• Title/Summary/Keyword: Equilibrium Distribution

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Effect of Dissolved Organic Matter and Cationic Surfactant on the Distribution of HOC in soil/water system (토양/수체 내 양이온 계면활성제와 용존유기물이 소수성유기화합물의 분포에 미치는 영향 연구)

  • 문정원;박재우
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2000.11a
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    • pp.281-285
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    • 2000
  • The effect of the presence of dissolved organic matters(DOM) on the binding of phenanthrene to cetylpyridinium chloride(CPC) coated sand was investigated. The distribution coefficient of phenanthrene increased with increase of sufactant coverage, and decreased with the presence of dissolved organic matters except for the 1.600mg/g coverage case. Both Aldrich humic acid and extracted dissolved organic matter showed the similar tendency. For the quantification of the overall distribution coefficient, this study presented mass distribution model and estimated the sorption equilibrium coefficients of hydrophobic organic compounds(HOCs) in multi system. The suggested model combined a series of sorption equilibrium relationships including the adsorption of DOMs on sorbents, the binding between HOCs and DOMs, and the sorption of HOCs on sorbents with or without DOMs.

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Strategic Analysis of the Multilateral Bargaining among the Manufacturer, the Online and the Offline Distribution Channels (제조업체, 온라인 유통채널 및 오프라인 유통채널 간의 다자간 협상전략에 관한 연구)

  • Cho, Hyung-Rae;Rhee, Minho;Lim, Sang-Gyu
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.4
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    • pp.145-153
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    • 2014
  • In this paper, we study the bargaining strategy of a manufacturer who sells a product through the online and offline distribution channels. To do this, we derive and analyze the equilibrium solutions for both simultaneous and sequential bargaining games. The result shows that the optimal bargaining strategy heavily depends on the size of the online distribution channel's loyal customers and the difference between the retail prices of the online and the offline distribution channels. It is also shown that, in some cases, the online distribution channel has incentive to downsize its loyal customers and its retail price for a better bargaining outcome.

Application of High-temperature 3-phase Equilibrium Distribution to Dry Scrubber for the Simultaneous Removal of $SO_2$ and Vinyl Chloride (건식세정기에서의 오염물 동시제거를 위한 고온3계평형 모델의 적용과 예비설계에의 응용)

  • 구자공;백경렬
    • Journal of Korean Society for Atmospheric Environment
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    • v.6 no.1
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    • pp.85-96
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    • 1990
  • Simultaneous removal efficiencies of hydrophilic and hydrophobic gaseous pollutants are experimentally determined, and the macroscopic removal mechanism of pollutants in a dry scrubber is analyzed using the extended model of three phase equilibrium distribution of pollutant at high temperatures that can describe the different morphological conditions of adsorbent and water at varying relative humidities. For the simplicity, the inside of spray dryer is divided into three regions of ; (1) absorption, (2) three-phase equilibrium, and (3) adsorption, and the removal efficiencies of each pollutants at three regions are observed at different experimental conditions to estimate the effects of important parameters of dry scrubber. The laboratory experiments simulate the three regions of spray dryer with the temperature control and thus evaporation rate of water from the slurry particle. $SO_2$ as a hydrophilic gaseous pollutant and vinyl chloride as a hydrophobic toxic gas are selected for the future field application to soid waste incineration, and the two types of slurry are made of the two sorbents ; 10 wt.% $Ca(OH)_2$, and 10 wt.% NaOH. Result of temperature effect shows the height of absorption plus three-phase region is decreased as the operation temperature is increased, which results in the lower removal efficiency of $SO_2$ but higher removal for vinyl chloride in the adsorption region of dry scrubber. The removal efficiency of $SO_2$ is higher by NaOH slurry than by $Ca(OH)_2$ slurry due to the hygroscopic nature of NaOH, while the removal of vinyl chloride is higher in $Ca(OH)_2$ case. From the analysis of redults using three-phase equilibrium distribution model, the effective two-phase partition coefficients can be obtained, and the possible extention in the application of the three-phase equilibrium model in a dry scrubber design has been demonstrated.

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A Combined Model of Trip Distribution, Mode Choice and Traffic Assignment (교통분포, 수단선택 및 교통할당의 결합모형)

  • Park, Tae-Hyung
    • IE interfaces
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    • v.15 no.4
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    • pp.474-482
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    • 2002
  • In this paper, we propose a parametric optimization approach to simultaneously determining trip distribution, mode choice, and user-equilibrium assignment. In our model, mode choice decisions are based on a binomial logit model and passenger and cargo demands are divided into appropriate mode according to the user equilibrium minimum travel time. Underlying network consists of road and rail networks combined and mode choice available is auto, bus, truck, passenger rail, and cargo rail. We provide an equivalent convex optimization problem formulation and efficient algorithm for solving this problem. The proposed algorithm was applied to a large scale network examples derived from the National Intermodal Transportation Plan (2000-2019).

Bimatrix Game Approach to Power System Market Analysis (전력거래에서의 내쉬균형점 해석을 위한 Bimatrix 게임 기법 연구)

  • Lee, Kwang-Ho
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.380-382
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    • 2002
  • An important aspect of the study of power system markets involves the assessment of strategic behavior of participants for maximizing their profits. In models of imperfect competition of a deregulated electricity system the key task is to find the Nash equilibrium. In this paper, the bimatrix approach for finding Nash equilibria in electricity markets is investigated. This approach determines pure and mixed equilibria using the complementarity pivot algorithm. The mixed equilibrium in the matrix approach has the equal number of non-zero property. This property makes it difficult to reproduce a smooth continuous distribution for the mixed equilibrium. This paper proposes an algorithm for adjusting the quantization value of discretization to reconstruct a continuous distribution from a discrete one.

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Numerical Analysis of a Weak Shock Wave Propagating in a Medium Using Lattice Boltzmann Method (LBM)

  • Kang, Ho-Keun;Michihisa Tsutahara;Ro, Ki-Deok;Lee, Young-Ho
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.2034-2041
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    • 2003
  • This study introduced a lattice Boltzmann computational scheme capable of modeling thermo hydrodynamic flows with simpler equilibrium particle distribution function compared with other models. The equilibrium particle distribution function is the local Maxwelian equilibrium function in this model, with all the constants uniquely determined. The characteristics of the proposed model is verified by calculation of the sound speeds, and the shock tube problem. In the lattice Boltzmann method, a thermal fluid or compressible fluid model simulates the reflection of a weak shock wave colliding with a sharp wedge having various angles $\theta$$\sub$w/. Theoretical results using LBM are satisfactory compared with the experimental result or the TVD.

Stability analysis of an uncooled segment of superconductor

  • Seol, S.Y.
    • Progress in Superconductivity and Cryogenics
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    • v.19 no.3
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    • pp.8-12
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    • 2017
  • If the part of the HTS magnet is exposed to the outside of the cryogenic coolant due to the fluctuation of the height of the cooling liquid or the vapor generation, the uncooled part becomes very unstable. In this paper, the unstable equilibrium temperature distribution of the uncooled part of a superconductor is obtained, and the maximum temperature and energy are calculated as a function of the uncooled length. Similar to the superconductor stability problem, the current sharing model was applied to derive the theoretical formula and calculated by numerical integration. We also applied a jump model, which assumes that joule heat is generated in all of the uncooled segment, and compares it with the current sharing model results. As a result of the analysis, the stable equilibrium state and the critical uncooled length in the jump model are not shown in the current sharing model. The stability of the conductors to external disturbances was discussed based on the obtained temperature distribution, maximum temperature, and energy.

Note on Stochastic Orders through Length Biased Distributions

  • Choi, Jeen-Kap;Lee, Jin-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.243-250
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    • 1999
  • We consider $Y=X{\lambda}Z,\;{\lambda}>0$, where X and Z are independent random variables, and Y is the length biased distribution or the equilibrium distribution of X. The purpose of this paper is to consider the distribution of X or Y when the distribution of Z is given and the distribution of Z when the distribution of X or Y is given, In particular, we obtain that the necessary and sufficient conditions for X to be $X^{2}({\upsilon})\;is\;Z{\sim}X^{2}(2)\;and\;for\;Z\;to\;be\;X^{2}(1)\;is\;X{\sim}IG({\mu},\;{\mu}^{2}/{\lambda})$, where $IG({\mu},\;{\mu}^{2}/{\lambda})$ is two-parameter inverse Gaussian distribution. Also we show that X is smaller than Y in the reverse Laplace transform ratio order if and only if $X_{e}$ is smaller than $Y_{e}$ in the Laplace transform ratio order. Finally, we can get the results that if X is smaller than Y in the Laplace transform ratio order, then $Y_{L}$ is smaller than $X_{L}$ in the Laplace transform order, and that if X is smaller than Y in the reverse Laplace transform ratio order, then $_{\mu}X_{L}$ is smaller than $_{\nu}Y_{L}$ in the Laplace transform order.

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Equilibrium Bidding Strategy and Optimal Auction Design of Sequential Auction (축차경매의 평형입찰전략과 최적경매설계)

  • Kim, Yea-Gen;Park, Soon-Dal
    • Journal of the military operations research society of Korea
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    • v.14 no.1
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    • pp.63-83
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    • 1988
  • This study is concerned with the equilibrium bidding strategy and the optimal auction design of sequential auction with a reserve price and an entry fee. It is assumed that each bidder has a fixed reservation value and draws the reservation values of other bidders independently in the same distribution and may obtain at most one object to be sold. Under such assumptions, the sequential auction will be analyzed by the game theoretic approach. The purpose of this paper is, in the sequential auction, to find the equilibrium bidding strategy and to design the optimal auction under the equilibrium bidding strategy. The equilibrium bidding strategy and the optimal auction design are further analyzed with respect to change of the reserve price, the entry fee, and the number of bidders and objects. Specially, the auctioneer's expected revenue for each auction is obtained and analyzed.

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Equilibrium Bidding Strategy and Optimal Auction Design of Sequential Auction (축차경매의 평형입찰전략과 최적경매설계)

  • Kim, Yea-Gen;Park, Soon-Dal
    • Journal of the military operations research society of Korea
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    • v.13 no.2
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    • pp.63-83
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    • 1987
  • This study is concerned with the equilibrium bidding strategy and the optimal auction design of sequential auction with a reserve price and an entry fee. It is assumed that each bidder has a fixed reservation value and draws the reservation values of other bidders independently in the same distribution and may obtain at most one object to be sold. Under such assumptions, the sequential auction will be analyzed by the game theoretic approach. The purpose of this paper is, in the sequential auction, to find the equilibrium bidding strategy and to design the optimal auction under the equilibrium bidding strategy. The equilibrium bidding strategy and the optimal auction design are further analyzed with respect to change of the reserve price, the entry fee, and the number of bidders and objects. Specially, the auctioneer's expected revenue for each auction is obtained and analyzed.

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