• Title/Summary/Keyword: Branch & Bound

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정수 일반네트워크문제를 위한 분지한계법의 개선 (Improvment of Branch and Bound Algorithm for the Integer Generalized Nntwork Problem)

  • 김기석;김기석
    • 한국경영과학회지
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    • 제19권2호
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    • pp.1-19
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    • 1994
  • A generalized network problem is a special class of linear programming problem whose coefficient matrix contains at most two nonzero elements per column. A generalized network problem with 0-1 flow restrictions is called an integer generalized network(IGN) problem. In this paper, we presented a branch and bound algorithm for the IGN that uses network relaxation. To improve the procedure, we develop various strategies, each of which employs different node selection criterion and/or branching variable selection criterion. We test these solution strategies and compare their efficiencies with LINDO on 70 randomly generated problems.

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최적차량운행을 위한 분지한계기법 (A Branch-and-Bound Algorithm for the Optimal Vehicle Routing)

  • 송성헌;박순달
    • 한국국방경영분석학회지
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    • 제9권1호
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    • pp.75-85
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    • 1983
  • This study is concerned with the problem of routing vehicles stationed at a central depot to supply customers with known demands, in such a way as to minimize the total distance travelled. The problem is referred to as the vehicle routing problem and is a generalization of the multiple traveling salesmen problem that has many practical applications. A branch-and-bound algorithm for the exact solution of the vehicle routing problem is presented. The algorithm finds the optimal number of vehicles as well as the minimum distance routes. A numerical example is given.

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이산 섬유 배열각을 이용한 복합재료 적층 평판의 최적 설계 (Layup Optimization for Composite Laminates with Discrete Ply Angles)

  • 김태욱
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.734-739
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    • 2001
  • In this paper, an algorithm for stacking sequence optimization which deals with discrete ply angles is used for optimization of composite laminated plates. To handle discrete ply angles, the branch and bound method is modified. Numerical results show that the optimal stacking sequence is found with fewer evaluations of objective function than expected with the size of feasible region, which shows the algorithm can be effectively used for layup optimization of composite laminates..

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Branch and Bound Algorithm for the Facility Layout Problem Without Shape Distortion

  • Kim, Chae-Bogk;Kim, Yung-Sik;Lee, Dong-Hoon
    • 한국경영과학회지
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    • 제21권2호
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    • pp.59-70
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    • 1996
  • Given the flow matrix, plant size (rectangle shape) and department sizes, the algorithm in this paper provides the plant layout with rectilinear distance measure. To construct automated facility design, eigenvector approach is employed. A branch and bound computer code developed by Tillinghast is modified to find the feasible fits of departments without shape distortion (see [1])in the plant rectangle. The computational results compared with CRAFT are shown.

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제한된 수의 자가차량을 이용한 수송문제의 분지한계법 (A Branch and Bound Algorithm for the Transportation Problem under Limited Company Owned Vehicles)

  • 진희채;박순달
    • 경영과학
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    • 제10권1호
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    • pp.207-216
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    • 1993
  • The purpose of this paper is to develop a branch and bound algorithm for the transportation problem with a limited number of company owned vehicles. First, we find an initial solution by solving quasi-assignment subproblem induced by relaxing constraints of the vehicle capacity and illegal tours elimination equations. Second, we build routing from the assignment, and if there is a routings which violates relaxed constraints, we introduce branches of the subproblem in order to remove it. After all branches are searched, we get the optimal solution.

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기계 배치 문제의 온라인 알고리즘 (An On-line Algorithm for Machine Layout Problem)

  • 왕지남
    • 한국정밀공학회지
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    • 제12권6호
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    • pp.27-36
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    • 1995
  • This paper covers algorithms to determine a machine assignment strategy to locations on a single straight track by minimizing the total backtrack distance. Three different algorithms ar presented: an efficient heuristic procedure, the branch-and-bound algorithm, and the nerual network approach. Simulation results show that the proposed algorithms have potential power to design an on-line optimizer.

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총 납기지연시간 최소화를 위한 두 단계 조립시스템에서의 일정계획에 관한 연구 (A Scheduling Problem to Minimize Total Tardiness in the Two-stage Assembly-type Flowshop)

  • 하귀룡;이익선;윤상흠
    • 한국경영과학회지
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    • 제33권3호
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    • pp.1-16
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    • 2008
  • This paper considers a scheduling problem to minimize the total tardiness in the two-stage assembly-type flowshop. The system is composed of multiple fabrication machines in the first stage and a final-assembly machine in the second stage. Each job consists of multiple tasks, each task is performed on the fabrication machine specified in advance. After all the tasks of a job are finished, the assembly task can be started on the final-assembly machine. The completion time of a job is the time that the assembly task for the job is completed. The objective of this paper is to find the optimal schedule minimizing the total tardiness of a group of jobs. In the problem analysis, we first derive three solution properties to determine the sequence between two consecutive jobs. Moreover, two lower objective bounds are derived and tested along with the derived properties within a branch-and-bound scheme. Two efficient heuristic algorithms are also developed. The overall performances of the proposed properties, branch-and-bound and heuristic algorithms are evaluated through numerical experiments.

분기 한정적인 동적 타임 워핑 기반의 시계열 패턴인식 (Time Series Pattern Recognition based on Branch and Bound Dynamic Time Warping)

  • 장석우;박영재;김계영
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제37권7호
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    • pp.584-589
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    • 2010
  • 시계열 패턴 인식에 일반적으로 많이 사용되는 동적인 타임 워핑 알고리즘은 대부분의 연산시간을 상관표를 작성하는데 소비한다. 그리고 이 연산시간을 줄이고자 전역 경로 제약조건을 설정하여 연산범위에 제한을 두는데, 이것은 패턴의 내용을 고려하지 않은 시간축에 의한 제한이다. 따라서 본 논문에서는 패턴의 형태에 따라 적응적으로 전역 경로 제약조건을 설정하여 보다 효율적으로 패턴인식을 수행하는 분기 한정적인 동적 타임 워핑 알고리즘을 제안한다. 제안된 방법의 성능 평가를 위한 실험에서는 분기 한정적인 동적 타임 워핑 알고리즘이 기존의 동적 타임 워핑 방법과 경로 거리는 유사하면서 연산 시간이 보다 개선되었음을 확인할 수 있었다.

개량된 분기한정법에 의한 고속연산 2차원 상태공간 디지털필터의 설계 (Design of High-Speed 2-D State-Space Digital Filters Based on a Improved Branch-and-Bound Algorithm)

  • 이영호
    • 한국정보통신학회논문지
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    • 제10권7호
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    • pp.1188-1195
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    • 2006
  • 본 논문은 개량된 분기한정법(branch-and bound method)을 이용하여 고속연산이 가능한 2차원 상태공간 디지털 필터의 설계방법을 제안하였다. 설계된 디지털 필터가 갖는 계수행렬의 모든 요소 값들은 오직 2개의 2의 멱수 (powers-of-two) 의 합으로만 표현되어진다. 따라서 제안된 방법으로 설계한 2 차원 상태공간 디지털필터는 간단한 가산연산만으로 수행이 이루어지므로 고속연산이 가능하고, 또한 구조가 간단하며 저가격으로 실현이 가능하다는 장점을 가진다 . 본 논문에서 제안된 방법의 타당성을 설계예시를 통해 고찰한 결과, 설계된 디지털 필터의 근사오차와 군지연특성이 동일한 설계사양으로 연속계수공간에서 설계되어진 디지털필터와 비교하여 유사한 결과를 얻을 수 있었다.

단일 호이스트 생산시스템에서 다양한 주문을 처리하기 위한 분지한계 기반의 휴리스틱 일정계획 (Branch-and-Bound Based Heuristic Scheduling for the Single-Hoist and Multiple-Products Production System)

  • 이정구;김정배;고시근
    • 대한산업공학회지
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    • 제42권3호
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    • pp.173-181
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    • 2016
  • This paper deals with the single-hoist and multiple-products scheduling problem. Although a mixed integer linear programming model for the problem was developed earlier, a branch-and-bound based heuristic algorithm is proposed in this paper to solve the big-size problems in real situation. The algorithm is capable of handling problems incorporating different product types, jobs in the process, and tank capacities. Using a small example problem the procedure of the heuristic algorithm is explained. To assess the performance of the heuristic we generate a bigger example problem and compare the results of the algorithm proposed in this paper with the optimal solutions derived from the mathematical model of earlier research. The comparison shows that the heuristic has very good performance and the computation time is sufficiently short to use the algorithm in real situation.