• 제목/요약/키워드: ${\bar{X}}$ 관리도

검색결과 58건 처리시간 0.024초

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

  • 이태훈;이재훈;이민구;이주호
    • 품질경영학회지
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    • 제37권2호
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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).

측정오차를 고려한 $\bar{x}$ -S 관리도의 경제적 설계 (The Economic Design of $\bar{x}$ -S Chart Considering Measurement Error)

  • 유영창;강창욱
    • 산업경영시스템학회지
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    • 제23권61호
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    • pp.89-98
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    • 2000
  • For statistical process control, the process data are collected by the measurement system. But, the measurement system may have instrument error or/and operator error. In the measured values of products, the total observed variance consists of process variance and variance due to error of measurement system. In this paper, we design more practical T-s control chart considering estimated measurement error The effects of measurement error on the expected total cost and design parameters are investigated.

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

  • 손한덕;송서일
    • 한국산업경영시스템학회:학술대회논문집
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    • 한국산업경영시스템학회 2002년도 춘계학술대회
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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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두 개의 이상원인을 고려한 VSSI $\bar{X}$ 관리도의 통계적 특성

  • 이호중;임태진
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 2004년도 품질경영모델을 통한 가치 창출
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    • pp.64-69
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    • 2004
  • This research investigates statistical characteristics of variable sampling size & interval(VSSI) X charts under two assignable causes. Algorithms for calculating the average run length(ARL) and average time to signal(ATS) of the VSSI X chart are proposed by employing Markov chain method. Extensive sensitivity analysis shows that the VSSI. X chart is superior to the VSS or VSI X chart as well as to the Shewhart X chart in statistical sense, even under two assignable causes.

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두 개의 이상원인을 고려한 VSSI $\bar{X}$ 관리도의 경제적-통계적 설계

  • 이호중;임태진
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 2004년도 품질경영모델을 통한 가치 창출
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    • pp.507-512
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    • 2004
  • This research investigates economic-statistical characteristics of variable sampling size & interval(VSSI) X charts under two assignable causes. We propose the procedure for designing VSSI X charts, based on Lorenzen and Vance model. Computational experiments show that the VSSI X chart Is superior to the Shewhart X chart in the economic-statistical sense, even under two assignable causes

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

  • 송서일;이만웅
    • 산업경영시스템학회지
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    • 제22권52호
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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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시계열 모형에서 붓스트랩 기법을 이용한 $\bar{x}$ 와 EWMA 관리도의 수행도 평가 (-Performance Evaluation of $\bar{x}$ and EWMA Control Charts for Time series Model using Bootstrap Technique-)

  • 송서일;손한덕
    • 산업경영시스템학회지
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    • 제23권57호
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    • pp.123-129
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    • 2000
  • The Bootstrap method proposed by Efron is non-parametric method which doesn't depend on the estimation of prior distribution refer to population. A typical statistical process control chart which is generally used is developed under the assumption that observations follow mutually independent and identically distributed within a sample and between samples. However, autocorrelation greatly affect the developed control chart under the assumption that observations are mutually independent. Many researchers showed that the result which was analyzed by using a typical control chart for the observations which has the correlation violated to the independence assumption can not be true. Therefore, we compared the standard method with bootstrap method and then evaluated them for x control chart and EWMA control chart by using bootstrap method which was proposed by Efron in the AR(1) model when the observations have correlation.

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분계점 붓스트랩 방법을 이용한 자기상관을 갖는 공정의 $\bar{X}$ 관리도 ($\bar{X}$ control charts of automcorrelated process using threshold bootstrap method)

  • 김윤배;박대수
    • 품질경영학회지
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    • 제28권2호
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    • pp.39-56
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    • 2000
  • ${\overline{X}}$ control chart has proven to be an effective tool to improve the product quality. Shewhart charts assume that the observations are independent and normally distributed. Under the presence of positive autocorrelation and severe skewness, the control limits are not accurate because assumptions are violated- Autocorrelation in process measurements results in frequent false alarms when standard control chats are applied in process monitoring. In this paper, Threshold Bootstrap and Moving Block Bootstrap are used for constructing a confidence interval of correlated observations. Monte Carlo simulation studies are conducted to compare the performance of the bootstrap methods and that of standard method for constructing control charts under several conditions.

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

  • 신용백
    • 산업경영시스템학회지
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    • 제10권16호
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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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바코드, 큐알코드와 데이터베이스를 활용한 화장품 원료 칭량 및 벌크제조 관리시스템 구축 (Establishment of Cosmetic Raw Material Weighing and Bulk Manufacturing Management System Using Bar Code, QR Code and Database)

  • 이청희;배준태;홍진태
    • 대한화장품학회지
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    • 제45권3호
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    • pp.277-285
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    • 2019
  • 본 연구는 바코드나 큐알코드를 활용하는 데이터베이스를 개발하여 화장품 제조에 필요한 원료를 효과적으로 칭량하고 벌크 제조를 관리하는 시스템을 구축하기 위하여 수행하였다. 원료 라벨과 벌크 제조를 위한 칭량 라벨은 데이터베이스에 입력된 정보를 활용하여 Medi&Co의 프린트 컴포넌트인 ScriptX를 이용하여 웹 상에서 발행하였다. 칭량과 투입 과정을 스캐너와 태블릿, PC 등을 이용하여 확인하여 화장품 벌크 생산시 가장 많은 오류 원인인 오칭량이나 오투입에 의한 제품 이상 발생을 감소시킬 수 있었다. 결론적으로 바코드와 큐알코드를 활용하는 데이터베이스를 화장품 제조에 적용하면 공정 중에서 발생하는 여러 가지 문제점을 감소시켜 화장품의 품질관리와 생산성 효율을 증대시킬 수 있다.