• Title/Summary/Keyword: Four Parameter Beta

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DYNAMICAL BEHAVIOUR OF A DRINKING EPIDEMIC MODEL

  • Sharma, Swarnali;Samanta, G.P.
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.747-767
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    • 2013
  • In this paper we have constructed a mathematical model of alcohol abuse which consists of four compartments corresponding to four population classes, namely, moderate and occasional drinkers, heavy drinkers, drinkers in treatment and temporarily recovered class. Basic reproduction number $R_0$ has been determined and sensitivity analysis of $R_0$ indicates that ${\beta}1$ (the transmission coefficient from moderate and occasional drinker to heavy drinker) is the most useful parameter for preventing drinking habit. Stability analysis of the model is made using the basic reproduction number. The model is locally asymptotically stable at disease free or problem free equilibrium (DFE) $E_0$ when $R_0<1$. It is found that, when $R_0=1$, a backward bifurcation can occur and when $R_0>1$, the endemic equilibrium $E^*$ becomes stable. Further analysis gives the global asymptotic stability of DFE under some conditions. Our important analytical findings are illustrated through computer simulation. Epidemiological implications of our analytical findings are addressed critically.

Optimal Incentives for Customer Satisfaction in Multi-channel Setting (멀티채널에서의 고객만족제고 인센티브 연구)

  • Kim, Hyun-Sik
    • Journal of Distribution Research
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    • v.15 no.1
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    • pp.25-47
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    • 2010
  • CS is one of the major concerns of managers in the world because it is well known to be a key medium construct for firms' superior outcome. One of the major agents for CS management is retailers. Firms try to manage not only employees but also retailers to promote CS behaviors. And so diverse incentives are used to promote their CS behaviors under diverse channel setting such as multi-channel. However in spite of the rising needs there has been scarce studies on the optimal incentive structure for a manufacturer to offer competing retailers at the multi-channel. In this paper, we try to find better way for a manufacturer to promote the competing retailers' CS behaviors. We investigated how to promote the retailers' CS behavior via game-theoretic modeling. Especially, we focus on the possible incentive, CS bonus type reward introduced in the studies of Hauser, Simester, and Wernerfelt(1994) and Chu and Desai(1995). We build up a multi stage complete information game and derive a subgame perfect equilibrium using backward induction. Stages of the game are as following. (Stage 1) Manufacturer sets wholesale price(w) and CS bonus($\eta$). (Stage 2) Both retailers in competition set CS effort level($e_i$) and retail price($p_i$) simultaneously. (Stage 3) Consumers make purchasing decisions based on the manufacturer's initial reputation and retailers' CS efforts.

    Structure of the Model We investigated four issues about the topic as following: (1) How much total incentive is adequate for a firm of a specific level of reputation to promote retailers' CS behavior under multi-channel setting ?, (2) How much total incentive is adequate under diverse level of complimentary externalities between the retailers' CS efforts to promote retailers' CS behavior?, (3) How much total incentive is adequate under diverse level of cost to make CS efforts to promote retailers' CS behavior?, (4) How much total incentive is adequate under diverse level of competition between retailers to promote retailers' CS behavior? Our findings are as following. (1) The higher reputation has the manufacturer, the higher incentives for retailers at multi-channel are required in the equilibrium.
    shows the increasing pattern of optimal incentive level along the manufacturer's reputation level(a) under some parameter conditions(b=1/2;c=0;$\beta$=1/2). (2) The bigger complimentary externalities exists between the retailers' CS efforts, the higher incentives are required in the equilibrium.
    shows the increasing pattern of optimal incentive level along the complimentary externalities level($\beta$) under some parameter conditions(a=1;b=1/2;c=0). (3) The higher is the retailers' cost, the lower incentives are required in the equilibrium.
    shows the decreasing pattern of optimal incentive level along the cost level(c) under some parameter conditions(a=1;b=1/2;$\beta$=1/2). (4) The more competitive gets those two retailers, the higher incentives for retailers at multi-channel are required in the equilibrium.
    shows the increasing pattern of optimal incentive level along the competition level(b) under some parameter conditions(c=0;a=1;$\beta$=1/2). One of the major contribution points of this study is the fact that this study is the first to investigate the optimal CS incentive system under multi-channel setting.

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Optimum Rigger Locations for Highrise Braced Frames with Facade Riggers (여러 개의 파사드리거를 갖는 고층구조물에서 리거의 최적위치)

  • Jung, Dong-Jo;Yuk, Min-Hye;Lim, Byung-Taeg;Kim, Seok-Koo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.2
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    • pp.137-146
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    • 2007
  • Numerical analyses are performed to show the effect of stiffening facade riggers on the behavior of the structure and to investigate the optimum locations of facade riggers. Optimum locations of the facade riggers to minimize the drift at the top of the structure are obtained by maximizing the drift reduction caused by the facade riggers and are significantly influenced by the bending and shear stiffnesses of the braced frame and facade riggers. Three standard load cases of uniformal and triangularly distributed lateral loads as well as a lateral point load at the top of the structure are considered in this paper Optimum locations of facade riggers are plotted as functions of nondimensional relative stiffness parameters ${\omega}$ and ${\beta}$ for structures with one to four riggers. Although the analysis presented herein is based on certain simplifying assumptions, it is believed that the results do provide sufficiently accurate information for determining the optimum locations of facade riggers in highrise structures.

Bioequivalence of Cyclosporin A Hard Capsules (사이클로스포린 A 경질캅셀제에 대한 생물학적 동등성 평가)

  • 김종국;이은진;이미경;박준규;신희종;김인숙
    • Biomolecules & Therapeutics
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    • v.6 no.3
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    • pp.296-302
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    • 1998
  • The bioequivalence of two cyclosporin A products was evaluated in 26 normal male volunteers (age 25 ~33 yr, body weight 56~84 kg) following single oral administration. Test product was a hard capsule containing the granule of cyclosporin A (Chong Kun Dang Corp., Korea) and reference product, Sandimmun", was a soft capsule containing surfactant, oil, alcohol and cyclosporin A (Sandoz, Swiss). Both products contain 100 mg of cyclosporin A. Four capsules of the test and the reference product were administered to the volunteers, respectively, by randomized two period cross-over study (2$\times$2 Latin square method). Average drug concentrations at each sampling time and pharmacokinetic parameters were not significantly different between two products (p>0.05); the area under the concentration-time curve to last sampling time (24 hr) (AU $Co_{24}$) (5034.8$\pm$ 1760.6 vs 4635.4$\pm$ 1158.9 ng . h/ml), maximum plasma concentration ( $C_{max}$) (1002.7$\pm$353.1 vs 980. 4$\pm$ 171.7 ng/71), and mean residence time (MRT) (6.16$\pm$0.81 vs 5.64$\pm$0.50 h). The differences of mean AUC 7-,4,7~, T_ and MRT between the two products (7.93,2.22,16 and 8.39%, respectively) were less than 20% given as a guideline. The power (1-$\beta$) and treatment difference ($\Delta$) for AU $Co_{24}$, $C_{max}$ and MRT were more than 0.8 and less than 0.2, respectively. Although $T_{max}$ of the two products was significantly different each other (p<0.05), $T_{max}$ might be an insignificant parameter because cyclosporin A generally requires long-term administration. From these results, the two products are bioequivalent.alent.t.

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An Hourly Extreme Rainfall Outlook Using Climate Information (기상인자를 활용한 시단위 극치강우량 전망)

  • Kim, Yong-Tak;Hong, Min;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.14-14
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    • 2018
  • 세계의 여러 국가에서 과거 발생했던 강수의 통계적 특성에서 벗어나는 극치사상이 빈번하게 관측되고 있다. 이와 같은 현상에 가장 큰 영향을 미치고 있는 요인중 하나는 지구온난화이며 실제 산업화 이후 온실가스의 증가와 더불어 극한 기상현상의 발생 빈도가 증가하였다. 현재 예상치 못한 수문사상의 발생으로 인해 수자원관리에 있어서 많은 어려움을 겪고 있으며, 특히 호우사상은 막대한 인명 및 사회적 피해를 야기하고 있다. 우리나라의 경우 계절적 특징으로 여름철에 강수가 집중되는 양상을 보이고 있으며 따라서 여름철 강수량을 예측하여 호우에 대한 대비책을 마련해야한다. 계절강수 예측은 수문, 산림, 식품, 등을 포함한 사회 경제적 파급 효과가 매우 크지만 아직 신뢰성 있는 예측은 어려운 상태이다. 또한, 발생 강도와 빈도가 큰 극한 강우는 주로 짧은 시간에 걸쳐 발생하기 때문에 예측하기가 어렵다. 최근 다양한 분야의 연구에서 AO, NAO, ENSO, PDO등과 같은 외부적 요인이 수문학적 빈도를 변화시킨다고 알려지고 있어 본 연구에서는 Bayesian 통계기법을 이용한 비정상성 빈도해석모형을 토대로 외부 기상인자에 의한 변동성을 고려할 수 있는 계절강수량 예측모형을 구축한 후 산정된 결과를 입력 자료로 하여 극치강수량을 추정할 수 있는 비정상성 Four - Parameter (4P)-Beta분포를 이용한 알고리즘을 개발하여 직접적으로 일단위 이하의 극치강수량을 상세화 시킬 수 있는 모형으로 확장하여 이를 통해 기상변동성을 다양한 시간규모에서 고려하기 위한 정보로 활용하고자 하였다.

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Effects of the Dietary β-1,3 Glucan on Growth, Hematological and Body Composition in Juvenile Korean rockfish (Sebastes schlegeli) (치어기 조피볼락 사료내 β-1,3 글루칸의 첨가가 성장 혈액 및 전어체 조성에 미치는 영향)

  • Kim, Young-Chul;Kim, Kang-Woong;Park, Gun-Jun;Lee, Jun-Ho;Son, Maeng-Hyun;Bai, Sung-Chul C.
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.42 no.6
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    • pp.609-613
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    • 2009
  • This study was conducted to investigate the effects of dietary supplementation of $\beta$-1,3 glucan on growth, hematological and body composition in juvenile korean rockfish, Sebastes schlegeli fed the white fish meal based diets for 6 weeks. Four experimental diets were formulated to contain control (without supplementation of glucan), 0.05%, 0.1% and 0.5% (this diet was fed to fish daily, bi-weekly as three different dietary treatments) $\beta$-1,3 glucan per kg diet (Control, $D_{0.05}$, $D_{0.1}$, $D_{0.5}$, $B_{0.05}$, $B_{0.1}$, $B_{0.5}$). Fish averaging $4.0\pm0.1g$ (mean$\pm$SD) were randomly distributed in each aquarium as triplicate groups of 23 fish. Weight gain (WG, %) and specific growth rate (SGR, %) of fish fed $D_{0.5}$ diet were significantly lower than those of fish fed the other diets (P<0.05). Feed efficiency (FE) of fish fed $B_{0.05}$ diet was significantly higher than those of fish fed $D_{0.1}$, $D_{0.5}$, $B_{0.1}$ and $B_{0.5}$ diets (P<0.05). Protein efficiency ratio (PER) of fish fed $B_{0.05}$ diet was significantly higher than those of fish fed $D_{0.1}$ and $D_{0.5}$ diets (P<0.05). According to the results, the supplementation of 0.05% $\beta$-1,3 glucan daily and/or biweekly is optimum in juvenile Korean rockfish.

The Crystal and Molecular Structure of Sulfadiazine (Sulfadiazine의 結晶 및 分子構造)

  • Shin Hyun So;Ihn Gwon Shik;Kim Hoon Sup;Koo Chung Hoe
    • Journal of the Korean Chemical Society
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    • v.18 no.5
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    • pp.329-340
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    • 1974
  • Sulfadiazine, $C_{10}H_{10}N_4O_2S$, forms monoclinic crystals of space group $P21}c$ from a mixture of acetone and ethanol with $a=13.71{\pm}0.04,\;b=5.84{\pm}0.03,\;c=15.11{\pm}0.05{\AA},\;{\beta}=115.0{\pm}0.3^{\circ}$, and four molecules per cell. Three dimensional photographic data were collected with $CuK\alpha$ radiation. The structure was determined using Patterson and Fourier synthesis methods and refined by block diagonal least-squares methods with isotropic thermal parameter for all non-hydrogen atoms. The final R value was 0.15 for the 1517 observed independent reflections. The dihedral angle between the planes through the benzene ring and the pyrimidine ring is $76^{\circ}$. The conformational angle formed by the projection of the S-C(5) bond with that of N(1)-C(1) where the projection is taken along the S-N(1) bond is $77^{\circ}$. The imino nitrogen atom, N(1), and pyrimidine nitrogen atom, N(3), form intermolecular $N-H{\cdots}N$ hydrogen bond between the molecules related by center of symmetry. Amino nitrogen atom, N(4), forms two intermolecular $N-H{\cdots}O$ hydrogen bonds, with O(1) and O(2) atoms of different molecules separated by b. A two dimensional network of hydrogen bonds form infinite molecular sheets parallel to the (100) plane. Adjacent sheets are bound together by van der Waals forces.

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Total Dynamic Analysis of Deep-Seabed Integrated Mining System (심해저 광물자원 채광시스템의 통합거동 해석)

  • Kim, Hyung-Woo;Hong, Sup;Lee, Chang-Ho;Choi, Jong-Su;Yeu, Tae-Kyeong
    • Journal of Navigation and Port Research
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    • v.34 no.3
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    • pp.195-203
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    • 2010
  • This paper concerns about total dynamic analysis of integrated mining system. This system consists of vertical steel pipe, intermediate buffer station, flexible pipe and self-propelled miner. The self-propelled miner and buffer are assumed as rigid-body of 6-dof. Discrete models of vertical steel pipe and flexible pipe are adopted, which are obtained by means of lumped-parameter method. The motion of mining vessel is not considered. Instead, the motion of mining vessel is taken into account in form of various boundary conditions (e.g. forced excitation in slow motion and/or fast oscillation and so on). A terramechanics model of extremely cohesive soft soil is applied to the self-propelled miner. Hinged and ball constraints are used to define the connections between sub-systems (vertical steel pipe, buffer, flexible pipe, self-propelled miner). Equations of motion of the coupled model are derived with respect to the each local coordinates system. Four Euler parameters are used to express the orientations of the sub-systems. To solve the equations of motion of the total dynamic model, an incremental-iterative formulation is employed. Newmark-${\beta}$ method is used for time-domain integration. The total dynamic responses of integrated mining system are investigated.

Estimation of Markov Chain and Gamma Distribution Parameters for Generation of Daily Precipitation Data from Monthly Data (월 자료로부터 일 강수자료 생성을 위한 Markov 연쇄 및 감마분포 모수 추정)

  • Moon, Kyung Hwan;Song, Eun Young;Son, In Chang;Wi, Seung Hwan;Oh, Soonja;Hyun, Hae Nam
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.19 no.1
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    • pp.27-35
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    • 2017
  • This research was to elucidate the generation method of daily precipitation data from monthly data. We applied a combined method of Markov chain and gamma distribution function using 4 specific parameters of ${\alpha}$, ${\beta}$, p(W/W) and p(W/D) for generation of daily rainfall data using daily precipitation data for the past 30 years which were collected from the country's 23 meteorological offices. Four parameters, applied to use for the combination method, were calculated by maximum likelihood method in location of 23 sites. There are high correlations of 0.99, 0.98 and 0.98 in rainfall days, rainfall probability and mean amount of daily rainfall between measured and simulated data in case of those parameters. In case of using parameters estimated from monthly precipitation, correlation coefficients in rainfall days, rainfall probability and mean amount of daily rainfall are 0.84, 0.83 and 0.96, respectively. We concluded that a combination method with parameter estimation from monthly precipitation data can be applied, in practical purpose such as assessment of climate change in agriculture and water resources, to get daily precipitation data in Korea.