• Title/Summary/Keyword: approximation model

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Frequency weighted reduction using Lyapunov inequalities (Lyapunov 부등식을 이용한 주파수하중 차수축소)

  • 오도창;정은태;이상경
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.12-12
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    • 2000
  • This paper consider a new weighted model reduction using block diagonal solutions of Lyapunov inequalities. With the input and/or output weighting function, the stability of reduced order system is quaranteed and a priori error bound is proposed. to achieve this, after finding the solutions of two Lyapunov inequalities and balancing the full order system, we find the reduced order systems using the direct truncation and the singular perturbation approximation. The proposed method is compared with other existing methods using numerical example.

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Model and Algorithm for Link Dimensioning of B-ISDN (광대역통신망의 링크용량 설계 모형 및 알고리듬)

  • 주종혁
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.51
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    • pp.99-108
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    • 1999
  • B-ISDN link dimensioning is often known as a difficult problem because of the characteristics of Asynchronous Transfer Mode(ATM) such as various Quality of Services of different service requirements, and the statistical multiplexing resulting from virtual path/virtual circuit connections. In this paper, we propose a nonlinear integer optimization model for dimensioning B-ISDN considering the statistical multiplexing effects of virtual path connections(VPCs) and the modularity of resources allocated to a transmission link. The algorithm based on the simultaneous linear approximation technique as well as some numerical results will be also presented.

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A Model of Sunspots with a Magnetic Monopole-like Field Configuration

  • Yun, Hong-Sik
    • Journal of The Korean Astronomical Society
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    • v.6 no.1
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    • pp.15-17
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    • 1973
  • Observational implication for a possible presence of a magnetic monopole-like field in the visible layers of sunspots is examined by constructing a magnetostatic model of sunspots with a monopole-like field configuration. The resulting monopole approximation for a magnetic structure of spots is found to be compatible with the observations within a certain limited range of optical depth, which happens to lie mostly in its visible range.

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Predicting Nuclear Power Plant Accidents in Korea (국내 원자력발전소 사고 예측)

  • Yang, Hee-Joong
    • IE interfaces
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    • v.6 no.2
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    • pp.79-89
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    • 1993
  • We develop a statistical model to describe nuclear power plant accidents and predict time to next accident of various levels. We adopt Bayesian approach to obtain posterior and predictive distributions for the time to next accident. We also derive an approximation method to solve many dimensional numerical integration problems that we often encounter in a Bayesian approach. We introduce Influence Diagrams in modeling, and parameter updating, thereby the dependency or independency among model parameters are clearly shown. Also Separable Updating Theorem is utilized to easily obtain the posterior distributions.

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Reaction process in electrochromism of tungsten oxide thin films

  • An, Il-Sin;Lee, Chang-Hyo;Lim, Won-Taeg
    • Journal of Korean Vacuum Science & Technology
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    • v.2 no.2
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    • pp.85-91
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    • 1998
  • The electrochromic behaviors of de-magnetron sputtered tungsten oxide thin films were investigated during coloration and bleach cycles using in situ real-time spectroscopic ellipsometry. Effective medium approximation and least-squares regression analyses were employed to investigate the electrochromic process. The optical properties of the tungsten oxide film were analyzed using the oscillator model and the evolution of the process using a reaction-limited model. In these analyses, we found that two different reaction rates were associated with the process. We ascribe this behavior to the microstructure of this films.

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On the Exact Cycle Time of Failure Prone Multiserver Queueing Model Operating in Low Loading (낮은 교통밀도 하에서 서버 고장을 고려한 복수 서버 대기행렬 모형의 체제시간에 대한 분석)

  • Kim, Woo-Sung;Lim, Dae-Eun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.39 no.2
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    • pp.1-10
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    • 2016
  • In this paper, we present a new way to derive the mean cycle time of the G/G/m failure prone queue when the loading of the system approaches to zero. The loading is the relative ratio of the arrival rate to the service rate multiplied by the number of servers. The system with low loading means the busy fraction of the system is low. The queueing system with low loading can be found in the semiconductor manufacturing process. Cluster tools in semiconductor manufacturing need a setup whenever the types of two successive lots are different. To setup a cluster tool, all wafers of preceding lot should be removed. Then, the waiting time of the next lot is zero excluding the setup time. This kind of situation can be regarded as the system with low loading. By employing absorbing Markov chain model and renewal theory, we propose a new way to derive the exact mean cycle time. In addition, using the proposed method, we present the cycle times of other types of queueing systems. For a queueing model with phase type service time distribution, we can obtain a two dimensional Markov chain model, which leads us to calculate the exact cycle time. The results also can be applied to a queueing model with batch arrivals. Our results can be employed to test the accuracy of existing or newly developed approximation methods. Furthermore, we provide intuitive interpretations to the results regarding the expected waiting time. The intuitive interpretations can be used to understand logically the characteristics of systems with low loading.

Comparison Study on Low Energy Physics Model of GEANT4 (GEANT4 저 에너지 전자기 물리 모델에 대한 비교 연구)

  • Park, So-Hyun;Jung, Won-Gyun;Suh, Tae-Suk
    • Journal of Radiation Protection and Research
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    • v.35 no.3
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    • pp.124-134
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    • 2010
  • The Geant4 simulation toolkit provides improved or renewed physics model according to the version. The latest Geant4.9.3 which has been recoded by developers applies inserted Livermore data and renewed physics model to the low energy electromagnetic physics model. And also, Geant4.9.3 improved the physics factors by modified code. In this study, the stopping power and CSDA(Continuously Slowing Down Approximation) range data of electron or particles were acquired in various material and then, these data were compared with NIST(National Institute of Standards and Technology) data. Through comparison between data of Geant4 simulation and NIST, the improvement of physics model on low energy electromagnetic of Geant4.9.3 was evaluated by comparing the Geant4.9.2.

Determining on Model-based Clusters of Time Series Data (시계열데이터의 모델기반 클러스터 결정)

  • Jeon, Jin-Ho;Lee, Gye-Sung
    • The Journal of the Korea Contents Association
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    • v.7 no.6
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    • pp.22-30
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    • 2007
  • Most real word systems such as world economy, stock market, and medical applications, contain a series of dynamic and complex phenomena. One of common methods to understand these systems is to build a model and analyze the behavior of the system. In this paper, we investigated methods for best clustering over time series data. As a first step for clustering, BIC (Bayesian Information Criterion) approximation is used to determine the number of clusters. A search technique to improve clustering efficiency is also suggested by analyzing the relationship between data size and BIC values. For clustering, two methods, model-based and similarity based methods, are analyzed and compared. A number of experiments have been performed to check its validity using real data(stock price). BIC approximation measure has been confirmed that it suggests best number of clusters through experiments provided that the number of data is relatively large. It is also confirmed that the model-based clustering produces more reliable clustering than similarity based ones.

Direct and Indirect Robust Adaptive Fuzzy Controllers for a Class of Nonlinear Systems

  • Essounbouli Najib;Hamzaoui Abdelaziz
    • International Journal of Control, Automation, and Systems
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    • v.4 no.2
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    • pp.146-154
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    • 2006
  • In this paper, we propose direct and indirect adaptive fuzzy sliding mode control approaches for a class of nonaffine nonlinear systems. In the direct case, we use the implicit function theory to prove the existence of an ideal implicit feedback linearization controller, and hence approximate it to attain the desired performances. In the indirect case, we exploit the linear structure of a Takagi-Sugeno fuzzy system with constant conclusion to establish an affine-in-control model, and therefore design an indirect adaptive fuzzy controller. In both cases, the adaptation laws of the adjustable parameters are deduced from the stability analysis, in the sense of Lyapunov, to get a more accurate approximation level. In addition to their robustness, the design of the proposed approaches does not require the upper bounds of both external disturbances and approximation errors. To show the efficiency of the proposed controllers, a simulation example is presented.

Electrical Repulsive Energy between Two Cylindrical Particles with Finite Length: Configuration Dependence

  • Choi, Ju-Young;Dong, Hyun-Bae;Haam, Seung-Joo;Lee, Sang-Yup
    • Bulletin of the Korean Chemical Society
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    • v.29 no.6
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    • pp.1131-1136
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    • 2008
  • The electrical repulsive energy between two model cylinders was calculated by solving nonlinear Poission- Boltzmann (P-B) equation under Derjaguin approximation. Effects of the surface potential, Debye screening length, and configuration of cylinders on the repulsive interaction energy were examined. Due to the anisotropy of the shape of cylinder, the interaction repulsive energy showed dependence to the configuration of particles; cylinders aligned in end-to-end configuration showed largest repulsive energy and crossed particles had lowest interaction energy. The configuration effect is originated from the curvature effect of the interacting surfaces. The curved surfaces showed less repulsive energy than flat surfaces at the same interacting surface area. The configuration dependency of interaction energy agreed with the previous analytical solution obtained under the linearized P-B equation. The approach and results present in this report would be applicable in predicting colloidal behavior of cylindrical particles.