• 제목/요약/키워드: Linear Programming Technique

검색결과 168건 처리시간 0.029초

선형 제약 만족 최적화 문제를 위한 정수계획법 기반 지역 탐색 기법 (Integer Programming-based Local Search Technique for Linear Constraint Satisfaction Optimization Problem)

  • 황준하;김성영
    • 한국컴퓨터정보학회논문지
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    • 제15권9호
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    • pp.47-55
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    • 2010
  • 선형 제약 만족 최적화 문제는 선형식으로 표현 가능한 목적함수 및 복잡한 제약조건을 포함하는 조합 최적화 문제를 의미한다. 정수계획법은 이와 같은 문제를 해결하는 데 매우 효과적인 기법으로 알려져 있지만 문제의 규모가 커질 경우 준최적해를 도출하기까지 매우 많은 시간과 메모리를 요구한다. 본 논문에서는 지역 탐색과 정수계획법을 결합하여 탐색 성능을 향상할 수 있는 방안을 제시한다. 기본적으로 대상 문제의 해결을 위해 지역 탐색의 가장 단순한 형태인 단순 언덕오르기 탐색을 사용하되 이웃해 생성 시 정수계획법을 적용한다. 또한 부가적으로 초기해 생성을 위해 제약 프로그래밍을 활용한다. N-Queens 최대화 문제를 대상으로 한 실험 결과, 본 논문에서 제시한 기법을 통해 다른 탐색 기법들보다 훨씬 더 좋은 해를 도출할 수 있음을 확인할 수 있었다.

내부점 선형계획법의 밀집열 분할에 대하여 (On dence column splitting in interial point methods of linear programming)

  • 설동렬;박순달;정호원
    • 경영과학
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    • 제14권2호
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    • pp.69-79
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    • 1997
  • The computational speed of interior point method of linear programming depends on the speed of Cholesky factorization. If the coefficient matrix A has dense columns then the matrix A.THETA. $A^{T}$ becomes a dense matrix. This causes Cholesky factorization to be slow. We study an efficient implementation method of the dense column splitting among dense column resolving technique and analyze the relation between dense column splitting and order methods to improve the sparsity of Cholesky factoror.

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확률선형 계획법에 의한 최적 Var 배분 계뵉에 관한 연구(II) (Optimal Var allocation in System planning by Stochastic Linear Programming(II))

  • 송길영;이희영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1989년도 추계학술대회 논문집 학회본부
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    • pp.191-193
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    • 1989
  • This paper presents a optimal Var allocation algorithm for minimizing power loss and improving voltage profile in a given system. In this paper, nodal input data is considered as Gaussian distribution with their mean value and their variance. A stochastic Linear Programming technique based on chance constrained method is applied to solve the probabilistic constraint. The test result in IEEE-14 Bus model system showes that the voltage distribution of load buses is improved and the power loss is more reduced than before Var allocation.

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확률 선형 계획법에 의한 최적 Var 배분 계획에 관한 연구 (Optimal Var Allocation in system planning by stochastic Linear Programming)

  • 송길영;이희영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 전기.전자공학 학술대회 논문집
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    • pp.863-865
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    • 1988
  • This paper presents a optimal Var allocation algorithm for minimizing transmission line losses and improving voltage profile in a given system. In this paper, nodal input data is considered as Gaussian distribution with their mean value and their variance. A Stocastic Linear programming technique based on chance constrained method is applied, to solve the var allocation problem with probabilistic constraint. The test result in 6-Bus Model system showes that the voltage distribution of load buses is improved and the power loss is more reduced than before var allocation.

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조선분야의 축적된 데이터 활용을 위한 유전적프로그래밍에서의 선형(Linear) 모델 개발 (Implementing Linear Models in Genetic Programming to Utilize Accumulated Data in Shipbuilding)

  • 이경호;연윤석;양영순
    • 대한조선학회논문집
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    • 제42권5호
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    • pp.534-541
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    • 2005
  • Until now, Korean shipyards have accumulated a great amount of data. But they do not have appropriate tools to utilize the data in practical works. Engineering data contains experts' experience and know-how in its own. It is very useful to extract knowledge or information from the accumulated existing data by using data mining technique This paper treats an evolutionary computation based on genetic programming (GP), which can be one of the components to realize data mining. The paper deals with linear models of GP for the regression or approximation problem when given learning samples are not sufficient. The linear model, which is a function of unknown parameters, is built through extracting all possible base functions from the standard GP tree by utilizing the symbolic processing algorithm. In addition to a standard linear model consisting of mathematic functions, one variant form of a linear model, which can be built using low order Taylor series and can be converted into the standard form of a polynomial, is considered in this paper. The suggested model can be utilized as a designing tool to predict design parameters with small accumulated data.

데이터베이스로부터의 선형계획모형 추출방법에 대한 연구 (Linear Programming Model Discovery from Databases)

  • 권오병;김윤호
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 2000년도 춘계공동학술대회 논문집
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    • pp.290-293
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    • 2000
  • Knowledge discovery refers to the overall process of discovering useful knowledge from data. The linear programming model is a special form of useful knowledge that is embedded in a database. Since formulating models from scratch requires knowledge-intensive efforts, knowledge-based formulation support systems have been proposed in the DSS area. However, they rely on the strict assumption that sufficient domain knowledge should already be captured as a specific knowledge representation form. Hence, the purpose of this paper is to propose a methodology that finds useful knowledge on building linear programming models from a database. The methodology consists of two parts. The first part is to find s first-cut model based on a data dictionary. To do so, we applied the GPS algorithm. The second part is to discover a second-cut model by applying neural network technique. An illustrative example is described to show the feasibility of the proposed methodology.

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GPS와 인공신경망을 활용한 데이터베이스로부터의 선형계획모형 발견법 (Linear Programming Model Discovery from Databases Using GPS and Artificial Neural Networks)

  • 권오병;양진설
    • 한국경영과학회지
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    • 제25권3호
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    • pp.91-107
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    • 2000
  • The linear programming model is a special form of useful knowledge that is embedded in a database. Since formulating models from scratch requires knowledge-intensive efforts, knowledge-based formulation support systems have been proposed in the Decision Support Systems area. However, they rely on the assumption that sufficient domain knowledge should already be captured as a specific knowledge representation form. Hence, the purpose of this paper is to propose a methodology that finds useful knowledge on building linear programming models from a database. The methodology consists of two parts. The first part is to find s first-cut model based on a data dictionary. To do so, we applied the General Problem Solver(GPS) algorithm. The second part is to discover a second-cut model by applying neural network technique. An illustrative example is described to show the feasibility of the proposed methodology.

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일반화된 선형/목표계획법의 마이크로컴퓨터용 소프트웨어 개발 (Software Development of Generalized Linear/Goal Programming for Microcomputer)

  • 차동완;고재문;이원택
    • 한국경영과학회지
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    • 제11권1호
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    • pp.51-58
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    • 1986
  • The propose of this study is to presnet a generalized linear/goal programming software, which has been developed to run on mickrocomputers with at least 512 K bytes of memory. The main characteristics of our algorithm for solving LP/GP problems are outlined as follows ; First, it uses the revised simplex algorithm, which is the most efficient computational procedure for computers. Second, it employs the sparse matrix technique to overcome the limited memory of microcomputers. Last, it uses the modified product form of invers (MPFI) to reduce round-off errors. The test runs with our code written in FORTRAN show that it can be used as an effective tool for solving linear/goal programming problems of considerable size.

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Automated yield-line analysis of beam-slab systems

  • Johnson, David
    • Structural Engineering and Mechanics
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    • 제3권6호
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    • pp.529-539
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    • 1995
  • The rigid-plastic yield-line analysis of isotropically reinforced concrete slabs acting in conjunction with torsionally weak supporting beams is developed as the lower-bound form of a linear programming formulation. The analysis is extended to consider geometric variation of chosen yield-line patterns by the technique of sequential linear programming. A strategy is followed of using a fine potential yield-line mesh to identify possible collapse modes, followed by analysis using a coarser, simplified mesh to refine the investigation and for use in conjunction with geometric optimization of the yield-line system. The method is shown to be effective for the analysis of three slabs of varying complexity. The modes detected by the fine and simplified analyses are not always similar but close agreement in load factors has been consistently obtained.

선형계획법의 해의 이동에 관한 시각화 (On visualization of solutions of the linear Programming)

  • 이상욱;임성묵;박순달
    • 경영과학
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    • 제19권1호
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    • pp.67-75
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    • 2002
  • This paper deals with the visualization method of solutions of the linear programming Problem. We used the revised simplex method for the LP algorithm. To represent the solutions at each iteration, we need the informations of feasible legion and animated effect of solutions. For the visualization in high dimension space, we used the method of Projection to the three dimensions if the decision variable vector is over three dimensions, and we studied the technique of preserving original Polyhedral information such as the number of vertices. In addtion, we studied the method of visualizing unbounded feasible region and the adjacency relationship of the vortices welch is Indispensable to cisualize feasible legion.