• Title/Summary/Keyword: Linear Demand Function

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A Comparison of the Goodness-of-Fit between Two Models of Expenditure Function: a Single-Equation Model versus a Complete- System-of-Demand-Equation Model (단일방정식과 관련방정식체계를 적용한 소비지출 함수의 모델 적합성 비교)

  • 황덕순;김숙향
    • Journal of Families and Better Life
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    • v.20 no.1
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    • pp.45-56
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    • 2002
  • The main purposes of this article are to introduce the theoretical backgrounds and empirical application methods of two different Models for the function of expenditure, and to compare the goodness-o(-fit of the two models: a single-equation model and a complete-system-of-demand-equation model. For the empirical analysis of the single-equation model, a linear formula and a double-leg formula were employed. In order to test the complete-system-of-demand-equation model empirically, the \"Linear Approximation/Almost Ideal Demand System (LA/AIDS)" was used. The independent variables were the total living expense and expenditure categories Price index. The data used in this study were obtained from the quarterly statistics of "The Annual Report on the Urban Family Income and Expenditure Survey (Dosigagyeyonbo)" and "The Annual Report on the Consumer Price Index (Sobijamulgajaryo)," for the years 1994 to 1997. The goodness-of-fit (R-square) was higher with the complete-system-of-demand-equation model than with the single-equation model for the budget share on food (excluding eating-out expenses) and for the share on cultural and recreational activities. However, there was no difference between the two models in terms of the proportion of the expenditure on automobile fuel.fuel.

The Optimal Pourer Flow Considering the Characteristics of Electric Pourer Consumers (전력소비자 특성을 고려한 최적조류계산)

  • 김문영;백영식;송경빈
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.2
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    • pp.107-113
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    • 2003
  • In a deregulated electric power market, a demand function to consider the characteristics of electric power consumers should be required. It is essential that the optimal power flow algorithm with object function of social welfare maximization using the demand function for a competitive electric power market is applied to resolve in a point of economic benefits as well as the security of power systems. Therefore, in this paper, we implement the optimization problem based on linear programming to consider the characteristics of electric power consumers using the demand function and analyze not only the nodal cost for generations and demands but also the variation of demands as a function of the characteristics of electric power consumers through numerical studies.

Estimating Demand Functions of Tractor, Combine and Rice Transplanter (트랙터, 콤바인, 이앙기의 수요 함수 추정)

  • Kim K.;Park C.K.;Kim K.U.;Kim B.G.
    • Journal of Biosystems Engineering
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    • v.31 no.3 s.116
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    • pp.194-202
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    • 2006
  • Using a multi-variable linear regression technique and SUR(seemingly unrelated regression) model, the demand functions of tractor, combine and rice transplanter were estimated. The demand was regarded as an annual supply of each machine and modeled as a function of 11 independent variables which reflect the actual farmer's income, actual prices of farm machines, previous supply, previous stock, actual amount of available subsidy, actual amount of available loan, arable land, import of farm machines and rice price. The actual amount of available loan affects most significantly the demand functions. The actual farmer's income, actual farmer's asset, loan coverage, and rice price affect the demand positively while prices of farm machines and import negatively. The annual demands of tractor, combine and rice transplanter estimated using the demand functions were also presented over the next 4 years.

Optimal Pricing and Ordering Policies with Price Dependent Demand Linearly under Order-Size-Dependent Delay in Payments

  • Shinn, Seong-whan
    • International Journal of Advanced Culture Technology
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    • v.9 no.2
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    • pp.91-99
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    • 2021
  • In Korea, some pharmaceutical companies and agricultural machine manufacturers associate the length of the credit period with the retailer's order size. This kind of commercial practice is based on the principle of economy of scale from the supplier's point of view and tends to make retailer's order size large enough to qualify a certain credit period break. Also, the credit period allowed by the supplier makes it possible to reduce the retail price expecting that the retailer can earn more profits by the stimulating the customer's demand. Since the retailer's order size is affected by the end customer's demand, it is reasonable to determine the retail price and the order size simultaneously. In this regard, this paper analyzes the retailer's problem who has to decide his sales price and order quantity from a supplier who offers different credit periods depending on his order size. And we show that the retailer's order size large enough to qualify a certain credit period break. Also, it is assumed that the end customer's demand rate is represented by a linear decreasing function of the retail price.

Rapid seismic vulnerability assessment by new regression-based demand and collapse models for steel moment frames

  • Kia, M.;Banazadeh, M.;Bayat, M.
    • Earthquakes and Structures
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    • v.14 no.3
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    • pp.203-214
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    • 2018
  • Predictive demand and collapse fragility functions are two essential components of the probabilistic seismic demand analysis that are commonly developed based on statistics with enormous, costly and time consuming data gathering. Although this approach might be justified for research purposes, it is not appealing for practical applications because of its computational cost. Thus, in this paper, Bayesian regression-based demand and collapse models are proposed to eliminate the need of time-consuming analyses. The demand model developed in the form of linear equation predicts overall maximum inter-story drift of the lowto mid-rise regular steel moment resisting frames (SMRFs), while the collapse model mathematically expressed by lognormal cumulative distribution function provides collapse occurrence probability for a given spectral acceleration at the fundamental period of the structure. Next, as an application, the proposed demand and collapse functions are implemented in a seismic fragility analysis to develop fragility and consequently seismic demand curves of three example buildings. The accuracy provided by utilization of the proposed models, with considering computation reduction, are compared with those directly obtained from Incremental Dynamic analysis, which is a computer-intensive procedure.

Analysis of marketing Channel competition in Electronic Commerce Incorporating Web Awareness (Web 인지도를 반영한 전자상거래 마케팅 채널 경쟁에 관한 연구)

  • 차춘남;조형래
    • Korean Management Science Review
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    • v.17 no.3
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    • pp.49-60
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    • 2000
  • The proliferation of electronic commerce(EC) has led manufactureres to consider Internet based marketing as a salient candidate for strategic diversification of marketing channel. In this case, each manufacturer can build its own Web store or rent an existing special EC store. Such decision making of ‘build’ or ‘rent’ can be analyzed by a game model which derives the Nash solutions for price and profit considering degree of competition with other competitive manufacturers. In this paper, to overcome the drawbacks of the traditional linear demand function, we first propose a new linear demand function which incorporates not only the price difference between competitive products but the awareness of Web stores perceived by the consumers, then design the game models to analyze the characteristics of three typical types of marketing channel in duopoly market. Based on the Nash solutions of the game models, we analyzed the effect of the degree of competition and Web awareness in selecting the optimal marketing channel.

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An approximation of the M/M/s system where customers demand random number of servers (고객(顧客)이 임의수(任意數)의 Server 를 원하는 M/M/s system 의 개산법(槪算法))

  • Kim, Seong-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.7 no.1
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    • pp.5-11
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    • 1981
  • In the case of numerical implementation, the exact solution method for the M/M/s system where customers demand multiple server use [2] reveals limitations, if a system has large number of servers or types of customers. This is due to the huge matrices involved in the course of the calculations. This paper offers an approximation scheme for such cases. Capitalizing the characteristics of the service rate curve of the system, this method approximates the service rate as a piecewise linear function. With the service rates obtained from the linear function for each number of customers n (n=0. 1. 2,$\cdots$), ${\mu}(n)$, steady-state probabilities and measures of performance are found treating this system as an ordinary M/M/s system. This scheme performs well when the traffic intensity of a system is below about 0.8. Some numerical examples are presented.

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Passenger Car Demand and Polarized Economic Development in Korea (양극화경제성장이 승용차수요에 미치는 영향)

  • Kim, Hyun-Chul
    • Communications for Statistical Applications and Methods
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    • v.17 no.6
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    • pp.767-777
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    • 2010
  • This paper investigates the relationship between the passenger car demand and business activities in the OECD. The positively linear relationships changed suddenly since 1990 and the reason was thought to be the polarized economic development of USA and Japan. The cases of other countries supports this conclusion. According to the conclusion, we modeled and estimated the car demand function of Korea.

A new practical equivalent linear model for estimating seismic hysteretic energy demand of bilinear systems

  • Samimifar, Maryam;Massumi, Ali;Moghadam, Abdolreza S.
    • Structural Engineering and Mechanics
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    • v.70 no.3
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    • pp.289-301
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    • 2019
  • Hysteretic energy is defined as energy dissipated through inelastic deformations during a ground motion by the system. It includes frequency content and duration of ground motion as two remarkable parameters, while these characteristics are not seen in displacement spectrum. Since maximum displacement individually cannot be the appropriate criterion for damage assessment, hysteretic energy has been evaluated in this research as a more comprehensive seismic demand parameter. An innovative methodology has been proposed to establish a new equivalent linear model to estimate hysteretic energy spectrum for bilinear SDOF models under two different sets of earthquake excitations. Error minimization has been defined in the space of equivalent linearization concept, which resulted in equivalent damping and equivalent period as representative parameters of the linear model. Nonlinear regression analysis was carried out for predicting these equivalent parameter as a function of ductility. The results also indicate differences between seismic demand characteristics of far-field and near-field ground motions, which are not identified by most of previous equations presented for predicting seismic energy. The main advantage of the proposed model is its independency on parameters related to earthquake and response characteristics, which has led to more efficiency as well as simplicity. The capability of providing a practical energy based seismic performance evaluation is another outstanding feature of the proposed model.

A Study on the Evaluation of Equilibrium Price between PSTN and VoIP Service (PSTN과 VoIP 서비스 간의 균형가격 도출에 관한 연구)

  • Yoon, Sang-Hum;Jin, Xiang-Hua;Park, Jong-Heon;Park, Young-Jun;Juhn, Jae-Ho;Ha, Gui-Ryong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.3
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    • pp.137-145
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    • 2010
  • The objective of this paper is to evaluate the equilibrium price between PSTN and VoIP telephony services in the case of non-linear utility function. Currently there are two types of wired phone services we are known PSTN (Public Switched Telephone Network) and VoIP (Voice over Internet Protocol). The PSTN telephony which provide high quality service and VoIP which provides relatively low quality service form a vertically differentiated oligopoly. Therefore, the evaluation of the equilibrium price between PSTN and VoIP services is very important to wired phone service providers. The equilibrium price depends on the state of the service cost function has been proved different value. This paper was evaluated each equilibrium price for the state of the linear cost function and non-linear cost function. Subsequently, this paper analyzed the demand of both services and the equilibrium profit which can maximize the profit of both service providers.