• 제목/요약/키워드: equilibrium analysis

검색결과 2,200건 처리시간 0.032초

ON THE PROXIMAL POINT METHOD FOR AN INFINITE FAMILY OF EQUILIBRIUM PROBLEMS IN BANACH SPACES

  • Khatibzadeh, Hadi;Mohebbi, Vahid
    • 대한수학회보
    • /
    • 제56권3호
    • /
    • pp.757-777
    • /
    • 2019
  • In this paper, we study the convergence analysis of the sequences generated by the proximal point method for an infinite family of pseudo-monotone equilibrium problems in Banach spaces. We first prove the weak convergence of the generated sequence to a common solution of the infinite family of equilibrium problems with summable errors. Then, we show the strong convergence of the generated sequence to a common equilibrium point by some various additional assumptions. We also consider two variants for which we establish the strong convergence without any additional assumption. For both of them, each iteration consists of a proximal step followed by a computationally inexpensive step which ensures the strong convergence of the generated sequence. Also, for this two variants we are able to characterize the strong limit of the sequence: for the first variant it is the solution lying closest to an arbitrarily selected point, and for the second one it is the solution of the problem which lies closest to the initial iterate. Finally, we give a concrete example where the main results can be applied.

Applying the Nash Equilibrium to Constructing Covert Channel in IoT

  • Ho, Jun-Won
    • International Journal of Internet, Broadcasting and Communication
    • /
    • 제13권1호
    • /
    • pp.243-248
    • /
    • 2021
  • Although many different types of covert channels have been suggested in the literature, there are little work in directly applying game theory to building up covert channel. This is because researchers have mainly focused on tailoring game theory for covert channel analysis, identification, and covert channel problem solving. Unlike typical adaptation of game theory to covert channel, we show that game theory can be utilized to establish a new type of covert channel in IoT devices. More specifically, we propose a covert channel that can be constructed by utilizing the Nash Equilibrium with sensor data collected from IoT devices. For covert channel construction, we set random seed to the value of sensor data and make payoff from random number created by running pseudo random number generator with the configured random seed. We generate I × J (I ≥ 2, J ≥ 2) matrix game with these generated payoffs and attempt to obtain the Nash Equilibrium. Covert channel construction method is distinctly determined in accordance with whether or not to acquire the Nash Equilibrium.

앵커 하중전이에 따른 사면의 안전율 비교 연구 (Comparison of Safety factor for an Anchored Slope in Accordance with the Effects of Load Transfer)

  • 김성규;김낙경;박종식;주용선;김태훈
    • 한국지반공학회논문집
    • /
    • 제24권11호
    • /
    • pp.55-60
    • /
    • 2008
  • 본 논문에서는 앵커로 보강된 사면에 대한 안정해석시 앵커의 하중전이 메커니즘이 사면의 전체 안전율에 어떻게 영향을 미치는지를 알아보았다. 사면안정해석 방법에는 한계평형해석범, 유한요소해석법 및 스프레드시트를 이용하는 방법이 있으며 각각의 방법을 통해 안전율을 산정하여 서로 비교하였다. 앵커로 보강된 사면의 안정해석을 위해 가장 널리 사용되고 있는 방법은 한계평형해석 법으로 사용이 간편하다는 특징을 가지고 있다. 그러나 한계평형해석방법에서는 사면의 파괴면이 정착장을 통과하거나 정착장 바깥쪽을 지날 때에는 사면의 전체 안전율에 아무런 영향을 주지 못 하기 때문에 실제보다 보수적인 설계가 이루어질 수 있다. 따라서 본 논문에서는 각각의 해석방법을 이용하여 앵커로 보강된 사면의 안정해석을 수행하고 안전율을 비교하였다.

Pulse Shaper를 이용한 SHPB 실험 응력파 제어 효과의 해석 및 실험적 검증 (Numerical and Experimental Verification of Stress Wave Control Effect in SHPB Experiment using Pulse Shaper)

  • 김용희;우민아;강범수;김정
    • 소성∙가공
    • /
    • 제26권5호
    • /
    • pp.314-322
    • /
    • 2017
  • In the high-speed forming analysis, dynamic material properties considering a high strain rate are required. The split Hopkinson pressure bar (SHPB) experiment was performed for measuring dynamic material properties under high strain rate. The pulse shaping method was used to improve the accuracy of the SHPB experiment. A pulse shaper attached to the front of the incident bar was used for specimen dynamic stress equilibrium through stress wave control. Numerical analysis and SHPB test were performed to verify whether the pulse shaper affects the dynamic stress equilibrium in copper and Al6061 specimens. The results of SHPB test and numerical analysis show that the pulse shaper contributes to the dynamic stress equilibrium. Based on the improved stress equilibrium using a pulse shaper, the flow stress curves for copper and Al6061 materials were obtained at strain rates of 1344.4/sec and 1291.6/sec, respectively.

하중전이를 고려한 앵커보강사면의 안정해석 (Stability Analysis of Anchored Slope Considering Load Transfer)

  • 김낙경;윤승권;김성규;주용선;박종식
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2009년도 춘계 학술발표회
    • /
    • pp.1113-1124
    • /
    • 2009
  • The limit equilibrium method and finite element method have been commonly used to assess the stability of anchored slope. However, the existing limit equilibrium methods do not consider the load transfer of anchor and, if the potential failure surface crosses the bonded zone of anchors, the anchor loads are not included in computing the factor of safety. In this paper, simplified bishop method, one among several methods based on the limit equilibrium is used to develope the Excel Sheet program and the working load of anchor along the failure surface is calculated by Flamant's formula, proposed by Morlier and Tenier(1982). Additionally, the finite element analysis of anchored slope considering the load transfer is performed in order to compare with the result from the limit equilibrium analysis and analyze the reinforced effect of anchor. From this study, new modelling method that limits the reinforcing range and considers the load transfer is proposed and Excel Sheet program is developed. The factor of safety for several cases between PC STABL and Excel Sheet program is also compared for verification of the program.

  • PDF

케로신 연료과잉 예연소기의 연소가스 물성치 예측 (Prediction of Burnt Gas Properties for Kerosene Fuel-rich Preburner)

  • 손민;서민교;구자예
    • 한국추진공학회:학술대회논문집
    • /
    • 한국추진공학회 2011년도 제37회 추계학술대회논문집
    • /
    • pp.123-126
    • /
    • 2011
  • 케로신을 연료로 사용하는 연료 과잉 예연소기는 비평형 연소반응을 하며, 화학평형 해석으로는 정확한 연소가스 물성치 예측이 쉽지 않다. 본 연구에서는 연소 가스 물성치 예측을 위해, 예혼합 대향류 화염 해석을 수행하였다. 케로신 연료의 대표 물성치로 JP10을 선정하였으며, UC San Diego 반응 메커니즘을 사용하여 초임계 조건에서 비평형 연소해석을 수행하였다. 안정적인 화염 확보를 위해 예혼합 추진제의 대향류 화염을 가정하였으며, Huzel의 실험 결과에 비해 온도가 높게 예측 되었다. 이에 따라 비열, 비열비, 분자량 결과에서 차이를 보였으나 화학평형 결과에 비해 실험값과 더 유사한 경향을 보였다.

  • PDF

비선형 내점법을 이용한 전력계통 평형점 최적화 (EOPT) (Power System Equilibrium Optimization (EOPT) with a Nonlinear Interior Point Method)

  • 송화창;호세 로델 도사노
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 A
    • /
    • pp.8-9
    • /
    • 2006
  • This paper presents a new methodology to calculate an optimal solution of equilibrium to power system differential algebraic equations. It employs a nonlinear interior point method for solving the optimization formulation, which includes dynamic equations representing two-axis synchronous generator models with AVR and speed governing control, algebraic equations, and steady-state nonlinear loads. Equilibrium optimization (EOPT) is useful for diverse purposes in power system analysis and control with consideration of the system frequency constraint.

  • PDF

MODIFIED SUBGRADIENT EXTRAGRADIENT ALGORITHM FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

  • Dang, Van Hieu
    • 대한수학회보
    • /
    • 제55권5호
    • /
    • pp.1503-1521
    • /
    • 2018
  • The paper introduces a modified subgradient extragradient method for solving equilibrium problems involving pseudomonotone and Lipschitz-type bifunctions in Hilbert spaces. Theorem of weak convergence is established under suitable conditions. Several experiments are implemented to illustrate the numerical behavior of the new algorithm and compare it with a well known extragradient method.

Roughening Transition of Crystals - Classical Thermodynamic Approach

  • Jo, Wook;Hwang, Nong-Moon;Kim, Doh-Yeon
    • 한국분말야금학회:학술대회논문집
    • /
    • 한국분말야금학회 2006년도 Extended Abstracts of 2006 POWDER METALLURGY World Congress Part 1
    • /
    • pp.60-61
    • /
    • 2006
  • In this contribution, we attempted a theoretical analysis on the validity of the widely-accepted idea that rough and singular surfaces can coexist in a crystal at equilibrium. By manipulating the Cahn and Hoffman capillarity vector, the conclusion that a crystal at equilibrium should be composed either of singular surfaces or of rough ones was reached.

  • PDF

THE SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING MONOTONE BILEVEL EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE

  • Roushanak Lotfikar;Gholamreza Zamani Eskandani;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
    • /
    • 제28권2호
    • /
    • pp.337-363
    • /
    • 2023
  • In this paper, we propose a new subgradient extragradient algorithm for finding a solution of monotone bilevel equilibrium problem in reflexive Banach spaces. The strong convergence of the algorithm is established under monotone assumptions of the cost bifunctions with Bregman Lipschitz-type continuous condition. Finally, a numerical experiments is reported to illustrate the efficiency of the proposed algorithm.