• 제목/요약/키워드: extreme point

검색결과 268건 처리시간 0.031초

On the Relationship between $\varepsilon$-sensitivity Analysis and Sensitivity Analysis using an Optimal Basis

  • Park, Chan-Kyoo;Kim, Woo-Je;Park, Soondal
    • Management Science and Financial Engineering
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    • 제10권2호
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    • pp.103-118
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    • 2004
  • $\epsilon$-sensitivity analysis is a kind of methods for performing sensitivity analysis for linear programming. Its main advantage is that it can be directly applied for interior-point methods with a little computation. Although $\epsilon$-sensitivity analysis was proposed several years ago, there have been no studies on its relationship with other sensitivity analysis methods. In this paper, we discuss the relationship between $\epsilon$-sensitivity analysis and sensitivity analysis using an optimal basis. First. we present a property of $\epsilon$-sensitivity analysis, from which we derive a simplified formula for finding the characteristic region of $\epsilon$-sensitivity analysis. Next, using the simplified formula, we examine the relationship between $\epsilon$-sensitivity analysis and sensitivity analysis using optimal basis when an $\epsilon$-optimal solution is sufficiently close to an optimal extreme solution. We show that under primal nondegeneracy or dual non degeneracy of an optimal extreme solution, the characteristic region of $\epsilon$-sensitivity analysis converges to that of sensitivity analysis using an optimal basis. However, for the case of both primal and dual degeneracy, we present an example in which the characteristic region of $\epsilon$-sensitivity analysis is different from that of sensitivity analysis using an optimal basis.

Spatial Interpolation of Rainfall by Areal Reduction Factor (ARF) Analysis for Hancheon Watershed

  • Kar, Kanak Kanti;Yang, Sung Kee;Lee, Junho
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2015년도 학술발표회
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    • pp.427-427
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    • 2015
  • The storm water management and drainage relation are the key variable that plays a vital role on hydrological design and risk analysis. These require knowledge about spatial variability over a specified area. Generally, design rainfall values are expressed from the fixed point rainfall, which is depth at a specific location. Concurrently, determine the areal rainfall amount is also very important. Therefore, a spatial rainfall interpolation (point rainfall converting to areal rainfall) can be solved by areal reduction factor (ARF) estimation. In mainland of South Korea, for dam design and its operation, public safety, other surface water projects concerned about ARF for extreme hydrological events. In spite of the long term average rainfall (2,061 mm) and increasing extreme rainfall events, ARF estimation is also essential for Jeju Island's water control structures. To meet up this purpose, five fixed rainfall stations of automatic weather stations (AWS) near the "Hancheon Stream Watershed" area has been considered and more than 50 years of high quality rainfall data have been analyzed for estimating design rainfall. The relationship approach for the 24 hour design storm is assessed based on ARF. Furthermore, this presentation will provide an outline of ARF standards that can be used to assist the decision makers and water resources engineers for other streams of Jeju Island.

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Transformerless Three-Level DC-DC Buck Converter with a High Step-Down Conversion Ratio

  • Zhang, Yun;Sun, Xing-Tao;Wang, Yi-Feng;Shao, Hong-Jun
    • Journal of Power Electronics
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    • 제13권1호
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    • pp.70-76
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    • 2013
  • For high power high step-down dc-dc conversion applications, conventional three-level dc-dc converters are subject to extreme duty cycles or increased volume and cost due to the use of transformers. In this paper, a transformerless three-level dc-dc buck converter with a high step-down conversion ratio is proposed. The converter comprises two asymmetrical half bridges, which are of the neutral point clamped structures. Therefore, the output pulse voltage of the converter can be obtained in terms of the voltage difference between the two half bridges. In order to realize harmonious switching of the converter, a modulation strategy with capacitor voltages self balance is presented. According to the deduced output dc voltage function, transformerless operation without extreme duty cycles can be implemented. Experimental results from a 1kW prototype verify the validity of the proposed converter. It is suitable for ship electric power distribution systems.

On the Critical Behavior of Phase Changes of a Forward-Scattered Light in a Nonpolar Binary Liquid Mixture

  • Kim, Kyoung-Ran;Kang, Young-Soo;Lee, Dong-J.
    • Bulletin of the Korean Chemical Society
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    • 제23권12호
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    • pp.1749-1753
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    • 2002
  • The effect of concentration fluctuations on the changes of azimuth and ellipticity are analytically obtained in a binary chiral liquid mixture, when the incident light is completely linearly polarized above (or below) the horizontal at 45°. The important results are as follows;(1) When the binary liquid is in the critical region far from the cr5itical point, the ellipticity change is proportional to isothermal compressibility factor and the fifth order of frequency and shows the logarithmic divergence. (2) In the case that the system is in the critical region far from the critical point, the azimuth change is solely due to the molecular contribution. As the system approaches to the critical point, the effect of fluctuations becomes important. If it is in the extreme close to the critical point, the term due to the concentration fluctuations is comparable to or larger than the molecular contribution.

침식기준목을 이용한 파도리 해식애 사면의 침식·후퇴율 산정 (Estimating on the Erosion and Retreat Rates of Sea-cliff Slope Using the Datum-point in Pado-ri, the Western Coast of Korea)

  • 장동호;박지훈
    • 한국지형학회지
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    • 제19권3호
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    • pp.71-82
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    • 2012
  • 이 연구는 태안 파도리 해식애 사면을 대상으로 침식기준목을 이용하여 연간 침식 후퇴율을 산정하고, 계절적 변화의 특성과 원인을 파악하고자 하였다. 연구결과, 해식애는 봄철에서 여름철까지 침식 후퇴율이 증가하였고, 다시 8~10월 사이에 급격히 증가하였는데, 이는 집중호우 및 태풍 등과 같은 극한기후사상의 영향으로 판단된다. 그 후 해식애의 침식 후퇴율은 점차 감소하다가 겨울철에 다시 증가하는데, 이것은 겨울철 폭풍해일과 기반암이 동결 해빙작용을 반복하면서 기계적 풍화가 활발히 진행된 결과이다. 해식애의 침식 후퇴율에 영향을 미치는 요소는 선행강수일수 및 일최대파고이다. 특히, 태풍 및 폭풍해일시 강한 파랑에너지에 의해 침식이 가속화되는 것으로 나타났다. 연구지역의 지난 2년간(2010년 5월~2012년 5월) 연간 침식 후퇴율은 각 지점마다 지형 지질학적 특성이 다르지만, 대략 44~60cm/yr 정도이다. 이러한 침식 후퇴율은 기존 연구결과보다 증가하였는데, 그 원인은 극한기후사상에 의한 해안 침식력이 강화되었기 때문으로 판단된다. 연구지역의 해식애 침식 후퇴과정의 특징은 해성작용(파랑에너지) 이외에도 육상의 삭박작용이 함께 작용하여 침식이 진행되고 있다.

프랑스혁명 이후의 Incroyables와 Merveilleuses 복식에 대한 연구 (A Study on the Incroyables and Merveilleuses Costume after the French Revolution)

  • 이유경
    • 복식문화연구
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    • 제12권3호
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    • pp.429-440
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    • 2004
  • The age after the French Revolution was the period of experiment and change in dress for both men and women. Directly after the close of the Reign of Terror, Directoire(1795-1799) became the extreme fashion known as incroyables and merveilleuses which mean 'impossible' or 'unimaginable'. This study aimed to investigate the sociocultural phenomena which affect to clothing change through the French Revolution period and clothing analysis of incroyables and merveillues. Furthermore, this study will contribute to establishing the theory of clothing culture and help predicting clothing change in accordance with social circumstances. Incroyables and merveilleuses represent extreme opposites in sleekness of attire and grooming. Incroyables required an unkempt, wrinkled appearance and a contrived carelessness. Merveilleuseses show the exaggerated transparency and simplicity in the fashions of female. Also, they devoted to the worship of the antique and the masculine fashions. This fashion madness appeared as the result of revolutionary social change. Their costume showed characteristics of the transition period between French Revolution and Classic period. However, they simply carried existing tendencies to the point of caricature by an enthusiastic overstatement.

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Convex hulls and extreme points of families of symmetric univalent functions

  • Hwang, J.S.
    • 대한수학회보
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    • 제33권1호
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    • pp.1-16
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    • 1996
  • Earlier in 1935[12], M. S. Robertson introduced the class of quadrant preserving functions. More precisely, let Q be the class of all functions f(z) analytic in the unit disk $D = {z : $\mid$z$\mid$ < 1}$ such that f(0) = 0, f'(0) = 1, and the range f(z) is in the j-th quadrant whenever z is in the j-th quadrant of D, j = 1,2,3,4. This class Q contains the subclass of normalized, odd univalent functions which have real coefficients. On the other hand, this class Q is contained in the class T of odd typically real functions which was introduced by W. Rogosinski [13]. Clearly, if $f \in Q$, then f(z) is real when z is real and therefore the coefficients of f are all real. Recently, it was observed by Y. Abu-Muhanna and T. H. MacGregor [1] that any function $f \in Q$ is odd. Instead of functions "preserving quadrants", the authors [1] have introduced the notion of "preserving sectors".

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가변안내깃 설치각이 다단 축류압축기 성능에 미치는 영향 (Effects of Variable Guide Vane Setting Angle on the Performance of Multi-Stage Axial Compressor)

  • 박준영;서정민;임형수;최범석;최태우;최재호
    • 한국추진공학회지
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    • 제20권5호
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    • pp.9-18
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    • 2016
  • 일반적으로 다단 축류압축기는 부분 부하 조건에서 충분한 운전영역을 확보하기 위해 가변안내깃을 이용한다. 본 연구에서의 해석대상인 다단 축류압축기는 입구에서의 안내깃과 함께 1단과 2단 정익을 가변안내깃으로 하여 운전영역을 확보한다. 따라서 본 연구에서는 정격회전수의 70%와 90% 회전수 조건에서의 가변안내깃의 설치각이 다단 축류압축기의 성능에 미치는 영향에 대해 조사하였다. 다단 축류압축기의 성능은 3차원 정상상태 및 비정상상태 수치해석을 이용하여 확보하였다. 각 해석기법을 통해 확보한 결과를 비교하였으며 내부유동장의 특성을 파악하였다.

Future drought assessment in the Nakdong basin in Korea under climate change impacts

  • 김광섭;노반콴
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2012년도 학술발표회
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    • pp.458-458
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    • 2012
  • Climate extreme variability is a major cause of disaster such as flood and drought types occurred in Korea and its effects is also more severe damage in last decades which can be danger mature events in the future. The main aim of this study was to assess the effectives of climate change on drought for an agriculture as Nakdong basin in Korea using climate change data in the future from data of General Circulation Models (GCM) of ECHO-G, with the developing countries like Korea, the developed climate scenario of medium-high greenhouse gas emission was proposed of the SRES A2. The Standardized Precipitation Index (SPI) was applied for drought evaluation. The drought index (SPI) applied for sites in catchment and it is evaluated accordingly by current and future precipitation data, specific as determined for data from nine precipitation stations with data covering the period 1980-2009 for current and three periods 2010-2039, 2040-2069 and 2070-2099 for future; time scales of 3month were used for evaluating. The results determined drought duration, magnitude and spatial extent. The drought in catchment act intensively occurred in March, April, May and November and months of drought extreme often appeared annual in May and November; drought frequent is a non-uniform cyclic pattern in an irregular repetitive manner, but results showed drought intensity increasing in future periods. The results indicated also spatial point of view, the SPI analysis showed two of drought extents; local drought acting on one or more one of sites and entire drought as cover all of site in catchment. In addition, the meteorology drought simulation maps of spatial drought representation were carried out with GIS software to generate for some drought extreme years in study area. The method applied in this study are expected to be appropriately applicable to the evaluation of the effects of extreme hydrologic events, the results also provide useful for the drought warning and sustainable water resources management strategies and policy in agriculture basins.

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HSA800 강재의 소재특성 및 강도의 균질성에 관한 연구 (A Study on the Material Characteristics of the HSA800 Steel and Homogeneity of Strength)

  • 김종락;이은택;최영한;김상섭
    • 한국강구조학회 논문집
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    • 제28권3호
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    • pp.173-183
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    • 2016
  • 본 연구에서는 HSA800 강재의 7종의 각종 시험을 실시하여 다양한 소재특성을 확인하였으며, 강도에 대한 균질성의 정량적 기준을 제안하였다. 또한 HSA800 강재가 강도에 대한 균질성의 기준을 만족하는지 검토하였다. 시험결과 HSA800 강재의 1/4지점의 소재 특성은 KS를 만족하며, 우수한 방향성, 저온에서의 내충격성이 나타났다. 또한, 제안한 강재의 강도에 대한 균질성의 기준을 만족하였다. 그러나, 마이크로조직시험 결과 2/4 지점에서 일부의 경우 조직이 뭉쳐있는 형태로 확인되어 주의가 요망된다.