• 한국농림기상학회지
• /
• 제12권2호
• /
• pp.83-94
• /
• 2010

본 연구의 목적은 우리나라의 연 강수량, 계절 강수 량 그리고 월 강수량의 최적 확률분포형을 선정하는 것이다. 이를 위해서 전국 32개의 강우 관측소에서 얻은 자료에 대하여 L-모멘트 비 다이어그램과 평균가중거리 값을 이용하여 각 강수량별 최적 확률분포를 산정하였으며, 최종적으로 선정된 최적 확률분포형을 관측 지점별로 적합도 검정을 실시하였다. 그 결과, 연강수량에서는 3변수 Weibull 분포(W3), 봄과 가을에는 3변수 대수정규분포(LN3), 여름과 겨울에는 일반화된 극치분포(GEV)가 관측값에 가장 잘 적합하는 것으로 나타났다. 또한, 월 강수량에서는 1월은 LN3, 2월과 7월은 W3, 3월은 2변수 Weibull 분포(W2), 4월, 9월, 10월, 11월은 일반화된 Pareto 분포(GPA), 5월과 6월은 GEV, 그리고 8월과 12월은 log-Pearson type III 분포(LP3)가 가장 잘 적합하였다. 하지만, 최적 확률분포형의 지점별 적합도 검정의 결과, 1월, 4월, 9월, 10월, 11월의 GPA와 LN3에 대한 기각율이 확률 분포의 매개변수 추정에서의 오류와 상대적으로 높은 AWD 값으로 인하여 매우 높게 나타났다. 한편, 23개 관측소의 자료를 추가하여 분석해본 결과 기존의 32개 의 관측소 자료를 이용한 것과 큰 차이를 나타내지 않았다. 종합적으로 보다 적합한 확률분포형을 선정하기 위해서는 더 장기간의 표본자료를 이용한 추가적인 연구가 필요할 것으로 판단된다.

• 산업경영시스템학회지
• /
• 제41권4호
• /
• pp.203-212
• /
• 2018

Quality requirements of manufactured products or parts are given in the form of specification limits on the quality characteristics of individual units. If a product is to meet the customer's fitness for use criteria, it should be produced by a process which is stable or repeatable. In other words, it must be capable of operating with little variability around the target value or nominal value of the product's quality characteristic. In order to maintain and improve product quality, we need to apply statistical process control techniques such as histogram, check sheet, Pareto chart, cause and effect diagram, or control charts. Among those techniques, the most important one is control charting. The cumulative sum (CUSUM) control charts have been used in statistical process control (SPC) in industries for monitoring process shifts and supporting online measurement. The objective of this research is to apply Taguchi's quality loss function concept to cost based CUSUM control chart design. In this study, a modified quality loss function was developed to reflect quality loss situation where general quadratic loss curve is not appropriate. This research also provided a methodology for the design of CUSUM charts using Taguchi quality loss function concept based on the minimum cost per hour criterion. The new model differs from previous models in that the model assumes that quality loss is incurred even in the incontrol period. This model was compared with other cost based CUSUM models by Wu and Goel, According to numerical sensitivity analysis, the proposed model results in longer average run length in in-control period compared to the other two models.

• 한국농공학회논문집
• /
• 제46권5호
• /
• pp.27-39
• /
• 2004

In the first part of this study, five homogeneous regions in view of topographical and geographically homogeneous aspects except Jeju and Ulreung islands in Korea were accomplished by K-means clustering method. A total of 57 rain gauges were used for the regional frequency analysis with minimum rainfall series for the consecutive durations. Generalized Extreme Value distribution was confirmed as an optimal one among applied distributions. Drought rainfalls following the return periods were estimated by at-site and regional frequency analysis using L-moments method. It was confirmed that the design drought rainfalls estimated by the regional frequency analysis were shown to be more appropriate than those by the at-site frequency analysis. In the second part of this study, LH-moment ratio diagram and the Kolmogorov-Smirnov test on the Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Logistic (GLO) and Generalized Pareto (GPA) distributions were accomplished to get optimal probability distribution. Design drought rainfalls were estimated by both at-site and regional frequency analysis using LH-moments and GEV distribution, which was confirmed as an optimal one among applied distributions. Design rainfalls were estimated by at-site and regional frequency analysis using LH-moments, the observed and simulated data resulted from Monte Carlotechniques. Design drought rainfalls derived by regional frequency analysis using L1, L2, L3 and L4-moments (LH-moments) method have shown higher reliability than those of at-site frequency analysis in view of RRMSE (Relative Root-Mean-Square Error), RBIAS (Relative Bias) and RR (Relative Reduction) for the estimated design drought rainfalls. Relative efficiency were calculated for the judgment of relative merits and demerits for the design drought rainfalls derived by regional frequency analysis using L-moments and L1, L2, L3 and L4-moments applied in the first report and second report of this study, respectively. Consequently, design drought rainfalls derived by regional frequency analysis using L-moments were shown as more reliable than those using LH-moments. Finally, design drought rainfalls for the classified five homogeneous regions following the various consecutive durations were derived by regional frequency analysis using L-moments, which was confirmed as a more reliable method through this study. Maps for the design drought rainfalls for the classified five homogeneous regions following the various consecutive durations were accomplished by the method of inverse distance weight and Arc-View, which is one of GIS techniques.

• 한국수자원학회논문집
• /
• 제49권8호
• /
• pp.645-656
• /
• 2016

본 연구에서는 금강유역에 대한 지역홍수빈도분석을 실시하고 재현기간에 따른 홍수량을 추정하는 관계식을 제안하였다. 유역 내 유량자료의 수문학적 독립성과 동질성에 대한 검증을 위하여 Lag-1 자기상관성 분석, 동질성 검정, 이상치 검정, 불일치척도 검정을 수행하였다. 검정 결과, 금강유역의 대상 관측소들은 시간에 대하여 독립적이고 동질적 모집단에 속하며 이상치는 없었다. 일반 극치 분포(GEV), 3변수 대수정규 분포(LN-III), 피어슨-III 분포(P-III), 일반 로지스틱 분포(GLO), 일반 파레토 분포(GPA) 등 5개의 3변수 확률분포함수에 대한 L-모멘트비도와 평균가중거리(AWD), 그리고 $Z^{DIST}$ 적합도 산정 결과, GLO 분포함수가 금강유역의 최적 확률분포형으로 선정되었다. GLO 분포를 바탕으로 지역홍수빈도를 추정하는 회귀모형을 제안하였고, 강경 관측소의 관측 유량을 이용하여 회귀모형의 적용성을 검증하였다.