• Communications for Statistical Applications and Methods
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• 제22권5호
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• pp.519-530
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• 2015

The geometric chart has proven more effective than Shewhart p or np charts to monitor the proportion nonconforming in high-quality processes. Implementing a geometric chart commonly requires the assumption that the in-control proportion nonconforming is known or accurately estimated. However, accurate parameter estimation is very difficult and may require a larger sample size than that available in practice in high-quality process where the proportion of nonconforming items is very small. Thus, the error in the parameter estimation increases and may lead to deterioration in the performance of the control chart if a sample size is inadequate. We suggest adjusting the control limits in order to improve the performance when a sample size is insufficient to estimate the parameter. We propose a linear function for the adjustment constant, which is a function of the sample size, the number of nonconforming items in a sample, and the false alarm rate. We also compare the performance of the geometric charts without and with adjustment using the expected value of the average run length (ARL) and the standard deviation of the ARL (SDARL).

• 응용통계연구
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• 제28권5호
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• pp.907-920
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• 2015

기하분포에 기초한 관리도는 불량품이 드물게 발생하는 고품질공정에서 불량률의 변화를 효율적으로 탐지할 수 있다고 알려져 있다. 이러한 관리도를 사용할 때 기본적인 가정은 관리상태일 때의 불량률이 알려져 있거나 또는 정확하게 추정되었다는 것이다. 그러나 고품질공정에서 불량률은 아주 작기 때문에 이를 정확하게 추정하기가 쉽지 않으며 또한 아주 큰 표본크기가 필요한 경우도 종종 발생한다. 일반적으로 제1국면에서 관리상태의 불량률을 추정할 때 최대우도추정량을 사용하지만, 이 논문에서는 베이즈추정량의 사용을 제안하였다. 베이즈추정량을 사용할 경우 실무자의 사전지식을 반영할 수 있으며 표본에 불량품이 발견되지 않을 경우 발생하는 최대우도추정량의 문제점을 해결할 수 있다는 장점이 있다. 기하 관리도와 기하누적합 관리도에서 베이즈추정량을 사용한 경우와 최대우도추정량을 사용한 경우를 비교한 결과, 표본의 크기가 크지 않은 경우 베이즈추정량을 사용하는 것의 효율이 더 좋음을 알 수 있었다.

• 한국항해항만학회지
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• 제29권3호
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• pp.269-274
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• 2005

현재 국내에서 활발히 이루어지고 있는 GPS 정밀측지측량은 GPS 관측성과가 관측값의 통계적 검증없이 이루어지고 있단 문제점이 있다. 그리고 육지와 해상의 통합지리정보시스템구축을 위한 수치지형도와 수치해도의 통합투영의 필요성이 요구되고 있다. 본 연구를 통하여 GPS 망조정에 사용되는 3점의 기준선에 대한 기하학적인 강도에 따른 정밀도 분석과 분산계수의 변화에 따른 GPS 관측 값들의 정밀도 분석방법으로 GPS 관측값의 정밀도 향상을 위한 방법을 제시하였다. 또한, GPS 관측값의 정밀도를 향상시키는 방법과 수치지도와 전자해도의 통합투영으로 GPS 기준점을 이용한 수지지형도와 수치해도의 경계선 오차량을 비교 검토하여 수치지형도와 수치해도의 통합관리의 방향을 제시하였다. 그리고 이렇게 산출된 GPS 관측결과를 이용하여 EDM 측량결과를 산출하고 수치지형도와 수치해도를 이 정계값들로 맞추었을 때 전체적인 경계점 오차량을 비교 검토하였다.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2004년도 춘계학술대회 논문집
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• pp.275-281
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• 2004

현재 국내에서 활발히 이루어지고 있는 GPS 관측성과가 관측값의 통계적 검증없이 이루어지고 있는 문제점이 있다. 그리고 육지와 해상의 통합지리정보시스템구축을 위한 수치지형도와 수치해도의 통합투영의 필요성이 요구되고 있다. 본 연구를 통하여 GPS 망조정에 사용되는 3점의 기준점에 대한 기하학적인 강도에 따른 정밀도 분석과 분산계수의 변화에 따른 GPS 관측값들의 정밀도 분석방법으로 GPS 관측값의 정밀도 행상을 위한 방법을 제시하였다. 또한, GPS 관측값의 정밀도를 향상시키는 방법과 수치지도와 전자해도의 통합투영으로 GPS 기준점을 이용한 수치지형도와 수치해도의 경계선 오차량을 비교검토하여 수치지형도와 수치해도의 통합관리의 방향을 제시하였다. 그리고 이렇게 산출된 GPS 관측결과를 이용하여 EDM 측량결과를 산출하고 수치지형도와 수치해도를 이 경계값들로 맞추었을 때 전체적인 경계점이 오차량을 비교 검토하였다.

• Communications for Statistical Applications and Methods
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• 제27권1호
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• pp.65-77
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• 2020

Geometric charts are effective in monitoring the fraction nonconforming in high-quality processes. The in-control fraction nonconforming is unknown in most actual processes; therefore, it should be estimated using the Phase I sample. However, if the Phase I sample size is small the practitioner may not achieve the desired in-control performance because estimation errors can occur when the parameters are estimated. Therefore, in this paper, we adjust the control limits of geometric charts with the bootstrap algorithm to improve the in-control performance of charts with smaller sample sizes. The simulation results show that the adjustment with the bootstrap algorithm improves the in-control performance of geometric charts by controlling the probability that the in-control average run length has a value greater than the desired one. The out-of-control performance of geometric charts with adjusted limits is also discussed.

• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2000년도 추계학술발표논문집
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• pp.217-234
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• 2000

Approximately normalized control charts, called Q charts, have been given Quesenberry(1991) for charting in process of short-run, job-shop, etc. We consider a Q chart with inspection error for job-shop floor under geometric distribution, which can be used for processes when a fraction nonconforming is very small. Our results would be applied for designing other control charts with inspection error.

• International Journal of Naval Architecture and Ocean Engineering
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• 제10권6호
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• pp.794-802
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• 2018

The ice resistance series charts for icebreaking ships were developed through a series of systematic model tests in the ice tank of the Korean Research Institute of Ship and Ocean Engineering (KRISO). Spencer's (1992) component-based scaling system for ship-ice model tests was applied to extend the model ship correlations. Beam to draft ratio (B/T), length to beam ratio (L/B), block coefficient ($C_B$) and stem angle (${\alpha}$) were selected as geometric parameters for hull form development. The basic hull form (S1) of twin pod type with B/T of 3.0, L/B of 6.0, $C_B$ of 0.75 and stem angle of $25^{\circ}$ was generated with a modern hull design concept. A total of 13 hulls were designed varying the geometric parameters; B/T of 2.5 and 3.5, L/B of 5.0 and 7.0, $C_B$ from 0.65 to 0.85 in intervals of 0.05, and 5 stem angles from $15^{\circ}$ to $35^{\circ}$. Ice resistance tests were first carried out with the basic hull form in level ice with suitable speed. Four more tests for $C_B$ variations from 0.65 to 0.85 were conducted and two more for beam to draft and length to beam ratios were also performed to study the effect of the geometric parameters on ice resistance. Ice resistance tests were summarized using the volumetric coefficient, $C_V$ ($={\nabla}/L^3$), instead of L/B and $C_B$ variations. Additional model tests were also carried out to account for the effect of the stem angle, ice thickness and ice strength on ice resistance. In order to develop the ice resistance series charts with a minimum number of experiments, the trends of the ice resistance obtained from the experiments were assumed to be similar for other model ship with different geometric parameters. A total of 18 sheets composed of combinations of three different beam to draft ratios and six block coefficients were developed as a parameter of $C_V$ in the low speed regions. Three correction charts were also developed for stem angles, ice thickness and ice strength respectively. The charts were applied to estimate ice resistance for existing icebreaking ships including ARAON, and the results were satisfactory with reasonable accuracy.

• 해양환경안전학회:학술대회논문집
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• 해양환경안전학회 2004년도 춘계학술발표회
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• pp.49-52
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• 2004

RADARSAT은 선박탐지를 포함하는 해상감시에 있어서 중요한 역할을 할 수 있는 데이터중의 하나이며, 이것은 레이더센서를 가지고 있어 전천후 및 주야불문이라는 두 가지 주요 이점을 가지고 있기 때문에 가능하다. 그러나, 합성개구레이더의 이미징시에 대기의 영향은 무시될 수 없으며, 다양한 형태로 기하 변형이 발생하게 된다. 본 연구에서는, 레벨 1의 georeferenced SGX 데이터를 사용해서 RADARSAT의 합성개구레이더에 대한 기하/대기 보정을 시험하였다. 대기보정을 위한 레이더 산란파 크기 등의 정보는 데이터 헤더자료로부터 추출하였으며, DN을 beat nought와 sigma nought로 변환을 실시하였다. 마지막으로 자동 기하보정결과를 실재 좌표 값과 비교하였다.

• Selected Papers of The Society of Naval Architects of Korea
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• 제1권1호
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• pp.76-90
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• 1993

A new propeller series is developed using the newly developed blade section (KH 18 section) which has better cavitation characteristics and higher lift-drag ratio at wade angle-of-attack range than a conventional section. The radial patch distribution of the new series propellers is variable stance they were designed adaptively to a typical wake distribution. Basic geometric particulars of the series propellers. such as chord length, thickness, skew and rake distributions, are determined on the basis of recent full scale propeller geometric data. The series is developed for propellers having 4 blades, and blade area ratios of 0.3, 0.45, 0.6 and 0.75. Mean pitch ratios are varied as 0.5, 0.6, 0.7, 0.95 and 1.1 for each blade area ratio. The new propeller series consists of 20 propellers and is named as the KD(KRISO-DAEWOO)-propeller series. Propeller open-water tests are performed at the towing tank, and cavitation observation tests and fluctuating pressure tests are carried out at the cavitation tunnel of KRISO. $B_{p}-\delta$ curves, which can be used to select the optimum propeller diameter at the preliminary design stage, are derived from a regression analysis of the propeller open-water test results. The KD-cavitation chart is derived from the cavitation observation test results by choosing the local maximum lift coefficient and the local cavitation number as parameters. The cavity extent predicted by the KD-cavitation chart would be more accurate compared to that by an existing cavitation charts, such as the Burrll's cavitation chart, since the former is derived from the cavitation observation test results in a typical ship's wake, while the lather is derived from the test results in a uniform flow.

• 품질경영학회지
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• 제27권4호
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• pp.143-152
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• 1999

In Shewhart control chart, the average run length(ARL) is calculated using the mean of a conventional geometric distribution(CGD) assuming a sequence of identical and independent Bernoulli trials. In this, the success probability of CGB is the probability that any point exceeds the control limits. When the process is in-control state, there is no problem in the above assumption since the probability that any point exceeds the control limits does not change if the in-control state continues. However, if the out-of-control state begins and continues during the process, the probability of exceeding the control limits may take two forms. First, once the out-of-control state begins with exceeding probability p, it continues with the same exceeding probability p. Second, after the out-of-control state begins, the exceeding probabilities may very according to some pattern. In the first case, ARL is the mean of CGD with success probability p as usual. But in the second case, the assumption of a sequence of identical and independent Bernoulli trials is invalid and we can not use the mean of CGD as ARL. This paper concentrate on that point. By adopting one generalized binomial distribution(GBD) model that allows correlated Bernoulli trials, generalized geometric distribution(GGD) is defined and its mean is derived to find an alternative ARL when the process is in out-of-control state and the exceeding probabilities take the second form mentioned in the above. Small-scale simulation is performed to show how an alternative ARL works.