem'. By expanding and integrating the existing maintenance models that have been partially progressed, we present a expanded and integrated maintenance model which reflects the production site where various situations occur. To implement this, we set both the upper and lower limits of the product specification, and adopted the quality loss function for conforming items. Also, we set the process variance of the wear level as a function rather than a constant. In this study, we developed two general functions to the wear level. One is about the production volume and the other is maintenance cost. As a result, this study is expected to be a maintenance model that can be applied to various processes. In the future, this study can be developed as a profit maximization model by adding profit items from product sales, and expansion to a maintenance model that introduces failure to the model of this study can be considered.

Change point estimators in monitoring the parameters of an IMA(1,1) model (누적이동평균(1,1) 모형에서 공정 변화시점의 추정)

  • Lee, Ho-Yun;Lee, Jae-Heon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.2
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    • pp.435-443
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    • 2009
  • Knowing the time of the process change could lead to quicker identification of the responsible special cause and less process down time, and it could help to reduce the probability of incorrectly identifying the special cause. In this paper, we propose the maximum likelihood estimator (MLE) for the process change point when a control chart is used in monitoring the parameters of a process in which the observations can be modeled as a IMA(1,1).

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EWMA control charts for monitoring three parameter regions (3개의 모수영역을 모니터링하는 EWMA 관리도)

  • Yukyung, Kim;Jaeheon, Lee
    • The Korean Journal of Applied Statistics
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    • v.35 no.6
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    • pp.725-737
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    • 2022
  • In the standard assumption of statistical process monitoring (SPM) under consideration, the in-control region of the control parameter of quality characteristic consists of a single point. However, if small deviations from the ideal situation may not be of practical importance, the parametric space can consist of three regions: In-control, indifference, and out-of-control. In this paper, we propose two exponentially weighted moving average (EWMA) charting procedures applicable to the situation with three parameter regions, and compare the efficiency of the proposed procedures with the Shewhart chart and the cumulative sum (CUSUM) chart.

A Study on Precision Measurement System for Metal Plate Surface Quality Using Moving Average Image Processing Techniques (이동평균 영상처리기법을 이용한 금속판재 표면품질 정밀 측정시스템 연구)

  • Kim, Tae-Soo;Chun, Joong-Chang
    • Journal of Korea Society of Industrial Information Systems
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    • v.17 no.2
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    • pp.73-80
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    • 2012
  • It has been highly required to develope an automatic metal surface inspection system, specifically using image processing techniques, which can replace the visual inspection method in the steel industry. In this paper, we propose a precisional surface measurement system using the moving average image processing technique. When the surface patterns which are generated in the rolling process of metal plates are recognized as defects, the proposed system can measure the actual number of defects. It has been proved that our system shows better results than the conventional FFT method.