• 대한금속재료학회지
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• 제49권7호
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• pp.570-576
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• 2011

The shape of a dendrite tip has long been approximated by a paraboloid of revolution, but many attempts have been made as well to more accurately match the dendrite tip profile using other mathematical functions: power function, 4th order polynomial, and hyperbolic function. In the present work, dendrite tip shapes were matched by parabolic function. The differences between the dendrite tip shapes of pivalic acid(PVA)-ethanol(Eth) and succinonitrile(SCN)-salol systems, characterized by anisotropic and isotropic solid-liquid interfacial properties, respectively, were quantitatively treated using shape parameters. The PVA-Eth system showed a slightly higher Z/R value than the SCN-salol system, their Z/R values lying in the range 2-4. (Z is the distance from the tip beyond which the parabolic fit starts to deviate from the profile, and R the tip radius.) ${\lambda}_P$ is the distance from the tip beyond which side branching starts to appear, and is larger in the PVA-Eth system than the SCNsalol system. ${\lambda}_P$ is different for both sides of the 2-dimensional dendrite profile. The difference of ${\lambda}_P$ between both sides of the dendrite is larger for PVA-Eth system than for SCN-salol, implying that the dendrite of PVA-Eth is less symmetric than that of SCN-salol.

• 산업경영시스템학회지
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• 제44권1호
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• pp.26-36
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• 2021

The topic of this study is the field of humanitarian logistics for disaster response. Many existing studies have revealed that compliance with the golden time in response to a disaster determines the success or failure of relief activities, and logistics costs account for 80% of the disaster response cost. Besides, the agility, responsiveness, and effectiveness of the humanitarian logistics system are emphasized in consideration of the disaster situation's characteristics, such as the urgency of life-saving and rapid environmental changes. In other words, they emphasize the importance of logistics activities in disaster response, which includes the effective and efficient distribution of relief supplies. This study proposes a mathematical model for establishing a transport plan to distribute relief supplies in a disaster situation. To determine vehicles' route and the amount of relief for cities suffering a disaster, it mainly considers the urgency, effectiveness (restoration rate), and uncertainty in the logistics system. The model is initially developed as a mixed-integer nonlinear programming (MINLP) model containing some nonlinear functions and transform into a Mixed-integer linear programming (MILP) model using a logarithmic transformation and piecewise linear approximation method. Furthermore, a minimax problem is suggested to search for breakpoints and slopes to define a piecewise linear function that minimizes the linear approximation error. A numerical experiment is performed to verify the MILP model, and linear approximation error is also analyzed in the experiment.

• 사물인터넷융복합논문지
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• 제8권5호
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• pp.127-132
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• 2022

사물인터넷의 발달에 따라 IoT 기기에서 처리되는 데이터의 정확성도 중요시되고 있다. 사물인터넷에서 생산되는 데이터는 센서마다 다양한 포맷과 프로토콜을 사용하고 있기에 수집된 센서 데이터에 이상이 발생하면 정규화하고 통합하는 과정에서 데이터 오류로 인해 실패하거나 잘못된 데이터를 구성하게 된다. 사용자의 상황이나 IoT 기기의 이상 증상은 정확하게 판단되지 않기 때문에 사용자 서비스 장애가 발생하거나 실패하는 문제가 발생한다. 본 논문은 IoT 환경에서 발생되는 다양한 형태의 데이터가 IoT 기기의 특성을 반영하여 정상적인 범주 내에서 변화되는지를 수학적 함수로 산출하여 데이터의 정합성을 탐지하는 방법을 제안한다. IoT 데이터의 발생 특성을 파악하기 위해 '기울기 분석'을 활용한 방법과 '선형 회귀 분석'을 활용한 방법을 각각 제시하고 실험하였다. 기울기를 활용하는 방법은 '증가하는 속도'가 다음에 일어나는 현상에 영향을 미치는 IoT 데이터(센서 기기)에 적합하며, 선형 회귀를 활용하는 방법은 선형적으로 데이터가 움직일 때 '선형 회귀 함수로부터의 차이'가 다음에 일어나는 현상에 영향을 미치는 데이터(수도, 전기 계량기)에 적합하였다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제16권11호
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• pp.3544-3564
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• 2022

With the development of the NB-IoT (Narrow band Internet of Things) and smart cities, coupled with the emergence of smart smoke sensors, new requirements and issues have been introduced to study on the deployment of sensors in large spaces. Previous research mainly focuses on the optimization of wireless sensors in some monitoring environments, including three-dimensional terrain or underwater space. There are relatively few studies on the optimization deployment problem of smart smoke sensors, and leaving large spaces with obstacles such as libraries out of consideration. This paper mainly studies the deployment issue of smart smoke sensors in large spaces by considering the fire probability of fire areas and the obstacles in a monitoring area. To cope with the problems of coverage blind areas and coverage redundancy when sensors are deployed randomly in large spaces, we proposed an optimized deployment strategy of smart smoke sensors based on the PSO (Particle Swarm Optimization) algorithm. The deployment problem is transformed into a multi-objective optimization problem with many constraints of fire probability and barriers, while minimizing the deployment cost and maximizing the coverage accuracy. In this regard, we describe the structure model in large space and a coverage model firstly, then a mathematical model containing two objective functions is established. Finally, a deployment strategy based on PSO algorithm is designed, and the performance of the deployment strategy is verified by a number of simulation experiments. The obtained experimental and numerical results demonstrates that our proposed strategy can obtain better performance than uniform deployment strategies in terms of all the objectives concerned, further demonstrates the effectiveness of our strategy. Additionally, the strategy we proposed also provides theoretical guidance and a practical basis for fire emergency management and other departments to better deploy smart smoke sensors in a large space.

• 한국컴퓨터정보학회논문지
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• 제14권1호
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• pp.73-80
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• 2009

GPCR(Gprotein-coupled receptors) 패밀리(family)는 세포막 단백질로서, 외부 신호를 세포막을 경유하여 세포 내로 전달하는 신호전달 기전에서 중요한 역할을 담당한다. 그러나 GPCR마다 다양하고 복잡한 조절기전을 보이며 매우 특이적인 신호전달 기전을 가지는 것으로 알려져 있다. GPCR의 구조적인 특징과 패밀리 및 서브패밀리 등은 기능별로 잘 알려져 있는데 과거 GPCR을 찾아내는 연구 중에 가장 기본이 되는 일이 주어진 단백질 서열로부터 GPCR을 분류하는 일이다. 이미 발견된 GPCR들을 가지고 수학적인 모델을 이용하여 보다 정확하게 분류하는 연구가 주로 진행되어 왔다. 본 논문에서는 단백질의 기능이 입체적 구조에 의해 결정되는 점에 착안하여 두 GPCR의 아미노산 서열의 유사도가 낮은 경우에 그 2차 구조의 서열을 비교함으로써 기존의 발견된 GPCR의 데이터베이스에서 동일한 기능을 가졌을 것으로 추정되는 미지의 GPCR을 검출하는 방법을 제안한다.

• Steel and Composite Structures
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• 제47권5호
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• pp.551-568
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• 2023

In this research, a new two-dimensional (2D) and quasi three-dimensional (quasi-3D) higher order shear deformation theory is devised to address the bending problem of functionally graded plates resting on an elastic foundation. The displacement field of the suggested theories takes into account a parabolic transverse shear deformation shape function and satisfies shear stress free boundary conditions on the plate surfaces. It is expressed as a combination of trigonometric and exponential shear shape functions. The Pasternak mathematical model is considered for the elastic foundation. The material properties vary constantly across the FG plate thickness using different distributions as power-law, exponential and Mori-Tanaka model. By using the virtual works principle and Navier's technique, the governing equations of FG plates exposed to sinusoidal and evenly distributed loads are developed. The effects of material composition, geometrical parameters, stretching effect and foundation parameters on deflection, axial displacements and stresses are discussed in detail in this work. The obtained results are compared with those reported in earlier works to show the precision and simplicity of the current formulations. A very good agreement is found between the predicted results and the available solutions of other higher order theories. Future mechanical analyses of three-dimensionally FG plate structures can use the study's findings as benchmarks.

• 천문학회보
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• 제45권1호
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• pp.38.2-38.2
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• 2020

Horizon Run 5 (HR5) is a cosmological hydrodynamical simulation which captures the properties of the Universe on a Gpc scale while achieving a resolution of 1 kpc. This enormous dynamic range allows us to simultaneously capture the physics of the cosmic web on very large scales and account for the formation and evolution of dwarf galaxies on much smaller scales. Inside the simulation box. we zoom-in on a high-resolution cuboid region with a volume of 1049 × 114 × 114 Mpc3. The subgrid physics chosen to model galaxy formation includes radiative heating/cooling, reionization, star formation, supernova feedback, chemical evolution tracking the enrichment of oxygen and iron, the growth of supermassive black holes and feedback from active galactic nuclei (AGN) in the form of a dual jet-heating mode. For this simulation we implemented a hybrid MPI-OpenMP version of the RAMSES code, specifically targeted for modern many-core many thread parallel architectures. For the post-processing, we extended the Friends-of-Friend (FoF) algorithm and developed a new galaxy finder to analyse the large outputs of HR5. The simulation successfully reproduces many observations, such as the cosmic star formation history, connectivity of galaxy distribution and stellar mass functions. The simulation also indicates that hydrodynamical effects on small scales impact galaxy clustering up to very large scales near and beyond the baryonic acoustic oscillation (BAO) scale. Hence, caution should be taken when using that scale as a cosmic standard ruler: one needs to carefully understand the corresponding biases. The simulation is expected to be an invaluable asset for the interpretation of upcoming deep surveys of the Universe.

• 한국정보통신학회:학술대회논문집
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• 한국정보통신학회 2022년도 추계학술대회
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• pp.110-113
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• 2022

신호를 제어하는 방식은기존의 전통적인 수학적 방식을 이용한 최적화를 넘어 이제 인공지능이 본격적으로 활용되기 시작하는 단계까지 발전하였다. 이에 따라 인공지능을 적용하는 방안에 대해 다양한 연구들이 진행되고 있는데, 현행 연구에서는 주로 좋은 교통 상황에 대한 마땅한 고려 없이 간단히 지체도만을 고려하여 보상함수를 설정하는 방식을 주로 채택하고 있다. 그러나 이 경우 현실성이 떨어지는 신호 제어 방식을 인공지능이 학습할 가능성이 존재한다는 문제점을 지닐 뿐더러, 보상 함수에서 좋다고 평가하는 것이 실질적인 서비스 수준의 정의에 부합하지 않음을 확인할 수 있다. 따라서 본 연구에서는 기존의 보상함수 설정 사례를 분석하고, 개선 방향을 제시하고자 한다.

• 정보처리학회논문지D
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• 제12D권6호
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• pp.869-874
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• 2005

최근 제품 판매 활동에 있어서 보증수리기간 연장과 관련 부품의 품질을 중심으로 하는 서비스 경쟁이 치열해지고 있다. 이러한 서비스 경쟁에 관련된 변수들은 대부분 명확하지 않으며, 생산 현장의 전문 지식들이 요구되기 때문에, 제품 판매에 관련된 의사결정에 있어서 보다 정교한 도구들의 사용이 요청되고 있다. 이러한 문제들은 제품 서비스 분야에 국한된 것이 아니고, 금융 관련기관, 신용 평가 기관, 보험회사와 같은 조직 및 관련 연구자들에게도 관심의 대상이 되고 있다. 본 논문은 이러한 문제에 관련하여 하나의 퍼지 전문가 시스템을 임베디드 프로그램으로 개발하기 위한 접근 방식을 나타내고, 구체적으로 자동차 판매 서비스 경쟁에 있어서 중요한 부분으로 등장하고 있는 보증수리기간 연장을 중심으로 하는 의사결정 시스템을 제공하는데 있다. 퍼지 전문가 시스템의 구축 도구로는 문제와 해의 상술이 우리에게 익숙한 수학적 표현이 가능하고 사용자 중심의 통합적인 환경을 제공하고 있는 MATLAB을 사용하고, 이것을 기존 회사의 응용 프로그램에 임베디드하기 위한 API 함수들을 소개한다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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• pp.1639-1645
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• 1991

Because of the important role LD converters play in the production of high quality steel, various dynamic models have been attempted in the past by many researchers not only to understand the complex chemical reactions that take place in the converter process but also to assist the converter operation itself using computers. And yet no single dynamic model was found to be completely satisfactory because of the complexity involved with the process. The process indeed involves dynamic energy and mass balances at high temperatures accompanied by complex chemical reactions and transport phenomena in the molten state. In the present study, a mathematical model describing the dynamic behavior of LD converter process has been developed. The dynamic model describes the time behavior of the temperature and the concentrations of chemical species in the hot metal bath and slag. The analysis was greatly facilitated by dividing the entire process into three zones according to the physical boundaries and reaction mechanisms. These three zones were hot metal (zone 1), slag (zone 2) and emulsion (zone 3) zones. The removal rate of Si, C, Mn and P and the rate of Fe oxidation in the hot metal bath, and the change of composition in the slag were obtained as functions of time, operating conditions and kinetic parameters. The temperature behavior in the metal bath and the slag was also obtained by considering the heat transfer between the mixing and the slag zones and the heat generated from chemical reactions involving oxygen blowing. To identify the unknown parameters in the equations and simulate the dynamic model, Hooke and Jeeves parttern search and Runge-Kutta integration algorithm were used. By testing and fitting the model with the data obtained from the operation of POSCO #2 steelmaking plant, the dynamic model was able to predict the characteristics of the main components in the LD converter. It was possible to predict the optimum CO gas recovery by computer simulation