• 한국농공학회논문집
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• 제58권1호
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• pp.81-90
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• 2016

The Agricultural Systems Application Platform (ASAP) provides bottom-up modelling and simulation environment for agricultural engineer. The purpose of this study is to expand usability of the ASAP to the second order partial differential equations: elliptic equations, parabolic equations, and hyperbolic equations. The ASAP is a general-purpose simulation tool which express natural phenomenon with capsulized independent components to simplify implementation and maintenance. To use the ASAP in continuous problems, it is necessary to solve partial differential equations. This study shows usage of the ASAP in elliptic problem, parabolic problem, and hyperbolic problem, and solves of static heat problem, heat transfer problem, and wave problem as examples. The example problems are solved with the ASAP and Finite Difference method (FDM) for verification. The ASAP shows identical results to FDM. These applications are useful to simulate the engineering problem including equilibrium, diffusion and wave problem.

• 한국터널지하공간학회 논문집
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• 제2권3호
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• pp.47-57
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• 2000

터널의 파괴는 사면의 경우처럼 파괴면의 형상을 사전에 가정하기 어렵기 때문에 한계평형법에 기초한 해석법을 적용하여 안전율을 구하기가 곤란하다. 본 연구에서는 이러한 문제를 극복하기 위하여 강도감소기법을 이용한 수치해석기법에 의해 터널의 안전율을 구하는 방법을 제시하였다. 균질한 암반에 굴착된 원형터널을 가정하여 무보강, 부분보강 및 인버트의 완전한 폐합의 경우에 대하여 안전율을 계산하였으며, 요소망의 크기에 따른 민감도 분석을 위해 크기가 다른 3가지의 요소망을 사용하여 계산 결과를 비교하였다. 제안된 방법의 검증을 위해, 특정한 파괴 활동면을 갖는 경우에 대해 한계평형해석을 수행하여 수치해석 결과와 비교하였다. 본 논문에서 제안한 터널의 안전율 계산 방법은 터널의 형상이나 암반의 상태에 관계없이 적용될 수 있으므로 향후 터널 설계 및 안정성 평가에 큰 도움이 될 수 있을 것으로 생각된다.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회 2006년도 추계학술대회
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• pp.599-617
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• 2006

혼잡한 교통네트워크에서 조사된 통행량으로부터 확률적 사용자 평형을 이루는 통행분포와 통행배정을 동시에 구하기 위한 네트워크 모델과 유전알고리즘을 제안하였다. 확률적 사용자 평형을 이루는 모델은 선형제약을 가진 비선형 목적함수를 최소화하는 문제로 정식화하였다. 네트워크 모델에서는 해의 탐색공간을 줄이고 조사된 통행량을 만족시키기 위해서 흐름보존제약을 활용하였다. 목적함수는 흐름보존, 통행발생량, 통행유입량, 조사통행량 등의 제약을 만족하는 링크통행량과, 경로통행배정을 통하여 구한, 확률적 사용자 평형을 이루는 경로통행량을 만족하는 링크통행량의 차이를 최소화하는 것으로 정식화하였다. 제안된 유전알고리즘에서 유전자는 통행분포, 링크통행량, 여행비용계수 등을 나타내는 벡터로 정의하였다. 각 유전자는 목적함수의 값으로 구한 적합도에 따라 평가되며, 병행단체교차와 돌연변이에 의하여 진화한다.

• 한국지능시스템학회논문지
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• 제8권2호
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• pp.70-81
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• 1998

본 논문은 저비용이면서 정확한 비퍼지화 연산을 수행하는 새로운 COA(Center of Area) 비퍼지화기를 제안한다. 제안한 COA 비퍼지화기의 정확성은 비퍼지화 연산시 소속값뿐 아니라 소속 함수의 폭을 고려함으로서 얻어진다. 제안한 COA 비퍼지화기의 저비용성은 비퍼지화 연산시 요구되는 나눗셈 연산을 좌.우측 모멘트의 균형점을 찾는 것으로 대신함으로서 얻어진다. 제안한 COA 비퍼지화기는 승산기가 부가적으로 필요하고 모멘트의 균형점을 찾는데 많은 시간이 걸리는 단점이 있다. 첫번째 단점은 승산기를 확률적 AND 연사으로 대치함으로서 극복되고, 두번째 단점은 모멘트의 균형점을 빠르게 탐색하는 coarse-to-fine 탐색 알고리즘에 의해 해결된다. VHDL 시뮬레이션을 통해 제안한 COA 비퍼지화기를 트럭 후진 주차 문제에 적용한 결과 기존의 COA 비퍼지화기보다 향상된 평균 주행 거리 특성을 보임을 확인하였다.

• 대한기계학회논문집A
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• 제37권11호
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• pp.1429-1436
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• 2013

본 논문에서는 미분게임 이론과 다수준 계획법을 이용하여 차량 전복 방지 제어기를 설계하는 방법을 제안한다. 차량 전복 방지 문제는 비협조적 제로섬 2 인 미분게임으로 정식화된다. 미분게임의 균형해로 얻어지는 제어기는 모든 가능한 조향 입력에 대해 최악의 성능을 보장한다. 적은 계산량으로 미분 게임의 균형해를 찾기 위해 완화 과정을 가지는 다수준 계획법을 이용한다. 차량의 롤 운동을 억제하기 위해 능동 현가장치를 사용하면 차량의 횡방향 안정성이 상실되므로 이를 방지하기 위해 자세제어장치(ESP)를 이용한다. 시뮬레이션을 통해 제안된 방법이 미분게임의 균형해를 찾는데 효과적임을 보이고 설계된 제어기가 차량의 전복을 방지함을 보인다.

• 대한방사선치료학회지
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• 제10권1호
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• pp.69-77
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• 1998

When a high energy photon beam is used to treat lesions located in the upper respiratory air passages or in maxillary sinus, the beams often must traverse an air cavity before it reaches the lesion. Because of this traversal of air, it is not clear that the surface layers of the lesion forming the air-tumor tissue interface will be in a state of near electronic equilibrium; if they are not, underdosing of these layers could result. Although dose corrections at large distances beyond an air cavity are accountable by attenuation differences, perturbations at air-tissue interfaces are complex to measure or calculate. This problem has been investigated for 4MV and 10MV X-ray beams which are becoming widely available for radiotherapy with linear accelerator. Markus chamber was used for measurement with variouse air cavity geometries in X-ray beams. Underdosing effects occur at both the distal and proximal air cavity interface. The magnitude depended on geometry, energy, field sizes and distance from the air-tissue interfaces. As the cavity thickness increased, the central axis dose at the distal interface decreased. Increasing field size remedied the underdosing, as did the introduction of lateral walls. Fellowing a $20{\times}2{\times}2\;cm^3$\;air\;cavity,\;4{\times}4\;cm\;field\;there\;was\;an\;11.5\%\;and\;13\%\;underdose\;at\;the\;distal\;interface,\;while\;a\;20{\times}20{\times}2\;cm^3\;air\;cavity\;yielded\;a\;24\%\;and\;29\%$ loss for the 4MV and 10MV beams, respectively. The losses were slightly larger for the 10MV beams. The measurements reported here can be used to guide the development of new calculation models under non-equilibrium conditions. This situation is of clinical concern when lesions such as larynx and maxillary carcinoma beyond air cavities are irradiated.

• Journal of applied mathematics & informatics
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• 제31권1_2호
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• pp.1-25
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• 2013

In this paper we have developed a mathematical model of alcohol abuse. It consists of four compartments corresponding to four population classes, namely, moderate and occasional drinkers, heavy drinkers, drinkers in treatment and temporarily recovered class. Basic reproduction number $R_0$ has been determined. Sensitivity analysis of $R_0$ identifies ${\beta}_1$, the transmission coefficient from moderate and occasional drinker to heavy drinker, as the most useful parameter to target for the reduction of $R_0$. The model is locally asymptotically stable at disease free or problem free equilibrium (DFE) $E_0$ when $R_0$ < 1. It is found that, when $R_0$ = 1, a backward bifurcation can occur and when $R_0$ > 1, the endemic equilibrium $E^*$ becomes stable. Further analysis gives the global asymptotic stability of DFE. Our aim of this analysis is to identify the parameters of interest for further study with a view for informing and assisting policy-makers in targeting prevention and treatment resources for maximum effectiveness.

• 한국결정성장학회지
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• 제14권3호
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• pp.95-100
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• 2004

This paper reports a potential problem in the electrical performance of the silicide film to silicon contacts with respect to the scaling trend in integrated circuit (IC) devices. The effects of elastic strain on the agglomeration of the coherent silicide film embedded in an infinite matrix are studied employing continuum linear elasticity and finite-difference numerical method. The interface atomic diffusion is taken to be the dominant transport mechanism where both capillarity and elastic strain are considered for the driving forces. Under plane strain condition with elastically homogeneous and anisotropic system with cubic symmetry, the dilatational misfit and the tetragonal misfit in the direction parallel to the film thickness are considered. The numerical results on the shape evolution agree with the known trend that the equilibrium aspect ratio of the film increases with the elastic strain intensity. When the elastic strain intensity is taken to be only a function of the film size, the flat film morphology with a large aspect ratio becomes increasingly unstable since the equilibrium aspect ratio decreases, as the film scales. The shape evolution results in a large decrease in contact to silicon area, and may deteriorate the electrical performances.

• Biomaterials and Biomechanics in Bioengineering
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• 제2권4호
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• pp.207-223
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• 2015

In this paper a method for simultaneous swift non-linear analysis and optimal design/posture of mechanical/biomechanical systems is presented. The method is developed to get advantages of iterations in non-linear analysis and/or generations in genetic algorithm (GA) for the purpose of efficient analysis within the optimal design/posture. The method is applicable for both size and geometry optimizations wherein material and geometry non-linearity are present. In addition to established mechanical systems, the method can solve biomechanical models of human musculoskeletal system. Optimization-based procedures are popular methods for resolving the redundancy at joints wherein the number of unknown muscle forces is far more than the number of equilibrium equations. These procedures involve optimization of a cost function(s) which is assumed to be consistent with the central nervous system's strategy when activating muscles to assure equilibrium. However, because of the complexity of biomechanical problems (i.e., due to non-linear biomaterial, large deformation, redundancy of the problem and so on) efficient analysis are required within optimization procedures as suggested in this paper.

• Journal of applied mathematics & informatics
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• 제31권5_6호
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• pp.747-767
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• 2013

In this paper we have constructed a mathematical model of alcohol abuse which consists of four compartments corresponding to four population classes, namely, moderate and occasional drinkers, heavy drinkers, drinkers in treatment and temporarily recovered class. Basic reproduction number $R_0$ has been determined and sensitivity analysis of $R_0$ indicates that ${\beta}1$ (the transmission coefficient from moderate and occasional drinker to heavy drinker) is the most useful parameter for preventing drinking habit. Stability analysis of the model is made using the basic reproduction number. The model is locally asymptotically stable at disease free or problem free equilibrium (DFE) $E_0$ when $R_0&lt;1$. It is found that, when $R_0=1$, a backward bifurcation can occur and when $R_0&gt;1$, the endemic equilibrium $E^*$ becomes stable. Further analysis gives the global asymptotic stability of DFE under some conditions. Our important analytical findings are illustrated through computer simulation. Epidemiological implications of our analytical findings are addressed critically.