• Title/Summary/Keyword: Mathematical Modeling

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Analysis of Nonlinear Dynamics in Family Model (가족 관계에서의 비선형 거동 해석)

  • Huang, Lyniun;Bae, Young-Chul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.4
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    • pp.313-318
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    • 2015
  • Recently, it is emphasized importance of family. The new husband and wife are created by caused marriage, they organize new family including wife's home and husband's home. As a result, they conflict or accomplish peace with new family. Such a researchers mainly have been studied in the social science side. Because there is no mathematical modeling which is one of the natural science, for family relationship, it is not provide to reveal the behavioral phenomena between families fundamentally. In this paper, one of the nonlinear research for social subject, we modify love model of Romeo and Juliet. Then we propose novel family relationship model for parent-in-law and daughter (or son)-in-law relation. We also confirm chaotic behavior or nonlinear behavior by time series and phase portrait.

Modeling Bacteria Facilitated Contaminant Transport in Porous Media with Kinetic Adsorption Relationships (동역학적 흡착 관계식을 이용한 다공 매질에서의 유동세균에 의한 유기성 오염물의 가속이송 예측 모델)

  • 김승현
    • Journal of the Korean Society of Groundwater Environment
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    • v.2 no.1
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    • pp.22-29
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    • 1995
  • Mobile bacterial particles can act as carriers and enhance the transport of hydrophobic contaminants in ground water by reducing retardation effects. Because of their colloidal size and favorable surface conditions, bacteria can act as efficient contaminant carriers. When such carriers exist in a porous medium, the system can be thought of as three phases: an aqueous phase, a carrier phase, and a stationary solid matrix phase. Contaminant can be present in either or all of these phases. In this study, a mathematical model based on mass balances is developed to describe the transport and fate of biodegradable contaminant in a porous medium. Bacterial mass transfer mechanism between aqueous and solid matrix phases, and contaminant mass transfer between aqueous and bacterial phases are represented by kinetic models. Governing equations are non-dimensionalized and solved to analyze the bacteria facilitated contaminant transport. The numerical results of the facilitation effect match favorably with experimental data reported in the literature. Results show that the contaminant transport can be described by local equilibrium assumption when Damkohler numbers are larger than 10. Significant sensitivities to model parameters, particularly bacterial growth rate and influent bacterial concentration, were discovered.

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Modeling Bacteria Facilitated Contaminant Transport in Porous Media with Equilibrium Adsorption Relationships (평형 모델을 이용한 다공매질에서의 유동 세균에 의한 유기성 오염물의 가속이송)

  • 신항식;김승현
    • Journal of the Korean Society of Groundwater Environment
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    • v.2 no.1
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    • pp.14-21
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    • 1995
  • Colloids such as exogenous biocolloids in a bioremediation operation can enhance the transport of contaminant in ground water by reducing retardation effects. Because of their colloidal size and favorable surface conditions in addition to their low density, bacteria can act as efficient contaminant carriers. When mobile bacteria are present in a subsurface environment, the system can be treated as consisting of three phases: water phase, bacterial phase, and the stationary solid matrix phase. In this work, a mathematical model based on mass balances is developed to describe the facilitated transport and fate of a contaminant in a porous medium. Bacterial partition between the bulk solution and the stationary solid matrix, and the contaminant partition among the three phases are represented by the equilibrium relationships. Solutions were obtained to provide estimates of contaminant and bacterial concentrations. A dimensionless analysis of the transport model was utilized to estimate model parameters from the experimental data. The model results matched with experimental data of Jenkins and Lion (1993). The presence of mobile bacteria enhances the contaminant transport. However, bacterial consumption of the contaminant which serves as a bacterial nutrient, can attenuate the contaminant concentration.

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Global Warming Effects on the Cambial Growth of Larix leptolepis in Central Korea : Predictions from Simulation Modeling (지구온난화에 따른 중부 한국 낙엽송의 형성층 생장 예측: 시뮬레이션 모델링)

  • Won-Kyu Park;Eugene Vaganov;Maria Arbatskaya;Jeong-Wook Seo;Je-Su Kim
    • The Korean Journal of Quaternary Research
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    • v.14 no.1
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    • pp.57-63
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    • 2000
  • A simulation model was used to examine the effects of climate variation on the tree-ring structure of Larix leptolepis trees growing at a plantation plot in Worak National Park in central Korea. The model uses mathematical equations to simulate processes affecting cell(tracheid) size variations for individual rings using daily precipitation and temperature measurements. Limiting conditions are estimated from temperature, day length and a calculated water balance. The results indicate that the seasonal growth is mostly limited by the soil moisture content and precipitation income during April and May. The April-May temperature also inversely influences the growth by increasing water losses from soil. The global climate-change scenario which includes regional warming(increasing temperature in spring-summer periods) appears to decrease the duration of optimal growths. Consequently, the model estimated that Larix leptolepis would lose the total production of xylem by 25%.

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A Quantitative Analysis Theory for Reliability of Software (소프트웨어 신뢰성의 정량적 분석 방법론)

  • Cho, Yong-Soon;Youn, Hyun-Sang;Lee, Eun-Seok
    • Journal of KIISE:Computing Practices and Letters
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    • v.15 no.7
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    • pp.500-504
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    • 2009
  • A reliability of software is a type of nonfunctional requirement. Traditionally, a validation of the reliability is processed at the integration phase in software development life cycle. However, it increases the cost and the risk for the development. In this paper, we propose reliability analysis method based on mathematical analytic model at the architecture design phase of the development process as follows. First, we propose the software modeling methodology for reliability analysis using Hierarchical combined Queueing Petri Nets(HQPN). Second, we derive the Markov Reward Model from the HQPN based model. We apply our approach to the video conference system to verify the usefulness of our approach. Our approach supports quantitative evaluation of the reliability.

Implementation of The Fluid Circulation Blood Pressure Simulator (유체 순환 혈압 시뮬레이터의 구현)

  • Kim, C.H.;Lee, K.W.;Nam, K.G.;Jeon, G.R.
    • Journal of Biomedical Engineering Research
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    • v.28 no.6
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    • pp.768-776
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    • 2007
  • A new type of the fluid circulation blood pressure simulator was proposed to enhance the blood pressure simulator used for the development and evaluation of automatic sphygmomanometers. Various pressure waveform of fluid flowing in the pipe was reproduced by operating the proportional control valve after applying a pressure on the fluid in pressurized oil tank. After that, appropriate fluid was supplied by operating the proportional control valve, which enabled to reproduce various pressure wave of the fluid flowing in the tube. To accomplish this work, the mathematical model was carefully reviewed in cooperating with the proposed simulator. After modeling the driving signal as input signal and the pressure in internal tube as output signal, the simulation on system parameters such as internal volume, cross-section of orifice and supply pressure, which are sensitive to dynamic characteristic of system, was accomplished. System parameters affecting the dynamic characteristic were analyzed in the frequency bandwidth and also reflected to the design of the plant. The performance evaluator of fluid dynamic characteristic using proportional control signal was fabricated on the basis of obtained simulation result. An experimental apparatus was set-up and measurements on the dynamic characteristic, nonlinearity, and rising and falling response was carried out to verify the characteristic of the fluid dynamic model. Controller was designed and thereafter, simulation was performed to control the output signal with respect to the reference input in the fluid dynamic model using the proposed proportional control valve. Hybrid controller combined with an proportional controller and feed-forward controller was fabricated after applying a disturbance observer to the control plant. Comparison of the simulations between the conventional proportional controller and the proposed hybrid simulator indicated that even though the former showed good control performance.

A Study on the Performance Improvement of Fuzzy Controller Using Genetic Algorithm and Evolution Programming (유전알고리즘과 진화프로그램을 이용한 퍼지제어기의 성능 향상에 관한 연구)

  • 이상부;임영도
    • Journal of the Korean Institute of Intelligent Systems
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    • v.7 no.4
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    • pp.58-64
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    • 1997
  • FLC(Fuzzy Logic Controller) is stronger to the disturbance than a classical controller and its overshoot of the intialized value is excellent. In case an unknown process or the mathematical modeling of a complicated system is impossible, a fit control quantity can be acquired by the Fuzzy inference. But FLC can not converge correctly to the desirable value because the FLC's output value by the size of the quantization level of the Fuzzy variable always has a minor error. There are many ways to eliminate the minor error, but I will suggest GA-FLC and EP-FLC Hybrid controller which csombines FLC with GA(Genetic Algorithm) and EP(Evo1ution Programming). In this paper, the output characteristics of this Hybrid controller will be compared and analyzed with those of FLC, it will he showed that this Hybrid controller converge correctly to the desirable value without any error, and !he convergence speed performance of these two kinds of Hyhrid controller also will be compared.

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The Design of Target Tracking System Using FBFE Based on VEGA (VEGA 기반 FBFE을 이용한 표적 추적 시스템 설계)

  • 이범직;주영훈;박진배
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.4
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    • pp.359-365
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    • 2001
  • In this paper, we propose the design methodology of target tracking system using fuzzy basis function expansion(FBFE) based on virus evolutionary genetic algorithm (VEGA). In general, the objective of target tracking is to estimate the future trajectory of the target based on the past position of the target obtained from the sensor. In the conventional and mathematical nonlinear filtering method such as extended Kalman filter(EKF), the performance of the system may be deteriorated in highly nonlinear situation. To resolve these problems of nonlinear filtering technique, by appling artificial intelligent technique to the tracking control of moving targets, we combine the advantages of both traditional and intelligent control technique. In the proposed method, after composing training datum from the parameters of extended Kalman filter, by combining FDFE, which has the strong ability for the approximation, with VEGA, which prevent GA from converging prematurely in the case of lack of genetic diversity of population, and by idenLifying the parameters and rule numbers of fuzzy basis function simultaneously, we can reduce the tracking error of EKF. Finally, the proposed method is applied to three dimensional tracking problem, and the simulation results shows that the tracking performance is improved by the proposed method.

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Design of Controller for Rapid Thermal Process Using Evolutionary Computation Algorithm and Fuzzy Logic (진화 연산 알고리즘과 퍼지 논리를 이용한 고속 열처리 공정기의 제어기 설계)

  • Hwang, Min-Woong;Do, Hyun-Min;Choi, Jin-Young
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.6
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    • pp.37-47
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    • 1998
  • This paper proposes a controller design method using the evolutionary computation algorithm and the fuzzy logic to control the wafer temperature in rapid thermal processing. First, we design the feedforward static controller to provide the control powers of the lamps for the given steady state temperature. Second, the feedforward dynamic controller is designed for the additional control powers to achieve a given transient response. These feedforward controllers are implemented by using the fuzzy logic to act as a global nonlinear controller over a wide range of operating points. The parameters of these controllers are optimized by using the evolutionary computation algorithm so that it can be used when the mathematical model is not available. In addition, the feedback error controller is introduced to compensate the feedforward controllers when there exist disturbances and modeling errors. The gain of feedback error controller is also obtained by the evolutionary computation algorithm. Through simulations, we verify the proposed control system can give a satisfactory performance.

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Effect of Water on the Kinetics of Nitric Oxides Reduction by Ammonia over V-based Catalyst (바나듐계 촉매상에서 암모니아를 이용한 질소산화물의 환원반응속도에 수분이 미치는 영향에 관한 연구)

  • Kim, Young-Deuk;Jeong, Soo-Jin;Kim, Woo-Seung
    • Transactions of the Korean Society of Automotive Engineers
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    • v.20 no.6
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    • pp.73-82
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    • 2012
  • The main and side reactions of the three selective catalytic reduction (SCR) reactions with ammonia over a vanadium-based catalyst have been investigated using synthetic gas mixtures in the temperature range of $170{\sim}590^{\circ}C$. The three SCR reactions are standard SCR with pure NO, fast SCR with an equimolar mixture of NO and $NO_2$, and $NO_2$ SCR with pure $NO_2$. Vanadium based catalyst has no significant activity in NO oxidation to $NO_2$, while it has high activity for $NO_2$ decomposition at high temperatures. The selective catalytic oxidation of ammonia and the formation of nitrous oxide compete with the SCR reactions at the high temperatures. Water strongly inhibits the selective catalytic oxidation of ammonia and the formation of nitrous oxide, thus increasing the selectivity of the SCR reactions. However, the presence of water inhibits the SCR activity, most pronounced at low temperatures. In this study, the experimental results are analyzed by means of a dynamic one-dimensional isothermal heterogeneous plug-flow reactor (PFR) model according to the Eley-Rideal mechanism.