• Title/Summary/Keyword: ARL 비교값

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Average Run Lengths of Special-Cause Control Charts for Autocorrelated Processes (자동상관인 공정에서 Special-Cause CUSUM 관리도의 ARL)

  • Sungwoon Choi
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.18 no.36
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    • pp.243-251
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    • 1995
  • 본 연구에서는 자동상관인 공정의 변화를 빠르게 탐지할 수 있는 Special-Cause CUSUM 관리도를 사용하여 다섯가지 시계열 모델에 대해 다음과 같은 연구를 수행한다. 첫째 ACF와 PACF로 파라미터에 따른 ARL의 변화를 쉽게 해석할 수 있는 방법과 둘째로 독립인 관측값에 적용하는 Hawkins(1992)의 ARL 간략계산법을 자동상관인 공정에서도 사용할 수 있는 기법을 제시하여 기존의 시뮬레이션을 이용한 ARL 계산법에 비해 빠르고도 정확한 값을 구한다. 끝으로 두가지 유형의 평균이동에 대한 ARL 변화를 각각 계산해 보아 그 효과를 비교분석 한다.

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A Study on Evaluation of Korean Collection of North America: Focused on the A University (북미 대학의 한국학 장서 평가에 관한 연구: A 대학을 중심으로)

  • Oh, Kyung-Mook
    • Journal of the Korean Society for information Management
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    • v.25 no.4
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    • pp.269-281
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    • 2008
  • This paper evaluated the collection development of the Korean collection at the A university over the several decade. Compared against the ACRL standard Formula A, the result demonstrated that the Korean library collection is still needed to increase Korean collection to support Korean-related program and Korean community in the area. When we share western language materials in the library as the same area studies resources, we can evaluate Korean studies collection as Level B. Comparison with similar institutions (ARL comparisons) shows that the collection is the middle among 15 universities which provide Korean programs. The situation for Korean resources at the A university is needed to get more support from Korean institutes and Korean societies to keep up with the Korean collection for academics and regional community users as well.

An approximation method for the ARL and the decision interval in CUSUM control charts (누적합관리도에서 평균런길이의 근사와 결정구간의 설정)

  • 이재헌;박창순
    • The Korean Journal of Applied Statistics
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    • v.10 no.2
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    • pp.385-401
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    • 1997
  • Cumulative sum (CUSUM) control charts are widely used in industry for the statistical process control. The statistical design procedure in CUSUM charts tells how to choose the decision interval value. The decision interval is primarily determied by the desired in - control ARL - that is, by the acceptable frequency of false out-of-control signals. In this paper we propose a new approximation method for calculating the ARL and determining the decision interval. The performance of the proposed method is examined by evaluating the accuracy of estimated ARLs and decision intervals in normal and exponential cases.

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The effect of parameter estimation on $\bar{X}$ charts based on the median run length ($\bar{X}$ 관리도에서 런길이의 중위수에 기초한 모수 추정의 영향)

  • Lee, Yoojin;Lee, Jaeheon
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.6
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    • pp.1487-1498
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    • 2016
  • In monitoring a process, in-control process parameters must be estimated from the Phase I data. When we design the control chart based on the estimated process parameters, the control limits are usually chosen to satisfy a specific in-control average run length (ARL). However, as the run length distribution is skewed when the process is either in-control or out-of-control, the median run length (MRL) can be used as alternative measure instead of the ARL. In this paper, we evaluate the performance of Shewhart $\bar{X}$ chart with estimated parameters in terms of the average of median run length (AMRL) and the standard deviation of MRL (SDMRL) metrics. In simualtion study, the grand sample mean is used as a process mean estimator, and several competing process standard deviation estimators are used to evaluate the in-control performance for various amounts of Phase I data.

Statistical process control of continuous flow processes using the Kalman filter (칼만필터를 적용한 연속생산공정이 SPC (Statistical Process Control))

  • 권상혁;김광섭;왕지남
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.04a
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    • pp.173-181
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    • 1995
  • 통계적 공정관리 분야가 점차 컴퓨터를 이용한 관리를 하게 되므로써 공정관리의 온라인화, 실시간화가 되고 있는 가운데, 기존의 관리도는 공정의 파라미터를 기지의 상수값으로 간주하므로 모형이 잘못 설정되었을 경우 상당히 많은 오보(false alarm)를 발생하게 된다. 이에 본 연구는 연속생산공정에서, 칼만필터를 적용하여 공정의 불확실한 파라미터와 모형의 오차에도 불구하고 공정의 변화를 보다 빠르고 정확하게 탐지할 수 있는 관리도를 설계하였다. 본 연구에서 설계한 관리도는 관축치들간에 시간적 종속성이 존재하는 경우에 있어서, 관측치들을 시계열모형으로 묘사를 하여, 파라미터(parameter)를 추정하고, 잔차를 얻어서 만든 잔차관리도로서, 실시간으로 생산공정을 관리하는 경우 효과적임을 보이기 위하여, 컴퓨터 시뮬레이션을 통해 ARL을 구하여 기존에 사용되고 있는 관리도와 수행도를 비교.평가하였다.

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CUSUM charts for monitoring type I right-censored lognormal lifetime data (제1형 우측중도절단된 로그정규 수명 자료를 모니터링하는 누적합 관리도)

  • Choi, Minjae;Lee, Jaeheon
    • The Korean Journal of Applied Statistics
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    • v.34 no.5
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    • pp.735-744
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    • 2021
  • Maintaining the lifetime of a product is one of the objectives of quality control. In real processes, most samples are constructed with censored data because, in many situations, we cannot measure the lifetime of all samples due to time or cost problems. In this paper, we propose two cumulative sum (CUSUM) control charting procedures to monitor the mean of type I right-censored lognormal lifetime data. One of them is based on the likelihood ratio, and the other is based on the binomial distribution. Through simulations, we evaluate the performance of the two proposed procedures by comparing the average run length (ARL). The overall performance of the likelihood ratio CUSUM chart is better, especially this chart performs better when the censoring rate is low and the shape parameter value is small. Conversely, the binomial CUSUM chart is shown to perform better when the censoring rate is high, the shape parameter value is large, and the change in the mean is small.

Studies on a Plan for Afforestation at Tong-ri Beach Resort(II) -Analyses of Crown Amounts and Soil Properties in the Disaster-damage Prevention Forests of Pinus thunbergii PARL., the Valuation on Soil Properties for Planting and Planning for Afforestation- (통리(桶里) 해수욕장(海水浴場) 녹지대(綠地帶) 조성(造成)에 관(關)한 연구(硏究)(II) -곰솔 해안방재림(海岸防災林)의 수관량(樹冠量) 및 토양분석(土壤分析), 식재기반평가(植栽基盤評價) 및 녹지대계획(綠地帶計劃)-)

  • Cho, Hi Doo
    • Journal of Korean Society of Forest Science
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    • v.77 no.3
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    • pp.303-314
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    • 1988
  • Tong-ri beach has not enough vegetation to be enjoyed by the sea bathers and to be satisfied with preventing the disaster-damages, but mixed forest near the beach can work its funtions and the old forest of Pirus thunbergii $P_{ARL}$. near the beach do a Little. Therefore it is very urgent to plant more trees near the beach for bathers and disaster-damage prevention. This study was carried out for planning an afforestation, with reporting upon the crown amounts and soil properties of disaster-damage prevention forests of P. thunbergii $P_{ARL}$. planted on the coast sand dunes in 1970 and 1976, and with reporting upon the valuation on soil properties of the lands near the beach in order to set the afforestation site. The results are as follows : 1. In disaster-damage prevention forests, crown surface area and crown volume became increasingly greater in proportion to the height. To D.B.H., crown volume also became increasingly greater in proportion, but crown surface area was directly proportional. 2. In comparison to sail characteristics of sand dune, those of the forests were in large quantity in OM, T-N and avail. $SiO_2$, and almost in the same in avail. $P_2O_5$, but in small quantity in exchangeable canons : K, Ca, Mg and Na. 3. EC, Cl and pH were in small value in the forest soils, but CEC was in large value in those soils. 4. Above facts showed that the forests fulfill their functions for preventing disaster-damages and improve their soil properties. 5. The forests have naturally been thinned up to 34% in 17 years and 39% in 11 years, and one can easily pass through the forest(planted in 1970), because of its sufficient clear-length(2.71m) and its space to pass. 6. A plan for afforestation was oracle nut after judging several sites by the evaluation on the soil properties and considering the best relaxation and the prevention of the various disaster-damages upon which were reported in the last issue. 7. Afforestation should be kept for maintaining its appropriate density for best relaxation and disaster-damage prevention.

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