• 제목/요약/키워드: Nash Model

검색결과 420건 처리시간 0.03초

지형학적 인자를 고려한 대표순간단위도 추정 (The Estimation of Representative IUH Considering Geomorphological Factors)

  • 김주철;정관수;김재한
    • 한국수자원학회논문집
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    • 제36권1호
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    • pp.23-32
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    • 2003
  • 본 연구는 지형학적 인자를 이용하여 유역 대표순간단위도의 유도를 목적으로 한다. 이를 위하여, Nash 모형을 지형학적 순간단위도 모형과 결합하여 대표순간단위도의 매개변수를 추정하고자 하였다. 금강수계의 지류인 보청천 유역의 산계지점을 대상유역으로 선정하여 총 18개 호우사상에 대한 분석을 수행하였다. 그 결과 n은 3.17, k는 7.01로 나타났으며, 모멘트법에 의해 유도된 순간단위도는 호우사상별로 상당한 차이를 보이고 있었다. 본 연구로부터 얻어진 대표순간단위도는 각 호우사상별로 얻어진 단위도들을 대표할 수 있는 중앙치로 나타났으며, 기왕의 방법들과 비교했을 때, 지형학적 요소를 고려한 본 연구방법의 우월성 및 물리적 의미가 크다고 판단된다.

기상레이더와 지형정보시스템을 이용한 분포형 강우-유출 유역모형의 개발과 검정 (Distributed GIS-Based Watershed Rainfall-Runoff Model Development and Its Calibration using Weather Radar)

  • ;최우희;김민환;김성균
    • 한국수자원학회논문집
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    • 제36권2호
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    • pp.285-300
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    • 2003
  • 기상레이더와 지형정보 시스템을 이용한 홍수사상에 기초하고, 운동역학적이며, 초과강우가 고려된 분포형 강우-유출 유역모형이 개발되었다. 이 유역모형에서 강우로 인한 지표면 유출 및 지표면 흐름과 관련된 각종 변수의 공간적 변동성과 불확실성을 인식하고 설명한다. 개발된 모형은 래스터 지형정보시스템과 공간적ㆍ시간적으로 변하는 강우자료와 호환된다. 몬테칼로 모의와 우도값이 이 모형의 검정을 위하여 이용되었으며, 검정 모형으로부터 반응되는 시스템의 가능범위가 허용되었다. 레이더-강우 추정에 대한 보정으로 강우계가 이용되고, 복잡한 토지이용 상태인 미국 덴버시 도시배수홍수조절 구역내에 있는 두 개 유역들(Ralston Creek와 Goldsmith Gulch 유역)의 제한된 기왕 홍수사상에 이 모형이 적용되었다. 제한된 수의 몬테칼로 모의들과 고려된 홍수사상들을 근거로 관측수문곡선과 계산수문곡선을 비교하여, Nash와 Sutcliffe 효율점수의 범위를 얻게 되었으며, 그 범위는 Ralston Creek과 Goldsmith Gulch 유역에 대한 검정모형들로부터 각각 -0.19∼0.95와 -0.75∼0.81이다. 또 한, Ralston Creek과 Goldsmith Gulch 유역의 Nash와 Sutcliffe 효율점수는 유출용적에 대해 각각 0.88과 0.1, 첨두유량에 대해 0.14와 0.71, 첨두유량 도달시간에 대해 0.99와 0.95로 평가되었다.

Stochastic MAC-layer Interference Model for Opportunistic Spectrum Access: A Weighted Graphical Game Approach

  • Zhao, Qian;Shen, Liang;Ding, Cheng
    • Journal of Communications and Networks
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    • 제18권3호
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    • pp.411-419
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    • 2016
  • This article investigates the problem of distributed channel selection in opportunistic spectrum access networks from a perspective of interference minimization. The traditional physical (PHY)-layer interference model is for information theoretic analysis. When practical multiple access mechanisms are considered, the recently developed binary medium access control (MAC)-layer interference model in the previous work is more useful, in which the experienced interference of a user is defined as the number of competing users. However, the binary model is not accurate in mathematics analysis with poor achievable performance. Therefore, we propose a real-valued one called stochastic MAC-layer interference model, where the utility of a player is defined as a function of the aggregate weight of the stochastic interference of competing neighbors. Then, the distributed channel selection problem in the stochastic MAC-layer interference model is formulated as a weighted stochastic MAC-layer interference minimization game and we proved that the game is an exact potential game which exists one pure strategy Nash equilibrium point at least. By using the proposed stochastic learning-automata based uncoupled algorithm with heterogeneous learning parameter (SLA-H), we can achieve suboptimal convergence averagely and this result can be verified in the simulation. Moreover, the simulated results also prove that the proposed stochastic model can achieve higher throughput performance and faster convergence behavior than the binary one.

선행토양함수조건(AMC)을 고려한 L-THIA WWW 직접유출 모의 정확성 평가 (Evaluation of L-THIA WWW Dimet Runoff Estimation with AMC Adjustment)

  • 김종건;박윤식;전지홍;;안재훈;박영곤;김기성;최중대;임경재
    • 한국물환경학회지
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    • 제23권4호
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    • pp.474-481
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    • 2007
  • With population growth, industrialization, and urbanization within the watershed, the hydrologic response changed dramatically, resulting in increases in peak flow with lesser time to peak and total runoff with shortened time of concentration. Infiltration is directly affected by initial soil moisture condition, which is a key element to determine runoff. Influence of the initial soil moisture condition on hydrograph analysis should be evaluated to assess land use change impacts on runoff and non-point source pollution characteristics. The Long-Term Hydrologic Impact Assessment (L-THIA) model has been widely used for the estimation of the direct runoff worldwide. The L-THIA model was applied to the Little Eagle Creek (LEC) watershed and Its estimated direct runoff values were compared with the BFLOW filtered direct runoff values by other researchers. The $R^2$ value Was 0.68 and the Nash-Sutcliffe coefficient value was 0.64. Also, the L-THIA estimates were compared with those separated using optimized $BFI_{max}$ value for the Eckhardt filter. The $R^2$ value and the Nash-Sutcliffe coefficient value were 0.66 and 0.63, respectively. Although these higher statistics could indicate that the L-THIA model is good in estimating the direct runoff reasonably well, the Antecedent Moisture Condition (AMC) was not adjusted in that study, which might be responsible for mismatches in peak flow between the L-THIA estimated and the measured peak values. In this study, the L-THIA model was run with AMC adjustment for direct runoff estimation. The $R^2$ value was 0.80 and the Nash-Sutcliffe coefficient value was 0.78 for the comparison of L-THIA simulated direct runoff with the filtered direct runoff. However there was 42.44% differences in the L-THIA estimated direct runoff and filtered direct runoff. This can be explained in that about 80% of the simulation period is classified as 'AMC I' condition, which caused lower CN values and lower direct runoff estimation. Thus, the coefficients of the equation to adjust CN II to CN I and CN III depending on AMC condition were modified to minimize adjustments impacts on runoff estimation. The $R^2$ and the Nash-Sutcliffe coefficient values increase, 0.80 and 0.80 respectively. The difference in the estimated and filtered direct runoff decreased from 42.44% to 7.99%. The results obtained in this study indicate the AMC needs to be considered for accurate direct runoff estimation using the L-THIA model. Also, more researches are needed for realistic adjustment of the AMC in the L-THIA model.

배출권 거래를 고려한 쿠르노 모형 기반의 전력시장 모델링 기법에 관한 연구 (Modeling of Electricity Market based on Cournot Theory in consideration of Emissions Trading)

  • 이광호;김욱
    • 한국지능시스템학회논문지
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    • 제24권4호
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    • pp.379-384
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    • 2014
  • 이 논문은 불완전 경쟁시장의 형태를 가지고 있는 전력시장과 탄소배출권시장에서 수익 극대화를 추구하는 발전회사의 전략적 입찰행위를 분석하는데 사용할 수 있는 쿠르노(Cournot) 기반의 전력시장 모델링 기법을 제안한다. 제안된 전력시장의 모델은 크게 두 부분으로 구성되어있다. 첫 번째 모델은 쿠르노 모델을 이용한 발전회사의 전략적 행위에 대한 모델이며, 두 번째 모델은 환경적 후생을 고려하여 전체 사회적 후생을 극대화하기 위한 시장운영자에 대한 모델이다. 두 모델의 결합을 통하여 배출권 거래를 고려한 전력시장의 모델이 구성되었으며, 이에 대한 내쉬균형점(Nash Equilibrium)을 계산하기 위하여 2단계 최적화 기법(Two-level optimization)을 사용하였다. 제안된 모델을 3개의 발전회사가 존재하는 샘플 전력시장에 적용하여 그 효용성을 검토하였다.

Modeling of an Electricity Market Including Operating Reserve and Analysis of Supplier's Bidding Strategies

  • Shin Jae-Hong;Lee Kwang-Ho
    • KIEE International Transactions on Power Engineering
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    • 제5A권4호
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    • pp.396-402
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    • 2005
  • In an electricity market with imperfect competition, participants devise bidding plans and transaction strategies to maximize their own profits. The market price and the quantity are concerned with the operation reserve as well as the bidding system and demand curves in an electricity market. This paper presents a market model combined by an energy market and an operating reserve market. The competition of the generation producers in the combined market is formulated as a gaming of selecting bid parameters such as intersections and slopes in bid functions. The Nash Equilibrium (NE) is analyzed by using bi-level optimization; maximization of Social Welfare (SW) and maximization of the producers' profits.

발전력의 경쟁적 입찰전략과 전략적 보수계획에 대한 결합모형 연구 (Analysis on a Combined Model of Competitive Bidding and Strategic Maintenance Scheduling of Generating Units)

  • 이광호
    • 대한전기학회논문지:전력기술부문A
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    • 제55권9호
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    • pp.392-398
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    • 2006
  • Maintenance scheduling of generating units (MSU) has strategic dimension in an oligopolistic market. Strategic MSU of gencos can affect a market power through capacity withdrawal which is related to bidding strategy in an generation wholesale market. This paper presents a combined framework that models the interrelation between competitive bidding and strategic MSU. The combined game model is represented as some sub-optimization problems of a market operator (MO) and gencos, that should be solved through bi-level optimization scheme. The gradient method with dual variables is also adopted to calculate a Nash Equilibrium (NE) by an iterative update technique in this paper. Illustrative numerical example shows that NE of a supply function equilibrium is obtained properly by using proposed solution technique. The MSU made by MO is compared with that by each genco and that under perfect competition market.

게임이론을 적용한 전력시장 전력거래방식의 후생 측면 비교 연구 (A Comparative Welfare Analysis on the Trading System in an Electricity Market by Using Game Theory)

  • 이광호
    • 대한전기학회논문지:전력기술부문A
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    • 제52권10호
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    • pp.616-623
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    • 2003
  • Competition among electric generation companies is a major goal of restructuring in the electricity industry, The trading system in an electricity market has been one of the most important issues in deregulated electricity market. This paper deals with comparisons of the major two types of the trading system: compulsory pool market and bilateral contract market. The two trading systems are compared quantitatively from the viewpoint of consumer's surplus and social welfare, This paper, also, proposes a unified model of Cournot and Bertrand for analyzing the mixed trading system of pool market and bilateral contract market. Nash equilibrium of the unified model is derived by criteria for participating in bilateral contract market. Numerical results from a sample case show that a mixed trading system of pool market and price-competitive bilateral market is beneficial to consumer from the view points of consumer's surplus.

경쟁적 전력시장에서 한계손실계수 적용시 기준모선 선정에 대한 연구 (A Study on the Selection of Slack Bus at Application of Marginal Loss-Factor in a Competitive Electricity Market)

  • 김상훈;이광호
    • 전기학회논문지
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    • 제58권2호
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    • pp.264-269
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    • 2009
  • Marginal Loss Factor(MLF) is represented as the sensitivity of transmission loss, which is computed from the change of the generation at slack bus by the change of the load at the arbitrary bus. The MLF dependent on the selection of slack bus is one of the key factors affecting nodal pricing, Genco's profits, social welfare(SW) and Nash Equilibrium in a competitive electricity market. This paper addresses the methodology of slack bus selection by using Cournot model of Cost Based Pool market. Numerical results from sample cases show that the slack bus of MLF of the highest average is beneficial from the view points of SW.

Duopoly Model of a Congested Market

  • 오형식
    • 대한산업공학회지
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    • 제20권1호
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    • pp.113-120
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    • 1994
  • A duopoly model is developed in order to examine the effect of imperfect competition on the price-setting behavior of competing providers in a congested market. Multiple Nash price equilibria are found and the implications of such multiple price equilibria are discussed.

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