• Title/Summary/Keyword: Use of Control Charts

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Multivariate SPC Charts for On-line Monitoring the Batch Processes (배치 공정의 온라인 모니터링을 위한 다변량 관리도)

  • Lee Bae Jin;Kang Chang Wook
    • Proceedings of the Society of Korea Industrial and System Engineering Conference
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    • 2002.05a
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    • pp.387-396
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    • 2002
  • Batch processes are a significant class of processes in the process industry and play an important role in the production of high quality speciality materials. Examples include the production of semiconductors, chemicals, pharmaceuticals, and biochemicals. With on-line sensors connected to most batch processes, massive amounts of data are being collected routinely during the batch on easily measured process variables such as temperatures, pressures, and flowrates. In this paper, multivariate SPC charts for on-line monitoring of the progress of new batches are developed which utilize the information in the on-line measurements in real-time. We propose the formation of statistical model which describes the normal operation of a batch at each time interval during the batch operation. An on-line monitoring scheme based on the proposed method can handle both cross-correlation among process variables at any one time and auto-correlation over time. And the control limits for the monitoring charts are established from sound statistical framework unlike previous researches which use the external reference distribution. The proposed charts perform real-time, on-line monitoring to ensure that the batch is progressing in a manner that will lead to a high-quality product or to detect and indicate faults that can be corrected prior to completion of the batch. This approach is capable of tracking the progress of new batch runs, identifying the time periods in which the fault occurred and detecting underlying cause.

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Comparison of two sampling intervals and three sampling intervals VSI charts for monitoring both means and variances

  • Chang, Duk-Joon
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.4
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    • pp.997-1006
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    • 2015
  • In industrial quality control, when engineers use VSI control procedure they should consider both required time to signal and switching behaviors together in the case of production process changed. Up to the present, many researchers have studied fixed sampling interval (FSI) chart and variable sampling interval (VSI) chart in the points of average number of samples to signal (ANSS) and average time to signal (ATS). However, ANSS and ATS do not provide any switching information between different sampling intervals of VSI schemes. In this study, performances of two sampling intervals VSI chart and three sampling intervals VSI chart are evaluated and compared. The numerical results show that ANSS and ATS values of two sampling intervals VSI chart and three sampling interval VSI chart are similar regardless the amount of shifts. However, the values of switching behaviors including ANSW are less efficient in three sampling intervals VSI charts than in two sampling intervals VSI chart.

Design of Median Control Chart for Nonnormally Distributed Processes (비정규분포공정(非正規分布工程)에서 메디안특수관리도(特殊管理圖)의 모형설계(模型設計))

  • Sin, Yong-Baek
    • Journal of Korean Society for Quality Management
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    • v.15 no.2
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    • pp.10-19
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    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\overline{X}$-chart, X-chart, $\widetilde{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In the Shewhart $\overline{X}$-chart, which is the most widely used one in Korea, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, and Truncated-normal distributions.

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Performance Evaluation of $\bar{x}$ and EWMA Control Charts using Bootstrap Technique in the Presence of Correlation (상관관계의 존재하에서 붓스트랩 기법을 이용한 $\bar{x}$ 와 EWMA관리도의 수행도 평가)

  • Shon Han-Deak;Song Suh-Ill
    • Proceedings of the Society of Korea Industrial and System Engineering Conference
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    • 2002.05a
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    • pp.365-370
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    • 2002
  • In this study, according to MARMA(1,0) model which was suggested by Seppala, in case of existing autocorrelation in X control chart and EWMA control chart, the standard method and the non-parametric bootstrap method were compared and analysed using the bootstrap method which use the resampling prediction residual.

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An $\overline{X}$-Control Chart Based on the Gini′s Mean Difference (지니(Gini)의 평균차이에 기초한 $\overline{X}$-관리도)

  • 남호수;강중철
    • Journal of Korean Society for Quality Management
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    • v.29 no.3
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    • pp.79-85
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    • 2001
  • Estimation of the process deviation is an important problem in statistical process control, especially in the control chart, process capability analysis or measurement system analysis. In this paper we suggest the use of the Gini's mean difference for the estimation of the process deviation when we design the control limits in construction of the control charts. The efficiency of the Gini's mean difference was well explained in Nam, Lee and Jung(2000). In this paper we propose an $\overline{X}$ control chart which use the control limits based on the Gini's mean difference. In various classes of distributions, the proposed control chart shows food performance.

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Implementation of Integrated Control Chart Using Zone, Multivariate $T^2$ and ARIMA (Zone, 다변량 $T^2$, ARIMA를 이용한 통합관리도의 적용방안)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2010.04a
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    • pp.259-265
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    • 2010
  • The research discusses the implementation of control charts tools of MINITAB which are classified according to the type of data and the existence of subgrouping, weight and multivariate covariance. The paper presents the three integrated models by the use of zone, multivariate $T^2$-GV(Generalized Variance) and ARIMA(Autoregressive Integrated Moving Average).

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A Study on the Special Purpose Control Chart for Non-normal Distribution (비정규분포공정(非正規分布工程)에서 특수관리도(特殊管理圖)의 적용연구(適用硏究))

  • Sin, Yong-Baek;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.14 no.1
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    • pp.11-18
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    • 1986
  • Whereas in non-symmetrical distribution manufacturing process they are not plotted relatively on the centeral line but plotted on the skew of right-hand side or left-hand side. That is to say, for the prupose of producing either upper-specification-oriented items or lower-specification-oriented items, and when we carry out tighter control so as to have them pass only its specifications, the distribution shape naturally has a non-normal distribution. In these cases, we could use either compressed control limits or variable transformed logarithm control charts. It the above mentioned methods were not available, we should use special purpose control chart-Mode control chart or Gram-Charlier control chart. These are proper methods for manufacturing process control which uses control chart method. In spite of these methods, domestic manufacturing and mining companies are utterly ignorant about these methods. That invites practical problems in their companies. To enhance this improvements, I proved the property of practical applications of control chart method by comparing and analyzing the case studies of practical application of speical purpose control chart method, and also by introducing the application methods.

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The Integrated Cyber SRM(Security Risk Monitoring) System Based on the Patterns of Cyber Security Charts

  • Lee, Gang-Soo;Jung, Hyun Mi
    • Journal of the Korea Society of Computer and Information
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    • v.24 no.11
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    • pp.99-107
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    • 2019
  • The "Risk management" and "Security monitoring" activities for cyber security are deeply correlated in that they prepare for future security threats and minimize security incidents. In addition, it is effective to apply a pattern model that visually demonstrates to an administrator the threat to that information asset in both the risk management and the security system areas. Validated pattern models have long-standing "control chart" models in the traditional quality control sector, but lack the use of information systems in cyber risk management and security systems. In this paper, a cyber Security Risk Monitoring (SRM) system that integrates risk management and a security system was designed. The SRM presents a strategy for applying 'security control' using the pattern of 'control charts'. The security measures were integrated with the existing set of standardized security measures, ISMS, NIST SP 800-53 and CC. Using this information, we analyzed the warning trends of the cyber crisis in Korea for four years from 2014 to 2018 and this enables us to establish more flexible security measures in the future.

Robust Control Chart using Bootstrap Method (붓스트랩 방법을 이용한 로버스트 관리도)

  • 송서일;조영찬;박현규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.26 no.3
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    • pp.39-49
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    • 2003
  • Statistical process cintrol is intended to assist operators of a stable system in monitoring whether a change has occurred in the process, and it uses several control charts as main tools. In design and use of control chart, it is rational that probability of false alarm is minimized in stable process and probability of detecting shifts is maximized in out-of-control. In this study, we establish bootstrap control limits for robust M-estimator chart by applying the bootstrap method, called resampling, which could not demand assumptions about pre-distribution when the process is skewed and/or the normality assumption is doubt. The results obtained in this study are summarized as follows : bootstrap M-estimator control chart is developed for applying bootstrap method to M-estimator chart, which is more robust to keep ARL when process contain contaminate quality characteristic.

Median Control Chart for Nonnormally Distributed Processes (비정규분포공정에서 메디안특수관리도 통용모형설정에 관한 실증적 연구(요약))

  • 신용백
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.10 no.16
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    • pp.101-106
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    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\bar{X}$-chart, $\bar{X}$-chart, $\bar{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart $\bar{X}$-chart. which is the most widely used one in Kora, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the $\bar{X}$-chart; the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the $\bar{X}$-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based oh a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $\chi$$^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the proposed median chart and the $\bar{X}$ chart was also performed with these examples and the median chart turned out to be superior to the $\bar{X}$-chart.

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