• Title/Summary/Keyword: X chart

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Estimation of Image Quality of the Radiographs by Hawlet Chart (Hawlet Chart에 의한 X선사진(線寫眞)의 화질평가(畵質評價))

  • Huh, Joon;Kim, Chang-Kyun;Gang, Hong-Seok
    • Journal of radiological science and technology
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    • v.8 no.2
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    • pp.83-87
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    • 1985
  • There are various kinds of methods to estimate the image quality of x-ray film. The Hawlet-chart is one of the methods to estimate the depiction power of x-ray film image. Authors made a test using the Hawlet-chart in clinical field and demonstrated the superiority of utility value.

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Comparison and Evaluation of Performance for Standard Control Limits and Bootstrap Percentile Control Limits in $\bar{x}$ Control Chart ($\bar{x}$ 관리도의 표준관리한계와 부트스트랩 백분률 관리한계의 수행도 비교평가)

  • 송서일;이만웅
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.52
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    • pp.347-354
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    • 1999
  • Statistical Process Control(SPC) which uses control charts is widely used to inspect and improve manufacturing process as a effective method. A parametric method is the most common in statistical process control. Shewhart chart was made under the assumption that measurements are independent and normal distribution. In practice, this assumption is often excluded, for example, in case of (equation omitted) chart, when the subgroup sample is small or correlation, it happens that measured data have bias or rejection of the normality test. A bootstrap method can be used in such a situation, which is calculated by resampling procedure without pre-distribution assumption. In this study, applying bootstrap percentile method to (equation omitted) chart, it is compared and evaluated standard process control limit with bootstrap percentile control limit. Also, under the normal and non-normal distributions, where parameter is 0.5, using computer simulation, it is compared standard parametric with bootstrap method which is used to decide process control limits in process quality.

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The Exponentially Weighted Moving Average Control Charts

  • Jeon, Jae-Kyeong;Goo, Bon-chul;Song, Suh-ill
    • Journal of Korean Society for Quality Management
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    • v.19 no.2
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    • pp.172-180
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    • 1991
  • The null hypothesis being tested by $the{\bar{X}}$ control chart is that the process is in control at a quality level ${\mu}o$. An ${\bar{X}}control$ chart is a tool for detecting process average changes due to assingnable causes. The major weakness of $the{\bar{X}}$ control chart is that it is relatively insensitive to small changes in the population mean. This paper presents one way to remedy this weakness is to allow each plotted value to depend not only on the most recent subgroup average but on some of the other subgroup averages as well. Two approaches for doing this are based on (1) moving averages and (2) exponentially weighted moving averages of forecasting method.

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Capability Analysis of Sensory Quality of Jajang Sauce

  • Imm, Bue-Young;Lee, Ji-Hye;Yeo, Ik-Hyun
    • Food Science and Biotechnology
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    • v.18 no.3
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    • pp.745-748
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    • 2009
  • Sensory quality variations of jajang sauce were monitored by the $\bar{X}-chart$ and capability analysis based on specifications of each sensory attributes. For sensory quality control (QC) of the sauce which has a strong sweetness and sourness, the ratio of sourness/sweetness was examined as a necessary QC factor to maintain the balance of sweetness and sourness. For the sensory QC factors, all the sensory data were divided into individual sensory score of reference which was a pack of sauce manufactured a week ago. The ratio form of sensory data was useful for decreasing individual variations and for increasing normality of data measured by category scale. The overall proportion of out-spec products under normal manufacturing conditions was obtained by capability analysis of sensory data with normal distribution. Out-spec samples were monitored by the $\bar{X}-chart$ of each sensory attributes.

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.

Statistical Design of X Control Chart with Improved 2-of-3 Main and Supplementary Runs Rules (개선된 3 중 2 주 및 보조 런 규칙을 가진 X관리도의 통계적 설계)

  • Park, Jin-Young;Seo, Sun-Keun
    • Journal of Korean Society for Quality Management
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    • v.40 no.4
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    • pp.467-480
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    • 2012
  • Purpose: This paper introduces new 2-of-3 main and supplementary runs rules to increase the performance of the classical $\bar{X}$ control chart for detecting small process shifts. Methods: The proposed runs rules are compared with other competitive runs rules by numerical experiments. Nonlinear optimization problem to minimize the out-of-control ARL at a specified shift of process mean for determining action and warning limits at a time is formulated and a procedure to find two limits is illustrated with a numerical example. Results: The proposed 2-of-3 main and supplementary runs rules demonstrate an improved performance over other runs rules in detecting a sudden shift of process mean by simultaneous changes of mean and standard deviation. Conclusion: To increase the performance in the detection of small to moderate shifts, the proposed runs rules will be used with $\bar{X}$ control charts.

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.

Design of Expected Loss Control Chart Considering Economic Loss (경제적 손실을 고려한 기대손실 관리도의 설계)

  • Kim, Dong-Hyuk;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.36 no.2
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    • pp.56-62
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    • 2013
  • Control chart is representative tool of Statistical Process Control (SPC). But, it is not given information about the economic loss that occurs when a product is produced characteristic value does not match the target value of the process. In order to manage the process, we should consider not only stability of the variation also produce products with a high degree of matching the target value that is most ideal quality characteristics. There is a need for process control in consideration of economic loss. In this paper, we design a new control chart using the quadratic loss function of Taguchi. And we demonstrate effectiveness of new control chart by compare its ARL with ${\overline{x}}-R$ control chart.

Design of Median Control Chart for Unsymmetrical Weibull Distribution (비대칭(非對稱)와이블분포공정(分布工程)에서 메디안특수관리도(特殊管理圖)의 설계(設計))

  • Sin, Yong-Baek;Hwang, Ui-Mi
    • Journal of Korean Society for Quality Management
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    • v.14 no.2
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    • pp.2-8
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    • 1986
  • This thesis is concerned with the design of control chart based on the sample median which is easy to use in practical situations and to analyze the properties for non-normally distributed Weibull process. In this cases are use to the quality characteristics of the process are not normally distributed but skewed due to the intermitted production, small lot size and sample size is small one n=3 or n=5, etc. And when it relates unsymmetrically distributed process, model designed median control chart is more effective than Shewhart $\bar{x}$-chart which assumed on normal distribution, when we exactly should be known Weibull distribution or estimated. The median control chart in this thesis is more robustness compared with other conventionally developed control chart.

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Economic Design of $\bar{X}$ Control Chart Using a Surrogate Variable (대용변수를 이용한 $\bar{X}$ 관리도의 경제적 설계)

  • Lee, Tae-Hoon;Lee, Jae-Hoon;Lee, Min-Koo;Lee, Joo-Ho
    • Journal of Korean Society for Quality Management
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    • v.37 no.2
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    • pp.46-57
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    • 2009
  • The traditional approach to economic design of control charts is based on the assumption that a process is monitored using a performance variable. However, various types of automatic test equipments recently introduced as a part of factory automation usually measure surrogate variables instead of performance variables that are costly to measure. In this article we propose a model for economic design of a control chart which uses a surrogate variable that is highly correlated with the performance variable. The optimum values of the design parameters are determined by maximizing the total average income per cycle time. Numerical studies are performed to compare the proposed $\bar{X}$ control charts with the traditional model using the examples in Panagos et al. (1985).