• 제목/요약/키워드: Linear Programming Model

검색결과 448건 처리시간 0.028초

대입수능 선택과목 점수조정을 위한 선형계획모형 개발 및 활용 (A Linear Programming Model to the Score Adjustment among the CSAT Optional Subjects)

  • 남보우
    • 경영과학
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    • 제28권1호
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    • pp.141-158
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    • 2011
  • This study concerns with an applicability of the management science approach to the score adjustment among the College Scholastic Aptitude Test(CSAT) optional subjects. A linear programming model is developed to minimize the sum of score distortions between optional subjects. Based on the analysis of the 377,089 CSAT(2010) applicants' performances in social science test section, this study proposes a new approach for the score equating or linking method of the educational measurement theory. This study makes up for the weak points in the previous linear programming model. First, the model utilize the standard score which we can get. Second, the model includes a goal programming concept which minimizes the gap between the adjusting goal and the result of the adjustment. Third, the objective function of the linear programing is the weighted sum of the score distortion and the number of applicants. Fourth, the model is applied to the score adjustment problem for the whole 11 optional subjects of the social science test section. The suggested linear programming model is a generalization of the multi-tests linking problem. So, the approach is consistent with the measurement theory for the two tests and can be applied to the optional three or more tests which do not have a common anchor test or a common anchor group. The college admission decision with CSAT score can be improved by using the suggested linear programming model.

신재생에너지 단독주택 모델 냉방운전의 선형계획법 기반 운전 최적화 연구 (Optimal Cooling Operation of a Single Family House Model Equipped with Renewable Energy Facility by Linear Programming)

  • 신영기;김의종;이경호
    • 설비공학논문집
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    • 제29권12호
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    • pp.638-644
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    • 2017
  • Optimal cooling operation algorithm was developed based on a simulation case of a single family house model equipped with renewable energy facility. EnergyPlus simulation results were used as virtual test data. The model contained three energy storage elements: thermal heat capacity of the living room, chilled water storage tank, and battery. Their charging and discharging schedules were optimized so that daily electricity bill became minimal. As an optimization tool, linear programming was considered because it was possible to obtain results in real time. For its adoption, EnergyPlus-based house model had to be linearly approximated. Results of this study revealed that dynamic cooling load of the living room could be approximated by a linear RC model. Scheduling based on the linear programming was then compared to that by a nonlinear optimization algorithm which was made using GenOpt developed by a national lab in USA. They showed quite similar performances. Therefore, linear programming can be a practical solution to optimal operation scheduling if linear dynamic models are tuned to simulate their real equivalents with reasonable accuracy.

태양광 발전 소재 생산계획을 위한 선형계획 모형 (A Linear Programming Model for Production Planning of Photovoltaic Materials)

  • 이선종;이현철;김재희
    • 경영과학
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    • 제32권4호
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    • pp.19-28
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    • 2015
  • This study presents a mathematical programming model to develop production planning in the manufacturing processes for photovoltaic silicon ingots and wafers. The model is formulated as a linear programming model that maximizes total growth margin, which is composed of production cost, inventory cost, shortage cost, and sales profit while considering the constraints associated with the production environments of photovoltaic materials. In order to demonstrate the utility of the model for production planning, we run operations for a planning horizon of a year for a case study. When the primary results of this mathematical programming are compared with the historical records, the model could have resulted in the considerable increase of the total growth margin by effectively reducing inventory cost if a decision maker had employed the model as a decision support system with perfect information for sales demand.

삼림경영계획(森林經營計劃)을 위한 새로운 접근법(接近法) : 퍼지 다목표선형계획법(多目標線型計劃法) (A New Approach for Forest Management Planning : Fuzzy Multiobjective Linear Programming)

  • 우종춘
    • 한국산림과학회지
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    • 제83권3호
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    • pp.271-279
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    • 1994
  • 본(本) 논문(論文)에서는 인공조림임분경영계획(人工造林林分經營計劃) 문제를 해결하기 위하여 임업(林業)에서 최근 새롭게 적용되고 있는 퍼지 다목표(多目標) 선형계획법(線型計劃法)을 소개한다. 우선 퍼지 집합이론(集合理論)이 간략하게 설명되고 퍼지 선형계획법(線型計劃法) 및 퍼지 다목표 선형계획법이 개념적으로 소개된다. 그 다음 연구대상지역의 자료를 분석하여 표준적(標準的) 선형계획(線型計劃)모델이 구성되고 이 모델의 컴퓨터 계산에 의해 4개의 목재가격(木材價格) 범위에 대한 최적해(最適解)(순현재가(純現在價))가 각각 계산된다. 이 선형계획모델은 불확실한 4개의 목재가격정보를 조정하기 위해서 퍼지 다목표(多目標) 선형계획(線型計劃)모델로 재구성된다. 그리고 이 퍼지 모델의 계산에 의해 절충최적해(折衷最適解)가 얻어지게 된다. 4개의 목재가격 범위에 대해 얻어진 4개의 최적해와 하나의 절충최적해가 비교(比較)되고 논의(論議)된다.

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한국고속철도를 위한 차량운용 및 할당시스템 (KTX Trainset Maintenance Routing and Allocation System for Korea High-Speed Rail)

  • 홍순흠;김성호
    • 한국철도학회논문집
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    • 제8권5호
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    • pp.391-397
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    • 2005
  • In this paper we present a model for the maintenance routing construction and the trainset allocation (maintenance routing problem). The model solves the maintenance routing problem using column generation algorithm which was used to combine constraint programming and linear programming. Ilog-cplex was used to solve the linear programming model and Ilog-solver was used to solve the constraint programming model. The computational experience is also provided.

Duality in non-linear programming for limit analysis of not resisting tension bodies

  • Baratta, A.;Corbi, O.
    • Structural Engineering and Mechanics
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    • 제26권1호
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    • pp.15-30
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    • 2007
  • In the paper, one focuses on the problem of duality in non-linear programming, applied to the solution of no-tension problems by means of Limit Analysis (LA) theorems for Not Resisting Tension (NRT) models. In details, one demonstrates that, starting from the application of the duality theory to the non-linear program defined by the static theorem approach for a discrete NRT model, this procedure results in the definition of a dual problem that has a significant physical meaning: the formulation of the kinematic theorem.

기존 농업용 저수지에서의 유효저수량의 평가 (Evaluation of the Effective Storage of Existing Agricultural Reservoir)

  • 안태진;조동호;이상호;최계윤;윤용남
    • 한국수자원학회논문집
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    • 제37권5호
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    • pp.353-361
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    • 2004
  • 농업용 저수지의 유효저수량은 물수지 분석을 근거고 한 저수지 모의 운영을 통하여 결정하고 있다. 유역은 유출량에 관하여 고유한 특성을 갖고 있으므로 저수지에서 유효저수량의 결정은 유역으로부터의 유출량을 근거로 하는 것이 타당하다. 본 연구에서는 유역의 유출량을 근거로 한 추계학적 선형계획모형을 정립하고 저수지의 유효저수량을 분석하였다. 선형계획모형을 이용한 저수지 분석에 있어서 선형결정법칙은 Chance-constrained model과 함께 된 석년수와 관계없이 제약조건식을 줄이는데 기여한다. 경기도 안성시에 소재하고 있는 금광저수지를 대상저수지고 선정하여 유효저수량을 분석한 결과, 추계학적 선형계획모형에 의한 유효저수량은 물수지 분석에 의한 것 보다 크게 분석되었다. 본 연구에서 제시된 선형계획모형에 의하여 적정한 유효저수량을 결정하고, 저수지 모의운영을 통하여 결정된 유효저수량의 성능을 평가하는 것이 타당한 것으로 판단된다.

FLEXIBLE OPTIMIZATION MODEL FOR LINEAR SCHEDULING PROBLEMS

  • Shu-Shun Liu;Chang-Jung Wang
    • 국제학술발표논문집
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    • The 1th International Conference on Construction Engineering and Project Management
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    • pp.802-807
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    • 2005
  • For linear projects, it has long been known that resource utilization is important in improving work efficiency. However, most existing scheduling techniques cannot satisfy the need for solving such issues. This paper presents an optimization model for solving linear scheduling problems involving resource assignment tasks. The proposed model adopts constraint programming (CP) as the searching algorithm for model formulation, and the proposed model is designed to optimize project total cost. Additionally, the concept of outsourcing resources is introduced here to improve project performance.

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선형근사 기법을 이용한 단일비행구간의 좌석할당 모형 (Seat Allocation Model for Single Flight-leg using Linear Approximation Technique)

  • 송윤숙;이휘영
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2008년도 추계학술대회 및 정기총회
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    • pp.65-75
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    • 2008
  • Over the last three decades, there are many researches focusing on the practice and theory of RM in airlines. Most of them have dealt with a seat assignment problem for maximizing the total revenue. In this study, we focus on a seat assignment problem in airlines. The seat assignment problem can be modeled as a stochastic programming model which is difficulty to solve optimally. However, with some assumptions on the demand distribution functions and a linear approximation technique, we can transform the complex stochastic programming model to a Linear Programming model. Some computational experiments are performed to evaluate out model with randomly generated data. They show that our model has a good performance comparing to existing models, and can be considered as a basis for further studies on improving existing seat assignment models.

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선형근사 기법을 이용한 단일비행구간의 좌석할당 모형 (Seat Allocation Model for Single Flight-leg using Linear Approximation Technique)

  • 송윤숙;이휘영;윤문길
    • 경영과학
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    • 제26권3호
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    • pp.117-131
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    • 2009
  • Over the last three decades, there are many researches focusing on the practice and theory of RM in airlines. Most of them have dealt with a seat assignment problem for maximizing the total revenue. In this study, we focus on a seat assignment problem in airlines. The seat assignment problem can be modeled as a stochastic programming model which is difficulty to solve optimally. However, with some assumptions on the demand distribution functions and a linear approximation technique, we can transform the complex stochastic programming model to a Linear Programming model. Some computational experiments are performed to evaluate out model with randomly generated data. They show that our model has a good performance comparing to existing models, and can be considered as a basis for further studies on improving existing seat assignment models.