• 제목/요약/키워드: Feasible solution set

검색결과 56건 처리시간 0.207초

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.

차량경로문제의 경로분할모형에 관한 연구 (A Route-Splitting Approach to the Vehicle Routing Problem)

  • 강성민
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2005년도 추계학술대회 및 정기총회
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    • pp.57-78
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    • 2005
  • 차량경로문제의 Set-Partitioning 모형에 적용된 열생성 프로세스에서 차량경로를 생성하는 하위문제는 순회외판원 문제와 같은 combinatorial 구조를 가지므로 연산상의 어려움이 크다. 본 논문은 각 차량경로를 분할하여 하위문제에서 분할된 부분경로를 생성하는 경로분할모형을 소개한다. 열생성이 용이해지는 반면 주문제가 복잡해지는 단점이 있으나 이 모형은 set-partitioning 모형으로 다루기 힘든 크기의 VRP에 접근하도록 한다. 경로분할모형은 최대 199곳의 수요지를 갖는 Symmetric VRP의 실험문제에서 평균93.5%, 수요지수 최대 70곳의 Asymmetric VRP의 실험문제에서 평균 97.6%의 하한값을 도출해 특히 Asymmetric VRP의 경우에서 잘 알려진 다른 하한값 기법들보다 우수함을 보였다. 개발된 Branch-and-Price 프로세스로는 도출된 하한값을 사용하여 수요지 최대 48곳의Asymmetric VRP의 최적해를 구할 수 있었다. 경로분할모형은 성능이 비교되는 다른 모형과 달리 다른 크기의 차량을 다룰 수 있는 장점이 있고, Asymmetric VRP 문제에서는 현재 가장 우수한 하한값을 제시한다. 이러한 점에서 본 모형은 향후 연구가치가 있다고 판단된다.

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군집 방법을 이용한 비만 여성의 기성복 하의류 치수 체계에 관한 연구 (A Study on the Sizing System of the lower Ready-to wear for the Obese Women)

  • 이진희
    • 대한가정학회지
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    • 제38권9호
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    • pp.33-40
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    • 2000
  • The purpose of this proper is to set up the sizing system of the lower, which would be a guide for obese women for selecting ready-to-wear of suitable size. This study was carried out on 130 obese women and was done by cluster analysis with two(waist girth and hip girth) or three(abdomen circumference, hip girth and crotch length) variables. The results were as fellows: First, it was found that 3-5 sizes were suitable by cluster analysis with two variable. Second, 3-4 sizes were suitable with three variables. Finally, the number of sizes to product was 5 with two variables as a feasible solution, and 4 with three variables.

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LMI 기법을 이용한 방향성 통신 토폴로지를 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems with Directed Communication Topology Using LMI Approach)

  • 김수범;최현철;이성훈;김강석;주성열;홍우영
    • 한국군사과학기술학회지
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    • 제14권5호
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    • pp.941-947
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    • 2011
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with directed communication topology. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with directed graph. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. Examples are presented to show the effectiveness of the proposed method.

용량이 변화하는 (0, 1)-배낭문제에 대한 절단평면 생성방안 (A Cut Generation Method for the (0, 1)-Knapsack Problem with a Variable Capacity)

  • 이경식;박성수
    • 한국경영과학회지
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    • 제25권3호
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    • pp.1-15
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    • 2000
  • In this paper, we propose a practical cut generation method based on the Chvatal-Gomory procedure for the (0, 1)-Knapsack problem with a variable capacity. For a given set N of n items each of which has a positive integral weight and a facility of positive integral capacity, a feasible solution of the problem is defined as a subset S of N along with the number of facilities that can satisfy the sum of weights of all the items in S. We first derive a class of valid inequalities for the problem using Chvatal-Gomory procedure, then analyze the associated separation problem. Based on the results, we develop an affective cut generation method. We then analyze the theoretical strength of the inequalities which can be generated by the proposed cut generation method. Preliminary computational results are also presented which show the effectiveness of the proposed cut generation method.

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파라미터 불확실성을 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems With Parameter Uncertainties)

  • 김수범;최현철;김형준;심형보;서진헌
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
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    • pp.67-69
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    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with parameter uncertainties. All the agents are identical high-order linear systems with parameter uncertainties and their state information is exchanged through a communication network. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. A numerical example is presented to show the effectiveness of the proposed method.

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통신지연을 갖는 고차 선형시스템들의 상태일치 (Consensus of High-order Linear Systems With Communication Delay)

  • 최현철;김수범;김성준;심형보;서진헌
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
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    • pp.88-90
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    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with communication delay. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with constant communication delay. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems with delay. A numerical example is presented to show the effectiveness of the proposed method.

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An empirical study on the material distribution decision making

  • Ko, Je-Suk
    • Journal of the Korean Data and Information Science Society
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    • 제21권2호
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    • pp.355-361
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    • 2010
  • This paper addresses a mathematical approach to decision making in a real-world material distribution situation. The problem is characterized by a low-volume and highly-varied mix of products, therefore there is a lot of material movement between the facilities. This study focuses especially on the transportation scheduler with a tool that can be used to quantitatively analyze the volume of material moved, the type of truck to be used, production schedules, and due dates. In this research, we have developed a mixed integer programming problem using the minimum cost, multiperiod, multi-commodity network flow approach that minimizes the overall material movement costs. The results suggest that the optimization approach provides a set of feasible solution routes with the objective of reducing the overall fleet cost.

Strong Convergence of a Bregman Projection Method for the Solution of Pseudomonotone Equilibrium Problems in Banach Spaces

  • Olawale Kazeem Oyewole;Lateef Olakunle Jolaoso;Kazeem Olalekan Aremu
    • Kyungpook Mathematical Journal
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    • 제64권1호
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    • pp.69-94
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    • 2024
  • In this paper, we introduce an inertial self-adaptive projection method using Bregman distance techniques for solving pseudomonotone equilibrium problems in reflexive Banach spaces. The algorithm requires only one projection onto the feasible set without any Lipschitz-like condition on the bifunction. Using this method, a strong convergence theorem is proved under some mild conditions. Furthermore, we include numerical experiments to illustrate the behaviour of the new algorithm with respect to the Bregman function and other algorithms in the literature.

High Resolution ISAR Imaging Based on Improved Smoothed L0 Norm Recovery Algorithm

  • Feng, Junjie;Zhang, Gong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권12호
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    • pp.5103-5115
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    • 2015
  • In radar imaging, a target is usually consisted of a few strong scatterers which are sparsely distributed. In this paper, an improved sparse signal recovery algorithm based on smoothed l0 (SL0) norm method is proposed to achieve high resolution ISAR imaging with limited pulse numbers. Firstly, one new smoothed function is proposed to approximate the l0 norm to measure the sparsity. Then a single loop step is used instead of two loop layers in SL0 method which increases the searching density of variable parameter to ensure the recovery accuracy without increasing computation amount, the cost function is undated in every loop for the next loop until the termination is satisfied. Finally, the new set of solution is projected into the feasible set. Simulation results show that the proposed algorithm is superior to the several popular methods both in terms of the reconstruction performance and computation time. Real data ISAR imaging obtained by the proposed algorithm is competitive to several other methods.