• Title/Summary/Keyword: Equilibrium problem

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A dividerless COA defuzzifier with an efficient searching of momentum equilibrium point (모멘트 균형점의 효율적 탐색을 갖는 비제산기 COA 비퍼지화기)

  • 김대진;조인현
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.10
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    • pp.80-89
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    • 1996
  • This paper proposes a new COA (center of area) defuzzifier that is working in the accurate and fast manner. The proposed COA defuzzifier involves both membership values and the spans of membership functions in clauclating a crisp value. In additon, it avoid division by replacing the COA calculation with the searching of the momentum equilibrium point. The moment equilibrium point is searched in the coarse-to-fine manner such that the moment computing points during the coarse searching are moved in the interval of fuzzy terms until they are reached at two adjacent fuzzy terms searching method accerlates the finding of the moment equilibrium point by O(M) mazimally when compared iwth the equal interval searching method of ruitz. In order to verify the accuracy of the proposed COA defuzzifier, the crisp values obtained form the proposed coarse-to-fine searching are compared with the precise crisp values from the arithmetic calculation. Application to the truck backer-upper control problem of the proposed COA defuzzifier is presented. The control performance is compared with that of the conventional COA defuzzifier in tems of the average tracing distance.

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Power Control Algorithm with Finite Strategies: Game Theoretic Approach (게임이론을 이용한 유한 전략 집합을 갖는 전력제어 알고리즘)

  • Kim, Ju-Hyup;Jang, Yeon-Sik;Lee, Deok-Joo;Hong, Een-Kee
    • Journal of Advanced Navigation Technology
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    • v.13 no.1
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    • pp.87-96
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    • 2009
  • The purpose of this paper is to analyze the power control problem in wireless communications with game theoretic approach. The major contribution of the present paper is that we formulated the problem as a game with a finite number of strategies while most of the previous game theoretic power control literatures modeled with continuous game in which there are infinite number of strategies. It should be noted that the closed-loop power control would be performed in a discrete manner, power up or down from the present level of power with fixed power control step size. We model the current closed-loop power control scheme with the famous Prisoner's dilemma model and show that the power-up strategy is Nash equilibrium. That is, every mobile tries to increase their power and approach to their maximal power. Thus, the outcome of current power control (Nash equilibrium) is inefficient. In order to attain efficient power control for the environment where ICI(Inter-Cell Interference is severe, we developed a new payoff function in which the penalty mechanism is introduced and derived conditions under which power-down becomes Nash equilibrium strategy for all players. Furthermore we examined the trajectory of equilibrium power when the power control game will be played repeatedly.

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ON SOME GENERALIZED OPERATOR EQUILIBRIUM PROBLEMS

  • Kim, Won Kyu
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.1
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    • pp.59-64
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    • 2007
  • In this paper, we will introduce the generalized operator equlibrium problem and generalized operator quasi-equlibrium problem which generalize operator equlibrium problem due to Kazmi and Raouf into multi-valued and quasi-equlibrium problems. Using a Park's fixed point theorem, we will prove a new existence theorem on generalized operator equlibrium problem which serves as a basic existence theorem for various kinds of nonlinear problems.

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An Improved Generation Maintenance Strategy Analysis in Competitive Electricity Markets Using Non-Cooperative Dynamic Game Theory (비협조 동적게임이론을 이용한 경쟁적 전력시장의 발전기 보수계획 전략 분석)

  • 김진호;박종배;김발호
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.9
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    • pp.542-549
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    • 2003
  • In this paper, a novel approach to generator maintenance scheduling strategy in competitive electricity markets based on non-cooperative dynamic game theory is presented. The main contribution of this study can be considered to develop a game-theoretic framework for analyzing strategic behaviors of generating companies (Gencos) from the standpoints of the generator maintenance-scheduling problem (GMP) game. To obtain the equilibrium solution for the GMP game, the GMP problem is formulated as a dynamic non-cooperative game with complete information. In the proposed game, the players correspond to the profit-maximizing individual Gencos, and the payoff of each player is defined as the profits from the energy market. The optimal maintenance schedule is defined by subgame perfect equilibrium of the game. Numerical results for two-Genco system by both proposed method and conventional one are used to demonstrate that 1) the proposed framework can be successfully applied in analyzing the strategic behaviors of each Genco in changed markets and 2) both methods show considerably different results in terms of market stability or system reliability. The result indicates that generator maintenance scheduling strategy is one of the crucial strategic decision-makings whereby Gencos can maximize their profits in a competitive market environment.

ON COMPLEX VARIABLE METHOD IN FINITE ELASTICITY

  • Akinola, Ade
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.183-198
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    • 2003
  • We highlight the alternative presentation of the Cauchy-Riemann conditions for the analyticity of a complex variable function and consider plane equilibrium problem for an elastic transversely isotropic layer, in finite deformation. We state the fundamental problems and consider traction boundary value problem, as an example of fundamental problem-one. A simple solution of“Lame's problem”for an infinite layer is obtained. The profile of the deformed contour is given; and this depends on the order of the term used in the power series specification for the complex potential and on the material constants of the medium.

Strategy for Task Offloading of Multi-user and Multi-server Based on Cost Optimization in Mobile Edge Computing Environment

  • He, Yanfei;Tang, Zhenhua
    • Journal of Information Processing Systems
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    • v.17 no.3
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    • pp.615-629
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    • 2021
  • With the development of mobile edge computing, how to utilize the computing power of edge computing to effectively and efficiently offload data and to compute offloading is of great research value. This paper studies the computation offloading problem of multi-user and multi-server in mobile edge computing. Firstly, in order to minimize system energy consumption, the problem is modeled by considering the joint optimization of the offloading strategy and the wireless and computing resource allocation in a multi-user and multi-server scenario. Additionally, this paper explores the computation offloading scheme to optimize the overall cost. As the centralized optimization method is an NP problem, the game method is used to achieve effective computation offloading in a distributed manner. The decision problem of distributed computation offloading between the mobile equipment is modeled as a multi-user computation offloading game. There is a Nash equilibrium in this game, and it can be achieved by a limited number of iterations. Then, we propose a distributed computation offloading algorithm, which first calculates offloading weights, and then distributedly iterates by the time slot to update the computation offloading decision. Finally, the algorithm is verified by simulation experiments. Simulation results show that our proposed algorithm can achieve the balance by a limited number of iterations. At the same time, the algorithm outperforms several other advanced computation offloading algorithms in terms of the number of users and overall overheads for beneficial decision-making.

Cooperative User Equilibrium Under Advanced Traveler Information Systems (첨단교통정보체계(ATIS)하에서 협력적 사용자 균형)

  • Lim Yong-Taek
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.4 no.1 s.6
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    • pp.81-88
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    • 2005
  • Cooperation among network users would be possible in a near future, as real time communication between them can be available by telematics. This implies that non-cooperative assumption like Wardrop's principle, which has been widely used so far in network modelling may not be appropriate for route choice problem. So a new principle requires for describing such cooperative case. This paper presents a criterion, which represents cooperative route choice behaviour among network users. With some examples, we compare the non-cooperative principle and the cooperative one presented in this paper. Numerical results from the examples show that the new principle would be better than the existing one.

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Equilibrium of transport mode choice in logit model (로짓 수단선택모형의 균형연구)

  • Im, Yong-Taek
    • Journal of Korean Society of Transportation
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    • v.28 no.5
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    • pp.131-139
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    • 2010
  • The transport mode choice problem is to determine which of the alternative transport modes connecting an origin and destination will be used by a traveler. Most of the research relating to transport mode choice have mainly been focused on modeling, properties, and applications of the model, but rarely were concerned with equilibrium among the modes. This paper proves the equilibrium among the modes by using a logit mode choice model, and then verifies it with the Korean Transport Database (KTDB). In order to obtain such an equilibrium, this paper also presents a solution algorithm based on the fixed point theorem. The algorithm was tested with an example and confirmed the equilibrium solution.

Some explicit solutions to plane equilibrium problem for no-tension bodies

  • Lucchesi, Massimiliano;Zani, Nicola
    • Structural Engineering and Mechanics
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    • v.16 no.3
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    • pp.295-316
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    • 2003
  • A method is presented to integrate explicitly certain equilibrium problems for no-tension bodies, in absence of body forces and under the assumption that two of the principal stresses are everywhere null. The method is exemplified in the case of rectangular panels, clamped at their bottoms and loaded at their tops.

A Study of the Equilibrium Result Index of Franchise Head Office (프랜차이즈본부(本部)의 균형성과지표개발(均衡成果指標開發)에 관한 연구(硏究))

  • Lee, Sang-yoon
    • Journal of Distribution Science
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    • v.3 no.1
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    • pp.69-90
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    • 2005
  • In research of a paper, the comparative study of the various precedence management result evaluation indices tends to be made, and it is going to show the improvement bill of the new franchise headquarters management result evaluation index by the equilibrium result table which compensated the problem stated from the contents of precedence research about the existing franchise management result evaluation index, and was corrected.

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