• 제목/요약/키워드: simultaneous equations

검색결과 295건 처리시간 0.024초

복점시장에서 신상품의 동태적 최적가격설정에 관한 연구 (Dynamic Optimal Pricing for New Products in a Duopoly)

  • 전덕빈;최리군
    • 대한산업공학회지
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    • 제23권3호
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    • pp.545-557
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    • 1997
  • This paper deals with dynamic optimal pricing for new products by a firm which maximizes the discounted profit stream of it's own in a duopoly. The problem is constructed as differential games and dynamic optimization theory. Cost is assumed to decline as time goes on. A modified customer's choice model is formulated as a diffusion model and we solve a dynamic optimization problem by adopting the diffusion model. Since this paper focus on deriving real prices not showing a time trend, we formulate recursive form equations of costate variables(shadow price) and a simultaneous equation of price. Hence we derive a dynamic optimal pricing model for using in real market. In particular, we construct a dynamic optimal pricing model in the case that there are benefits from not only new subscribers but also previous subscribers. We analyze instant camera market in U.S.A(1976-1985) by utilizing the above model.

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훅조인트로 연결된 축계의 비선형 비틀림 진동 : 조합공진의 경우 (Nonlinear Torsional Oscillations of a System Incorporating a Hooke's Joint : Combination Resonances)

  • 장서일
    • 한국소음진동공학회논문집
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    • 제15권6호
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    • pp.706-711
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    • 2005
  • Torsional oscillations of a system incorporating a Hooke's joint are investigated by studying a simple similar nonlinear 2-degree-of-freedom model, which has linear and quadratic nonlinear parametric excitations. The simple system is identified to have the possibilities of primary, sub harmonic and combination resonances. The case of simultaneous primary and combination resonances is selected for perturbation analysis to have the reduced amplitude-equations of motion. The same procedure is applied to the system incorporating a Hooke's joint.

An Estimation Of Average Current Velocity In The Western Channel Of The Korea Strait From Mean Sea Level Data

  • Lee, Jae Chul;Jung, Chang Hee
    • 한국해양학회지
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    • 제12권2호
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    • pp.67-74
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    • 1977
  • With the serial observation data and the tidal records at Busan and Izuhara from 1966 to 1973, the geostrophic current velocity and its relation to the difference of mean sea level of both sides were studied in order to estimate indirectly the average current velocity from the tidal observations. The results shows that the current velocity is estimated by the relationship V=4.016(H-98.3) with the 95% confidence limits of V 4.2 cm/sec. Ther relationship between the observed current velocity and the simultaneous daily mean sea level difference shows a similar result, V=4.717(H-99.6). The two equations were applied to the evaluation of annual variations of current velocity from the average monthly mean sea level data of both stations.

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Dynamic analysis of a magneto-electro-elastic material with a semi-infinite mode-III crack under point impact loads

  • Feng, Wenjie;Liu, Jinxi
    • Structural Engineering and Mechanics
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    • 제27권5호
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    • pp.609-623
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    • 2007
  • The problem of a semi-infinite magneto-electro-elastically impermeable mode-III crack in a magneto-electro-elastic material is considered under the action of impact loads. For the case when a pair of concentrated anti-plane shear impacts, electric displacement and magnetic induction impacts are exerted symmetrically on the upper and lower surfaces of the crack, the magneto-electro-elastic field ahead of the crack tip is determined in explicit form. The dynamic intensity factors and dynamic energy density factor are obtained. The method adopted is to reduce the mixed initial-boundary value problem, by using the Laplace and Fourier transforms, into three simultaneous dual integral equations, one of which is converted into an Abel's integral equation and the others into a singular integral equation with Cauchy kernel. Based on the obtained fundamental solutions of point impact loads, the solutions of two kinds of different loading cases are evaluated by integration. For some particular cases, the present results reduce to the previous results.

고정도 천체력 S/W 개발(I) (S/W DEVELOPMENT OF HIGH PRECESION EPHEMERIS(I))

  • 안영숙;신종섭;박필호;박온광;이정숙
    • Journal of Astronomy and Space Sciences
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    • 제10권2호
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    • pp.152-162
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    • 1993
  • 이 연구에서는 태양계 천체들의 운동에 대한 역학 모델을 설정하고, 그에 적합한 운동 방정식을 수치 적분하여 임의의 시각에 각 행성과 달의 위치를 계산할 수 있도록 하였다. 이때 역학 모델에는 (1) 점질량 상호작용, (2) 지구와 달의 중력 포텐셜에 의한 figure효과, (3) 조석력, (4) 지구와 달의 orientation 등에 의한 섭동력 등을 모두 고려하였다. 그리고 이 프로그램을 이용해 계산한 결과를 미국의 JPL에서 생산한 DE200 자료와 비교 분석하였다.

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Acrosswind aeroelastic response of square tall buildings: a semi-analytical approach based of wind tunnel tests on rigid models

  • Venanzi, I.;Materazzi, A.L.
    • Wind and Structures
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    • 제15권6호
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    • pp.495-508
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    • 2012
  • The present paper is focused on the prediction of the acrosswind aeroelastic response of square tall buildings. In particular, a semi-analytical procedure is proposed based on the assumption that square tall buildings, for reduced velocities corresponding to operational conditions, do not experience vortex shedding resonance or galloping and fall in the range of positive aerodynamic damping. Under these conditions, aeroelastic wind tunnel tests can be unnecessary and the response can be correctly evaluated using wind tunnel tests on rigid models and analytical modeling of the aerodynamic damping. The proposed procedure consists of two phases. First, simultaneous measurements of the pressure time histories are carried out in the wind tunnel on rigid models, in order to obtain the aerodynamic forces. Then, aeroelastic forces are analytically evaluated and the structural response is computed through direct integration of the equations of motion considering the contribution of both the aerodynamic and aeroelastic forces. The procedure, which gives a conservative estimate of the aeroelastic response, has the advantage that aeroelastic tests are avoided, at least in the preliminary design phase.

Counter-examples and dual operator algebras with properties $(A_{m,n})$

  • Jung, Il-Bong;Lee, Hung-Hwan
    • 대한수학회지
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    • 제31권4호
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    • pp.659-667
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    • 1994
  • Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ be the algebra of all bounded linear operators on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $I_H$ and is closed in the ultraweak operator topology on $L(H)$. Note that the ultraweak operator topology coincides with the weak topology on $L(H) (cf. [6]). Several functional analysists have studied the problem of solving systems of simultaneous equations in the predual of a dual algebra (cf. [3]). This theory is applied to the study of invariant subspaces and dilation theory, which are deeply related to the classes $A_{m,n}$ (that will be defined below) (cf. [3]). An abstract geometric criterion for dual algebras with property $(A_{\aleph_0}, {\aleph_0})$ was first given in [1].

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소형 흡착식 제습기의 모델 개발 (Modelling of a Small Domestic Solid Desiccant Dehumidifier)

  • 김동선
    • 융복합기술연구소 논문집
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    • 제2권2호
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    • pp.40-48
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    • 2012
  • A small domestic desiccant dehumidifier is modelled using effectiveness models for a desiccant wheel and a wet-air condenser. The desiccant wheel and condenser models are used to compose a system model in the form of a set of simultaneous linear algebraic equations, which is solved by Gauss method. The system model is used to simulate the behaviour of a dehumidifier with a 1kW electric air heater. It is found that the maximu COP is about 0.5 and dehumidification capacity is 18kg/day when the ratio of dehumidification area is 0.7. The optimum wheel thickness and face velocity are found 100mm and 1.5m/s, respectively.

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전력시장에서 수력발전기의 입찰전략 분석 (Analysis on a Bidding Strategy of the Hydro Generation in an Electricy Market)

  • 신재홍;이광호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 A
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    • pp.807-809
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    • 2005
  • This paper addresses the bidding strategies of a hydro generator in an electricity market, and their effect on the electricity market in accordance with some parameters: the water volume, the demand elasticity, and the hydro unit performance. The competition of a hydro generator is formulated as a hi-level optimization problem, and the solving scheme for the equilibrium condition is proposed as a set of nonlinear simultaneous equations. The equilibrium of the oligopolistic model is evaluated by comparison with that of a perfect competition model from the viewpoint of a market power.

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가정용 전기냉장고의 냉동사이클 전산해석(I) (Numerical Prediction of the Performance of Refrigeration Cycle in a Domestic Refrigerator/Freezer(I))

  • 한인철;박진구
    • 설비공학논문집
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    • 제4권4호
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    • pp.277-288
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    • 1992
  • Numerical simulations are made of the refrigeration cycle in a domestic refrigerator/freezer. The main purpose of the present study is to predict the steady-state cycle performance with various specifications of cycle components and cabinet under the continuous running conditions. The detailed mathematical models are constructed for both the cycle components and cabinet, which are strongly coupled with each other. The simultaneous equations are solved by simple iteration method, and the results obtained are examined to assess the effect of the cycle components and cabinet modification on the system performance.

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