• 제목/요약/키워드: Statistic Process Control

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Implementation of Markov chain: Review and new application (관리도에서 Markov연쇄의 적용: 복습 및 새로운 응용)

  • Park, Changsoon
    • The Korean Journal of Applied Statistics
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    • v.34 no.4
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    • pp.537-556
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    • 2021
  • Properties of statistical process control procedures may not be derived analytically in many cases; however, the application of a Markov chain can solve such problems. This article shows how to derive the properties of the process control procedures using the generated Markov chains when the control statistic satisfies the Markov property. Markov chain approaches that appear in the literature (such as the statistical design and economic design of the control chart as well as the variable sampling rate design) are reviewed along with the introduction of research results for application to a new control procedure and reset chart. The joint application of a Markov chain approach and analytical solutions (when available) can guarantee the correct derivation of the properties. A Markov chain approach is recommended over simulation studies due to its precise derivation of properties and short calculation times.

Effect of Slag Dumping on Heavy Metals in the Neighbour Sea and Direction of Recycling on Slag (제철 슬래그(Slag) 매립으로 인한 인근 해역의 중금속 오염도 변화 및 재활용 방향에 대한 연구)

  • Chung, Yong;Kim, Yong-Bum;Kwan, Yong-Sik;Lee, Sun-Hi
    • Journal of Environmental Impact Assessment
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    • v.5 no.2
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    • pp.21-31
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    • 1996
  • To assess the impact resulted from the slag dumping, we studied that the changes in the concentration of heavy metal were researched through the statistic analysis at 4 stations in Yongil bay, Korea from 1988 to 1995. And in order to clarify resulting from the changes in heavy metal concentration due to be leaked out from dumped slag, it was fulfilled experiments of the slag extraction. In the extracting experiment, Pb and As were only leaked out from slag aged during 10 days but all of heavy metals were not from it aged during 90 or 180 days. It was found that the concentrations of heavy metals in sea water of vincinity of slag dumping area were still remained in similar, comparing with it of control site(site 4) when they were by analysed statistic method, anova test and Mann-Whitney test. The slag recycling ratio of our country is lower than foreign country. While we need to apply a new process for phosphate treatment, foreign country already apply a slag to phosphorous removal. We suggest that slag dumping cannot putatively affected the changes in the concentration of heavy metal. And we thought that impact of heavy metal induced by slag dumping was not severe. So, it is necessary to utilize this process in phosphorous removal, like a foreign country.

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Development of Automated Non-contact Thickness Measurement Machine using a Laser Sensor (레이저센서를 이용한 비접촉식 두께자동측정기 개발)

  • Cho, Kyung-Chul;Kim, Soo-Youn;Shin, Ki-Yeol
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.14 no.2
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    • pp.51-58
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    • 2015
  • In this study, we developed an automated non-contact thickness measurement machine that continuously and precisely measures the thickness and warp of a PCB product using a laser sensor. The system contains a measurement part to measure the thickness in real time automatically according to the set conditions with an alignment supply unit and unloading unit to separate OK and NG products. The measurement machine was utilized to evaluate the performance at each step to minimize measurement error. At the zero setting for the initial setup, the standard deviation of the 216 samples was determined to be $5.52{\mu}m$. A measurement error of 0.5mm and 1.0mm as a standard sample in the measurement accuracy assessment was found to be 2.48% and 2.28%, respectively. In the factory acceptance test, the standard deviation of 1.461mm PCB was measured as $28.99{\mu}m$, with a $C_{pk}$ of 1.2. The automatic thickness measurement machine developed in this study can contribute to productivity and quality improvement in the mass production process.

A Study on the Reliability Demonstration for Korea High Speed Train Control System (한국형고속철도 열차제어시스템 하부구성요소 신뢰도입증에 관한 연구)

  • Lee, Jae-Ho;Lee, Kang-Mi;Kim, Young-Kyu;Shin, Duc-Ko
    • Journal of the Korean Society for Railway
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    • v.9 no.6 s.37
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    • pp.732-738
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    • 2006
  • This research provides a scheme for Highly Accelerated Stress Test that is necessary to demonstrate reliability prediction of Korean Rapid Transit Railway Train Control System sub-equipment, which is calculated by a relevant standard for failure rate prediction of electronic products. Although determining failure information generated in the process of trial running by statistic analysis is widely accepted as a measure of confirmation for reliability prediction, this research suggests the modeling for System Life Test determined by accelerating stress factors as a measure of confirmation for reliability prediction of sub-equipment unit that is generated ahead of a trial running in System Life Cycle. Consequently, the research demonstrates sub-equipment unit reliability test, which is based on the model derived from Accelerated Stress Test, according to accuracy level and the number of samples, and conducts an official experiment by making out a reliability test procedure sheet based on test time as well.

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).

A Study on the Effects of Vocational High School Students' Smoking Cessation Program Operation - Focused on the Transtheoretical Model - (실업계 고등학생의 금연프로그램 운영 효과에 관한 연구 - 범이론적 모형(Transtheoretical Model)을 중심으로 -)

  • Lee Hye Sook
    • Journal of Korean Public Health Nursing
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    • v.18 no.2
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    • pp.205-217
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    • 2004
  • This study conducted a survey with the 67 students who are in their 2nd year at 3 vocational high schools. The researcher of this study developed and operated the smoking cessation program based on the Transtheoretical model. To evaluate the effects, experiments were repeatedly done. The data were collected from June 21, 2004 till July 9, 2004. The survey was done based on the questionnaire-interview before and after education. The collected date was computerized by using SPSS-WIN 10.0 program. The results are as follows: Firstly. before education, the smoking cessation stage of change shows precontemplation stage $37.3\%$, preparation stage $37.3\%$, and contemplation stage $25.4\%$ respectively. However, after education it shows preparation stage $44.8\%$, action stage $25.4\%$, contemplation stage $19.4\%$, precontemplation stage $10.4\%$. The positive result was $62.7\%$ and smoking cessation stage of change made a 0.9 step increase. Secondly, process of change rose in all the areas except helping relationship. It also shows statistical improvement in all the fields except the dramatic relief of the experiential process, the helping relationship of behavioral process and stimulus control Thirdly, negative affective situation temptation, positive social situation temptation, and habitual strength temptation's average points decreased but showed statistical differences. Weight control temptation's average points decreased after education but didn't show statistical differences. Self efficiency increased measurably after education. Fourthly, concerning the social pros and coping pros caused by smoking, the average points were low after education and showed statistic decrease. As for the cons due to smoking, the average points increased but didn't show any statistical differences. In conclusion, thanks to the smoking cessation program applied by the Transtheoretical model, the smoking rate of vocational high school students became low and their smoking temptation also dropped considerably. In conclusion, while the pros for smoking were lessened, its corns were heightened through the educational awareness offered by this program.

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Percentile-based design of exponentially weighted moving average charts (지수가중이동평균 관리도의 백분위수 기반 설계)

  • Jiyun Ku;Jaeheon Lee
    • The Korean Journal of Applied Statistics
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    • v.37 no.2
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    • pp.177-189
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    • 2024
  • The run length is defined as the number of samples or subgroups taken before the control chart statistic exceeds the control limits. Because the distribution of run length is typically asymmetric and has a large variability, it may not be appropriate to use ARL (average run length) alone to design control charts and evaluate performance. In this paper, we introduce the concept of percentile (PL)-based design of control charts, and propose the procedure for PL-based design of EWMA (exponentially weighted moving average) charts. For the PL-based design of EWMA, we present a fitted function for the control chart coefficient, given specific percentile parameters. Additionally, we perform simulations to compare the proposed design with the ARL-based design. The simulation results show that the proposed design yields improvements in monitoring in-control processes while maintaining the ability to detect out-of-control performance.

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.

A Note for 1.5σ Shift of Six Sigma (식스시그마의 1.5σ 이동에 대한 소고)

  • Park, Jong Hun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.45 no.1
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    • pp.31-40
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    • 2022
  • Six Sigma is a philosophy and systematic methodology for quality improvement. It encourages continuous quality improvement efforts to achieve the ideal goal of 6σ. Sigma(σ) is a statistic representing the standard deviation of the normal distribution, and 6σ level means a level where the tolerance of the specification is six times the standard deviation of the process distribution. In terms of the defective rate, the 6σ level achieves the 0.002 defectives per one million units. However, in the field, the 6σ level is used in the sense of achieving 3.4 defects per one million opportunities, which shows a large gap from the 6σ level in the statistical viewpoint. This is because field practitioners accept a 1.5σ shift of the mean of process when calculating the defective rate under sigma level. It said that the acceptance of 1.5σ shift of the mean is from experience, but there is no research or theoretical explanation to support it logically. Although it is a non-scientific explanation based on experience, considering that there has been no objection to the 1.5σ shift for a long time and it is rather accepted, it is judged that there is a reasonable basis for the 1.5σ shift. Therefore, this study tries to find a reasonable explanation through detective power of control chart via the run-rules to the 1.5σ shift empirically recognized by practitioners.

Development of a defect analysis and control system based on CMMI (CMMI 기반의 결함 분석 및 통제 시스템 개발)

  • Cho, Sung-Min;Han, Hyuk-Soo
    • Journal of Internet Computing and Services
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    • v.8 no.2
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    • pp.15-22
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    • 2007
  • As we detect defects and eliminate them in early stages, we can make better quality software. For doing this task, we need to use a defect tracking system which con effectively track and manage defects that give severe effects on software quality. Those existing defect tracking systems have some weaknesses as we apply them to organizations that use CMMI for process improvements. Major problems of those systems are that they require the organizations to collect many types of defect data at a time without providing the proper explanation and even without the support of defect management process. The organizations at CMMI maturity level 2 and 3 have problems for analyzing those defects because there is no specific process area at CMMI maturity level 2 and 3 which directly handles defect managing activites. This paper resolves those problems by developing a defect tracking system which offers methods of managing defects. And the system provides guidelines of which defects should be gathered for each CMMI mathurity levels. The system also has functions to generate various status and statistic information on defects, and to assign defect data to the person in charge so that he or she track the defect to the closure

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