• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2005년도 제36회 하계학술대회 논문집 A
• /
• pp.775-777
• /
• 2005

In this paper, effects of the subsidy in the electricity market on the market equilibrium are analyzed. The generation competition markets are considered as the basic market structure. The market equilibrium with Cournot game model is derived, first. Then, the variation of Nash equilibrium is investigated when the subsidies to generation companies are provided. The market equilibrium with the subsidy in the electricity market, which is equivalent to the subgame perfect equilibrium, is analytically derived using Stackelberg game model and backward induction method. From this, how the provisions of subsidy to generation companies can affect the strategic behaviors of the generation companies and corresponding market equilibrium are explored, in this paper. Numerical examples are provided to illustrate the basic idea of this paper.

• International Journal of Aeronautical and Space Sciences
• /
• 제17권4호
• /
• pp.455-466
• /
• 2016

Chemical-kinetic parameters of the equilibrium constants to evaluate the reverse rate coefficients in the shock layer of a blunt body and the expanding flows are derived for the temperature range from 300 K to 20,000 K. The expanded equilibrium constants for the chemical reactions of the dissociation, ionization, associative ionization, and neutral and charge exchange reactions of the atmospheric species and carbon materials are proposed in the present work. In evaluating the equilibrium constants, the inter-nuclear potential energies of the molecular species are calculated by the analytical potential function of the Hulburt-Hirschfelder model, and the parameters of the analytical model are determined from the semi-classically calculated RKR potentials. The electronic states and energies of the atoms are calculated by the electronic energy grouping model, and the rovibrational states and energies of each electronic states of the molecules are evaluated by the WKB method. The expanded equilibrium constants for 31 types of the reactions are provided for the best curve-fit functions, and the recombination reaction rate coefficients evaluated from the present equilibrium constants are compared with existing measured values.

• 한국경영과학회지
• /
• 제34권4호
• /
• pp.123-138
• /
• 2009

This study examined the first- and second-best pricing by stable dynamics in congested transportation networks. Stable dynamics, suggested by Nesterov and de Palma (2003), is a new model which describes and provides a stable state of congestion in urban transportation networks. The first-best pricing in user equilibrium models introduces user-equilibrium in the system-equilibrium by tolling the difference between the marginal social cost and the marginal private cost on each link. Nevertheless, the second-best pricing, which levies the toll on some, but not all, links, is relevant from the practical point of view. In comparison with the user equilibrium model, the stable dynamic model provides a solution equivalent to system-equilibrium if it is focused on link flows. Therefore the toll interval on each link, which keeps up the system-equilibrium, is more meaningful than the first-best pricing. In addition, the second-best pricing in stable dynamic models is the same as the first-best pricing since the toll interval is separately given by each link. As an effect of congestion pricing in stable dynamic models, we can remove the inefficiency of the network with inefficient Braess links by levying a toll on the Braess link. We present a numerical example applied to the network with 6 nodes and 9 links, including 2 Braess links.

• 대한교통학회지
• /
• 제28권5호
• /
• pp.131-139
• /
• 2010

통행수단을 선택하는 문제는 기종점간을 운행하는 여러 교통수단 중 어떤 통행수단을 선택할 것인가를 결정하는 것이다. 현재까지 제시된 대부분의 통행수단 관련연구들은 모형의 속성이나 풀이과정, 현실 적용방법들에 관한 것으로서 수단선택시 통행수단간에 존재하는 균형(equilibrium)에 대한 연구는 거의 없는 실정이다. 즉, 통행자가 통행수단을 선택할 때 이들 수단간에 균형이 존재한다는 것으로 이는 마치 통행배정모형(traffic assignment)에서 경로선택(route choice)시 경로들간에 Wardrop의 사용자 균형(user equilibrium)이 존재하는 것처럼, 수단선택시에도 수단간에 균형이 존재할 수 있다는 것이다. 본 연구는 통행수단간에 이런 균형이 존재함을 증명하며, 국가교통DB(KTDB)자료를 이용하여 균형이 존재함을 확인한다. 또한, 본 연구에서 증명한 균형상태의 수단간 선택확률을 구하기 위한 모형과 풀이과정도 제시하는데, 제시하는 모형은 고정점이론(fixed point theorem)에 기초한다. 제시된 모형은 간단한 예제를 통하여 평가하며, 통행수단간 균형상태의 해를 도출하고 있음을 확인한다.

• 한국전산구조공학회논문집
• /
• 제22권4호
• /
• pp.331-334
• /
• 2009

본 논문에서는 원자적 계산(atomistic calculation)을 위한 해석적 모델로 surface relaxation model을 제시한다. 기존의 분자정역학(molecular statics)이 모든 원자의 위치를 자유도로 선정하여 사용하는데 반하여, 이 모델은 면내방향에 해당하는 두 개의 자유도로 나노박막의 원자 위치를 기술하는 매우 간단한 방법이다. 본 연구에서는 surface relaxation model을 이용하여 표면응력(surface stress)과 표면강성계수(surface stiffness tensor)와 같은 표면인자(surface parameter)의 계산을 수행하고, surface stress model을 이용하여 평형상태에서의 원자의 위치정보를 계산한다. 그리고 surface relaxation model을 검증하기 위하여 분자동역학 전산모사(molecular dynamics simulation)의 수치 결과가 제시되며, 본 연구에서 계산한 equilibrium strain과 비교 검증한다.

• 대한환경공학회지
• /
• 제27권10호
• /
• pp.1043-1051
• /
• 2005

이류-확산 국부적 평형흡착모델(convection-dispersion local equilibrium sorption model)과 Two-site 비평형 흡착모델(non-equilibrium sorption model)을 이용하여 철(Fe)의 토양 내 흡착 및 이동특성을 살펴보았다. 회분실험에서는 철의 주입농도를 변화시키면서 시간에 따른 농도변화를 측정함으로써 철의 흡착특성을 선형흡착등온선과 Freundlich 흡착등온선으로 살펴보았으며, 칼럼실험에서는 주입유속, 유기물함량, 철의 농도를 변화시키면서 주입액과 유출액의 철의 농도를 측정하고, CXTFIT 프로그램을 이용하여 two-site 비평형 흡착 모델에 사용된 매개변수(D, R, ${\beta}$, ${\omega}$)를 구하였다. CXTFIT 프로그램에 의해 구하여진 매개변수들을 이용하여 철의 토양 내 이동특성을 살펴보았으며, 철과 같은 흡착성 물질의 이동특성은 two-site 비평형 흡착모델에 의해 예측할 수 있음을 알 수 있었다.

• Kyungpook Mathematical Journal
• /
• 제60권2호
• /
• pp.319-334
• /
• 2020

We propose a mathematical model with Holling type II functional response, to study the dynamics of vaccination. In order to make our model more realistic, we have incorporated the recruitment of infected individuals as a continuous process. We have assumed that vaccination cannot be perfect and there is always a possibility of re-infection. We have obtained the existence of a disease free and endemic equilibrium point, when the recruitment of infective is not considered and also obtained the existence of at least one endemic equilibrium point when recruitment of infective is considered. We have proved that if R_v < 1, disease free equilibrium is locally asymptotically stable, which leads to the elimination of the disease from the population. The persistence of the model has also been established. Numerical simulations have been done to establish the results obtained.

• 한국경영과학회지
• /
• 제38권4호
• /
• pp.1-9
• /
• 2013

We propose a heuristic algorithm for war-game model that is appropriate for warfare in which the maneuver of the attacker is relatively certain. Our model is based on a multi-weapon extention of the Lanchester's square law. However, instead of dealing with the differential equations, we use a multi-period linear approximation which not only facilitates a solution method but also reflects discrete natures of warfare. Then our game model turns out to be a continuous game known to have an ${\varepsilon}$-Nash equilibrium for all ${\varepsilon}{\geq}0$. Therefore, our model approximates an optimal warfare strategies for both players as well as an efficient reinforcement of area defense system that guarantees a peaceful equilibrium. Finally, we report the performance of a practical best-response type heuristic for finding an ${\varepsilon}$-Nash equilibrium for a real-scale problem.

• Management Science and Financial Engineering
• /
• 제13권2호
• /
• pp.99-116
• /
• 2007

This paper considers the value of location in a linear city model and examines the product differentiation equilibrium of duopoly providing different benefits to consumers. We show that if the value of location is small, symmetric location equilibrium occurs where two firms follow the maximal differentiation principle. However, as the value of location increases, asymmetric location equilibrium occurs where the low-value-location firm moves to the high-value-location firm and thus adjusted maximal differentiation principle holds. We also investigate two different price leadership model and demonstrate the relationship between the value of location and the role of price leadership. In particular, we show that when the location value is high, the price leadership by high-value-location firm will appear as a unique equilibrium.

• 대한교통학회:학술대회논문집
• /
• 대한교통학회 2002년도 제41회 학술발표회논문집
• /
• pp.97-139
• /
• 2002

The aim of the present study is to find a good quality user equilibrium assignments under time varying condition. For this purpose, this study introduces a dynamic network loading method that can maintain correct flow propagation as well as flow conservation, and it develops a novel solution algorithm that does not need evaluation of the objective function by modifying the Schittenhelm (1990)'s algorithm. This novel algorithm turns out to be efficient and convenient compared to the conventional Frank-Wolfe (1956) algorithm because the former finds solutions based on routes rather than links so that it can maintain correct flow propagation intrinsically in the time-varying network conditions. The application of dynamic user equilibrium (DUE) assignment model with this novel solution algorithm to test networks including medium-sized one shows that the present DUE assignment model gives rise to high quality discrete time solutions when we adopt the deterministic queuing model for a link performance function, and we associate flows and costs in a proper way.