• 제목/요약/키워드: solution algorithm

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부분 tree 탐색을 이용한 배전계통의 손실 최소화 (Loss Minimization for Distribution Network using Partial Tree Search)

  • 최상열;신명철;남기영;조필훈;박재세
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 A
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    • pp.519-521
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    • 2000
  • Network reconfiguration is an operation task, and consists in the determination of the switching operations such to reach the minimum loss conditions of the distribution network. In this paper, an effective heuristic based switch scheme for loss minimization is given for the optimization of distribution loss reduction and a solution approach is presented. The solution algorithm for loss minimization has been developed based on the two stage solution methodology. The first stage of this solution algorithm sets up a decision tree which represent the various switching operations available, the second stage applies a proposed technique called cyclic best first search. Therefore, the solution algorithm of proposed method can determine on-off switch statuses for loss reduction, with a minimum computational effort.

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협상 해법을 이용한 이더리움 샤드 부하 균형 알고리즘 (Adaptive Load Balancing Algorithm of Ethereum Shard Using Bargaining Solution)

  • 백동환;김승욱
    • 정보처리학회논문지:컴퓨터 및 통신 시스템
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    • 제10권4호
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    • pp.93-100
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    • 2021
  • 블록체인의 확장성 문제를 해결하기 위한 이더리움 샤드 시스템은 부하 균형 문제가 존재하며 이는 그래프 분할 문제로 모델링된다. 본 논문에서는 게임 이론의 협상 해법을 사용하여 이더리움 샤드 시스템의 상반된 효용에 대한 협상이 가능한 적응적 온라인 가중그래프 분할 알고리즘을 제안한다. 게임 이론의 협상 해법은 상반된 효용의 협상점을 공정하게 결정할 수 있는 공리적 해법이다. 제안 알고리즘은 기존 온라인 그래프 분할 알고리즘을 가중그래프에 적용할 수 있도록 개선하였으며 대표적인 교섭 해법인 내쉬 협상 해법을 확장한 확장 내쉬 협상 해법을 사용하여 이더리움 시스템 상황을 고려한 설계를 통해 효과적으로 부하 균형을 수행하였다. 실험 결과, 대표적인 온라인, 오프라인 그래프 분할 알고리즘에 비해 최대 37% 우수한 성능을 보였다.

An Algorithm for One-Sided Generalized Least Squares Estimation and Its Application

  • Park, Chul-Gyu
    • Journal of the Korean Statistical Society
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    • 제29권3호
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    • pp.361-373
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    • 2000
  • A simple and efficient algorithm is introduced for generalized least squares estimation under nonnegativity constraints in the components of the parameter vector. This algorithm gives the exact solution to the estimation problem within a finite number of pivot operations. Besides an illustrative example, an empirical study is conducted for investigating the performance of the proposed algorithm. This study indicates that most of problems are solved in a few iterations, and the number of iterations required for optimal solution increases linearly to the size of the problem. Finally, we will discuss the applicability of the proposed algorithm extensively to the estimation problem having a more general set of linear inequality constraints.

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One-Sided Optimal Assignment and Swap Algorithm for Two-Sided Optimization of Assignment Problem

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제20권12호
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    • pp.75-82
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    • 2015
  • Generally, the optimal solution of assignment problem can be obtained by Hungarian algorithm of two-sided optimization with time complexity $O(n^4)$. This paper suggests one-sided optimal assignment and swap optimization algorithm with time complexity $O(n^2)$ can be achieve the goal of two-sided optimization. This algorithm selects the minimum cost for each row, and reassigns over-assigned to under-assigned cell. Next, that verifies the existence of swap optimization candidates, and swap optimizes with ${\kappa}-opt({\kappa}=2,3)$. For 27 experimental data, the swap-optimization performs only 22% of data, and 78% of data can be get the two-sided optimal result through one-sided optimal result. Also, that can be improves on the solution of best known solution for partial problems.

A Divide-and-Conquer Algorithm for Rigging Elections Problem

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제20권12호
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    • pp.101-106
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    • 2015
  • This paper suggests heuristic algorithm with polynomial time complexity for rigging elections problem that can be obtain the optimal solution using linear programming. The proposed algorithm transforms the given problem into adjacency graph. Then, we divide vertices V into two set W and D. The set W contains majority distinct and the set D contains minority area. This algorithm applies divide-and-conquer method that the minority area D is include into majority distinct W. While this algorithm using simple rule, that can be obtains the optimal solution equal to linear programing for experimental data. This paper shows polynomial time solution finding rule potential in rigging elections problem.

공간 영역 제약 정보를 이용한 적응 Gradient-Projection 영상 복원 방식 (An Adaptive Gradient-Projection Image Restoration Algorithm with Spatial Local Constraints)

  • 송원선;홍민철
    • 한국통신학회논문지
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    • 제28권3C호
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    • pp.232-238
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    • 2003
  • 본 논문에서는 공간 영역의 제약 정보를 이용한 적응 영상 복원 방식을 제안한다. 공간 영역의 제약정보로는 국부 정보의 평균, 분산 및 최대 값을 이용하였으며, 반복 기법을 이용하여 매 반복 해에서 얻어진 복원 영상으로부터 상기 제약 정보를 설정하게 되고, 위의 제약 정보는 임의의 입력 값에 의해 정의되는 매개 변수와 더불어 복원 영상의 국부 완화 정도를 결정하게 된다. 제안된 방식을 이용하여 복원영상을 얻기 위해 비 적응 복원 방식보다 빠른 수렴속도를 갖게 됨을 알 수 있으며, 국부적으로 제어된 완화 정도를 지닌 복윈 영상을 얻을 수 있었다. 제안된 방식의 성능은 실험을 통해서 확인할 수 있었다.

Polynomial Time Algorithm for Satellite Communications Scheduling Problem with Capacity Constrainted Transponder

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제21권6호
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    • pp.47-53
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    • 2016
  • This paper deals with the capacity constrained time slot assignment problem(CTSAP) that a satellite switches to traffic between $m{\times}n$ ground stations using on-board $k{\leq}_{min}\{m,n\}$ k-transponders switching modes in SS/TDMA time-division technology. There was no polynomial time algorithm to solve the optimal solution thus this problem classified by NP-hard. This paper suggests a heuristic algorithm with O(mn) time complexity to solve the optimal solution for this problem. Firstly, the proposed algorithm selects maximum packet lengths of $\({mn \atop c}\)$ combination and transmits the cut of minimum packet length in each switching mode(MSMC). In the case of last switching mode with inefficient transmission, we applies a compensation strategy to obtain the minimum number of switching modes and the minimum makespan. The proposed algorithm finds optimal solution in polynomial time for all of the experimental data.

유전자 알고리듬을 이용한 운행비용 최소화 다용량 차량경로문제 (A Heterogeneous VRP to Minimize the Transportation Costs Using Genetic Algorithm)

  • 임무균;전건욱
    • 산업공학
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    • 제20권2호
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    • pp.103-111
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    • 2007
  • A heterogeneous VRP which considers various capacities, fixed and variable costs was suggested in this study. The transportation cost for vehicle is composed of its fixed and variable costs incurred proportionately to the travel distance. The main objective is to minimize the total sum of transportation costs. A mathematical programming model was suggested for this purpose and it gives an optimal solution by using OPL-STUDIO (ILOG CPLEX). A genetic algorithm which considers improvement of an initial solution, new fitness function with weighted cost and distance rates, and flexible mutation rate for escaping local solution was also suggested. The suggested algorithm was compared with the results of a tabu search and sweeping method by Taillard and Lee, respectively. The suggested algorithm gives better solutions rather than existing algorithms.

ITERATIVE ALGORITHMS FOR THE LEAST-SQUARES SYMMETRIC SOLUTION OF AXB = C WITH A SUBMATRIX CONSTRAINT

  • Wang, Minghui;Feng, Yan
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.1-12
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    • 2009
  • Iterative algorithms are proposed for the least-squares symmetric solution of AXB = E with a submatrix constraint. We characterize the linear mappings from their independent element space to the constrained solution sets, study their properties and use these properties to propose two matrix iterative algorithms that can find the minimum and quasi-minimum norm solution based on the classical LSQR algorithm for solving the unconstrained LS problem. Numerical results are provided that show the efficiency of the proposed methods.

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An Iterative Method for Equilibrium and Constrained Convex Minimization Problems

  • Yazdi, Maryam;Shabani, Mohammad Mehdi;Sababe, Saeed Hashemi
    • Kyungpook Mathematical Journal
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    • 제62권1호
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    • pp.89-106
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    • 2022
  • We are concerned with finding a common solution to an equilibrium problem associated with a bifunction, and a constrained convex minimization problem. We propose an iterative fixed point algorithm and prove that the algorithm generates a sequence strongly convergent to a common solution. The common solution is identified as the unique solution of a certain variational inequality.