• 대한수학회보
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• 제57권3호
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• pp.649-660
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• 2020

This paper proves a new regularity criterion for solutions to the Cauchy problem of the 3D Boussinesq equations via one directional derivative of the horizontal component of the velocity field (i.e., (∂_iu₁; ∂_ju₂; 0) where i, j ∈ {1, 2, 3}) in the framework of the anisotropic Lebesgue spaces. More precisely, for 0 < T < ∞, if $$\large{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_o}^T}({\HUGE\left\|{\small{\parallel}{\partial}_iu_1(t){\parallel}_{L^{\alpha}_{x_i}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}+}{\HUGE\left\|{\small{\parallel}{\partial}_iu_2(t){\parallel}_{L^{\alpha}_{x_j}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}})dt<{{\infty}},$$ where ${\frac{2}{{\gamma}}}+{\frac{1}{{\alpha}}}+{\frac{2}{{\beta}}}=m{\in}[1,{\frac{3}{2}})$ and ${\frac{3}{m}}{\leq}{\alpha}{\leq}{\beta}<{\frac{1}{m-1}}$, then the corresponding solution (u, θ) to the 3D Boussinesq equations is regular on [0, T]. Here, (i, ${\hat{i}}$, ${\tilde{i}}$) and (j, ${\hat{j}}$, ${\tilde{j}}$) belong to the permutation group on the set 𝕊₃ := {1, 2, 3}. This result reveals that the horizontal component of the velocity field plays a dominant role in regularity theory of the Boussinesq equations.

• 경영과학
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• 제18권2호
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• pp.125-134
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• 2001

This paper is concerned with the development of a GIS-based distribution system with service consideration. The proposed model could be used for a wide range of logistics applications in planning, engineering and operational purpose for logistics system. This research addresses the formulation of those complex prob1ems of two-echelon logistics system to plan the incorporating supply center locations and distribution problems based on GIS. We propose an integrated logistics model for determining the optimal patterns of supply centers and inventory allocations (customers) with a three-step sequential approach. 1) First step, Developing GIS-distance model and stochastic set-covering program to determine Optimel pattern of supply center location. 2) Second step, Optimal sector-clustering to support customers. 3) Third step, Optimal vehicle rouse scheduling based on GIS, GIS-VRP In this research we developed GUI-tree program, the GIS-VRP provide the vehicle to users and freight information in real time. We applied a set of sample examples to this model and demonstrated samp1e results. It has been found that the proposed model is potentially efficient and useful in solving multi-depot problem through examples. However the proposed model can provide logistics decision makers to get the best supply schedule.

• Management Science and Financial Engineering
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• 제17권1호
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• pp.45-63
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• 2011

The aim of this paper is to consider the process of supplying trained workers with knowledge and skills for upcoming business opportunities and the process of training apprentices to be prepared to meet future demands in an IT service firm. As the demand for new workers fluctuates, a firm should employ a buffer workforce such as apprentices or interns. However, as a result of rapid business development, the capacity of the buffer may be exceeded, thus requiring the company to recruit skilled workers from outside the firm. Therefore, it is important for a firm to map out a strategy for manpower planning so as to fulfill the demands of new business and minimize the operation costs related to training apprentices and recruiting experienced workers. First, this paper analyzes the supply and demand of workers for the IT service in a knowledge-intensive field. It then presents optimal human resource planning strategies via the familiar method of stochastic process. Also, we illustrate that our model is applied to the human resource planning of an information security service firm in South Korea.

• 대한교통학회지
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• 제27권6호
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• pp.167-176
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• 2009

교통수요관리(travel demand management)는 통행수요를 적절히 제어함으로서 교통혼잡을 최소화시키려는 목적으로 시행되는 제반 교통정책이라 할 수 있다. 교통수요를 적절히 관리하기 위해서는 먼저, 정책목표를 설정하고 이를 달성할 수 있는 최적의 정책변수들을 찾아야 하는데, 현재 이에 대한 연구는 미흡한 실정이다. 이런 측면에서 본 연구는 설정된 정책목표를 달성하기 위한 교통수요관리모형과 이를 풀기 위한 알고리듬을 제시한다. 교통수요관리모형은 2가지로 개발되는데, 첫 번째 모형은, 기점과 종점간 평균 통행시간을 대상으로 목표치를 설정한 후 이 목표치를 달성하기 위한 적정 통행수요를 구하는 문제이며, 두 번째 모형은 혼잡이 심한 특정한 지역을 대상으로 해당지역에 포함된 링크의 교통량/용량비가 일정한 목표수준을 유지되도록 하는 최적 통행수요를 구하는 문제이다. 간단한 예제 교통망을 대상으로 본 연구에서 제시한 모형들을 평가한다.

• 한국수자원학회논문집
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• 제31권1호
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• pp.59-69
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• 1998

빈도별 홍수량의 지역분석을 위하여 유역의 지형특성을 독립변수로 이용하는 회귀모형을 검정하였다. 그런데 이들 독립변수들간의 상관관계가 존재할 경우 능형회귀모형이 이용되기도 하는 이 방법은 다중공선성 문제를 극복하는데 적합한 방법으로 알려져 있다. 능형회귀모형을 최적화하기 위해서는 조정변수가 포함되는 비용함수를 최소화하여야 한다. 본 연구에서는 이 최적화를 위하여 유전알고리즘을 이용하였다. 유전알고리즘은 자연 생물의 유전 및 진화과정을 모방한 추계학적 탐색방법을 말한다. 이러한 유전알고리즘을 이용하여 지역분석 모형을 검정한 결과 안정된 매개변수의 가중치를 얻을 수 있었다.

• 디지털콘텐츠학회 논문지
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• 제19권7호
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• pp.1373-1379
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• 2018

센서를 활용한 다양한 응용들의 등장으로 사물 인터넷 환경에서 무선 센서 기기들의 활용범위가 점점 넓어지고 있다. 그런데 무선 센서 특성상 전력자원의 한계가 있으므로, 무선 통신과 같이 전력소모가 큰 작업들을 에너지 효율적으로 운영해야 한다. 이를 위해, 본 논문에서는 수집된 센서 데이터를 모아서 전송하는 방식(data aggregation) 하에서 확률 모형 기반의 에너지 소비 모델을 개발하고, 개발된 모델을 기반으로 전력소비를 최소화하는 센서 데이터 전송주기를 구하였다. 또한, 분석 결과를 바탕으로 최적 전송주기의 성능을 수치예제로 보였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 춘계학술대회
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• pp.1801-1806
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• 2004

Stochastic nature of subgrid-scale stress causes the predictability problem in large eddy simulation (LES) by which the LES solution field decorrelates with field from filtered directnumerical simulation (DNS). In order to evaluate the predictability limit in a priori sense, the information on the interplay between resolved scale and subgrid-scale (SGS) is required. In this study, the analysis on the inter-scale interaction is performed by applying tophat and cutoff filters to DNS database of flow over a circular cylinder at Reynolds number of 3900. The effect of filter shape is investigated on the interpretation of correlation between scales. A critique is given on the use of tophat filter for SGS analysis using DNS database. It is shown that correlations between Karman vortex and SGS kinetic energy drastically decrease when the cutoff filter is used, which implies that the small scale universality holds even in the presence of the large scale coherent structure.

• International Journal of Control, Automation, and Systems
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• 제5권3호
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• pp.251-268
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• 2007

A Gaussian sum filter (GSF) is proposed in this paper on simultaneous localization and mapping (SLAM) for mobile robot navigation. In particular, the SLAM problem is tackled here for cases when only bearing measurements are available. Within the stochastic mapping framework using an extended Kalman filter (EKF), a Gaussian probability density function (pdf) is assumed to describe the range-and-bearing sensor noise. In the case of a bearing-only sensor, a sum of weighted Gaussians is used to represent the non-Gaussian robot-landmark range uncertainty, resulting in a bank of EKFs for estimation of the robot and landmark locations. In our approach, the Gaussian parameters are designed on the basis of minimizing the representation error. The computational complexity of the GSF is reduced by applying the sequential probability ratio test (SPRT) to remove under-performing EKFs. Extensive experimental results are included to demonstrate the effectiveness and efficiency of the proposed techniques.

• 산업경영시스템학회지
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• 제34권3호
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• pp.1-7
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• 2011

The stocker system is another name of automated storage and retrieval system (AS/RS) and being popularly used as main material handling tools in Liquid Crystal Display (LCD) and semiconductor fabrication facilities. Recently the use of the stocker system has been extended to transportation from conventional storage and retrieval in LCD fabrication facilities. Toolsets are connected in the ground level of the stocker system and 4~6 stories of the shelves are placed in the upper or lower ground level. As a consequence of the more sophisticated design, move requests imposed on the system greatly increased. For solving this problem, the industry adopted the dual-robot stocker system that two robots are moving along the same guide line in the stocker system. This research develops a closed-form solution to estimate a delivery rate of the dual robot stocker system under given design and operation parameters. Using this stochastic model, industry practitioners could analyze performance levels under given various design parameters, and ultimately the model helps optimizing the design parameters.

• Structural Engineering and Mechanics
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• 제27권2호
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• pp.199-222
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• 2007

Composite laminated structures supported on elastic foundations are being increasingly used in a great variety of engineering applications. Composites exhibit larger dispersion in their material properties compared to the conventional materials due to large number of parameters associated with their manufacturing and fabrication processes. And also the dispersion in elastic foundation stiffness parameter is inherent due to inaccurate modeling and determination of elastic foundation properties in practice. For a better modeling of the material properties and foundation, these are treated as random variables. This paper deals with effects of randomness in material properties and foundation stiffness parameters on the free vibration response of laminated composite plate resting on an elastic foundation. A $C^0$ finite element method has been used for arriving at an eigen value problem. Higher order shear deformation theory has been used to model the displacement field. A mean centered first order perturbation technique has been employed to handle randomness in system properties for obtaining the stochastic characteristic of frequency response. It is observed that small amount of variations in random material properties and foundation stiffness parameters significantly affect the free vibration response of the laminated composite plate. The results have been compared with those available in the literature and an independent Monte Carlo simulation.