• Title/Summary/Keyword: approximation model

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NON-GREY RADIATIVE TRANSFER IN THE PHOTOSPHERIC CONVECTION : VALIDITY OF THE EDDINGTON APPROXIMATION

  • BACH, KIEHUNN
    • Journal of The Korean Astronomical Society
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    • v.49 no.1
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    • pp.1-8
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    • 2016
  • The aim of this study is to describe the physical processes taking place in the solar photosphere. Based on 3D hydrodynamic simulations including a detailed radiation transfer scheme, we investigate thermodynamic structures and radiation fields in solar surface convection. As a starting model, the initial stratification in the outer envelope calculated using the solar calibrations in the context of the standard stellar theory. When the numerical fluid becomes thermally relaxed, the thermodynamic structure of the steady-state turbulent flow was explicitly collected. Particularly, a non-grey radiative transfer incorporating the opacity distribution function was considered in our calculations. In addition, we evaluate the classical approximations that are usually adopted in the onedimensional stellar structure models. We numerically reconfirm that radiation fields are well represented by the asymptotic characteristics of the Eddington approximation (the diffusion limit and the streaming limit). However, this classical approximation underestimates radiation energy in the shallow layers near the surface, which implies that a reliable treatment of the non-grey line opacities is crucial for the accurate description of the photospheric convection phenomenon.

Statically compensated modal approximation of a class of distributed parameters systems

  • Imai, Jun;Wada, Kiyoshi;Sagara, Setsuo
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.416-419
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    • 1995
  • A finite-dimensional approximation technique is developed for a class of spectral systems with input and output operators which are unbounded. A corresponding bounding technique on the frequency-response error is also established for control system design. Our goal is to construct an uncertainty model including a nominal plant and its error bounds so that the results from robust linear control theory can be applied to guarantee a closed loop control performance. We demonstrate by numerical example that these techniques are applicable, with a modest computational burden, to a wide class of distributed parameter system plants.

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A diffusion approximation for time-dependent queue size distribution for M/G/m/N system

  • Park, Bong-Dae;Shin, Yang-Woo
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.211-236
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    • 1995
  • The purpose of this paper is to provide a transient diffusion approximation of queue size distribution for M/G/m/N system. The M/G/m/N system can be expressed as follows. The interarrival times of customers are exponential and the service times of customers have general distribution. The system can hold at most a total of N customers (including the customers in service) and any further arriving customers will be refused entry to the system and will depart immediately without service. The queueing system with finite capacity is more practical model than queueing system with infinite capacity. For example, in the design of a computer system one of the important problems is how much capacity is required for a buffer memory. It its capacity is too little, then overflow of customers (jobs) occurs frequently in heavy traffic and the performance of system deteriorates rapidly. On the other hand, if its capacity is too large, then most buffer memories remain unused.

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NUMERICAL APPROXIMATION OF VEHICLE JOINT STIFFNESS BY USING RESPONSE SURFACE METHOD

  • Lee, S.B.;Park, J.R.;Yim, H.J.
    • International Journal of Automotive Technology
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    • v.3 no.3
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    • pp.117-122
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    • 2002
  • Joint stiffness can affect the vibration characteristics of car body structures. Therefore, it should be included in vehicle system model. In this paper, a numerical approximation of joint stiffness is presented considering joint flexibility of thin walled beam-jointed structures. Using the proposed method, it is possible to optimize joint structures considering the change of section shapes in vehicle structures. The numerical approximation of joint stiffness is derived using the response surface method in terms of beam section properties. The study shows that joint stiffnesses can be effectively determined in designing vehicle structures.

PWF-GPH method for the statistical analysis of failure time data (고장시간 자료의 통계적 분석을 위한 PWF-GPH 방법)

  • 김선영;윤복식
    • Journal of the military operations research society of Korea
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    • v.22 no.1
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    • pp.114-128
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    • 1996
  • In this paper, a life distribution fitting method based on generalized phase-type distributions(GPH) is presented. By fitting the life distribution to a GPH, we can utilize various useful properties of the GPH. Two different approaches are used according to the properties of the given failure time data. One is an approximation to a GPH through the piecewise Weibull failure rate(PWF) model and the other is a direct approximation to a GPH using the empirical distribution function. Two numerical examples are also presented. In the first example, both of the two approaches are utilized and compared for an incomplete data set. And in the second example, the direct approximation method from an empirical distribution is utilized for the analysis of a complete data set. In both cases, we could confirm the validity of the proposed method.

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Credit-Assigned-CMAC-based Reinforcement Learn ing with Application to the Acrobot Swing Up Control Problem (Acrobot Swing Up Control을 위한 Credit-Assigned-CMAC-based 강화학습)

  • 장시영;신연용;서승환;서일홍
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.7
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    • pp.517-524
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    • 2004
  • For real world applications of reinforcement learning techniques, function approximation or generalization will be required to avoid curse of dimensionality. For this, an improved function approximation-based reinforcement teaming method is proposed to speed up convergence by using CA-CMAC(Credit-Assigned Cerebellar Model Articulation Controller). To show that our proposed CACRL(CA-CMAC-based Reinforcement Learning) performs better than the CRL(CMAC- based Reinforcement Learning), computer simulation and experiment results are illustrated, where a swing-up control Problem of an acrobot is considered.

3D Shape Reconstruction of Cross-sectional Images using Image Processing Technology and B-spline Approximation (영상 처리 기법과 B-spline 근사화를 이용한 단면영상의 3차원 재구성)

  • 임오강;이진식;김종구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.93-100
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    • 2001
  • The three dimensional(3D) reconstruction from two dimensional(2D) image data is using in many fields such as RPD(Rapid Product Development) and reverse engineering. In this paper, the main step of 3D reconstruction is comprised of two steps : image processing step and B-spline surface approximation step. In the image processing step, feature points of each cross-section are obtained by means of several image processing technologies. In the B-spline surface approximation step, using the data of feature points obtained in the image processing step, the control points of B-spline surface are obtained, which are used for IGES file of 3D CAD model.

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Order Based Performance Evaluation of a CONWIP System with Compound Poisson Demands (복합포아송 수요를 가지는 CONWIP 시스템에서 고객집단의 성능평가)

  • Park Chan-U;Lee Hyo-Seong
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.10a
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    • pp.8-12
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    • 2004
  • In this study we consider a CONWIP system in which the processing times at each station follow a Coxian distribution and the demands for the finished products arrive according to a compound Poisson process. The demands that are not satisfied are backordered according to the number of demands that exist at their arrival instants. For this system we develop an approximation method to calculate order based performance measures such as the mean time of fulfilling a customer order and the mean number o: customer orders. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product form approximation method. Numerical tests show that the approximation method provides fairly good estimation of the performance measures of interest.

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A Bayesian Approach to Linear Calibration Design Problem

  • Kim, Sung-Chul
    • Journal of the Korean Operations Research and Management Science Society
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    • v.20 no.3
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    • pp.105-122
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    • 1995
  • Based on linear models, the inference about the true measurement x$_{f}$ and the optimal designs x (nx1) for the calibration experiments are considered via Baysian statistical decision analysis. The posterior distribution of x$_{f}$ given the observation y$_{f}$ (qxl) and the calibration experiment is obtained with normal priors for x$_{f}$ and for themodel parameters (.alpha., .betha.). This posterior distribution is not in the form of any known distributions, which leads to the use of a numerical integration or an approximation for the calculation of the overall expected loss. The general structure of the expected loss function is characterized in the form of a conjecture. A near-optimal design is obtained through the approximation nof the conditional covariance matrix of the joint distribution of (x$_{f}$ , y$_{f}$ $^{T}$ )$^{T}$ . Numerical results for the univariate case are given to demonstrate the conjecture and to evaluate the approximation.n.

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An Initialization of Active Contour Models(Snakes) using Convex Hull Approximation

  • Kwak, Young-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.753-762
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    • 2006
  • The Snakes and GVF used to find object edges dynamically have assigned their initial contour arbitrarily. If the initial contours are located in the neighboring regions of object edges, Snakes and GVF can be close to the true boundary. If not, these will likely to converge to the wrong result. Therefore, this paper proposes a new initialization of Snakes and GVF using convex hull approximation, which initializes the vertex of Snakes and GVF as a convex polygonal contour near object edges. In simulation result, we show that the proposed algorithm has a faster convergence to object edges than the existing methods. Our algorithm also has the advantage of extracting whole edges in real images.

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