• 제목/요약/키워드: Differential game

검색결과 49건 처리시간 0.025초

퍼지인식도와 미분게임에 기초한 전략계획 시뮬레이션에 관한 연구 (A Study on the Strategic Planning Simulation Based on Fuzzy Cognitive Map and Differential Game)

  • 이건창
    • 한국시뮬레이션학회논문지
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    • 제4권1호
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    • pp.45-57
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    • 1995
  • 본 연구는 불확실한 경영환경하에서 전략목표에 영향을 미치는 환경요인을 확인하고, 이를 다시 전략계획 시뮬레이션 모형에 체계적으로 반영하기 위한 새로운 전략계획 시뮬레이션 모형을 제안한다. 본 연구에서 제안하는 전략계획 시뮬레이션 모형은 (1) 환경요인 분석을 위하여 퍼지인식도(Fuzzy Cognitive Map)를 적용하고, (2) 경쟁관계를 체계적으로 반영하기 위하여 미분게임(Differential Game) 모형을 이용한다. 퍼지인식도는 특정 의사결정 문제에 있어서 관련된 여러 개념간의 인과관계를 해석하고 그를 통하여 해당 문제전체에 관한 효과적인 의사결정을 지원하는 소위 구조적 모형화(Structural Modeling)도구의 한 방법이다. 한편, 본 연구에서는 미분게임을 이용하여, 퍼지인식도에 의하여 확인된 환경요인을 변수로 감안하고, 아울러 경쟁관계를 수식화 하므로써 보다 체계적인 시뮬레이션이 가능하다. 제안된 전략계획 수립 시뮬레이션 모형을 동태적 광고모형(dynamic advertising model)에 적용하므로써 보다 효과적인 경영전략계획 수립이 가능함을 보였다.

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Control system design for a manipulator under parameter perturbation

  • Shimomoto, Y.;Kisu, H.;Ishimatsu, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.346-349
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    • 1994
  • This paper is concerned with a motion control of a manipulator under parametric uncertainties and external disturbances. The parametric uncertainties are regarded as internally generated disturbances in the manipulator. Based on this idea, we formulate a model reference control problem with desired disturbance attenuation. The solution of this control problem not only reduces the worst-case effect on tracking error due to internal and external disturbances (combined disturbances) as much as possible, but also achieve optimal tracking when perturbations are absent. In order to solve the control problem which is formulated in this paper we reduce it to a constrained minmax cost control problem. A differential game theory is used to treat this constrained minmax cost control problem. The differential game theory leads to a sufficient condition for the global solvability of the model reference control problem with desired disturbance attenuation.

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최악의 대기 조건 하의 공기조력 비행선 운전 (Aeroassisted Orbital Maneuvering in a Worst-Case Atmosphere)

  • 이병수
    • 제어로봇시스템학회논문지
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    • 제6권10호
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    • pp.936-941
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    • 2000
  • Advanced space transportation systems, such as the National Aerospace Plane or an Orbital Transfer Vehicle, have atmospheric maneuvering capabilities. For such vehicles the use of aeroassisted orbital transfer from a high Earth orbit to a low Earth orbit, with unpowered flight in the atmosphere, has the potential for significant fuel savings compared to exoatmospheric Hohmann transfer. However, to exploit the fuel savings that can be achieved by using the Earths atmosphere to reduce the vehicles energy, a guidance law is required, and it must be able to handle large unpredictable fluctuations in atmospheric density, on the order of ${\pm}$50% relative to the 1962 US Standard Atmosphere. In this paper aeroassisted orbital transfer is considered as a differential game, with Nature controlling the atmosphere density to yield a worst case (min-max fuel required) atmosphere, from which the guaranteed playable set boundary are achieved. Inside the playable set, it is guaranteed that the vehicle achieves the optimal atmospheric exit condition for the minimum fuel consumption regardless of the atmospheric density variations.

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Dynamic Adjustment of Noncooperative Games Where Informations are Given at Discrete Time Intervals

  • Oh, Hyungjae
    • 한국경영과학회지
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    • 제15권2호
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    • pp.71-83
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    • 1990
  • This paper concerns the analyses of dynamic adjustments in noncooperative games where the market informations are given at discrete time intervals. During the game period, the market informations are given at discrete time intervals. During the game period, the inventories initially stored by players are to be released one day based to the completely competitive market so as to maximize each player's revenue, where players' parameters are unknown one another. Game results have shown that the continuous dynamic adjustment does not necessarily assure the better revenue, and if a player thinks that his parameter is underestimated by hig opponent, then he is better overestimate his opponent's parameter.

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OPTIMAL STRATEGIES IN BIOECONOMIC DIFFERENTIAL GAMES: INSIGHTS FROM CHEBYSHEV TAU METHOD

  • Shahd H. Alkharaz;Essam El-Siedy;Eliwa M. Roushdy;Muner M. Abou Hasan
    • Nonlinear Functional Analysis and Applications
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    • 제29권2호
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    • pp.527-543
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    • 2024
  • In the realm of differential games and bioeconomic modeling, where intricate systems and multifaceted interactions abound, we explore the precision and efficiency of the Chebyshev Tau method (CTM). We begin with the Weierstrass Approximation Theorem, employing Chebyshev polynomials to pave the way for solving intricate bioeconomic differential games. Our case study revolves around a three-player bioeconomic differential game, unveiling a unique open-loop Nash equilibrium using Hamiltonians and the FilippovCesari existence theorem. We then transition to numerical implementation, employing CTM to resolve a Three-Point Boundary Value Problem (TPBVP) with varying degrees of approximation.

기술이전하에서의 연구개벌투자에 관한 동적게임 (A Dynamic Game of R & D Investment Under Technology Transfer)

  • 오형식
    • 한국경영과학회지
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    • 제11권2호
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    • pp.7-12
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    • 1986
  • The problem of strategic R & D investment is formulate as a differential game model and solved explicity for a special case. It is shown that, at equilibrium, an increase in the intensity of market competition or a decrease in the role of technology transfer results in an increase in the initial rate of investment by competing tfirms. The increased initial investment rate may enhance the rate of technology development. This dynamic model can be used to propose non cooperative R & D investment policies in technologically competitive situation.

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A Raid-Type War-Game Model Based on a Discrete Multi-Weapon Lanchester's Law

  • Baik, Seung-Won
    • Management Science and Financial Engineering
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    • 제19권2호
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    • pp.31-36
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    • 2013
  • We propose a war-game model that is appropriate for a raid-type warfare in which, a priori, the maneuver of the attacker is relatively certain. The model is based on a multi-weapon extention of the Lanchester's law. Instead of a continuous time dynamic game with the differential equations from the Lanchester's law, however, we adopt a multi-period model relying on a time-discretization of the Lanchester's law. Despite the obvious limitation that two players make a move only on the discrete time epochs, the pragmatic model has a manifold justification. The existence of an equilibrium is readily established by its equivalence to a finite zero-sum game, the existence of whose equilibrium is, in turn, well-known to be no other than the LP-duality. It implies then that the war-game model dictates optimal strategies for both players under the assumption that any strategy choice of each player will be responded by a best strategy of her opponent. The model, therefore, provides a sound ground for finding an efficient reinforcement of a defense system that guarantees peaceful equilibria.

진화계산 기반 인공에이전트를 이용한 교섭게임 (Bargaining Game using Artificial agent based on Evolution Computation)

  • 성명호;이상용
    • 디지털융복합연구
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    • 제14권8호
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    • pp.293-303
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    • 2016
  • 근래에 진화 연산을 활용한 교섭 게임의 분석은 게임 이론 분야에서 중요한 문제로 다루어지고 있다. 본 논문은 교섭 게임에서 진화 연산을 사용하여 이기종 인공 에이전트 간의 상호 작용 및 공진화 과정을 조사하였다. 교섭게임에 참여하는 진화전략 에이전트들로서 유전자 알고리즘(GA), 입자군집최적화(PSO) 및 차분진화알고리즘(DE) 3종류를 사용하였다. GA-agent, PSO-agent 및 DE-agent의 3가지 인공 에이전트들 간의 공진화 실험을 통해 교섭게임에서 가장 성능이 우수한 진화 계산 에이전트가 무엇인지 관찰 실험하였다. 시뮬레이션 실험결과, PSO-agent가 가장 성능이 우수하고 그 다음이 GA-agent이며 DE-agent가 가장 성능이 좋지 않다는 것을 확인하였다. PSO-agent가 교섭 게임에서 성능이 가장 우수한 이유를 이해하기 위해서 게임 완료 후 인공 에이전트 전략들을 관찰하였다. PSO-agent는 거래 실패로 인해 보수를 얻지 못하는 것을 감수하고서라도 가급적 많은 보수를 얻기 위한 방향으로 진화하였다는 것을 확인하였으며, 반면에 GA-agent와 DE-agent는 소량의 보수를 얻더라도 거래를 성공시키는 방향으로 진화하였다는 것을 확인하였다.

DPCM-GR 방식을 이용한 CUDA 기반 초고해상도 게임 영상 무손실 비동기 압축 (CUDA based Lossless Asynchronous Compression of Ultra High Definition Game Scenes using DPCM-GR)

  • 김영식
    • 한국게임학회 논문지
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    • 제14권6호
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    • pp.59-68
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    • 2014
  • 초고해상도 UHD($096{\times}2160$) 게임 영상의 메모리 대역폭 요구량은 기하급수적으로 늘어난다. 본 논문에서는 화질 저하 없이 메모리 대역폭 문제를 해결하기 위하여 CUDA 환경에서 비트 병렬 파이프라인을 지원하는 논문 [4]의 DDPCM-GR 압축 알고리즘을 변형한 DPCM-GR 방식을 적용한 무손실 압축을 구현하였다. CUDA 공유메모리 사용을 통한 효율성을 증대하였으며, paged-locked 호스트 메모리 비동기 전송을 통한 커널과 데이터 전송 중첩의 다양한 구성을 구현하였다. 실험을 통하여 CPU 방식에 비하여 최대 31.3배 속도 향상을 이루었으며, 비동기 전송 구성의 변화를 통하여 최대 30.3% 수행 시간이 감소하였다.

Stability analysis of the ball after contacting with the earth in the volleyball game: A multi-physics simulation

  • Yang Sun;Yuhan Lin;Yuehong Ma
    • Structural Engineering and Mechanics
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    • 제85권6호
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    • pp.809-823
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    • 2023
  • In this work, dynamic stability analysis of the ball after contacting with the earth in the volleyball game is presented. Via spherical shell coordinate, the governing equations and general boundary conditions of the ball after contacting with the earth in the volleyball game is studied. Via Comsol multi-physics simulation, some results are presented and a verification between the outcomes is studied. Harmonic differential quadrature method (HDQM) is utilized to solve the dynamic equations with the aid of boundary nodes of the current spherical shell structure. Finally, the results demonstrated that thickness, mass of the ball and internal pressure of the ball alters the frequency response of the structure. One important results of this study is influence of the internal pressure. Higher internal pressure causes lower frequency and hence reduces the stability of the ball.