• Title/Summary/Keyword: 파레토곡선

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Multi-Objective Optimization for Orthotrpic Steel Deck Bridges (강상판교의 다목적 최적설계)

  • Cho, Hyo Nam;Chung, Jee Seung;Min, Dae Hong
    • Journal of Korean Society of Steel Construction
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    • v.14 no.3
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    • pp.395-402
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    • 2002
  • This study proposed a muti-objective optimum design method for rational optimizing of orthotropic steel deck bridges. This multi-objective optimum design method was found to be effective in optimizing multi-objective problems, considering cost and deflection functions. It may ve difficult to optimize orthotropic steel deck bridges using a conventional optimization, since the bridges have several parts and show complex structural behaviors. Therefore, the Pareto curve can be obtained by performing the multi-objective optimization for real orthotropic steel deck bridges, using the multi-level technique with excellent efficiency. A reasonable and economical design can be attained using the Parato curve in the cost and deflection functions of the bridge. Thus, more reasonable design values can be determined based on a comparison with those using a conventional design procedure.

원의 성질을 이용한 Lorenz 곡선과 Gini index의 추정

  • Han, Jun-Tae;Gang, Seok-Bok;Jo, Yeong-Seok
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.121-126
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    • 2003
  • 소득분배의 가장 대표적인 불평등척도는 Gini index이며, 이것은 통계학자인 Gini가 제안한 지표로서 소득분배에 관한 분석에서 가장 널리 이용되고 있다. 본 논문에서는 두 원의 호에 의해 Lorenz 곡선을 추정하고 코사인법칙을 이용하여 Gini index를 추정하기 위한 새로운 간편한 방법을 제시하여, 소득분포를 따르는 파레토분포에서 모의실험을 통해 Ogwang and Rao (1996)의 추정방법과 평균제곱오차 면에서 비교 분석한다.

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Prediction of Stream Flow on Probability Distributed Model using Multi-objective Function (다목적함수를 이용한 PDM 모형의 유량 분석)

  • Ahn, Sang-Eok;Lee, Hyo-Sang;Jeon, Min-Woo
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.5
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    • pp.93-102
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    • 2009
  • A prediction of streamflow based on multi-objective function is presented to check the performance of Probability Distributed Model(PDM) in Miho stream basin, Chungcheongbuk-do, Korea. PDM is a lumped conceptual rainfall runoff model which has been widely used for flood prevention activities in UK Environmental Agency. The Monte Carlo Analysis Toolkit(MCAT) is a numerical analysis tools based on population sampling, which allows evaluation of performance, identifiability, regional sensitivity and etc. PDM is calibrated for five model parameters by using MCAT. The results show that the performance of model parameters(cmax and k(q)) indicates high identifiability and the others obtain equifinality. In addition, the multi-objective function is applied to PDM for seeking suitable model parameters. The solution of the multi-objective function consists of the Pareto solution accounting to various trade-offs between the different objective functions considering properties of hydrograph. The result indicated the performance of model and simulated hydrograph are acceptable in terms on Nash Sutcliffe Effciency*(=0.035), FSB(=0.161), and FDBH(=0.809) to calibration periods, validation periods as well.

Estimation of the Gini Index Based on the Properties of Circle (원의 성질을 이용한 GINI INDEX의 추정)

  • 강석복;조영석
    • The Korean Journal of Applied Statistics
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    • v.16 no.2
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    • pp.283-291
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    • 2003
  • The Gini index is one of the most commonly used measures of inequality of income distributions. In this paper, the Lorenz curve is estimated by arcs of two optimal circles, and a new simple method to estimate the Gini index is proposed using the law of cosines. We compare the proposed estimator with the estimator proposed by Ogwang and Rao(1996) in terms of the mean squared error(MSE) though Monte Carlo simulation in a Pareto distribution.

Perfect Substitution and Aggregation in A System of Marginal Valuation Functions (한계가치함수체계의 완전대체성과 상품결합성)

  • Park, Hoanjae
    • Environmental and Resource Economics Review
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    • v.12 no.3
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    • pp.427-452
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    • 2003
  • Demand analyses often assume perfect substitution and some level of aggregation before analysis and data collection. Earlier works on this subject are carried out in the context of ordinary demand systems. However, perfect substitution is a degenerate special case in the systems and it is much more easily handled in a system of marginal value functions and no previous analysis has used the marginal value functions to test for perfect substitution and make possible aggregation with prior restrictions. In this article, we present the empirical results on a system of marginal value functions in fisheries and pose testable results of perfect substitution and aggregation. The contribution of this article is new establishment of a set of restrictions implying perfect substitutability among all commodities and the application to the problem of commodity aggregate. A system of marginal value functions is estimated in fisheries and its implication of perfect substitution is reasonably drawn.

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Aerodynamic Optimization of 3 Dimensional Wing-In-Ground Airfoils Using Multi-Objective Genetic Algorithm (지면효과를 받는 3 차원 WIG 선의 익형 형상 최적화)

  • Lee, Ju-Hee;You, Keun-Yeal;Park, Kyoung-Woo
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.3080-3085
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    • 2007
  • Shape optimization of the 3-dimensional WIG airfoil with 3.0-aspect ratio has been performed by using the multi-objective genetic algorithm. The WIG ship effectively floating above the surface by the ram effect and the virtual additional aspect ratio by a ground is one of next-generation and cost-effective transportations. Unlike the airplane flying out of the ground effect, a WIG ship has possibility to capsize because of unsatisfying the static stability. The WIG ship should satisfy aerodynamic properties as well as a static stability. They tend to strong contradict and it is difficult to satisfy aerodynamic properties and static stability simultaneously. It is inevitable that lift force has to scarify to obtain a static stability. Multi-objective optimization technique that the individual objectives are considered separately instead of weighting can overcome the conflict. Due to handling individual objectives, the optimum cannot be unique but a set of nondominated potential solutions: pareto optimum. There are three objectives; lift coefficient, lift-to-drag ratio and static stability. After a few evolutions, the non-dominated pareto individuals can be obtained. Pareto sets are all the set of possible and excellent solution across the design space. At any selections of the pareto set, these are no better solutions in all design space

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Global Shape Optimization of Airfoil Using Multi-objective Genetic Algorithm (다목적 유전알고리즘을 이용한 익형의 전역최적설계)

  • Lee, Ju-Hee;Lee, Sang-Hwan;Park, Kyoung-Woo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.10 s.241
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    • pp.1163-1171
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    • 2005
  • The shape optimization of an airfoil has been performed for an incompressible viscous flow. In this study, Pareto frontier sets, which are global and non-dominated solutions, can be obtained without various weighting factors by using the multi-objective genetic algorithm An NACA0012 airfoil is considered as a baseline model, and the profile of the airfoil is parameterized and rebuilt with four Bezier curves. Two curves, front leading to maximum thickness, are composed of five control points and the rest, from maximum thickness to tailing edge, are composed of four control points. There are eighteen design variables and two objective functions such as the lift and drag coefficients. A generation is made up of forty-five individuals. After fifteenth evolutions, the Pareto individuals of twenty can be achieved. One Pareto, which is the best of the . reduction of the drag furce, improves its drag to $13\%$ and lift-drag ratio to $2\%$. Another Pareto, however, which is focused on increasing the lift force, can improve its lift force to $61\%$, while sustaining its drag force, compared to those of the baseline model.

Genetic Algorithm based Methodology for Network Performance Optimization (유전자 알고리즘을 이용한 WDM 네트워크 최적화 방법)

  • Yang, Hyo-Sik
    • Journal of the Institute of Convergence Signal Processing
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    • v.9 no.1
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    • pp.39-45
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    • 2008
  • This paper considers the multi-objective optimization of a multi-service arrayed waveguide grating-based single-hop WDM network with the two conflicting objectives of maximizing throughput while minimizing delay. This paper presents a genetic algorithm based methodology for finding the optimal throughput-delay tradeoff curve, the so-called Pareto-optimal frontier. Genetic algorithm based methodology provides the network architecture parameters and the Medium Access Control protocol parameters that achieve the Pareto-optima in a computationally efficient manner. The numerical results obtained with this methodology provide the Pareto-optimal network planning and operation solution for a wide range of traffic scenarios. The presented methodology is applicable to other networks with a similar throughput-delay tradeoff.

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Determining proper threshold levels for hydrological drought analysis based on independent tests (수문학적 가뭄 특성 분석을 위한 독립성 검정 기반의 적정 임계수준 결정)

  • Kim, Tae-Woong;Park, Ji Yeon;Shin, Ji Yae
    • Journal of Korea Water Resources Association
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    • v.53 no.3
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    • pp.193-200
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    • 2020
  • Hydrological drought is directly associated with lack of available water in rivers, reservoirs, and groundwater. It is important to analyze hydrological drought for efficient water resource management because most of rainfall is concentrated in wet seasons and water supply is highly dependent on dams and reservoirs in South Korea. Generally, a threshold level method is useful for defining hydrological droughts. However, this method causes interdependent problems between drought events which result in skewed results in further statistical analysis. Therefore, it is necessary to determine a proper threshold level to represent regional drought characteristics. In this study, applying 50~99 percentiles of daily flow-duration curve, hydrological drought events were extracted, and independence tests were conducted for 12 watersheds. The Poisson independence test showed that 87~99 percentiles were available for most stations except for Yeoju and Pyeongtaek. The generalized Pareto independence test showed that 80~90 percentiles were the most common. Mean excess plot showed that 80 ~ 90 percentiles were the most common. Therefore, the common ranges of the three independent tests were determined for each station and proper threshold levels were recommended for large river basins; 70~76 percentiles for the Han River basin, 87~91 percentiles for the Nakdong River basin, 86~98 percentiles for the Geum River basin, and 85~87 percentiles for the Youngsan and Seomjin River basin.