• Title/Summary/Keyword: 조건평균법

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Accuracy Comparisons between Traditional Adjustment and Least Square Method (최소제곱법을 적용한 지적도근점측량 계산의 정확도 분석)

  • Lee, Jong-Min;Jung, Wan-Suk;Lee, Sa-Hyung
    • Journal of Cadastre & Land InformatiX
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    • v.45 no.2
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    • pp.117-130
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    • 2015
  • A least squares method for adjusting the horizontal network satisfies the conditions which is minimizing the sum of the squares of errors based on probability theory. This research compared accuracy of 3rd cadastral control points adjusted by traditional and least square method with respect to the result of Network-RTK. Test results showed the least square method more evenly distribute closure error than traditional method. Mean errors of least square and traditional adjusting method are 2.7cm, 2.2cm respectively. In addition, blunder in angle observations can be detected by comparing position errors which calculated by forward and backward initial coordinates. However, distance blunder cannot offer specific observation line occurred mistake because distance error propagates several observation lines which have similar directions.

A Weighted Mean Squared Error Approach Based on the Tchebycheff Metric in Multiresponse Optimization (Tchebycheff Metric 기반 가중평균제곱오차 최소화법을 활용한 다중반응표면 최적화)

  • Jeong, In-Jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.1
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    • pp.97-105
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    • 2015
  • Multiresponse optimization (MRO) seeks to find the setting of input variables, which optimizes the multiple responses simultaneously. The approach of weighted mean squared error (WMSE) minimization for MRO imposes a different weight on the squared bias and variance, which are the two components of the mean squared error (MSE). To date, a weighted sum-based method has been proposed for WMSE minimization. On the other hand, this method has a limitation in that it cannot find the most preferred solution located in a nonconvex region in objective function space. This paper proposes a Tchebycheff metric-based method to overcome the limitations of the weighted sum-based method.

Practical Experimental Design Strategy and Analysis for the Comparison of Two Treatments (두 개의 처리 비교를 위한 실용적인 실험 계획 전략과 분석)

  • Lim, Yong-Bin
    • Journal of Korean Society for Quality Management
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    • v.33 no.3
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    • pp.156-160
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    • 2005
  • We consider practical experimental design strategies and analysis to find out whether a modified method give better results than the standard method. The most practical design strategy is for experimenter to make r successive runs under the current standard method and then, change the standard method to a modified method to make another r successive runs under a modified method. To test a statistically significant difference between the population mean of the standard method and a modified method, additional recent data for sufficient number of consecutive responses under the standard method is needed to construct external reference distribution(Box, et al., 1968). Upon those informations unavailable, the practical design strategy is to run the experiment by split plot designs. In this paper, two types of split plot designs are proposed and how to determine efficiently the number of repetition within a given method and replication of those two methods are discussed based on results of the level of significance ${\alpha}$= 0.05 and the power being at least 0.9 at the detectable difference of ${\mu}_2-{\mu}_1=1.5{\times}{\sigma}$.

Finite Element Analysis for Circulation Phenomena in Sudden Expansion of Open Channel (유한요소법을 이용한 개수로단면급확대부의 순환현상해석)

  • 윤태훈;서승원
    • Water for future
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    • v.21 no.1
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    • pp.67-76
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    • 1988
  • Analyzed was the circulation phenomena in the open channel with sudden expansion, by applying the Galerkin's finite element method to the depth-averaged 2-dimensional continuity and momentum equations. Wave tests were done in the simplified channel in order to review the validity of this newly developed model and the computed results were within 0.5% of $L_2$-norm error, and application of this model to the simulation of simplified dam-break gave very close results compared with the analytical solution, thus, it can be concluded that this model is valid and efficient. The main flow in the expanded channel was defined as a new initial condition with given velocity and the flow in the expanded portion was at rest in simulating the circulation, and besides the Neumann's condition the slip boundary condition for lateral wall was found to be proper condition than the no-slip condition. It can be concluded, from the numerical tests in the sudden expension, that the circulating phenomena depend mainly on the convective inertia and the effect of turbulence due to bottom shear and lateral shear is insignificant.

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Preparation of Zinc Oxide by Hydrothermal Precipitation and Degradation of Tartrazine (수열 합성법에 의한 Zinc Oxide의 제조 및 Tartrazine 분해 특성)

  • Na, Seok-Eun;Jeong, Sang-Gu;Jeong, Ga-Seop;Kim, Si-Young;Ju, Chang-Sik
    • Korean Chemical Engineering Research
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    • v.49 no.6
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    • pp.752-757
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    • 2011
  • The effects of reaction temperature, reactant concentration, pH of solution and mixing order of reactants on the particle shape and size distribution of zinc oxide were investigated in the preparation of zinc oxide from ammonium hydroxide and zinc acetate by the method of aqueous hydrothermal precipitation method, and the photocatalytic ability of zinc oxide synthesized was measured from the degradation of tartrazine under UV irradiation. The average particle size was increased with pH of solution but decreased with zinc acetate concentration and reaction temperature. The optimum condition for the synthesis of minimum sized zinc oxide was pH 11.2, concentration of zinc acetate 0.6 M and reaction temperature $90^{\circ}C$, and its average particle size was 3.133 ${\mu}$m. 97% of tartrazine was degraded by zinc oxide in sixty minutes.

Stability of average soliton propagation in a nonlinear amplifying loop mirror (비선형 증폭 루프에서의 평균 솔리톤의 안정성)

  • 심숙이;이성서;김광훈;김기옥
    • Korean Journal of Optics and Photonics
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    • v.12 no.6
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    • pp.507-510
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    • 2001
  • A numerical analysis based on the nonlinear Schroedinger equation is presented to analyze the propagation stability of the average soliton in a simple nonlinear amplifying loop mirror. The ratio of amplification period to soliton period and the length fraction of the erbium-doped fiber in the loop are varied to investigate their effects on the soliton stability. It is observed that stable soliton propagation is obtained even when the amplification period is only slightly shorter than the soliton period when the length fraction of the erbium-doped fiber in the loop is small, which is different from the previously published condition for stable average soliton propagation.

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A numerical study on portfolio VaR forecasting based on conditional copula (조건부 코퓰라를 이용한 포트폴리오 위험 예측에 대한 실증 분석)

  • Kim, Eun-Young;Lee, Tae-Wook
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.6
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    • pp.1065-1074
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    • 2011
  • During several decades, many researchers in the field of finance have studied Value at Risk (VaR) to measure the market risk. VaR indicates the worst loss over a target horizon such that there is a low, pre-specified probability that the actual loss will be larger (Jorion, 2006, p.106). In this paper, we compare conditional copula method with two conventional VaR forecasting methods based on simple moving average and exponentially weighted moving average for measuring the risk of the portfolio, consisting of two domestic stock indices. Through real data analysis, we conclude that the conditional copula method can improve the accuracy of portfolio VaR forecasting in the presence of high kurtosis and strong correlation in the data.

Improvement of Estimation Method on the Low Flow Frequency Inflow for the Optimal Reservoir Operation (저수지 최적운영을 위한 갈수빈도유입량 산정기법 개선)

  • Ryoo, Kyong-Sik;Lee, Han-Goo;Park, Jin-Hyeog;Hur, Young-Teck
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.1287-1291
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    • 2009
  • 최근 극심한 가뭄은 전년도 홍수기 이후 강수량이 예년 평균 강수량대비 약 60%정도이고 댐유입량은 예년 평균 유입량대비 약 30%로써 매우 극심한 가뭄을 겪고 있다. 따라서 강원도 태백지역을 비롯하여 전라 및 경상남도지역에 제한급수 등이 이루어지고 있는 실정이다. 또한 기상청 전망에서도 금년 홍수기전까지 가뭄이 지속될 것이라는 보도가 나오고 있어 향후에도 매우 어려운 상황이 지속될 것으로 예상된다. 따라서 이러한 악조건하에서 우리가 대체할 수 있는 방법중의 하나로서는 가용한 수자원량과 향후 예상되는 유입량에 대한 정량적 판단을 통해 수자원의 효율적인 관리일 것이다. 이에 본 연구에서는 이수기 저수지의 효율적 운영을 위해서 기존에 이용되고 있는 저수지에서의 빈도유입량 산정방법을 개선하여 보다 적정한 운영이 이루어질 수 있도록 하고자 한다. 현재 수자원공사에서는 이수기 유입량 빈도분석을 위해 연속된 수문량이 가지고 있는 주기특성을 반영한 수문량 누가방식(누가차분법)을 채택하여 실무에서 이용하고 있다. 그러나 해당방법은 누가기간에서 산정된 빈도값의 차분량 계산시 부분적으로 음(-)의 값이 산출되고 갈수빈도가 증가함에도 수문량이 증가하는 이상 현상이 발생할 뿐만아니라 빈도분석 초기에는 극한 가뭄이 오고 분석기 말에는 평년수준의 유입량이 유입되는 것으로 분석되어 효율적인 저수지 운영이 어려운 실정이다. 따라서 본 연구에서는 상기 문제들을 해결할 수 있는 새로운 갈수빈도유입량의 분해방법을 제시하고 이에 대한 검증을 위해 금번 가뭄 패턴과 비교 분석하고자 한다.

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Development of 2DH hydrodynamic and scalar transport model based on hybrid finite volume/finite difference method (하이브리드 FVM/FDM 기반의 2차원 흐름 및 스칼라 이송 모형 개발)

  • Hwang, Sooncheol;Son, Sangyoung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.105-105
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    • 2021
  • 본 연구에서는 2차원 비선형 천수모형과 수심평균된 스칼라 이송모형을 해석하는 수치모형에 대해 기술하였다. 수치모형의 정확성을 보장함과 동시에 안정성을 높이기 위해 유한체적법, 플럭스 재구성 및 minmod 제한자를 사용하였다. 비선형 천수방정식의 이송항과 바닥 경사항은 계산된 수심의 양수 보존과 흐름의 정상 상태를 보장하기 위한 second order well-balanced positivity preserving central-upwind method를 이용하여 수치적으로 이산화되었다. 마찬가지로, 이송-확산 방정식 내 이송항은 동일한 2차 풍상차분법을 통해 수치적으로 풀이하였다. 격자점 경계면에서의 불연속으로 인한 수치진동을 방지하기 위해 이송항의 계산에 포함된 보존항의 차이로 인해 발생하는 스칼라의 수치확산을 최소화하기 위해 무차원의 비소산함수를 도입하였다. 또한, 확산항은 유한차분법을 이용하여 이산화하였다. 제안된 수치모형은 시간미분항의 계산을 위해 오일러 기법을 적용하여 계산된 수심 및 스칼라의 양수 보존여부와 함께 정지된 흐름의 정상 상태의 보존여부를 확인하였다. 제안된 수치모형의 해석 정확성을 평가하기 위해 1, 2차원 공간 내 다양한 흐름 조건에서의 해석해를 이용한 3개의 벤치마크 테스트를 수행하였다. 평균 제곱근 오차(Root Mean Squared Error, RMSE)를 산정하여 수치모형의 성능을 정량적으로 평가하였으며, 비소산함수를 적용함에 따라 스칼라의 수치확산이 감소하게 되었음을 확인하였다. 또한, 세 차례의 벤치마크 테스트 결과는 공통적으로 수치모형에 의해 계산된 결과값이 비소산함수를 고려함에 따라 해석해와 잘 일치함을 확인하였다.

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A Study on the Reviesd Methods of Missing Rainfall Data for Real-time Forecasting Systems (실시간 예보 시스템을 위한 우량자료 보정 기법 연구)

  • Han, Myoung-Sun;Kim, Chung-Soo;Kim, Hyoung-Seop;Kim, Hwi-Rin
    • Journal of Korea Water Resources Association
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    • v.42 no.2
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    • pp.131-139
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    • 2009
  • The weather accidents by global warming effect are increasing rapidly whole world. Flood forcasting system and hydrological database are operated by almost all the countries in the world. An objective of this study is to research revised methods of missing rainfall data and find more effective revised method for this operating system. 194 rainfall data of the Han river basin is used. Arithmetic average method, coefficient of correlation weighting method and inverse distance weighting method are compared to estimate revised methods. The result from the analysis shows that coefficient of correlation weighting method is best quantitatively among the 3 methods.