• 제목/요약/키워드: Branch-and-Bound Algorithm

검색결과 194건 처리시간 0.023초

컨테이너선의 적재계량에 관한 연구 (On the Loading Plan of Container Ship)

  • 강기중;이철영
    • 한국항해학회지
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    • 제14권4호
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    • pp.1-15
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    • 1990
  • With increasing ship's speed turnround and port time becomes a large percentage of total roundtrip time and this causes to accelerate the introduction of the various kind of modern handling equipment, the standardization of cargoes, and the improvement of the ship. However, it is still a drag on efficient operation of ship. Similarly, the turnround time at the container port is very important as a measure for the decision of the efficiency of port. To decrease operating coasts, the minimization of the time need to cargo handling at the ports of call must be achieved. Thus the optimization of the time need to cargo handling at the ports of call must be achieved. Thus the optimized Container Loading Plan is necessary, especially under the rapid speed of container operations. For the container loading plan, in this thesis, we use the hungarian method and the branch and bound method to get the initial disposition of both maximization of ship's GM and minimization of shift number to the obstructive container in a yard area. We apply the dynamic programming algorithm to get the final disposition for minimizing total turnroudn time and finally we analyzed the results to check whether the initial disposition is proper or not.

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퍼지 반박시정계획 문제에 관한 연구 (A Study on a Fuzzy Berth Assignment Programming Problem)

  • 금종수;이홍걸;이철영
    • 한국항해학회지
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    • 제20권4호
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    • pp.59-70
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    • 1996
  • A berth assignment problem has a direct impact on assessment of charges made to ships and goods. In this paper, we concerned with of fuzzy mathematical programming models for a berth assignment problem to achieved an efficient berth operation in a fuzzy environment. In this paper, we focus on the berth assignment programming with fuzzy parameters which are based on personal opinions or subjective judgement. From the above point of view, assume that a goal and a constraint are given by fuzzy sets, respectively, which are characterized by membership functions. Let a fuzzy decision be defined as the fuzzy set resulting from the intersection of a goal and constraint. This paper deals with fuzziness in all parameters which are expressed by fuzzy numbers. A fuzzy parameter defined by a fuzzy number means a possibility distribution of the parameters. These fuzzy 0-1 integer programming problems are formulated by fuzzy functions whose concept is also called the extension principle. We deal with a berth assignment problem with triangular fuzzy coefficients and propose a branch and bound algorithm for solving the problem. We suggest three models of berth assignment to minimizing the objective functions such as total port time, total berthing time and maximum berthing time by using a revised Maximum Position Shift(MPS) concept. The berth assignment problem is formulated by min-max and fuzzy 0-1 integer programming. Finally, we gave the numerical solutions of the illustrative examples.

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Structural system reliability-based design optimization considering fatigue limit state

  • Nophi Ian D. Biton;Young-Joo Lee
    • Smart Structures and Systems
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    • 제33권3호
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    • pp.177-188
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    • 2024
  • The fatigue-induced sequential failure of a structure having structural redundancy requires system-level analysis to account for stress redistribution. System reliability-based design optimization (SRBDO) for preventing fatigue-initiated structural failure is numerically costly owing to the inclusion of probabilistic constraints. This study incorporates the Branch-and-Bound method employing system reliability Bounds (termed the B3 method), a failure-path structural system reliability analysis approach, with a metaheuristic optimization algorithm, namely grey wolf optimization (GWO), to obtain the optimal design of structures under fatigue-induced system failure. To further improve the efficiency of this new optimization framework, an additional bounding rule is proposed in the context of SRBDO against fatigue using the B3 method. To demonstrate the proposed method, it is applied to complex problems, a multilayer Daniels system and a three-dimensional tripod jacket structure. The system failure probability of the optimal design is confirmed to be below the target threshold and verified using Monte Carlo simulation. At earlier stages of the optimization, a smaller number of limit-state function evaluation is required, which increases the efficiency. In addition, the proposed method can allocate limited materials throughout the structure optimally so that the optimally-designed structure has a relatively large number of failure paths with similar failure probability.

가교 퍼즐에 관한 경로 매칭 알고리즘 (Path Matching Algorithm for Bridges Puzzle)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제24권4호
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    • pp.99-106
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    • 2024
  • 섬(정점)이 요구하는 가교(간선)를 대각선을 제외한 가로와 세로 직선 가교를 교차없이 연결하여 모든 섬들이 연결된 망을 형성하는 가교 퍼즐 문제는 관련 연구가 전혀 없는 연구의 불모지라 할 수 있다. 이 문제에 대해서는 일반적으로 알려진 지수시간이 소요되는 전수 탐색법이나 분기한정 법조차도 제시된 알고리즘이 없는 실정이다. 본 논문은 주어진 BP에 대해 대각선이 없는 격자 그래프를 작도하고, 불필요한 간선은 삭제하고, 필수적인 가교는 보충하여 격자 그래프 초기 해를 구하였다. 다음으로 부족한 섬 쌍 매칭을 통해 해당 경로에 부족한 간선은 추가하고, 교차되는 잉여 간선(가교)은 삭제하는 방식을 채택하였다. 제안된 알고리즘을 24개 벤치마킹 실험 데이터에 적용한 결과 모든 문제에 대해 정확한 해를 구할 수 있음을 보였다.

A Decomposition Approach for Fixed Channel Assignment Problems in Large-Scale Cellular Networks

  • Jin, Ming-Hui;Wu, Eric Hsiao-Kuang;Horng, Jorng-Tzong
    • Journal of Communications and Networks
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    • 제5권1호
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    • pp.43-54
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    • 2003
  • Due to insufficient available bandwidth resources and the continuously growing demand for cellular communication services, the channel assignment problem has become increasingly important. To trace the optimal assignment, several heuristic strategies have been proposed. So far, most of them focus on the small-scale systems containing no more than 25 cells and they use an anachronistic cost model, which does not satisfy the requirements ity. Solving the small-scale channel assignment problems could not be applied into existing large scale cellular networks' practice. This article proposes a decomposition approach to solve the fixed channel assignment problem (FCAP) for large-scale cellular networks through partitioning the whole cellular network into several smaller sub-networks and then designing a sequential branch-and-bound algorithm that is made to solve the FCAP for them sequentially. The key issue of partition is to minimize the dependences of the sub-networks so that the proposed heuristics for solving smaller problems will suffer fewer constraints in searching for better assignments. The proposed algorithms perform well based on experimental results and they were applied to the Taiwan Cellular Cooperation (TCC) in ChungLi city to find better assignments for its network.

도로 네트워크에서 $A^*$ 알고리즘을 이용한 k-최근접 이웃 객체에 대한 효과적인 경로 탐색 방법 (Efficient Path Finding Based on the $A^*$ algorithm for Processing k-Nearest Neighbor Queries in Road Network Databases)

  • 신성현;이상철;김상욱;이정훈;임을규
    • 한국정보과학회논문지:데이타베이스
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    • 제36권5호
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    • pp.405-410
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    • 2009
  • 본 논문에서는 기존 k-최근접 객체 검색의 효율성을 개선하고 도로 네트워크에의 응용을 용이하게 하기 위하여 질의 점으로부터 k개의 정적 객체까지의 경로를 효과적으로 탐색할 수 있는 방법을 제안한다. 제안한 방법은 우선, k-최근접 이웃 질의 방법을 이용하여 후보 정적 객체들을 선정한 후 이들 후보 객체들의 위치 정보를 이용하여 최단 경로를 탐색한다. 일대다 경로탐색을 위하여 A* 알고리즘을 개선하여 반복된 일대일 경로탐색에 따르는 중복된 노드 스캔을 제거한다. 또, 계산된 결과를 이용하여 질의점으로부터 네트워크 거리상으로 가까운 k개의 정적 객체들의 위치를 재정렬하여 반환한다. 성능평가 실험 결과, 제안한 방법은 기존 방법들인 INE, post-Dijkstra, 그리고 $na{\ddot{i}}ve$ method에 비해 정확성이 100%로 매우 높게 나타났으며, 노드 탐색 시간은 $1.3{\sim}3.0$배로 향상된 성능을 보였다.

제한용량이 있는 설비입지결정 문제에 대한 적응형 평균치교차분할 알고리즘 (Adaptive Mean Value Cross Decomposition Algorithms for Capacitated Facility Location Problems)

  • 김철연;최경현
    • 대한산업공학회지
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    • 제37권2호
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    • pp.124-131
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    • 2011
  • In this research report, we propose a heuristic algorithm with some primal recovery strategies for capacitated facility location problems (CFLP), which is a well-known combinatorial optimization problem with applications in distribution, transportation and production planning. Many algorithms employ the branch-and-bound technique in order to solve the CFLP. There are also some different approaches which can recover primal solutions while exploiting the primal and dual structure simultaneously. One of them is a MVCD (Mean Value Cross Decomposition) ensuring convergence without solving a master problem. The MVCD was designed to handle LP-problems, but it was applied in mixed integer problems. However the MVCD has been applied to only uncapacitated facility location problems (UFLP), because it was very difficult to obtain "Integrality" property of Lagrangian dual subproblems sustaining the feasibility to primal problems. We present some heuristic strategies to recover primal feasible integer solutions, handling the accumulated primal solutions of the dual subproblem, which are used as input to the primal subproblem in the mean value cross decomposition technique, without requiring solutions to a master problem. Computational results for a set of various problem instances are reported.

FPGA 기반 설계의 온도 센서 최적 배치 알고리즘 (Thermal Sensor Allocation and Placement Algorithm on FPGA Based Design)

  • 현철환;남형욱;김용주;김태환
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2008년도 한국컴퓨터종합학술대회논문집 Vol.35 No.1 (B)
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    • pp.292-297
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    • 2008
  • 본 논문은 FPGA 기반 설계에서 주변보다 급격한 온도 변화를 보이는 hotspot들을 탐지하기 위한 열 감지 센서 수를 정하고, 센서의 놓여야 할 배치 장소를 결정하는 알고리즘을 제안한다. 열 감지 센서로는 동적으로 설계가 가능한 ring oscillator 센서 기술을 사용한다는 가정 하에, 센서의 사용 개수를 최소화함과 동시에 최적의 센서 배치 위치 찾는다. 기존의 연구의 단점은 센서가 감지하는 영역 범위를 적당한 크기의 정사각형으로 간주하였기에, 실제 원형의 관측 범위를 보이는 센서 감지 영역의 현실을 올바로 반영하지 못하였으며, 또한 잘 알려진 회로 분할(partition) 기법에 의존한 휴리스틱으로 최적의 결과를 보장하지는 못하였다. 이와는 달리 본 연구에서는 센서의 관측 범위를 원형으로 할 수도 있게 함과 동시에 최적의 해를 보장하는 센서 할당 및 배치 알고리즘을 제안한다. 구체적으로 본 제안 알고즘에서는 소위 “Candidate Coloring 기법”을 통해 센서가 놓여야 할 모든 후보 영역을 표시하며, “Candidate Filtering 기법”을 통해 불필요한 후보 영역들을 완전히 삭제하여 탐색 공간을 줄이게 되며 (해의 최적 해는 항상 유지 되도록 하면서), 마지막으로 Branch-and-Bound 알고리즘을 적용해 최적의 센서 할당 및 배치 결과를 찾아내었다.

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애매성을 고려한 퍼지이론을 이용한 송전망확충계획에 관한 연구 (Consideration of Ambiguties on Transmission System Expansion Planning using Fuzzy Set Theory)

  • 트란트룽틴;김형철;최재석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 추계학술대회 논문집 전력기술부문
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    • pp.261-265
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    • 2004
  • This paper proposes a fuzzy dual method for analyzing long-term transmission system expansion planning problem considering ambiguities of the power system using fuzzy lineal programming. Transmission expansion planning problem can be formulated integer programming or linear programming with minimization total cost subject to reliability (load balance). A long-term expansion planning problem of a grid is very complex, which have uncertainties fur budget, reliability criteria and construction time. Too much computation time is asked for actual system. Fuzzy set theory can be used efficiently in order to consider ambiguity of the investment budget (economics) for constructing the new transmission lines and the delivery marginal rate (reliability criteria) of the system in this paper. This paper presents formulation of fuzzy dual method as first step for developing a fuzzy Ford-Fulkerson algorithm in future and demonstrates sample study. In application study, firstly, a case study using fuzzy integer programming with branch and bound method is presented for practical system. Secondly, the other case study with crisp Ford Fulkerson is presented.

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무제한 3차원 절단문제를 위한 새로운 분지 한계법 (A New branch and bound algorithm for unconstrained three-dimensional cutting problems)

  • Young-Jo Seong;Maing-Kyu Kang
    • 한국컴퓨터산업학회논문지
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    • 제5권3호
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    • pp.377-382
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    • 2004
  • 무제한 3차원 절단문제는 커다란 직육면체 자재에서 작은 직육면체 제품을 잘라낼 때, 잘라낸 제품의 가치가 최대가 되도록 하는 절단패턴을 찾는 문제이다. 이 때, 잘려지는 각각의 제품은 고유의 크기와 가치를 갖는다. 두 개의 절단패턴을 결합해서 새로운 절단패턴을 만들어 내는 상향식 접근법은 무제한 3차원 절단문제를 푸는 해법으로 사용할 수 있다. 본 논문에서는, Wang이 제안한, 2차원 문제에서 사용되는 두 가지 결합 외에 새로운 결합을 정의하고, 지 등이 무제한 2차원 절단 문제를 풀기 위해 제안한 분지전략을 3차원 문제에서 사용할 수 있도록 새롭게 재구성한다.

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