• Title/Summary/Keyword: Statistical Control Chart

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SUPPLEMENTARY ANALYSES OF ECONOMIC X CHART MODEL

  • Jeon,Tae Bo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.12 no.1
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    • pp.111-111
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    • 1987
  • With the increasing interest of reducing process variation, statistical process control has served the pivotal tool in most industrial quality programs. In this study, system analyses have been performed associated with a cost incorporated version of a process control, a quadratic loss-based X over bar control chart model. Specifically, two issues, the capital/research investments for improvement of a system and the precision of a parameter estimation, have been addressed and discussed. Through the analysis of experimental results, we show that process variability is seen to be one of the most important sources of loss and quality improvement efforts should be directed to reduce this variability. We further derive the results that, even if the optimal designs may be sensitive, the model appears to be robust with regard to misspecification of parameters. The approach and discussion taken in this study provide a meaningful guide for proper process control. We conclude this study with providing general comments.

Optimal design of a nonparametric Shewhart-Lepage control chart (비모수적 Shewhart-Lepage 관리도의 최적 설계)

  • Lee, Sungmin;Lee, Jaeheon
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.2
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    • pp.339-348
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    • 2017
  • One of the major issues of statistical process control for variables data is monitoring both the mean and the standard deviation. The traditional approach to monitor these parameters is to simultaneously use two seperate control charts. However there have been some works on developing a single chart using a single plotting statistic for joint monitoring, and it is claimed that they are simpler and may be more appealing than the traditonal one from a practical point of view. When using these control charts for variables data, estimating in-control parameters and checking the normality assumption are the very important step. Nonparametric Shewhart-Lepage chart, proposed by Mukherjee and Chakraborti (2012), is an attractive option, because this chart uses only a single control statistic, and does not require the in-control parameters and the underlying continuous distribution. In this paper, we introduce the Shewhart-Lepage chart, and propose the design procedure to find the optimal diagnosis limits when the location and the scale parameters change simultaneously. We also compare the efficiency of the proposed method with that of Mukherjee and Chakraborti (2012).

Linear profile monitoring with random covariate (설명변수가 랜덤인 성형 프로파일 연구)

  • Kim, Daeun;Lee, Sungim;Lim, Johan
    • The Korean Journal of Applied Statistics
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    • v.35 no.3
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    • pp.335-346
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    • 2022
  • Profile control chart aims to detect a change in the functional relationship of multivariate characteristics in the statistical process control. In monitoring two variables, a linear profile is of interest composed of the intercept and slope of one variable (response variable) against the other (explanatory variable). The previous studies on monitoring of the linear profile mostly assume that the explanatory variables are the same for all profiles. However, there are also cases where they vary depending on profiles. This paper intends to extend the monitoring method to where explanatory variables are different for each profile. We compare the new method's performance through simulation and apply it to monitoring a network intrusion using NSL-KDD data.

Estimation of the Change Point in Monitoring the Mean of Autocorrelated Processes

  • Lee, Jae-Heon;Han, Jung-Hee;Jung, Sang-Hyun
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.155-167
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    • 2007
  • 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 mean of a process in which the observations can be modeled as an AR(1) process plus an additional random error. The performance of the proposed MLE is compared to the performance of the built-in estimator when they are used in EWMA charts based on the residuals. The results show that the proposed MLE provides good performance in terms of both accuracy and precision of the estimator.

Applicability of Statistical Evaluation to Power Quality Analysis (통계적 방법을 이용한 전력품질 관리방안)

  • Cho, Soo-Hwan;Jang, Gil-Soo;Kwon, Sae-Hyuk;Park, Sang-Ho;Jeon, Young-Soo;Kwak, No-Hong
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.22-24
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    • 2006
  • The installations of power quality monitoring system have increased drastically over the past several decades. These systems have been effectively used to monitor, analyze and diagnose the conditions of power system, and furthermore can be used to improve the present asset maintenance policy, scheduled (time-based) method, into the advanced, cost-effective and labor-effective maintenance methods, such as condition-based maintenance, predictive maintenance and reliability centered maintenance. As an approach to this, this paper introduces the statistical methods, three kinds of control charts (Shewhart chart, CUSUM chart and EWMA chart), and discusses the applicability of these methods to recognize the changing trends of power quality indices and to estimate the system's condition, using Matlab.

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Comparison of the Unbiasing Constants in Connection with Variable Control Charts (계량형 관리도와 관련된 불편화 상수의 비교)

  • Ahn, Haeil
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.4
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    • pp.134-144
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    • 2014
  • With the advent of lean-six sigma era, an extensive use of analytic tools such as control charts is required in the field of manufacturing. In relation to statistical quality control (SQC) or process control (SPC), the Korean standards have undergone a meaningful change. In this study, the theoretic backgrounds for evaluating the control limits in connection with the variable control charts are examined in view of better understanding the related constants and coefficients. This paper is intended to help the quality control practitioners understand the mathematical backgrounds by comparing related quality control constants and also to encourage them to make use of and to take the advantage of the variable control charts which are very useful for implementing the concept of lean-six sigma in many industrial sites.

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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Integrated Management of Digital Topographic Map and Digital Nautical Chart Using Analysis of Control Points in Precise DGPS Surveying (정밀 DGPS측량의 기준점 분석에 따른 수치지형도와 수치해도의 통합관리)

  • Jang Yong-Gu;Kim Sang-Seok
    • Journal of Navigation and Port Research
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    • v.29 no.3 s.99
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    • pp.269-274
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    • 2005
  • Geodetic surveying using precise GPS equipment are used without analysis with a statistical verification of GPS observed value and it was preformed by necessity to integration projection of digital topographic map and nautical Chart for integration geographic information system construction. The purpose of this study proposes method that improve accuracy of GPS observed value and direction that integrally manage digital topographic map and electronic nautical chart in analyzing the boundary line error between digital topographic map and nautical Chart. For improvement of the precision of GPS observed value, the author studied precision-analysis of GPS observed value by geometric strength and variance factor in 3 control points used in GPS network adjustment. And like this, produce EDM measurement using this GPS observation results and compare the whole boundary point error when set digital topographic map and nautical chart by these boundary.

Development of Integrated Variable Sampling Interval Engineering Process Control & Statistical Process Control System (가변 샘플링간격 EPC/SPC 결합시스템의 개발)

  • Lee, Seong-Jae;Seo, Sun-Geun
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.723-729
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    • 2005
  • Traditional statistical process control(SPC) applied to discrete part industry in the form of control charts can look for and eliminate assignable causes by process monitoring. On the other hand, engineering process control(EPC) applied to the process industry in the form of feedback control can maintain the process output on the target by continual adjustment of input variable. This study presents controlling and monitoring rules adopted variable sampling interval(VSI) to change sampling intervals in a predetermined fashion on the predicted process levels for integrated EPC and SPC systems. Twelve rules classified by EPC schemes(MMSE, constrained PI, bounded or deadband adjustment policy) and type of sampling interval combined with EWMA chart of SPC are proposed under IMA(1,1) disturbance model and zero-order (responsive) dynamic system. The properties of twelve control rules under three patterns of process change(sudden shift, drift and random shift) are evaluated and discussed through simulation and control rules for integrated VSI EPC and SPC systems are recommended.

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QUALITY IMPROVEMENT FOR EXPERT BASE WITH CONTROL CHART TECHNIQUES

  • Liu Yumin;Xu Jichao
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.189-197
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    • 1998
  • The axiomatic hypothesis of the objective distribution of evaluation subjection will be proposed in this paper. On the basis of that, set up the random response model of the expert evaluation system and the quality control principle of expert base. Under this principle, develop the statistical quality control theory of expert base, further; provide the quality improvement technology for expert base.

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