• 제목/요약/키워드: Piecewise Linear Cost Function

검색결과 11건 처리시간 0.026초

Piecewise Linear 비용함수의 최소화를 위한 가상 네트워크 매핑 알고리즘 (Virtual Network Mapping Algorithm for Minimizing Piecewise Linear Cost Function)

  • 평찬규;백승준
    • 한국통신학회논문지
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    • 제41권6호
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    • pp.672-677
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    • 2016
  • 인터넷의 발전은 네트워크 기술과 응용의 확장적 배치와 더불어 성공적으로 고무되어 왔다. 하지만, 요즘에는 인터넷의 사용은 심각한 트래픽 과부하를 야기 시킨다. 따라서, 우리는 효율적인 자원 할당을 위해 네트워크 가상화의 지속적인 연구와 발전이 필요하다. 본 논문은 Piecewise Linear 비용함수를 이용한 비용 최소화 가상 네트워크 매핑 알고리즘을 제안 한다. 노드 매핑에는 선형 프로그래밍을 이용한 알고리즘과 D-VINE을 이용하였고, 링크 매핑에는 선형 프로그래밍 솔루션을 기반으로 최단 경로 알고리즘을 이용하였다. 이와 같은 방법으로 네트워크상에서 Linear와 Tree 구조로 형성된 VN request의 도착률에 따른 평균 비용을 ViNEYard와 비교 분석하였다. 시뮬레이션 구현을 통해 우리의 알고리즘이 ViNEYard 을 사용할 때 보다 발생하는 평균 비용이 낮음을 확인할 수 있었다.

기동정지계획을 위한 경제급전 알고리즘 (Economic Dispatch Algorithm for Unit Commitment)

  • 박정도;이용훈;김구한;문영현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 C
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    • pp.1506-1509
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    • 1999
  • This paper presents a new economic dispatch algorithm to improve the unit commitment solution while guaranteeing the near optimal solution without reducing calculation speed. The conventional economic dispatch algorithms have the problem that it is not applicable to the unit commitment formulation due to the frequent on/off state changes of units during the unit commitment calculation. Therefore, piecewise linear iterative method have generally been used for economic dispatch algorithm for unit commitment. In that method, the approximation of the generator cost function makes it hard to obtain the optimal economic dispatch solution. In this case, the solution can be improved by introducing a inverse of the incremental cost function. The proposed method is tested with sample system. The results are compared with the conventional piecewise linear iterative method. It is shown that the proposed algorithm yields more accurate and economical solution without calculation speed reduction.

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선형정보를 이용한 고해상도 광학영상과 SAR 영상 간 기하보정 (Registration between High-resolution Optical and SAR Images Using linear Features)

  • 한유경;김덕진;김용일
    • 대한원격탐사학회지
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    • 제27권2호
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    • pp.141-150
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    • 2011
  • 다중센서자료를 동시에 활용하기 위해서는 센서 간의 정밀한 기하보정이 요구된다. 이에 본 연구에서는 선형정보를 추출하여 고해상도의 광학영상과 SAR 영상 간의 기하보정을 수행하는 것을 목적으로 한다. 이를 위해 기준영상과 대상영상에 대하여 수동으로 매칭쌍을 추출하여 두 영상 간의 좌표체계를 개략적으로 일치시켜주는 과정을 전처리로 수행하였다. 방사적 특성이 다른 두 영상에 대하여 Canny edge operator를 통해 선형 화소를 추출한 뒤, 비용함수를 구성하여 유사하다고 생각되는 점을 초기 매칭쌍으로 선정하고, 그 중에서 이상치로 판단되는 오매칭쌍을 제거하고 남은 대상을 최종 매칭쌍으로 추출하였다. 본 기법을 통해 영상 전역에 걸쳐서 고르게 분포된 다수의 매칭쌍을 추출할 수 있었을 뿐만 아니라, 고도가 높거나 고도 변화가 큰 지역적 특성으로 인해 지리적 위치오차를 포함하는 지역에서 추출된 매칭쌍을 효과적으로 제거할 수 있었다. 최종적으로 추출된 매칭쌍을 이용하여 piecewise linear function과 affine transformation을 결합한 새로운 변환모델식을 적용하여 기하보정 정확도를 높이고자 하였고, 수동으로 추출된 검사점을 통해 1.58의 RMSE 값을 도출하였다.

Security Cost Analysis with Linear Ramp Model using Contingency Constrained Optimal Power Flow

  • Lyu, Jae-kun;Kim, Mun-Kyeom;Park, Jong-Keun
    • Journal of Electrical Engineering and Technology
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    • 제4권3호
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    • pp.353-359
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    • 2009
  • This paper proposes a novel technique for calculating the security costs that properly includes ramping constraints in the operation of a deregulated power system. The ramping process is modeled by a piecewise linear function with certain assumptions. During this process, a ramping cost is incurred if the permissible limits are exceeded. The optimal production costs of the power producers are calculated with the ramping cost included, considering a time horizon with N-1 contingency cases using contingency constrained optimal power flow (CCOPF), which is solved by the primal-dual interior point method (PDIPM). A contingency analysis is also performed taking into account the severity index of transmission line outages and its sensitivity analysis. The results from an illustrative case study based on the IEEE 30-bus system are analyzed. One attractive feature of the proposed approach is that an optimal solution is more realistic than the conventional approach because it satisfies physical constraints, such as the ramping constraint.

공정평균(工程平均)의 목표치(目標値)가 주어진 경우 규격한계(規格限界)의 경제적(經濟的) 선정(選定) (Economic Selection of Specification Limits for a Given Target Value)

  • 류문찬
    • 대한산업공학회지
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    • 제15권2호
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    • pp.57-64
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    • 1989
  • An Economic selection of specification limits is considered for a given target value in a complete inspection plan. Each item is inspected, and if it meets the specification, it is accepted. Items less than the lower specification limit are scrapped or sold at a reduced price, and those greater than the upper specification limit are reworked. Cost factors to be considered are economic loss caused by quality deviations, rework cost and scrapping cost. Methods for finding the optimal specification limits are given for the cases of piecewise linear loss function and quadratic loss function with illustrative examples.

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입찰함수에 의한 전력거래에서의 최적조류 계산에 의한 혼잡비용 처리연구 (A Study on the Congestion Management by OPF in the Electricity Power Market with the Bidding Function)

  • 김광호;정재옥
    • 대한전기학회논문지:전력기술부문A
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    • 제49권8호
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    • pp.374-379
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    • 2000
  • The nodal marginal cost and the congestion charge are used as the econimic signals for the electricity price and new invetments in deregulated power systems. In this paper, the nodal marginal cost and the congestion charge are calculated by using the shadow prices resulted from the calculation of Optimal Power Flow(OPF). Linearization of inequality constraints and piecewise linear cost functions make an OPF problem LP-based forms. In order to use the shadow price, the Interior Point(IP) algorithm is applied as a solution technique to the formulation. This paper proposes an algorithm to determine efficients initial points which are guaranteed to be interior points.

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Economic Decision of Specification Limits for a Ham Production Process - An Industrial Case Study -

  • Cha, Young-Joon;Hong, Yeon-Woong;Lee, Jae-Man
    • Journal of the Korean Data and Information Science Society
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    • 제16권4호
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    • pp.943-949
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    • 2005
  • An economic design of specification limits for production process of ham is considered for a given process mean in a complete inspection plan. Each ham is inspected, and if it meets the specification, it is accepted. The ham less than the lower specification limit are changed another products or at a discounted price, and those greater than the upper specification limit are reworked. A profit model is developed which involves selling price, production cost, rework cost and the cost which is incurred by imperfect quality. Methods for finding the optimal specification limits are derived for the case of piecewise linear loss function with an industrial case study.

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재난 구호품의 효과적 분배를 위한 혼합정수계획 모형 (A Mixed-Integer Programming Model for Effective Distribution of Relief Supplies in Disaster)

  • 김흥섭
    • 산업경영시스템학회지
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    • 제44권1호
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    • pp.26-36
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    • 2021
  • The topic of this study is the field of humanitarian logistics for disaster response. Many existing studies have revealed that compliance with the golden time in response to a disaster determines the success or failure of relief activities, and logistics costs account for 80% of the disaster response cost. Besides, the agility, responsiveness, and effectiveness of the humanitarian logistics system are emphasized in consideration of the disaster situation's characteristics, such as the urgency of life-saving and rapid environmental changes. In other words, they emphasize the importance of logistics activities in disaster response, which includes the effective and efficient distribution of relief supplies. This study proposes a mathematical model for establishing a transport plan to distribute relief supplies in a disaster situation. To determine vehicles' route and the amount of relief for cities suffering a disaster, it mainly considers the urgency, effectiveness (restoration rate), and uncertainty in the logistics system. The model is initially developed as a mixed-integer nonlinear programming (MINLP) model containing some nonlinear functions and transform into a Mixed-integer linear programming (MILP) model using a logarithmic transformation and piecewise linear approximation method. Furthermore, a minimax problem is suggested to search for breakpoints and slopes to define a piecewise linear function that minimizes the linear approximation error. A numerical experiment is performed to verify the MILP model, and linear approximation error is also analyzed in the experiment.

수직통합 의사결정을 위한 계량분석모형 (A mathematical planning model for vertical integration)

  • 문상원
    • 경영과학
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    • 제10권1호
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    • pp.193-205
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    • 1993
  • This paper presents a mathematical model for a class of vertical integration decisions. The problem structure of interest consists of raw material vendors, components suppliers, components processing plants, final product (assembly) plants and external components buyers. Economic feasibility of operating components plants instead of keeping outside suppliers is our major concern. The model also determines assignment of product lines and production volumes to each open plant considering the cost impacts of economies of scale and plant complexity. The problem formulation leads to a concave, mixed integer mathematical program. Given the state of the art of nonlinear programming techniques, it is often not possible to find global optima for reasonably sized such problems. We developed an optimization solution algorithm within the framework of Benders decomposition for the case of a piecewise linear concave cost function. It is shown that our algorithm generates optimal solutions efficiently.

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혼합정수계획법에 의한 열병합발전설비의 최적운용 (Optimum Operational Schedule for Cogeneration Systems using the Mixed Integer Programming)

  • 차재상
    • 조명전기설비학회논문지
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    • 제16권5호
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    • pp.75-82
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    • 2002
  • 본 논문에서는 열병합발전설비의 최적운용계획을 위한 새로운 수리적 모델을 제안하였다. 본 논문에서 제안한 알고리즘은 에너지생산량에 따른 비용의 비선형적인 문제를 구간별로 선형화된 함수를 이용하여 혼합정수 계획법으로 모델링하였다. 제안한 수리적 모델은 종래 제시되었던 열병합발전설비의 최적운용을 위한 모델링 기법에서 해결하지 못했던 한계사항을 극복한 것으로서, 더욱 현실에 근접한 최적운용을 위한 모델이 되었다. 또한 본 연구에서는 시뮬레이션을 통해 다양한 사례에 대한 열병합발전설비의 최적 운용계획을 제시함으로서 수리적 모델의 유용성을 입증하였다.