• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.313-321
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• 2004

In this paper we study the problem of three-dimensional layout optimization on the simplified rotating vessel of satellite. The layout optimization model with behavioral constraints is established and some effective and convenient conditions of performance optimization are presented. Moreover, we prove that the performance objective function is locally Lipschitz continuous and the results on the relations between the local optimal solution and the global optimal solution are derived.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.29-44
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• 2008

By employing the continuation theorem of coincidence degree theory, we derive a sufficient condition for the existence and attractricity of a positive periodic solution for a generalized predator-prey model with diffussion feedback controls.

• East Asian mathematical journal
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• 제38권1호
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• pp.21-31
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• 2022

This paper is concerned with the optimal control problem associated to the self-organizing target detection model in 1D domains. That is, we show the global existence of weak solution and the existence of optimal control.

• Management Science and Financial Engineering
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• 제21권2호
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• pp.25-30
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• 2015

This short article compares different solution methods for a basic RBC model (Hansen, 1985). We solve and simulate the model using two main algorithms: the methods of perturbation and projection, respectively. One novelty is that we offer a type of the hybrid method: we compute easily a second-order approximation to decision rules and use that approximation as an initial guess for finding Chebyshev polynomials. We also find that the second-order perturbation method is most competitive in terms of accuracy for standard RBC model.

• 경영과정보연구
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• 제29권4호
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• pp.109-121
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• 2010

본 연구는 전형적인 차량경로 문제에서 각 노드간의 이동 시간이 일정하지 않은 특수한 경우의 상황에 대한 해법 절차를 제공한다. 본 연구는 상황에 따라 변화하는 이동시간을 갖는 외판원 문제의 특별한 경우인 '한 노드까지 도달한 경로가 다음 노드로 이동하는 데 걸리는 시간에 영향을 주는 외판원 문제'(경로의존 이동비용을 갖는 외판원 문제(RDTSP: Route Dependent Travelling Salesman Problem))의 해법을 제시한다. RDTSP 문제의 해결을 위해 먼저 문제 상황을 묘사하는 정수 계획 모형을 개발하였다. 본 연구에서 제시한 정수계획 모형에서는, 모든 가능한 경로에 대하여 각각의 경로를 하나의 변수로 정의하고 이 변수들 중에서 하나를 선택하는 형태로 개발되었다. 이 모형에서는 변수에 해당하는 가능한 경로의 수가 노드수에 지수적(exponentially)으로 증가하기 때문에, 처음부터 모든 변수를 문제에 포함시켜 풀 수 없게 된다. 그러나, 개발된 정수계획 모형의 변수를 실수로 완하시킨 선형완화(LP relaxation) 문제에 대해서는 열 생성(column generation) 기법을 통해 그 해를 구할 수 있다. 또한 본 연구의 결과가 PCB 조립 공정의 작업시간 최적화 문제에 어떻게 적용될 수 있는가를 제시한다.

• 한국농공학회지
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• 제41권2호
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• pp.37-43
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• 1999

This study was conducted to develop the simple and convenient irrigation control model which can maintain the appropriate rates of irrigation and drainage of nutrient solution according to the enviornmental conditions and growth stages in soilless culture of cucumber. In order to obtain fundamental data for development of the model, investigation of the actual state of soilless culture practices was carried out. Most irrigatioin systems of soillness culture were controlled by the time colock. Evapotranspiration of cucumber in soilness culture was investigated and correlations with environmental conditions were analyzed , and its estimating model was developed. In order to develop the irrigation system which can control the amount of nutrient solution applied according to seasons, weather conditions, and growth stages, a irrigation clock control was developed. Applicability of the model was tested by simulation. Drainage rates of nutrient solution controlled by conventional time clock, integrated solar radiation, and the developed model were 61% , 20%, and 32% , respectively in cucumber perlite culture.

• 한국식품영양학회지
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• 제13권5호
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• pp.477-482
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• 2000

고분자 물질 용액에 감자 절편을 침지시의 탈수현상을 설명하기 위해 (1) 비정상 상태(unsteadystate)에서의 확산 식을 초기시간에 대해 단순화시킨 모델, (2) 침지시간별로 수분확산계수와 평균확산계수를 비교하여 탈수현상을 설명하고자 한 모델, (3) 물질이동에 대한 Fick의 제2법칙을 무한평판의 조건에서 전체 시간에 대해 전개한 모델 등 3가지 모델을 가정하여 검토한 결과 PEG용액에 감자절편을 침지했을 때 물질이동의 동력학적인 해석은 Fick의 제2법칙에 근거한 모델이 잘 적용되었으며 수분의 확산계수를 추정한 결과 8$\times$$10^{-7}$~4$\times$$10^{-6}$$ extrm{cm}^2$/s 범위였다.

• Nuclear Engineering and Technology
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• 제55권6호
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• pp.2305-2314
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• 2023

The governing equations of atmospheric dispersion most often taking the form of a second-order partial differential equation (PDE). Currently, typical computational codes for predicting atmospheric dispersion use the Gaussian plume model that is an analytic solution. A Gaussian model is simple and enables rapid simulations, but it can be difficult to apply to situations with complex model parameters. Recently, a method of solving PDEs using artificial neural networks called physics-informed neural network (PINN) has been proposed. The PINN assumes the latent (hidden) solution of a PDE as an arbitrary neural network model and approximates the solution by optimizing the model. Unlike a Gaussian model, the PINN is intuitive in that it does not require special assumptions and uses the original equation without modifications. In this paper, we describe an approach to atmospheric dispersion modeling using the PINN and show its applicability through simple case studies. The results are compared with analytic and fundamental numerical methods to assess the accuracy and other features. The proposed PINN approximates the solution with reasonable accuracy. Considering that its procedure is divided into training and prediction steps, the PINN also offers the advantage of rapid simulations once the training is over.

• 멤브레인
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• 제14권1호
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• pp.75-84
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• 2004

폴리아미드계 역삼투 분리막의 투과성능을 비교하기 위하여 NaCl과 NaOCl을 함유하는 혼합용액을 공급수로 사용하여 연속운전과 단속운전 하에서 실험하여 보았다. 이 결과를 가지고 막 이동 모델의 선택적 적용이 가능함을 제시하고자 하였으며 투과 성능 분석 결과, 용액 확산 모델과 선흡착-모세관이동 모델이 운전 모드에 따라 상대적으로 유용함을 볼수 있었다. 연속 운전에서는 선흡착-모세관이동 모델을, 단속 운전에서는 용액 확산 모델을 따름을 알 수 있었다 NaOCl에 의한 표면 변화를 SEM 사진을 통하여 확인 할 수 있었다. 연속운전 후의 막은 염소 투과 결과 표면에서 부분적인 ridge and valley 구조가 나타났으며 단속 운전 후의 막은 표면 전반에서 변성이 일어난 것을 볼 수 있었다.

• Membrane and Water Treatment
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• 제1권2호
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• pp.139-158
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• 2010

This work focuses on the application of nanofiltration (NF) to the concentration of a pharmaceutical product, Clavulanate ($CA^-$), from clarified fermentation broths, which show a complex composition with six main identified ions ($K^+$, $Cl^-$, ${NH_4}^+$, $H_2{PO_4}^-$, ${SO_4}^{2-}$ and $CA^-$), glucose and glycerol. The solutes transport through the NF membrane pores was investigated using the SEDE (Steric, Electric and Dielectric Exclusion) model. This model was applied to predict the rejection rates of the initial feed solution and the final concentrated solution (10-fold concentrated solution). The best results were achieved with a single fitted parameter, ${\varepsilon}_p$ (the dielectric constant of the solution inside pores) and considering that the membrane selectivity is governed by steric, electric (Donnan) and Born dielectric exclusion mechanisms. While the predicted intrinsic rejections of solutions comprising up to six ions and uncharged solutes were in good agreement with the experimental values, the deviations were much larger for the 10-fold concentrated solution.