• Title/Summary/Keyword: Matrix-Analytic Method

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Improvement of Accuracy for Least Square Estimator Combining Analytic Solution - Application to Reactor Protection System (해석적 자료를 이용한 최소자승 추정법의 성능 개선 - 원자로보호계통에의 응용 -)

  • 최유선;박문규;차균호;이창섭
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 2000.11a
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    • pp.111-114
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    • 2000
  • 본 논문은 선형모델의 모델 계수의 결정방법으로 사용되는 최소자승법 (Least Squares Method, LSM)의 단점을 해결하기 위해 해석적으로 계산된 자료를 함께 적용하는 방법과 원자로의 출력분포 측정을 위한 SAM (Shape Annealing Matrix) 결정에 적용한 결과를 기술하고 있다. 해석적 자료를 함께 적용할 경우 연료 연소에 따른 원자로 특성변화를 적절히 반영하여 LSM 추정치의 정확도를 크게 개선할 수 있음을 확인하였다.

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Double K-Means Clustering (이중 K-평균 군집화)

  • 허명회
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.343-352
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    • 2000
  • In this study. the author proposes a nonhierarchical clustering method. called the "Double K-Means Clustering", which performs clustering of multivariate observations with the following algorithm: Step I: Carry out the ordinary K-means clmitering and obtain k temporary clusters with sizes $n_1$,... , $n_k$, centroids $c_$1,..., $c_k$ and pooled covariance matrix S. $\bullet$ Step II-I: Allocate the observation x, to the cluster F if it satisfies ..... where N is the total number of observations, for -i = 1, . ,N. $\bullet$ Step II-2: Update cluster sizes $n_1$,... , $n_k$, centroids $c_$1,..., $c_k$ and pooled covariance matrix S. $\bullet$ Step II-3: Repeat Steps II-I and II-2 until the change becomes negligible. The double K-means clustering is nearly "optimal" under the mixture of k multivariate normal distributions with the common covariance matrix. Also, it is nearly affine invariant, with the data-analytic implication that variable standardizations are not that required. The method is numerically demonstrated on Fisher's iris data.

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Ultimate Strength Analysis of Framed Structures Using Idealized Structural Unit Method (이상화구조요소법에 의한 골조구조물의 최종강도해석에 관한 연구)

  • 백점기;임화규
    • Computational Structural Engineering
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    • v.4 no.1
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    • pp.83-94
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    • 1991
  • This paper presents an efficient and accurate method for nonlinear analysis of frame structures by idealized structural unit method. The main idea behind the present method is to minimize the computational effort by reducing the number of unknowns. An explicit form of the tangential elastic stiffness matrix of the element is derived by the principle of virtual work. The ultimate limit state of the element is judged on the basis of the formation of a plastic hinge mechanism. The elasto-plasto-plastic stiffness matrix of the element is derived by plastic node method and the post-ultimate stiffness equation is formulated under a simple analytic consideration. A comparison between the present solution and the existing experimental and other numerical result for unit column member and simple frame structure is made. If is clear from the result of this study that the present method is very useful because the computing time required is very small while giving the accurate solution.

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Mathematical Adjoint Solution to Analytic Function Expansion Nodal (AFEN) Method (해석함수전개 노달방법의 수학적 수반해)

  • Cho, Nam-Zin;Hong, Ser-Gi
    • Nuclear Engineering and Technology
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    • v.27 no.3
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    • pp.374-384
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    • 1995
  • The mathematical adjoint solution of the Analytic Function Expansion (AFEN) method is found by solving the transposed matrix equation of AFEN nodal equation with only minor modification to the forward solution code AFEN. The perturbation calculations are then performed to estimate the change of reactivity by using the mathematical adjoint The adjoint calculational scheme in this study does not require the knowledge of the physical adjoint or the eigenvalue of the forward equation. Using the adjoint solutions, the exact and first-order perturbation calculations are peformed for the well-known benchmark problems (i.e., IAEA-2D benchmark problem and EPRI-9R benchmark problem). The results show that the mathematical adjoint flux calculated in the code is the correct adjoint solution of the AFEN method.

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the Combination of Wavelet with Boundary Element Method for the Efficient Solution of Maxwell's Equations (Maxwell 방정식의 효율적인 풀이를 위한 경계요소법과 웨이브렛의 결합)

  • Kim, Hyun-Jun;Lee, Seung-Gol;O, Beom-Hoan;Lee, El-Hang
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.39 no.6
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    • pp.24-35
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    • 2002
  • The wavelet transform is combined with the boundary element method (BEM), to solve efficiently the Maxwell's equation and the proposed method is applied to the electromagnetic problem for the analysis of topological effects of phase-shifting masks. The accuracy of the module developed was verified by comparison with both analytic solutions and published results. In addition, it was found that the boundary element method in combination with the wavelet matrix transform would be more efficient than the conventional methods based on the BEM in views of the calculation speed and the usage of computer memory.

Analysis of a Queueing Model with Time Phased Arrivals

  • Kim, Che-Soong
    • Journal of Korea Society of Industrial Information Systems
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    • v.12 no.4
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    • pp.107-118
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    • 2007
  • A single-server queueing model with infinite buffer and batch arrival of customers is considered. In contrast to the standard batch arrival when a whole batch arrives into the system at one epoch, we assume that the customers of an accepted batch arrive one-by one in exponentially distributed times. Service time is exponentially distributed. Flow of batches is the stationary Poisson arrival process. Batch size distribution is geometric. The number of batches, which can be admitted into the system simultaneously, is subject of control. Analysis of the joint distribution of the number batches and customers in the system and sojourn time distribution is implemented by means of the matrix technique and method of catastrophes. Effect of control on the main performance measures of the system is demonstrated numerically.

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Realization of acoustic scattering holography (산란 음향 홀로그래피의 구현 방법론)

  • 이상협;김양한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.640-644
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    • 2003
  • There are many difficulties to get the scattered field generated by obstacle which has arbitrary shape or irregular surface impedance by using analytic solution or numerical methods. In this study, we propose experimental method of acoustic scattering holography that can predict the far-field scattered field based on nearfield measurements. In particular we can get the scattered fields of each wave-number components of incident fields. We express the relationship of wave-number components between incident fields and scattered fields using scattering matrix which is transfer matrix of wave-number components. Lastly, we prove the relation between wave-number components of incident and scattered field by experiments. The errors which are caused by measurements and decomposition methods are also analyzed.

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Magnetic Field Computations of the Magnetic Circuits with Permanent Magnets by Infinite Element Method (무한요소법을 이용한 영구자석 자기회로의 자장해석)

  • 한송엽;정현규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.10
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    • pp.379-383
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    • 1985
  • A method employing infinite elements is described for the magnetic field computations of the magnetic circuits with permanent magnet. The system stiffness matrix is derived by a variational approach, while the interfacial boundary conditions between the finite element regions and the infinite element regions are dealt with using collocation method. The proposed method is applied to a simple linear problems, and the numerical results are compared with those of the standard finite element method and the analytic solutions. It is observed that the proposed method gives more accurate results than those of the standard finite element method under the same computing efforts.

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The Loss Experience in Women with Hysterectomy (자궁절제술을 받은 여성의 상실경험)

  • 성미혜
    • Journal of Korean Academy of Nursing
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    • v.27 no.1
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    • pp.128-140
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    • 1997
  • When women are removed with their matrix which is a emotionally significant organ of symbol in psychologically adapting themselves to mother and woman, that is threatened and injured with woman role decisively. This study tried to find the efficient nursing intervention method to maintain and promote their health, to cope with health problem, and to inquire into the loss experience of women with hysterectomy by using the phenomenological method. The analysis of the data was made through the phenomenological analytic method suggested by Giorgi. The result of the study was as follows : The factors which have influence on the loss experience of the subjects are an offer of information, support system, age, occupation, economic situation, family history, character, season, the existence of ovary and religion. The loss experience of matrix was expressed in lingual, reactions to the loss of function, sex, body change and husband, in behavioral behaviors in emotion and body. The loss of matrix of the subjects was relived by religion. perineorrhapy, exercise, reading, watching video and diet. The subjects each showed ways of reaction of fatalism, giving-up, coping on the loss experience of matrix. In conclusion, since we ascertained that the nursing in the process of recovery decide the quality of life. though women with hysterectomy undergo various loss experience and adapt to it in the end, it is necessary to give them enough information and educate husband, having on important effect on the loss experience, to be a good supporter, And technically skilled nurses of consultant are thought to be able to contrive better qualitative life of women with hysterectomy as an important bridge between the subjects and their required information, since the nurses have their well-formed position of relationship of confidence through continuous contact with patients and their family.

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Approach for Evaluating the Nash Equilibrium of Cournot Game Model for N-Gencos by Using Payoff Matrix in Wholesale Electricity Market (도매전력시장에서 N-발전사업자의 보수행렬을 이용한 꾸르노 모델의 내쉬균형점 도출을 위한 방법론)

  • Park Jong-Bae;Lim Jung-Youl;Lee Ki-Song;Shin Joong-Rin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.2
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    • pp.97-106
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    • 2005
  • This paper presents a method for evaluating the nash equilibrium of the Cournot model for N-Gencos in wholesale electricity market. In wholesale electricity market, the strategies of N-Gencos can be applied to the game model under the conditions, which the Gencos determine their strategies to maximize their benefit. Generally, the Lemke algorithm has known as the approach to evaluate the mixed nash equilibrium in the only two-player game model. In this paper, we have developed the necessary condition for obtaining the mixed nash equilibrium of N-player by using the Lemke algorithms. However, it is difficult to find the mixed nash equilibrium of two more players by using the analytic method since those have the nonlinear characteristics. To overcome the above problem, we have formulated the object function satisfied with the proposed necessary conditions for N-player nash equilibrium and applied the modified particle swarm optimization (PSO) method to obtain the equilibrium for N-player. To present the effectiveness the proposed necessary condition and the evaluation approach, this paper has shown the results of equilibrium of sample system and the cournot game model for 3-players.