• Title/Summary/Keyword: MR control chart

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Strain Analysis of Crust at the Stabilization Stage Using and Applied Statistical Analysis

  • Kim, Hyeong-Sin;Yun, Hyun-Seok;Chae, Byung-Gon;Choi, Jung-Hae;Seo, Yong-Seok
    • The Journal of Engineering Geology
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    • v.25 no.1
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    • pp.9-20
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    • 2015
  • A strainmeter goes through a period of instability immediately after installation. To determine the stability of strainmeters installed around the Andong fault zone, South Korea, an x-MR control chart analysis and a T2 control chart analysis were conducted. The x-MR control chart analysis used an empirically determined 3σ control limit line to identify abnormal data in recently installed strain gauges. In the T2 control chart analysis, the control limit line was set at a confidence of 95%. A comparison of the early stage of measurement with the terminal stage of measurement for three months after installation indicates that stabilization depends on the location and direction of each strain gauge in x-MR control chart analysis. In the T2 control chart analysis, the number of values exceeding the control limit line decreased as the terminal stage was approached. Based on these results, it is suggested that the 3σ control limit line of an x-MR control chart can be used as a standard for single gauge stability, and that the 95% confidence limit of a T2 control chart analysis could be used as the standard for the stability of multi-gauge strainmeters.

EWM-MR chart for individual measurements in start-up process (초기공정에서 개별관측치를 이용한 EWM-MR 관리도)

  • 지선수
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.47
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    • pp.211-218
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    • 1998
  • In start-up process control applications it may be necessary to limit the sample size to one measurement. A control chart for individual measurements is used whenever it is desirable to examine each individual value from the process immediately. A possible option would be to use an exponential weighted moving(EWM), using modifying statistics with individual measurement, chart for monitoring the process center, and using a moving range (MR) chart for monitoring process variability. In this paper it is shown that there is scheme in using the EWM procedure based on average run length. An expression for the ARL is given in terms of an integral equation, approximated using numerical quadrature. In this case, where it is reasonable to assume normality and negligible autocorrelation in the observations, provide graphs that simplify the design of EWM-MR chart and taking method of exponential smoothing constant(λ) and constant(K) are suggested. The charts suggested above evaluate using the conditional probability.

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Prediction of Slope Failure Using Control Chart Method (통계관리도 기법을 적용한 사면붕괴 예측)

  • Park, Sung-Yong;Chang, Dong-Su;Jung, Jae-Hoon;Kim, Young-Ju;Kim, Yong-Seong
    • Journal of the Korean Geosynthetics Society
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    • v.17 no.2
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    • pp.9-18
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    • 2018
  • In this study, a field model experiment was performed to analyze the bahavior of slope during failure. It was analyzed through x-MR control chart method with inverse displacement and K-value. As a result, the portent was confirmed at 4 minutes before slope failure in Case 1. The change of the control limit line according to moving range was analyzed and it was effective to apply K = 3. Use of the inverse displacement and x-MR control chart method will be useful for the prediction of abnormal behavior through quick and objective judgment. Prediction of slope failure using control chart method can be used as basic data of slope measurement management standard, and it can contribute in reduction of life and property damage caused by slope disaster.

Application of x-MR control chart on monitoring displacement for prediction of abnormal ground behaviour in tunnelling (터널 시공 중 이상 거동 예측을 위한 계측 변위의 x-MR 관리도 활용)

  • Yun, Hyun-Seok;Song, Gyu-Jin;Shin, Young-Wan;Kim, Chang-Yong;Choo, Seok-Yeon;Seo, Yong-Seok
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.16 no.5
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    • pp.445-458
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    • 2014
  • The displacement data monitored during tunnel construction play a crucial role in predicting the behaviour of ground around and ahead of excavation face. However, the management criteria for monitoring data are not well established especially for the reliable analysis on varying aspect of displacement data along with chainage. In this study, we evaluated the applicability of x-MR control chart method, which is kind of applied statistical management method, for the analysis of displacement monitoring data in terms of prediction of possible collapse or induced cracks. As a result, a possible abnormal behaviour could be predicted beforehand at 5 ~ 13 m ahead or on at least one day before it occurred by using x-MR control chart method. In addition, it is noted that the moving range for the x-MR control chart should be set to 5~10 for this purpose.

A Study on Convergency of Tunnel Displacement using Control Chart Method (관리도 기법을 이용한 터널 변위수렴 특성에 관한 연구)

  • Yim, Sung-Bin;Kim, Sung-Kwon;Seo, Yong-Seok;Park, Si-Hyun
    • The Journal of Engineering Geology
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    • v.17 no.2 s.52
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    • pp.197-204
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    • 2007
  • Tunnel deformation happens by excavation. After installation of support, tunnel is gradually stabilized over time. Effect of excavation on tunnel behavior decreases as increase of distance from face. If the time that the displacement converges by tunnel stabilization is estimated, processes after stabilization can be advanced and economic loss can be reduced. In this study, the distance of displacement convergent point from face in the tunnel constructed on sedimentary rock is estimated using control chart method. As the results of analysis using a control of chart, displacements in a sedimentary rock tunnel are converged within 100 m from each tunnel face.

Short Run Production Cusum IX Chart & MR Chart (짧은 생산 주기를 갖는 누적합 개별치 관리도와 이동범위 관리도)

  • 신숙현;나인성;조남호
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.24 no.65
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    • pp.1-9
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    • 2001
  • Enterprises 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 molt-functionalization and reduced product life which is caused by high-quality and varied customers demands. As a process control method, we must 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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Development of a Method for Detecting Unstable Behaviors in Flume Tests using a Univariate Statistical Approach

  • Kim, Seul-Bi;Seo, Yong-Seok;Kim, Hyeong-Sin;Chae, Byung-Gon;Choi, Jung-Hae;Kim, Ji-Soo
    • The Journal of Engineering Geology
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    • v.24 no.2
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    • pp.191-199
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    • 2014
  • We describe a method for detecting slope instability in flume tests using pore pressure and water content data in conjunction with a statistical control chart analysis. Specifically, we conducted univariate statistical analysis on x-MR control chart data (pore pressure and water content) collected at several points along the flume slope, which we separated into three parts: upper, middle, and lower. To assess our results in the context of landslide forecasting and warning systems, we applied control limit lines at $1{\sigma}$, $2{\sigma}$, and $3{\sigma}$ levels of uncertainty. In doing so, we observed that dispersion time varies depending on the control limit line used. Moreover, the detection of instabilities is highly dependent on the position and type of sensor. Our findings indicate that different characteristics of the data on various factors predict slope failure differently and these characteristics can be identified by univariate statistical analysis. Therefore, we suggest that a univariate statistical approach is an effective method for the early detection of slope instability.

A New Method for the Analysis of Measured Displacements during Tunnelling using Control Charts (관리도를 이용한 터널 시공현장 계측변위 분석 기법 개발)

  • Yim, Sung-Bin;Seo, Yong-Seok
    • The Journal of Engineering Geology
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    • v.19 no.3
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    • pp.261-268
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    • 2009
  • Tunnel measurements provide crucial information on the ground stability during the excavation, visualizing the ground behavioral characteristics with quantitative dada. Generally, the frequency of the measurements is greater during the early stage of the tunnelling process and reduced with time. However, there are no quantitative criteria established for either the activities, such as the time, location and frequency of the measurement or the management guidance, especially for the site of subtle and unexpected displacement during the excavation. It is, however, still challenging to assess behavioral characteristics of subtle and unexpected displacement after stabilization. In this study, we propose a new method to assess stability and to analysis the behavioral characteristics of subtle and unexpected displacement after stabilization using statistic control charts of displacements. We also present a test result on the applicability of control chart and CUSUM control chart to measured displacements.

Developments of real-time monitoring system to measure displacements on face of tunnel in weak rock (위험지반 터널 굴진면의 실시간 변위 감시를 위한 계측시스템 개발)

  • Yun, Hyun-Seok;Song, Gyu-Jin;Kim, Yeong-Bae;Kim, Chang-Yong;Seo, Yong-Seok
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.17 no.4
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    • pp.441-455
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    • 2015
  • In the present study, a face safety monitoring system was developed that will enable judging collapse risks on faces during tunnel construction to secure workers' safety. This system enables detecting abnormal behaviors of faces by analyzing the displacement of faces measured in real time using the x-MR control chart technique. In addition, an algorithm to judge false alarms was developed so that abnormal behaviors of faces and errors occurring in the process of work can be distinguished from each other by comparing the number of measured values exceeding the management criteria and moving range k. The results of the present study are applicable to real-time monitoring of behavior on the face in dangerous ground sections to minimize damage to workers.

Prediction of Fault Zone ahead of Tunnel Face Using Longitudinal Displacement Measured on Tunnel Face (터널 굴진면 수평변위를 이용한 굴진면 전방의 단층대 예측)

  • Song, Gyu-Jin;Yun, Hyun-Seok;Seo, Yong-Seok
    • The Journal of Engineering Geology
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    • v.26 no.2
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    • pp.187-196
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    • 2016
  • We conducted three-dimensional finite element analysis to predict the presence of upcoming fault zones during tunneling. The analysis considered longitudinal displacements measured at tunnel face, and used 28 numerical models with various fault attitudes. The x-MR (moving range) control chart was used to analyze quantitatively the effects of faults distributed ahead of the tunnel face, given the occurrence of a longitudinal displacement. The numerical models with fault were classified as fault gouge, fault breccia, and fault damage zones. The width of fault cores was set to 1 m (fault gouge 0.5 m and fault breccia 0.5 m) and the width of fault damage zones was set to 2 m. The results, suggest that fault centers could be predicted at 2~26 m ahead of the tunnel face and that faults could be predicted earliest in the 45° dip model. In addition, faults could be predicted earliest when the angle between the direction of tunnel advance and the strike of the fault was smallest.