• 제목/요약/키워드: non-Markovian

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Markovian 간섭 신호하에서의 Stop-­and-­Wait ARQ Protocol의 성능 분석 (Analysis of Stop-and-Wait ARQ Protocol under Markovian interruption)

  • 김성일;신병철
    • 한국정보통신학회논문지
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    • 제7권8호
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    • pp.1674-1683
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    • 2003
  • Markovian 신호의 간섭(interruption)하에서 Stop­-and-­Wait ARQ protocol을 적용한 패킷 데이터 다중화기의 성능을 분석한다. 시스템 모델을 살펴보면 입력 프로세스는 Poisson 프로세스로, 출력 채널은 연속되는 시간 슬롯(slot)으로 분할되고 데이터 패킷은 이 슬롯 시간 동안에 전송된다. 이 시스템에서, 프레임 시간은 왕복 지연 시간으로 정의되었다. 이 모델에서 출력 채널은 Markovian 간섭에 의해 데이타 전송이 중단되는 blocking state와 간섭이 없는 non-­blocking state로 구분된다. Markovian 간섭신호를 고려하면서, 2개의 연속적인 프레임이나 slot사이에 버퍼 상태에 관한 관계식을 고려하여 전체적인 시스템이 분석되었다. 분석된 자료 값이 시뮬레이션과 비교적 잘 일치함을 확인하였다.

A NON-MARKOVIAN EVOLUTION MODEL OF HIV POPULATION WITH BUNCHING BEHAVIOUR

  • Sridharan, V.;Jayshree, P.R.
    • Journal of applied mathematics & informatics
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    • 제5권3호
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    • pp.785-796
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    • 1998
  • In this paper we propose a model of HIv population through method of phases with non-Markovian evolution of immi-gration. The analysis leads to an explicit differnetial equations for the generating functions of the total population size. The detection process of antibodies (against the antigen of virus) is analysed and an explicit expression for the correlation functions are provided. A measure of bunching is also introduced for some particular choice of parameters.

시간지연을 갖는 네트워크 제어 시스템의 지능형 제어기 설계 (Intelligent Controller for Networked Control Systems with Time-delay)

  • 배기선;주영훈
    • 제어로봇시스템학회논문지
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    • 제17권2호
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    • pp.139-144
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    • 2011
  • We consider the stabilization problem for a class of networked control systems with random delays in the discrete-time domain. The controller-to-actuator and sensor-to-controller time-delays are modeled as two Markov chains, and the resulting closed-loop systems are Markovian jump nonlinear systems with two modes. The T-S (Takagi-Sugeno) fuzzy model is employed to represent a nonlinear system with Markovian jump parameters. The aim is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. The necessary and sufficient conditions on the existence of stabilizing fuzzy controllers are established in terms of LMIs (Linear Matrix Inequalities). It is shown that fuzzy controller gains are mode-dependent. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.

Multistep Quantum Master Equation Theory for Response Functions in Four Wave Mixing Electronic Spectroscopy of Multichromophoric Macromolecules

  • Jang, Seog-Joo
    • Bulletin of the Korean Chemical Society
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    • 제33권3호
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    • pp.997-1008
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    • 2012
  • This work provides an alternative derivation of third order response functions in four wave mixing spectroscopy of multichromophoric macromolecular systems considering only single exciton states. For the case of harmonic oscillator bath linearly and diagonally coupled to exciton states, closed form expressions showing all the explicit time dependences are derived. These expressions can provide more solid physical basis for understanding 2-dimensional electronic spectroscopy signals. For more general cases of system-bath coupling, the quantum master equation (QME) approach is employed for the derivation of multistep time evolution equations for Green function-like operators. Solution of these equations is feasible at the level of 2nd order non-Markovian QME, and the new approach can account for inter-exciton coupling, dephasing, relaxation, and non-Markovian effects in a consistent manner.

Optical Properties of a ZnO-MgZnO Quantum-Well

  • Ahn, Do-Yeol;Park, Seoung-Hwan
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제6권3호
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    • pp.125-130
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    • 2006
  • The optical gain and the luminescence of a ZnO quantum well with MgZnO barriers is studied theoretically. We calculated the non-Markovian optical gain and the luminescence for the strained-layer wurtzite quantum well taking into account of the excitonic effects. It is predicted that both optical gain and luminescence are enhanced for the ZnO quantum well when compared with those of InGaN-AlGaN quantum well structure due to the significant reduction of the piezoelectric effects in the ZnO-MgZnO systems.

The theory of non-Markovian optical gain in excited semiconductors

  • Ahn, Doyeol
    • 한국광학회:학술대회논문집
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    • 한국광학회 1995년도 광학 및 양자전자학 워크샵 논문집
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    • pp.138-148
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    • 1995
  • A reduced description of the dynamics of carriers in excited semiconductors is presented. Fristly, a time-convolutionless equation of motion for the reduced density operator is derved from the microscopic Liouville wquation operator method. Secondly, the quantum kinetic equations for intercting electron-hole parirs near band-edge in semiconductors under an extermal optical field are obtained from the equation of motion for the reduced density operator. The non-Markovian optical gain of a driven semiconductor is derived including the many-body effects. plasma screening and excitinic effects are taken into account using as effective Hamiltonian in the time-dependent Hartree-Fock approximation. it is shown that the line shape of optical-gain spectra gain is enhanced by the exicitonic effects caused by the attrative electron-hole Coulomb interaction and the interference effects (renormalized memory effects) between the extermal driving filed and the intermal driving Filed and the stochastic reservoir of the system.

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Fractional radioactive decay law and Bateman equations

  • Cruz-Lopez, C.A.;Espinosa-Paredes, G.
    • Nuclear Engineering and Technology
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    • 제54권1호
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    • pp.275-282
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    • 2022
  • The aim of this work is to develop the fractional Bateman equations, which can model memory effects in successive isotopes transformations. Such memory effects have been previously reported in the alpha decay, which exhibits a non-Markovian behavior. Since there are radioactive decay series with consecutive alpha decays, it is convenient to include the mentioned memory effects, developing the fractional Bateman Equations, which can reproduce the standard ones when the fractional order is equal to one. The proposed fractional model preserves the mathematical shape and the symmetry of the standard equations, being the only difference the presence of the Mittag-Leffler function, instead of the exponential one. This last is a very important result, because allows the implementation of the proposed fractional model in burnup and activation codes in a straightforward way. Numerical experiments show that the proposed equations predict high decay rates for small time values, in comparison with the standard equations, which have high decay rates for large times. This work represents a novelty approach to the theory of successive transformations, and opens the possibility to study properties of the Bateman equation from a fractional approach.

No Arbitrage Condition for Multi-Facor HJM Model under the Fractional Brownian Motion

  • Rhee, Joon-Hee;Kim, Yoon-Tae
    • Communications for Statistical Applications and Methods
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    • 제16권4호
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    • pp.639-645
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    • 2009
  • Fractional Brwonian motion(fBm) has properties of behaving tails and exhibiting long memory while remaining Gaussian. In particular, it is well known that interest rates show some long memories and non-Markovian. We present no aribitrage condition for HJM model under the multi-factor fBm reflecting the long range dependence in the interest rate model.

Dynamics of Pore Growth in Membranes and Membrane Stability

  • W. Sung;Park, P. J.
    • 한국생물물리학회:학술대회논문집
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    • 한국생물물리학회 1998년도 학술발표회
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    • pp.15-15
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    • 1998
  • Pores can form and grow in biomembranes because of factors such as thermal fluctuation, transmembrane electrical potential, and cellular environment. We propose a new statistical physics model of the pore growth treated as a non-Markovian stochastic process, with a free energy barrier and memory friction from the membrane matrix treated as a quasi-two-dimensional viscoelastic and dielectric fluid continuum.(omitted)

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멀티 서비스 무선 인지 망을 위한 마르코프 큐잉모델을 이용한 호 수락 제어 (A Call Admission Control Using Markovian Queueing Model for Multi-services Cognitive Radio Networks)

  • 이진이
    • 한국항행학회논문지
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    • 제18권4호
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    • pp.347-352
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    • 2014
  • 본 논문에서는 멀티 서비스 무선 인지 망에서 2 차 사용자의 비 실시간 호의 강제 종료율을 줄이기 위한 마르코프 큐잉모델(M/M/1)을 기반으로 하는 호 수락제어를 제안한다. 멀티 서비스 무선 인지 망에서 2 차 사용자 호를 제어하는 기존의 방법에서는 가용 스펙트럼 홀을 실시간 사용자에게 우선 할당함으로써 비실시간 사용자 호의 강제 종료율이 증가하게 된다. 이를 해결하기 위해 제안된 기법은 비실시간 호의 서비스 품질 특성을 고려하여 가용채널이 생길 때까지 큐잉 시스템에서 대기한 후, 서비스를 지속하게 하여 강제 종료율을 줄인다. 1 차 사용자의 재출현은 신경망 기법으로 예측한다. 시뮬레이션을 통하여 2 차 사용자 호의 강제 종료율, 지연특성, 스펙트럼 사용효율을 분석하고, 기존의 방법과 비교하여 비실시간 호의 강제 종료율을 줄일 수 있음을 보인다.