• 제목/요약/키워드: unique solution

검색결과 580건 처리시간 0.025초

봉쇄가 존재하는 나무형태 대기행렬 네트워크 알고리듬의 이론적 고찰 (Some Theoretical Results on the Algorithm for the Tree-like Queueing Networks with Blocking)

  • 이효성
    • 한국경영과학회지
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    • 제22권4호
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    • pp.51-69
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    • 1997
  • Recently Lee et al[5] developed an approximation algorithm for the performance evaluation of the open queueing networks with blocking. This algorithm, which solves the exponential queueing networks with general configuration is developed based on the symmetrical decomposition approach and is reported to have many advantages over the previous algorithmsf. In addition to being very accurate, this algorithm is reported to be quite simple, pretty fast and solves very general configurations. In this study, we show that if a network has a tree-like configurations, the algorithm developed by Lee at al, always converges to the unique solution. To prove the theoretical results pertaining to the algorithm, some properties associated with symmetrical decomposition approach are exploited. The results obtained in this study such as the proofs of convergence of the algorithm as well as uniquences of the solution would contribute to the theoretical study for the non-tandem configurating of open queueing network.

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OPTIMAL LIQUIDATION OF A LARGE BLOCK OF STOCK WITH REGIME SWITCHING

  • Shin, Dong-Hoon
    • 대한수학회보
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    • 제48권4호
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    • pp.737-757
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    • 2011
  • This work is concerned with an optimal selling rule for a large position of stock in a market. Selling a large block of stock in a short period typically depresses the market, which would result in a poor filling price. In addition, the large selling intensity makes the regime more likely to be poor state in the market. In this paper, regime switching and depressing terms associated with selling intensity are considered on a set of geometric Brownian models to capture movements of underlying asset. We also consider the liquidation strategy to sell much smaller number of shares in a long period. The goal is to maximize the overall return under state constraints. The corresponding value function with the selling strategy is shown to be a unique viscosity solution to the associated HJB equations. Optimal liquidation rules are characterized by a finite difference method. A numerical example is given to illustrate the result.

Electric Field Effect on Nanochannel Formation in Electrochemical Porous Structures of Alumina

  • Kim, Keun-Joo;Choi, Jae-Ho;Lee, Jung-Tack
    • Transactions on Electrical and Electronic Materials
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    • 제11권5호
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    • pp.230-233
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    • 2010
  • The authors investigated the anodization mechanism of aluminum in an oxalic acid solution, and the electrochemical reaction is very unique for pore formation via the dissolution process, which is very dependent on the surface geometry in nanoporous alumina templates. The cross-sectional nanochannels showed that the geometrical curvature of the initial surface can cause the branching of nanochannels to be adjusted in volume occupancy to be direct to the electric field normal to the surface. The nanoporous alumina with the crystalline $\gamma-Al_2O_3$ phase showed hexagonal ordering at a voltage of 40 V, with a nanohole distance of 102 nm from the charge density oscillation of the oxalic acid solution.

Analysis of the Singular Point of Cyclic Voltammograms Recorded with Various Scan Rates

  • Chang, Byoung-Yong
    • Journal of Electrochemical Science and Technology
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    • 제8권3호
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    • pp.244-249
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    • 2017
  • This paper presents the results of an investigation into the isoamperic point of cyclic voltammograms, which is defined as the singular point where the voltammograms of various scan rates converge. The origin of the unique point is first considered from a theoretical perspective by formulating the voltammetric curves as a system of linear equations, the solution of which indicates that a trivial solution is only available at the potential at which the net current is zero during the reverse potential scan. In addition, by way of a mathematical formulation, it was also shown that the isoamperic point is dependent on the switching potential of the potential scanning. To validate these findings, theoretical and practical cyclic voltammmograms were studied using finite-element based digital simulations and 3-electrode cell experiments. The new understanding of the nature of the isoamperic point provides an opportunity to measure the charge transfer effects without the influence of the mass transfer effects when determining the thermodynamic and kinetic characteristics of a faradaic system.

MEURAL NETWORK을 이용한 병렬매니플레이터의 순기구학 해석 (Forward Kinematics Analysis of a Parallel Manipulator Using Neural Network)

  • 이제섭;최병오;조택동
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 추계학술대회 논문집
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    • pp.224-228
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    • 2000
  • In this paper, the kinematics of the new type of parallel manipulator is studied, and neural network is applied to solve the forward kinematics problem. The parallel manipulator, called a Stewart platform, has an easy and unique solution about the inverse kinematics, however the forward kinematics is difficult to get the solution because of the lack of an efficient algorithm due to its highly nonlinearity. This paper proposes the neural network scheme as an alternative Newton-Raphson method. The neural network is found to improve its accuracy by adjusting the offset of the result obtained.

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Studies on the Nuclear Magnetic Resonance Spectra of (E)-1-Aryl-3-(2- and 3-thienyl)-2-propenones and Unique Observation of 4J and 5J Coupling in Their 1H-1H COSY

  • HanLee, In-Sook;Jeon, Hyun-Ju;Lee, Chang-Kiu
    • Bulletin of the Korean Chemical Society
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    • 제32권2호
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    • pp.687-692
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    • 2011
  • $^1H$ and $^{13}C$ NMR spectra of series of (E)-1-aryl-(2- and 3-thienyl)-2-propenones, that are aldol condensation products between 2- and 3-thiophenecarbaldehydes and m- and p-substituted acetophenones, were examined to make complete assignments of the chemical shifts. Long range couplings, $^4J$ and $^5J$, are observed in the $^1H-^1H$ COSY of both 2- and 3-thienyl compounds, which makes the elucidation of the conformation in solution possible. In contrast, the 2-furyl analogue shows the long range coupling phenomena, but the 3-furyl and phenyl analogues do not show similar phenomena.

Growth regime and environmental remediation of microalgae

  • Hammed, Ademola Monsur;Prajapati, Sanjeev Kumar;Simsek, Senay;Simsek, Halis
    • ALGAE
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    • 제31권3호
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    • pp.189-204
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    • 2016
  • Microalgal bioremediation of CO2, nutrients, endocrine disruptors, hydrocarbons, pesticides, and cyanide compounds have evaluated comprehensively. Microalgal mitigation of nutrients originated from municipal wastewaters, surface waters, and livestock wastewaters has shown great applicability. Algal utilization on secondary and tertiary treatment processes might provide unique and elegant solution on the removing of substances originated from various sources. Microalgae have displayed 3 growth regimes (autotrophic, heterotrophic, and mixotrophic) through which different organic and inorganic substances are being utilized for growth and production of different metabolites. There are still some technology challenges requiring innovative solutions. Strain selection investigation should be directed towards identification of algal that are extremophiles. Understanding and manipulation of metabolic pathways of algae will possible unfold solution to utilization of algae for mitigation of dissolve organic nitrogen in wastewaters.

의학교육에서의 교육정보시스템 활용 (Utilization of an Educational Information System for Medical Education)

  • 이동엽
    • 의학교육논단
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    • 제16권1호
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    • pp.1-6
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    • 2014
  • The teaching and learning environment in medical schools is significantly different from that of other academic fields. An educational information system specifically designed for medical education could be an important solution for the unique context of medical education. In this study, the concept of the educational information system has been reviewed, and how such a system can be utilized effectively for medical education has also been explored. This paper also addresses how learning management systems for online learning could be made more effective through educational information systems. The application of flipped learning, which has been developing rapidly to improve teaching and learning, for medical education was also investigated. In conclusion, it was found that educational information systems could be a solution to various teaching and learning issues in medical schools. In particular, given that high performing students tend to enter medical schools, using educational information systems to improve the teaching and learning environment in medical school should be investigated further.

신경망을 이용한 공작기계 병렬 매니퓰레이터의 기구학 특성 분석 (Analysis on Kinematic Characteristics of a Machine Tool Parallel Manipulator Using Neural Network)

  • 이제섭;고준빈
    • 한국공작기계학회논문집
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    • 제17권3호
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    • pp.1-7
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    • 2008
  • This paper describes the kinematics which is a new type of parallel manipulator, and the neural network is applied to solving the forward kinematics problem. The parallel manipulator called it as a Stewart platform has an easy and unique solution about the inverse kinematics. However, the forward kinematics is difficult to get a solution because of the lack of an efficient algorithm caused by its highly nonlinearity. This paper proposes the neural network scheme of an Newton-Raphson method alternatively. It is found that the neural network can be improved its accuracy by adjusting the offset of the obtained result.

ON THE DISSIPATIVE HELMHOLTZ EQUATION IN A CRACKED DOMAIN WITH THE DIRICHLET-NEUMANN BOUNDARY CONDITION

  • Krutitskii, P.A.;Kolybasova, V.V.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제9권1호
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    • pp.63-77
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    • 2005
  • The Dirichlet-Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed curves and containing cuts is studied. The Neumann condition is given on the closed curves, while the Dirichlet condition is specified on the cuts. The existence of a classical solution is proved by potential theory. The integral representation of the unique classical solution is obtained. The problem is reduced to the Fredholm equation of the second kind and index zero, which is uniquely solvable. Our results hold for both interior and exterior domains.

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