• Communications of the Korean Mathematical Society
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• v.13 no.4
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• pp.691-725
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• 1998

무한차원 상공간에서의 디리클레 형식과 이에 관계된 확산과정에 대한 일반 이론을 소개하고, 이 이론을 물리학의 통계역학 모델에 적용하였다. 구체적으로, 고전 비유계 스핀계에 대한 통계역학적인 모델, 연속체 공간에서 상호 작용하는 무한 입자계에 대한 통계역학적인 모델에 응용하였다. 아울러서 확률 미분 방정식과 같은 디리클레 형식에 관련된 연구분야에 대해서도 간단히 알아보았다.

• Journal of the Korean Data and Information Science Society
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• v.28 no.2
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• pp.297-307
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• 2017

The epidemic model is used to model the spread of disease and to control the disease. In this research, we utilize SEIR model which is one of applications the SIR model that incorporates Exposed step to the model. The SEIR model assumes that a people in the susceptible contacted infected moves to the exposed period. After staying in the period, the infectee tends to sequentially proceed to the status of infected, recovered, and removed. This type of infection can be used for research in cases where there is a latency period after infectious disease. In this research, we collected respiratory infectious disease data for the Middle East Respiratory Syndrome Coronavirus (MERSCoV). Assuming that the spread of disease follows a stochastic process rather than a deterministic one, we utilized the Poisson process for the variation of infection and applied epidemic model to the stochastic chemical reaction model. Using observed pandemic data, we estimated three parameters in the SIER model; exposed rate, transmission rate, and recovery rate. After estimating the model, we applied the fitted model to the explanation of spread disease. Additionally, we include a process for generating the Exposed trajectory during the model estimation process due to the lack of the information of exact trajectory of Exposed.

• Journal of Navigation and Port Research
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• v.33 no.3
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• pp.235-240
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• 2009

Simulation method based on probability was developed to evaluate the durability of reinforced concrete structures about chloride attack. The effects of the probability parameters(surface chloride ion concentration, initial combined chloride ion concentration, the depth of cover thickness of concrete, and the chloride ion diffusion coefficient), probability distribution function and it's variation were calculated using the Monte Carlo method and Fick's 2nd law. From the durability design method proposed in this study, the following results were obtained. 1) The effects of the distance from the coast and the chloride ion diffusion coefficient to the corrosion probability were quite high. 2) The effect of the variation of each parameters was relatively low.

• The Korean Journal of Applied Statistics
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• v.21 no.5
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• pp.801-811
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• 2008

Modeling financial phenomena with diffusion processes is a commonly used methodology in the area of modern finance. Recently, various types of diffusion models have been suggested to explain the specific financial processes, and their related inference methodology have been also developed. In particular, likelihood methods for the efficient and accurate inference have been explored in various ways. In this paper, we review the mathematical properties of an approximated likelihood method, which is obtained by linearizing the drift coefficient of a diffusion process.

• Proceedings of the Korea Concrete Institute Conference
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• 2008.04a
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• pp.545-548
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• 2008

As the corrosion of reinforcing bar in concrete structures exposed to chloride attack is one of main factors to determine the remaining service life, marine concrete structures have to be designed to protect the chloride penetration. Among the durability design methods such as deterministic method and probabilistic method, design method based on the probabilistic theory has been widely studied. However, the most essential material, data of the material properties related to chloride diffusion, are still insufficient. In this paper, the probabilistic distribution of chloride diffusion coefficients and aging coefficients are derived by the experiment and analysis for the chloride coefficients of concrete containing pozzolans, which are generally used in marine structures.

• Proceedings of the Korean Information Science Society Conference
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• 2002.04a
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• pp.235-237
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• 2002

본 논문에서는 전용 코드 방식의 CDMA 슬롯 ALOHA 시스템에서 패킷 전송 확률을 동적으로 제어하는 알고리즘을 제안한다. 전용 코드 방식의 CDMA 슬롯 ALOHA 시스템에서는 고유의 확산코드론 이용하여 패킷을 전송하므로 패킷 충돌로 인한 전송 실패는 없는 반면, 다원 접속 간섭에 의한 비트 오류가 패킷 전송의 실패 요인 된다. 제안한 알고리즘에서는 기지국이 망의 부하에 따라 단말기들의 패킷 전송 확률을 계산하여 방송하고, 단말기에서는 이를 기반으로 패킷 전송을 시도한다. 성능 분석의 결과, 제안한 알고리즘은 망의 부하에 따라 적응적으로 전송 확률을 제어함으로써 동시에 전송되는 패킷의 수를 일정하게 유지시킬 수 있었으며, 이로 인하여 시스템 성능이 향상됨을 알 수 있었다.

• Proceedings of the Korean Vacuum Society Conference
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• 2016.02a
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• pp.127.2-127.2
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• 2016

연구된 Si위의 흡착원자들의 확산 메커니즘들에 비해 Ge 표면에서의 확산 메커니즘은 잘 알려져 있지 않다. 최근 연구에 따르면, 수소가 덮인 Ge(110) 표면에서 그래핀 결정 핵생성은 비등방적이며, 낟알 둘레없이 웨이퍼 크기로 성장시킬 수 있음을 보였다. 본 연구에서는 VASP(Vienna Ab-initio Simulation Package)의 NEB(Nudged Elastic Band) 방법을 이용하여 수소가 덮인 Ge(110) 표면과 청결한 표면에서 탄소원자의 확산 과정과 확산에 따른 에너지 장벽을 계산 하였다. 계산 결과 수소가 덮인 표면에서의 탄소원자 확산은 체인 방향으로 각각 3.29 eV, 2.67 eV의 에너지 장벽을 가지고 청결한 표면에서는 탄소원자가 게르마늄 연결을 치환하며 확산한다. 이때 에너지 장벽은 0.82 eV이고 치환된 게르마늄이 확산할 때는 각각 0.64 eV, 0.59 eV의 에너지 장벽을 넘어야 한다. 결과적으로 수소가 덮인 표면에서보다 청결한 표면에서 탄소 확산 에너지 장벽이 낮으며, 청결한 표면에서는 탄소가 게르마늄을 치환하고 치환된 게르마늄이 확산할 확률이 높음을 알 수 있었다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.38B no.6
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• pp.485-491
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• 2013

Recently, with the proliferation of social network services, users and many companies hope that their information spread more faster. In order to study the information diffusion in the social networks, many algorithms such as greedy algorithm and heuristic algorithm have been proposed. However, the greedy algorithm is too complicated to use in real-life social network, and the heuristic algorithms have been studied under the uniform distribution of diffusion probability, which is different from the real social network property. In this paper, we propose an heuristic information diffusion maximization algorithm based on diffusion probability and node degree. For performance evaluation, we use real social network database, and it is verified that our proposed algorithm activates more active nodes than existing algorithms, which enables faster and wider information diffusion.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.25 no.12B
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• pp.1979-1987
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• 2000

다중 경로 감쇄 채널 환경에서 순방향 DS-CDMA 송수신기의 성능은 사용자에 할당된 확산 수열의 특성에 따라 영향을 받는다. DS-CDMA의 수신기 비트 오류 확률 (BER) 성능은 수신단에서의 신호 대 간섭전력비 (SIR)의 함수로서, 사용자 확산 수열로 왈시 부호와 같은 직교 수열을 사용한 직교 확산 방식과 임의의 랜덤 수열로 사용한 랜덤 확산 방식에서의 수신 신호 간섭 전력은 상이한 특성을 가진다. 이 논문에서는 채널 부호를 사용하지 않은 경우와 길쌈 부호를 사용한 경우에 대해 두 시스템에서의 수신 심벌 SIR을 유도한 뒤 몬테 카를로 분석을 통해 이론적인 BER 성능을 구하고, 전산 모의 실험을 통해 이러한 분석의 타당성을 확인한다. 위상 지연이 동일한 다른 사용자 신호들로 인한 간섭 전력의 상승으로 인해 랜덤 확산 방식은 직교 확산 방식에 비해 성능이 크게 떨어진다. 경로수가 증가함에 따라 이러한 성능 차이는 감소하나 경로수가 많은 경우에도 2배 이상의 사용자 용량 차이가 발생한다.

• Journal of the Korean Recycled Construction Resources Institute
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• v.8 no.3
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• pp.276-285
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• 2020

In this study, accelerated chloride diffusion tests were performed on OPC(Ordinary Portland Cement) and FA(Fly Ash) concrete considering three levels o f W/B(Water to Binder) ratio o n 1,095 curing days. The accelerated chloride diffusion coefficient and the passed charge were evaluated in accordance with Tang's method and ASTM C 1202, and the resistance performance to chloride attack improved over time. FA concrete showed excellent resistance performance against chloride penetration with help of pozzolanic reaction. As the result of the passed charge, FA concrete showed durability improvement, "low" grade to "very low" grade, but OPC concrete changed "moderate" grade to "low" grade at 1,095 curing days. After assuming the design variables used for durability design as normal distribution functions, the service life of each case was evaluated by the probabilistic analysis method based on MCS(Monte Carlo Simulation). In FA concrete, the increase of probability of durability failure was lower than that of OPC concrete with increasing time, because the time-dependent coefficient of FA concrete was up to 3.2 times higher than OPC concrete. In addition, the service life by probabilistic analysis was evaluated lower than the service life by deterministic analysis, since the target probability of durability failure was set to 10%. It is considered that more economical durability design will be possible if the mo re suitable target probability of durability failure is set for various structures through researches on actual conditions and indoor tests under various circumstances.