• 제목/요약/키워드: Cubic Cost Function

검색결과 19건 처리시간 0.025초

3차 비용함수에 의한 이익곡선 도출과 산업 라이프사이클의 수리적 검증: 우리나라 전 산업을 중심으로 (Derivation of Profit Curve by Cubic Cost Function and Mathematical Verification of Industry Life Cycle: Focused on All Industries in Korea)

  • 배후석;임채관
    • 품질경영학회지
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    • 제51권4호
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    • pp.481-496
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    • 2023
  • Purpose: The main theme of this study is to derive a profit curve by a cubic cost function for nonlinear CVP analysis. According to the analytical approach to derive a nonlinear profit function in this study, it is possible with only the existing cost structure to calculate the profit maximization and downtime point sales unlike the classical CVP analysis. Furthermore, the profit curve by the mathematical model of this study could serve as a tool to quantify the qualitative evaluation of each stage of the industry life cycle. Methods: This study followed the mathematical approach from the cubic cost function model of microeconomics, and using real data of the Bank of Korea Results: The nonlinear profit function suggested by this study is as follows; ${\pi}(x)=-a\left(x-\frac{f}{1-v}\right)^3+(1-v)x-k$ where $a=\frac{1}{3}v\left(\frac{(1-v)}{f}\right)^2,k=f-a\left(1-\frac{f}{1-v \right)^3$ Conclusion: The process and results of this study would be able to contribute not only in practice of nonlinear CVP analysis required in the management accounting or financial management, but also in cost theory of microeconomics. Also, since the life cycle of all industries in Korea was verified to the growth or mature stage, decision makers should pay careful attention to determining life cycle stages and consider the profit curve by the average variable cost ratio over multi periods.

Parametric Estimation of a Renewal Function

  • Jeong, Hai-Sung;Na, Myung-Hwan
    • International Journal of Reliability and Applications
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    • 제1권1호
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    • pp.81-87
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    • 2000
  • One of the most important quantities in reliability theory is the expected number of renewals of a system during a given interval. This quantity, the renewal function, is used to determine the optimal preventive maintenance policy and to estimate the cost of a warranty. In this paper we study a parametric approach for a renewal function. The simulation study is presented to compare the relative performance of the introduced estimators of a renewal function. And we show that the proposed parametric estimator performs well.

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3차 스플라인 보간법을 이용한 이동 객체의 위치 추정 (Location Prediction of Mobile Objects using the Cubic Spline Interpolation)

  • 안윤애;박정석;류근호
    • 한국정보과학회논문지:데이타베이스
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    • 제31권5호
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    • pp.479-491
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    • 2004
  • 이동 객체의 위치 정보는 차량 추적, 디지털 전장, 위치 기반 서비스, 텔레메틱스 등에 적용되며, 일정한 시간의 주기마다 측정된 위치 좌표가 시스템에 저장된다. 이 때 시스템에 저장되지 않은 질의 시점에서의 위치 정보를 추정하기 위해 선형 함수가 주로 사용된다. 그러나 선형 함수를 사용한 위치 추정에는 오차가 발생되므로, 위치 표현의 부정확성을 보완하기 위한 방법이 필요하다. 이 논문에서는 선형위치 추정 함수의 오차를 감소시키기 위해 3차 스플라인 보간법의 적용을 제안한다. 먼저 2차원 공간에서 이동하는 객체의 위치 정보를 정의한다. 다음으로 3차 스플라인 보간법을 제안한 데이타 모델의 위치 추정에 적용하고, 위치 추정 연산 알고리즘을 기술한다. 마지막으로 제안한 위치 추정 연산 모델의 정확성을 실험한다. 실험 결과, 이 논문에서 제안한 위치 추정 연산은 적은 량의 위치 정보를 사용함에도 불구하고, 선형 함수를 사용한 경우보다 더 정확한 결과를 나타내었다. 제안 방법은 이동 객체의 위치 정보 관리를 위한 데이타 저장공간 및 통신비용을 감소시키는 장점을 가진다.

Extraction of Optimal Operation Condition of QAM Envelope Tracking System using Combined Cost Function of Bandwidth and Efficiency

  • Kim, Changwook;Park, Youngcheol
    • 전기전자학회논문지
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    • 제22권4호
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    • pp.1019-1024
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    • 2018
  • In this paper, we suggest a combined cost function to find out the optimal operation of an envelope tracking system, and evaluated its performance with Quadrature Amplitude Modulation (QAM) waveform, with which envelope tracking coefficients for the peak drain efficiency and the bandwidth of power amplifiers are determined. Based on the classical envelope tracking theory, the operation of the supply modulator, which is a key part of the envelope tracking process, is modeled and analyzed mathematically. Then characteristics of the modulator by setting envelope shaping function as a cubic polynomial and sweeping the coefficients of this function was analyzed. By sweeping the coefficients, efficiency and bandwidth at each condition with 64-QAM signal was used to obtain optimal point of the supply modulator. Compared to the conventional shaping functions, the optimized function showed the bandwidth reduction by 12.7 percent point while the efficiency was maintained.

매개변수의 적응화를 통한 최적화된 3차 회선 보간 기법 (An Image Interpolation Using Optimized Cubic Convolution With Adaptive Parameter)

  • 박대현;유재욱;김윤
    • 컴퓨터교육학회논문지
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    • 제11권5호
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    • pp.57-66
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    • 2008
  • 본 논문에서는 낮은 해상도의 영상을 높은 해상도의 영상으로 보간하는 과정에서 각각의 픽셀에 대해 최적화된 매개변수를 적용하는 새로운 적응적 3차 회선 보간 기법을 제안한다. 기존의 3차 회선 보간 기법은 보간하려는 영상에 대해 동일한 매개변수를 적용하여 각 픽셀의 고유한 특성을 적응적으로 반영하지 못하였지만, 제안한 보간 기법은 픽셀의 정보에 따라 매개변수를 최적화하여 반영함으로써 주어진 영상을 고화질 영상으로 보간한다. 여러 가지 영상을 통해 본 논문에서 제안한 보간 기법과 기존에 알려진 보간 기법들을 비교하는 실험을 하였고, 도출된 실험 결과를 객관적인 지표로 제시하여 우수함을 입증하였다.

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웨이브렛변환 영상 부호화를 위한 다차원 큐빅 격자 구조 벡터 양자화 (Multidimensional uniform cubic lattice vector quantization for wavelet transform coding)

  • 황재식;이용진;박현욱
    • 한국통신학회논문지
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    • 제22권7호
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    • pp.1515-1522
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    • 1997
  • Several image coding algorithms have been developed for the telecommunication and multimedia systems with high image quality and high compression ratio. In order to achieve low entropy and distortion, the system should pay great cost of computation time and memory. In this paper, the uniform cubic lattice is chosen for Lattice Vector Quantization (LVQ) because of its generic simplicity. As a transform coding, the Discrete Wavelet Transform (DWT) is applied to the images because of its multiresolution property. The proposed algorithm is basically composed of the biorthogonal DWT and the uniform cubic LVQ. The multiresolution property of the DWT is actively used to optimize the entropy and the distortion on the basis of the distortion-rate function. The vector codebooks are also designed to be optimal at each subimage which is analyzed by the biorthogonal DWT. For compression efficiency, the vector codebook has different dimension depending on the variance of subimage. The simulation results show that the performance of the proposed coding mdthod is superior to the others in terms of the computation complexity and the PSNR in the range of entropy below 0.25 bpp.

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지역냉방 열원의 수요모형에 관한 연구 (A Study on the Demand Modelling for District Cooling Energy Source)

  • 김진형;최병렬
    • 자원ㆍ환경경제연구
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    • 제11권4호
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    • pp.633-657
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    • 2002
  • This study presents a demand modelling for landfill gas, which is used as alternative energy source for district cooling business. By analyzing the cost minimizing behavior of producer facing with three alternative energy sources such as electricity, cooling heat water, and gas, a demand function for landfill gas is derived from the optimal operating time of gas fired production facility, and estimated using unpublished data, which are associated with Seoul city's development plan for Sang-am area. The estimation results repeals that Seoul City could supply the land-fill gas of 13.76 million cubic meters each year at the price of about 16 won per cubic meters. However, if the investment costs associated with installation of gas collecting facilities are treated as sunk costs, annual amount of gas supplied is expected to increase to 14.22 million cubic meters at a lower unit price of 14.76 won.

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현재의 공정조건을 향상시키기 위한 혼합물 반응표면 방법론 (Mixture response surface methodology for improving the current operating condition)

  • 임용빈
    • 품질경영학회지
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    • 제38권3호
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    • pp.413-424
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    • 2010
  • Mixture experiments involve combining ingredients or components of a mixture and the response is a function of the proportions of ingredients which is independent of the total amount of a mixture. The purpose of the mixture experiments is to find the optimum blending at which responses such as the flavor and acceptability are maximized. We assume the quadratic or special cubic canonical polynomial model over the experimental region for a mixture since the current mixture is assumed to be located in the neighborhood of the optimal mixture. The cost of the mixture is proportional to the cost of the ingredients of the mixture and is the linear function of the proportions of the ingredients. In this paper, we propose mixture response surface methods to develop a mixture such that the cost is down more than ten percent as well as mean responses are as good as those from the current mixture. The proposed methods are illustrated with the well known the flare experimental data described by McLean and Anderson(1966).

소형 이동 로봇의 실시간 경로계획과 영상정보에 의한 추적제어 (A study on real-time path planning and visual tracking of the micro mobile robot)

  • 김은희;오준호
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 춘계학술대회 논문집
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    • pp.25-29
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    • 1997
  • In this thesis, we construct the microrobot succor system and navigate the real-time path planning and visual tracking of each robot. The system consists robots, vision system and a host computer. Because the robots are free-ranging mobile robot, it is needed to make and gallow the path. The path is planned and controlled by a host computer, ie. Supervisory control system. In path planning, we suggest a cost function which consists of three terms. One is the smoothness of the path, another is the total distance or time, and the last one is to avoid obstacles. To minimize the cost function, we choose the parametric cubic spline and update the coefficients in real time. We perform the simulation for the path planing and obstacle avoidance and real experiment for visual tracking

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L형(型) 주물응고(鑄物凝固)에 대한 Computer Simulation (Computer Simulation of Solidification in L-Sections)

  • 한윤희;김명한;김동옥
    • 한국주조공학회지
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    • 제5권2호
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    • pp.125-136
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    • 1985
  • The most desirable method for the solution of solidification problems in castings must be the one which combines accuracy, simplicity, and low computer usage cost. The purpose of the present study is to develop a method which includes all these advantages. The purpose of the present research was approached by the introduction of two methods: (1) A pour-out test, employed with very high purity aluminum, for the purpose of obtaining accurate solidification data in L-sections; and (2) an numerical technique, using the cubic spline function for defining solidification curves.

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