• 대한수학회보
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• 제56권5호
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• pp.1143-1157
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• 2019

Let $T_aD_b(n)$ and $T_aD^{\prime}_b(n)$ denote respectively the number of representations of a positive integer n by $a(x^2-x)/2+b(4y^2-3y)$ and $a(x^2-x)/2+b(4y^2-y)$. Similarly, let $S_aD_b(n)$ and $S_aD^{\prime}_b(n)$ denote respectively the number of representations of n by $ax^2+b(4y^2-3y)$ and $ax^2+b(4y^2-y)$. In this paper, we prove 162 formulas for these functions.

• 대한방사선기술학회지:방사선기술과학
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• 제40권1호
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• pp.121-126
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• 2017

의료용 디지털 영상 및 통신 표준 영상과 3차원 프린팅을 이용한 보청기 이어 쉘 제작기술을 연구하였다. 이는 기존에 없는 새로운 적용방법이며 보청기 수요자의 안전, 감염, 제작시간, 진행 단계를 줄일 수 있는 적용기술이다. 연구는 의료용 디지털 영상 및 통신 표준 영상으로 스테레오리소그래피 파일을 만들기 위한 0.5 mm, 1.0 mm, 2.0 mm의 볼륨으로 획득한 값을 3차원 프린터로 출력 전과 후의 과정에서 형상표면에 미치는 영향을 실험하였다. 출력 전에는 스테레오리소그래피 파일구조에 대해 상대적 관계를 비교하였고, 출력 후에는 이어 쉘 형상표면의 적층구조 간격을 현미경으로 확대하여 비교하였다. 스테레오리소그래피 파일구조 분석에서 0.5 mm, 1.0 mm, 2.0 mm의 순으로 삼각형 꼭지점, 5개 이상의 교차점, 최대 교차점의 개수가 많았으며 외이도 형상 자체의 굴곡도에 따라 Bending, Angle, Crest 영역 순으로 삼각형 구조가 조밀하게 분포하였다. 디지털 현미경에 의한 이어 쉘 형상표면은 2.0 mm, 1.0 mm, 0.5 mm 순으로 적층구조 간격이 두껍게 나타났다. 이와 같이 스테레오리소그래피 표면구조는 3차원 이어 쉘 형상의 굴곡도가 불규칙하고 스테레오리소그래피 파일을 만들기 위한 의료용 디지털 영상 및 통신 표준 데이터의 볼륨 값이 작을수록 교차하는 스테레오리소그래피 삼각형 구조는 조밀함을 알 수 있었다.

• 수산해양기술연구
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• 제18권1호
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• pp.47-53
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• 1982

본 논문은 비균일대칭성 열Flux인 수직사각 Duct내의 층류조합대류 열전달 효과를 해석하기 위하여 그 유동의 특성 지배 방정식 및 비균일 열Flux의 경계조건을 무차원화 시켜 이를 Galerkin's 방법에 의해 유한요소식으로 정식화하고 이에 대하여 R 하(a) 수 및 압력구배 변수에 대해서 Duct 내의 온도분포, 속도분포 및 Nusselt 수의 값을 계산하였고 온도분포를 열 Flux가 일정 및 없는 경우와 비교하였으며 또 닥트내의 열전달 특성을 R 하(a) 수, 응력구배변수 및 Corner에 따른 변호경향을 조사하였다. 그 결과 1. 본 해석의 경계벽 온도분포 계산치와 유효자료들과의 비교에서 열 Flux가 일정 또는 없는 경우는 그 값이 일치하였다. 2. 닥트내의 온도분포와 Nusselt수의 값은 R 하(a) 수 및 압력구배 변수에 비례하여 증감하였다. 3. Nusselt수는 Corner에서 유속지연에 의한 온도분포의 특성 때문에 그 값이 감소하였으며 최대치는 0.7부근이었다

• 조명전기설비학회논문지
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• 제22권12호
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• pp.71-78
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• 2008

본 연구에서는 전동기 소음 저감을 위한 카오스 2중 텐트 사상(double tent mapping) PWM 기법에 대하여 고찰하였다. 카오스 수 발생은 2중 텐트 사상의 카오스 발생 영역인 ${\lambda}=0.99$에서의 분기 트리(bifurcation tree)를 사용하였다. 카오스 수 발생은 80C196 마이크로 콘트롤러가 담당하고 있으며, 80C196으로부터 발생된 카오스 수와 MAX038 주파수 변조기를 이용하여 카오스 특성을 갖는 삼각파 캐리어가 발생한다. 2.5[A] 부하조건에 대한 1.5[kw]급 유도 전동기 구동 시스템에 제안된 방법과 종전의 고정 주파수 방법을 적용하였으며 각각의 방법에 대하여 캐리어 및 전동기 전압 그리고 3차원 스위칭 소음의 고조파 스펙트럼을 비교 검토하였다. 그 결과 제안된 방법의 고조파 스펙트럼은 특정 주파수에 집중되지 않는 카오스 분포를 하였으며, 이로 인하여 전동기에서 발생하는 날카로운 스위칭 소음이 저감됨을 알 수 있었다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2003년도 춘계학술대회 논문집
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• pp.5-8
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• 2003

This paper presents a methodology to be able to select an appropriate RP system that suits the end use of a part. Evaluation factors used in process selection include major attributes such as accuracy, roughness, strength, elongation, part cost and build time that greatly affect the performance of RP systems. Crisp values such as accuracy and surface roughness are obtained with a new test part developed. The test part is designed with conjoint analysis to reflect users' preference. The part cost and build time that have approximate ranges due to cost and many variable parameters are presented by linguistic values that can be described with triangular fuzzy numbers. Based on the evaluation values obtained, an appropriate RP process for a specific part application is selected by using the modified TOPSIS(Technique of Order Preference by Similarity to Ideal Solution) method. It uses crisp data as well as linguistic variables, and each weight on the alternatives is assigned by using pair-wise comparison matrix. The ranking order helps the decision making of the selection of RP systems.

• 한국의류학회지
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• 제29권9_10호
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• pp.1359-1368
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• 2005

When we develop the tight-fit 2D pattern from the 3D scan data, segmentation of the 3D scan data into several parts is necessary to make a curved surface into a flat plane. In this study, Garland's method of triangle simplification was adopted to reduce the number of data point without distorting the original shape. The Runge-Kutta method was applied to make triangular patch from the 3D surface in a 2D plane. We also explored the detailed arrangement method of small 2D patches to make a tight-fit pattern for a male body. As results, minimum triangle numbers in the simplification process and efficient arrangement methods of many pieces were suggested for the optimal 2D pattern development. Among four arrangement methods, a block method is faster and easier when dealing with the triangle patches of male's upper body. Anchoring neighboring vertices of blocks to make 2D pattern was observed to be a reasonable arrangement method to get even distribution of stress in a 2D plane.

• Industrial Engineering and Management Systems
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• 제15권4호
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• pp.364-373
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• 2016

Disassembly is one of the important activities in treating with the product at the End of Life time (EOL). Disassembly is defined as a systematic technique in dividing the products into its constituent elements, segments, sub-assemblies, and other groups. We concern with a Fuzzy Disassembly Line Balancing Problem (FDLBP) with multiple objectives in this article that it needs to allocation of disassembly tasks to the ordered group of disassembly Work Stations. Tasks-processing times are fuzzy numbers with triangular membership functions. Four objectives are acquired that include: (1) Minimization of number of disassembly work stations; (2) Minimization of sum of idle time periods from all work stations by ensuring from similar idle time at any work-station; (3) Maximization of preference in removal the hazardous parts at the shortest possible time; and (4) Maximization of preference in removal the high-demand parts before low-demand parts. This suggested model was initially solved by GAMS software and then using Genetic Algorithm (GA) in MATLAB software. This model has been utilized to balance automotive engine disassembly line in fuzzy environment. The fuzzy results derived from two software programs have been compared by ranking technique using mean and fuzzy dispersion with each other. The result of this comparison shows that genetic algorithm and solving it by MATLAB may be assumed as an efficient solution and effective algorithm to solve FDLBP in terms of quality of solution and determination of optimal sequence.

• 산업경영시스템학회지
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• 제30권1호
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• pp.89-95
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• 2007

In general, reliability of AHP(Analytic Hierarchy Process) depends on pairwise comparison of evaluators. In addition, human judgment on the importance of alternatives or criteria is always imprecise and vague. To cope with these shortcomings, Fuzzy AHP is suggested and used widely recently. But in Fuzzy AHP, it cannot deal with the evaluator's various attitudes towards risk and confidence owing to evaluator's different expertise and experience. This paper proposes a method for consideration of evaluator's confidence and risk attitude in Fuzzy AHP. And suggested methods are applied various scenarios to verify the meaningfulness. The result shows that the priority of alternatives can be change through the consideration of evaluator's confidence and risk attitude.

• 한국항해학회지
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• 제20권4호
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• pp.59-70
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• 1996

A berth assignment problem has a direct impact on assessment of charges made to ships and goods. In this paper, we concerned with of fuzzy mathematical programming models for a berth assignment problem to achieved an efficient berth operation in a fuzzy environment. In this paper, we focus on the berth assignment programming with fuzzy parameters which are based on personal opinions or subjective judgement. From the above point of view, assume that a goal and a constraint are given by fuzzy sets, respectively, which are characterized by membership functions. Let a fuzzy decision be defined as the fuzzy set resulting from the intersection of a goal and constraint. This paper deals with fuzziness in all parameters which are expressed by fuzzy numbers. A fuzzy parameter defined by a fuzzy number means a possibility distribution of the parameters. These fuzzy 0-1 integer programming problems are formulated by fuzzy functions whose concept is also called the extension principle. We deal with a berth assignment problem with triangular fuzzy coefficients and propose a branch and bound algorithm for solving the problem. We suggest three models of berth assignment to minimizing the objective functions such as total port time, total berthing time and maximum berthing time by using a revised Maximum Position Shift(MPS) concept. The berth assignment problem is formulated by min-max and fuzzy 0-1 integer programming. Finally, we gave the numerical solutions of the illustrative examples.

• 국제초고층학회논문집
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• 제8권4호
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• pp.255-264
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• 2019

This paper describes large eddy simulation of wind pressures on a square cylinder in a uniform flow and a high-rise building immersed in an atmospheric turbulent boundary layer. For the atmospheric boundary layer case, the inflow turbulence is generated by a numerical wind tunnel. In the numerical simulation, particular attention is devoted to the performance of an auto hexahedral non-structural mesh. Both simulations are performed for three grid systems: an auto hexahedral non-structured grid, a structured Cartesian grid and a non-structured triangular prism grid, and for three grid numbers. The present study shows that the auto hexahedral unstructured mesh achieves the best simulation results for wind pressures on the square cylinder and the high-rise building. When the grid number is sufficiently large, the differences among the results obtained from the three investigated grid systems are not significant. However, the advantage of the auto hexahedral unstructured mesh becomes clear when the grid number decreases, because it enables a balanced distribution of orthogonal grids. The results described in this paper demonstrate that the auto hexahedral non-structured mesh has good potential applicability to simulation of urban flows.