• 제목/요약/키워드: Upper and lower solution method

검색결과 109건 처리시간 0.026초

POSITIVE COEXISTENCE FOR A SIMPLE FOOD CHAIN MODEL WITH RATIO-DEPENDENT FUNCTIONAL RESPONSE AND CROSS-DIFFUSION

  • Ko, Won-Lyul;Ahn, In-Kyung
    • 대한수학회논문집
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    • 제21권4호
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    • pp.701-717
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    • 2006
  • The positive coexistence of a simple food chain model with ratio-dependent functional response and cross-diffusion is discussed. Especially, when a cross-diffusion is small enough, the existence of positive solutions of the system concerned can be expected. The extinction conditions for all three interacting species and for one or two of three species are studied. Moreover, when a cross-diffusion is sufficiently large, the extinction of prey species with cross-diffusion interaction to predator occurs. The method employed is the comparison argument for elliptic problem and fixed point theory in a positive cone on a Banach space.

Measurement of Complex Modulus of Acoustic Materials by Using Transfer Function Method

  • Kim, Hyun-Sil;Kim, Jae-Seung;Kang, Hyun-Joo;Kim, Bong-Ki;Kim, Sang-Ryul
    • The Journal of the Acoustical Society of Korea
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    • 제21권1E호
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    • pp.12-17
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    • 2002
  • Two improvements are discussed in measurement of the complex Young's modulus of the acoustic materials by using the transfer function method. It is found that the accelerometer misalignment might result in the severe measurement error, particularly in high frequency range. The supporting structure is modified to attach the upper and lower accelerometers along the vertical axis. Secondly, the method fur solving the equation associated with wave model is described. The solution of the lumped mass-spring model is chosen as the starting value for low frequency range, while in the mid and high frequency, the solution to the previous frequency step is used as the initial values. Measurements are done for hard and soft rubber specimens. It is shown that the erroneous peaks in the transfer function, due to the measurement error, cause highly incorrect Young's modulus and loss factors.

분지한계기법을 이용한 무환네트위크에서 최대물동량경로의 해법에 관한 연구 (A Study on the Solution Method of Maximum Origin-Destination Flow Path in an Acyclic Network using Branch and Bound Method)

  • 성기석;임준목
    • 한국경영과학회지
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    • 제20권3호
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    • pp.31-41
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    • 1995
  • The maximum Origin-Destination Flow Path Problem (MODFP) in an Acyclic Network has known as NP-hard. K. S. Sung has suggested on Optimal Algorithm for MODFP based on the Pseudo flo or arc and the K-th shortest path algorithm. When we try to solve MODFP problem by general Branch and Bound Method (BBM), the upper and lower bounds of subproblems are so weak that the BBM become very inefficient. Here we utilized the Pseudo flow of arc' for the tight bounds of subproblems so that it can produce an efficient BBM for MODFP problem.

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양액공급방법이 수경재배 멜론의 생육에 미치는 영향 (Effect of Nutrient Supply Methods on the Growth of Hydroponically Grown Melon)

  • 김성배;장전익
    • 생물환경조절학회지
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    • 제13권3호
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    • pp.125-129
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    • 2004
  • 모관 양액 공급시스템을 이용한 수경 재배 시 공급시스템의 효율성을 검증하고 제주 송이와 펄라이트 혼합배지에서의 멜론 및 엽채류의 생육특성을 구명코자하였다. 모관 양액 공급 시스템에서의 네트 멜론의 품종별 생육 및 과실 특성은 양호하였으며, 과중은 일반재배에서의 국ㆍ내 상품기준인 1과당 1.8~2.0kg과 비슷한 경향을 보였다. 무네트형 멜론인 아리스 품종은 급액 방법에 따라 과실 특성의 차이는 없었으나 당도에 있어서는 점적 및 모관 시스템에서 15.6과 $15.5^{\circ}$Brix로 분무 시스템의 $14.4^{\circ}$Brix보다 높았다. 네트형 멜론인 얼스엘리트 품종에서는 분무시스템보다 점적 및 모관시스템에서 과실 특성이 양호하였으며 당도도 높은 경향이었다. 멜론 재배 전ㆍ후 배지내 pH의 변화는 시스템별로 차이가 없었으나 하층부보다는 상층부에서 pH가 높게 나타났다. 배지내 무기성분 함량은 점적시스템에서 상층부보다 하층부에서 높았고, 모관시스템에서는 상층부에서 높은 경향이었다.

I형강기둥의 국부좌굴 특성 (Local Buckling Characteristics of a column with I section)

  • 임종완;임장근
    • 한국자동차공학회논문집
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    • 제2권4호
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    • pp.18-26
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    • 1994
  • The buckling characteristics of I - shaped columns which are composed of thin web and equal upper/lower flange plates are generally classified into the local and global modes. In this paper, its local buckling problem has been formulated on the basis of the assumed buckling modes using the finite element method for beams and plates. The effects of local bucklings are studied for various size rations and end conditions of I-shaped columns. The calculated results are comparatively well consistent with values obtained from the existing studies. The global buckling characteristics calculated by the present method are in good agreement with the classical rigid web solution

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Hydrodynamic performance of a vertical slotted breakwater

  • George, Arun;Cho, Il Hyoung
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.468-478
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    • 2020
  • The wave interaction problem with a vertical slotted breakwater, consisting of impermeable upper, lower parts and a permeable middle part, has been studied theoretically. An analytical model was presented for the estimation of reflection and transmission of monochromatic waves by a slotted breakwater. The far-field solution of the wave scattering involving nonlinear porous boundary condition was obtained using eigenfunction expansion method. The empirical formula for drag coefficient in the near-field, representing energy dissipation across the slotted barrier, was determined by curve fitting of the numerical solutions of 2-D channel flow using CFD code StarCCM+. The theoretical model was validated with laboratory experiments for various configurations of a slotted barrier. It showed that the developed analytical model can correctly predict the energy dissipation caused by turbulent eddies due to sudden contraction and expansion of a slotted barrier. The present paper provides a synergetic approach of the analytical and numerical modelling with minimum CPU time, for better estimation of the hydrodynamic performance of slotted breakwater.

구매종속성을 고려한 주문충족률의 근사적 계산 (Approximate Calculation of Order Fill Rate under Purchase Dependence)

  • 박창규
    • 산업경영시스템학회지
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    • 제40권4호
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    • pp.137-146
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    • 2017
  • For the competitive business environment under purchase dependence, this paper proposes a new approximate calculation of order fill rate which is a probability of satisfying a customer order immediately using the existing inventory. Purchase dependence is different to demand dependence. Purchase dependence treats the purchase behavior of customers, while demand dependence considers demand correlation between items, between regions, or over time. Purchase dependence can be observed in such areas as marketing, manufacturing systems, and distribution systems. Traditional computational methods have a difficulty of the curse of dimensionality for the large cases, when deriving the stationary joint distribution which is utilized to calculate the order fill rate. In order to escape the curse of dimensionality and protect the solution from diverging for the large cases, we develop a greedy iterative search algorithm based on the Gauss-Seidel method. We show that the greedy iterative search algorithm is a dependable algorithm to derive the stationary joint distribution of on-hand inventories in the retailer system by conducting a comparison analysis of a greedy iterative search algorithm with the simulation. In addition, we present some managerial insights such as : (1) The upper bound of order fill rate can be calculated by the one-item pure system, while the lower bound can be provided by the pure system that consists of all items; (2) As the degree of purchase dependence declines while other conditions remain same, it is observed that the difference between the lower and upper bounds reduces, the order fill rate increases, and the order fill rate gets closer to the upper bound.

An Elastic-Plastic Stress Analysis in Silicon Carbide Fiber Reinforced Magnesium Metal Matrix Composite Beam Having Rectangular Cross Section Under Transverse Loading

  • Okumus, Fuat
    • Journal of Mechanical Science and Technology
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    • 제18권2호
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    • pp.221-229
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    • 2004
  • In this work, an elastic-plastic stress analysis has been conducted for silicon carbide fiber reinforced magnesium metal matrix composite beam. The composite beam has a rectangular cross section. The beam is cantilevered and is loaded by a single force at its free end. In solution, the composite beam is assumed perfectly plastic to simplify the investigation. An analytical solution is presented for the elastic-plastic regions. In order to verify the analytic solution results were compared with the finite element method. An rectangular element with nine nodes has been choosen. Composite plate is meshed into 48 elements and 228 nodes with simply supported and in-plane loading condations. Predictions of the stress distributions of the beam using finite elements were overall in good agreement with analytic values. Stress distributions of the composite beam are calculated with respect to its fiber orientation. Orientation angles of the fiber are chosen as $0^{circ},\;30^{circ},\;45^{circ},\;60^{circ}\;and\;90^{circ}$. The plastic zone expands more at the upper side of the composite beam than at the lower side for $30^{circ},\;45^{circ}\;and\;60^{circ}$ orientation angles. Residual stress components of ${\sigma}_{x}\;and \;{\tau}_{xy}$ are also found in the section of the composite beam.

AHP를 활용한 SWG 조합기술 평가기준에 관한 연구 (A Study on the AHP based Evaluation Criteria for the Combinatorial Technology of Smart Water Grid)

  • 김윤중;곽동근;김원태;김정주;신흥섭;김용성;김상선;김채수
    • 상하수도학회지
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    • 제28권1호
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    • pp.103-110
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    • 2014
  • In this study, the evaluation criteria of performance and applicability is developed to rank the combinatorial technologies for SWG (Smart Water Grid) system using AHP (Analytic Hierarchy Process) method. Security, safety, solution, suitability and sustainability which are goals of SWG technology, are used as upper level hierarchy elements. And three detailed elements for each upper level hierarchy are adopted as the lower level hierarchy. The weighted value which represents the importance of each element, could be determined through questionnaires accomplished by groups of specialists who are engaged in relevant waster industry and research area. To assess the accuracy of the evaluation criteria developed in this study, a simulation on four decision alternatives for smart water grid was carried out as an evaluation. Consequently which showed 90 % of accuracy.

수직 평판 요소의 수중동요 근사해와 설계 적용 (Approximate Solution of Vertical Wave Board Oscillating in Submerged Condition and Its Design Application)

  • 오정근;김주열;김효철;권종오;류재문
    • 대한조선학회논문집
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    • 제55권6호
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    • pp.527-534
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    • 2018
  • The segment of the piston type wave board has been expressed as a submerged vertical line segment in the two dimensional wave flume. Either end of vertical line segment representing wave board could be located in fluid domain from free surface to the bottom of the flume. Naturally the segment could be extended from the bottom to the free surface of the flume. It is assumed that the piston motion of the wave board could be defined by the sinusoidal oscillation in horizontal direction. Simplified analytic solution of the submerged segment of wave board has been derived through the first order perturbation method in water of finite depth. The analytic solution has been utilized in expressing the wave generated by the piston type wave board installed on the upper or lower half of the flume. The wave form derived by the analytic solution have been compared with the wave profile obtained through the CFD calculation for the either of the above cases. It is appeared that the wave length and the wave height are coincided each other between analytic solution and CFD calculation. However the wave form obtained by CFD calculations are more closer to real wave form than those from analytic calculation. It is appeared that the linear solutions could be not only superposed by segment but also integrated by finite elements without limitation. Finally it is proven that the wave generated by the oscillation of flap type wave board could be derived by integrating the wave generated by the sinusoidal motion of the finite segment of the piston type wave board.