• 제목/요약/키워드: Branch and Bound

검색결과 288건 처리시간 0.031초

분기 한정법에 의한 송전계통의 확충 계획 (Transmission System Expansion Planning Using Branch and Bound)

  • 트란트룬 틴;강성록;김근호;이지훈;최재석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 A
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    • pp.46-49
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    • 2003
  • This paper proposes a method to solve expansion problem for a transmission network, given future generation and load strategy, and alternative types of lines available, subject to load, reliability and right of way constraints, the problem is formulated as a series of zero one integer programs which are solved by an efficient branch and bound algorithm A study test result on the 63-buses test system shows that the proposed method is practical and efficiently applicable to the transmission expansion planning.

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A study on the column subtraction method applied to ship scheduling problem

  • Hwang, Hee-Su;Lee, Hee-Yong;Kim, Si-Hwa
    • 한국항해항만학회지
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    • 제28권2호
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    • pp.129-133
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    • 2004
  • Column subtraction, originally proposed by Harche and Thompson(1994), is an exact method for solving large set covering, packing and partitioning problems. Since the constraint set of ship scheduling problem(SSP) have a special structure, most instances of SSP can be solved by LP relaxation This paper aim, at applying the column subtraction method to solve SSP which am not be solved by LP relaxation For remained instances of unsolvable ones, we subtract columns from the finale simplex table to get another integer solution in an iterative manner. Computational results having up to 10,000 0-1 variables show better performance of the column subtraction method solving the remained instances of SSP than complex branch and-bound algorithm by LINDO.

집합 피복 공식화를 이용한 명제논리의 만족도 문제에 대한 계산실험 연구 (An Empirical Study for Satisfiability Problems in Propositional Logic Using Set Covering Formulation)

  • 조건
    • 한국경영과학회지
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    • 제27권4호
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    • pp.87-109
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    • 2002
  • A satisfiability problem in propositional logic is the problem of checking for the existence of a set of truth values of atomic prepositions that renders an input propositional formula true. This paper describes an empirical investigation of a particular integer programming approach, using the set covering model, to solve satisfiability problems. Our satisfiability engine, SETSAT, is a fully integrated, linear programming based, branch and bound method using various symbolic routines for the reduction of the logic formulas. SETSAT has been implemented in the integer programming shell MINTO which, in turn, uses the CPLEX linear programming system. The logic processing routines were written in C and integrated into the MINTO functions. The experiments were conducted on a benchmark set of satisfiability problems that were compiled at the University of Ulm in Germany. The computational results indicate that our approach is competitive with the state of the art.

다단계 병렬 흐름생산시스템에서 이송크기가 2이상인 경우의 제품별 로트 투입순서 결정 (Transfer Batch Scheduling for a Flexible Flowshop with Identical Parallel Machines at Each Stage)

  • 김중순
    • 한국경영과학회지
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    • 제25권2호
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    • pp.33-46
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    • 2000
  • The problem of scheduling n independent jobs on serial stages with identical parallel machines at each stage is considered. Each job lot is allocated evenly to all machines at each stage for processing and moved in transfer batches between states., This scheduling strategy is called an identical production pattern. The objective is to find a permutation schedule that minimizes makespan. A branch and bound algorithm is suggested to find an optimal permutation schedule for a transformed problem A number examples is presented to illustrate the branch and bound algorithm, Computational results for 640 problems generated randomly show that within a resonable time the suggested algorithm can be used for transfer batch scheduling in a flexible flowshop.

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입찰 평가 문제의 배정-변경 최적화 (Assignment-Change Optimization for the Problem of Bid Evaluation)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제21권4호
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    • pp.171-176
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    • 2021
  • 본 논문은 설비 설치비용과 판매단가로 구성된 다수의 구매처 입찰정보로부터 구성품을 구매함에 있어 최소의 비용으로 구매하기 위해 구매처와 구매 물량을 선정하는 입찰평가 문제를 다룬다. 이 문제에 대해 기존에 알려진 방법은 분기한정 법(BB)과 분기절단 법(BC)이 알려져 있다. 그러나 이들 방법으로 얻은 해가 최적 해가 되지 않는 문제점이 있다. 본 논문에서는 판매단가 순위 또는 설치비용 순위 우선 구매물량 배정원칙을 적용하여 초기 실현 가능 해를 얻고, 판매단가 또는 설치비용을 고려하여 물량을 이동(구매업체 변경)시키는 최적화를 수행하는 방법을 제시하였다. 제안된 방법을 실험 데이터에 적용한 결과 BB와 BC에 비해 구매비용을 크게 절감할 수 있었다.

An Achievement rate Approach to Linear Programming Problems with Convex Polyhedral Objective Coefficients

  • Inuiguchi, Masahiro;Tanino, Tetsuzo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.501-505
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    • 1998
  • In this paper, an LP problem with convex polyhedral objective coefficients is treated. In the problem, the interactivities of the uncertain objective coefficients are represented by a bounded convex polyhedron (a convex polytope). We develop a computation algorithm of a maxmin achievement rate solution. To solve the problem, first, we introduce the relaxation procedure. In the algorithm, a sub-problem, a bilevel programing problem, should be solved. To solve the sub-problem, we develop a solution method based on a branch and bound method. As a result, it is shown that the problem can be solved by the repetitional use of the simplex method.

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PCB 생산라인에서의 호이스트 스케쥴링을 위한 유전자알고리즘의 응용

  • 임준묵
    • 한국산업정보학회논문지
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    • 제1권1호
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    • pp.29-62
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    • 1996
  • In this paper, the problem of determining cyclic schedules for a material handling hoist in the printed-circuit-board(PCB) electroplating line is considered. The objective of this research is to determine an optimal simple-cycle schedule of the hoist which in turn maximizes the line throughput rate. Previous approaches to the cyclic hoist scheduling problem are all mathematical programming-based approaches to develop cyclic schedules(Mixed Integer Programming, Linear Programming based Branch and Bound, Branch and Bound Search Method and so on). In this paper, a genetic algorithm-based approach for a single hoist scheduling in the PCB electroplating line is described. Through some experiments for the well known example data and randomly generated data, the proposed algorithm is shown to be more efficient than the previous mathematical programming-based algorithm.

컴플리트 링키지 알고리즘을 이용한 교육시설물 BTL사업 유지관리번들 구성방안에 관한 연구 (A Study on Maintenance Bundle Alternatives of BTL Project for Educational Facilities Using Complete Linkage Algorithm)

  • 조창연;손재호
    • 교육시설
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    • 제15권3호
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    • pp.4-16
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    • 2008
  • BTL(Build-Transfer-Lease) Project for Education Facilities is contracted as a package which consists of several education facilities and its maintenance period is 20 years. Thus, total cost variation largely depends on the accuracy of the maintenance cost forecasting in the early stage in the life cycle of the BTL Projects. This research develops a method using complete linkage algorithm and branch & bound algorithm to help in finding optimal bundling combination. The result of this research suggests more reasonable and effective forecasting method for the maintenance bundle in BTL projects.

데이타베이스의 물리적 설계에서 분지한계법을 이용한 n-ary 수직분할문제 (Branch-and-bound method for solving n-ary vertical partitioning problems in physical design of database)

  • 윤병익;김재련
    • 대한산업공학회지
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    • 제22권4호
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    • pp.567-578
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    • 1996
  • In relational databases the number of disk accesses depends on the amount of data transferred from disk to main memory for processing the transactions. N-ary vertical partitioning of the relation can often result in a decrease in the number of disk accesses, since not all attributes in a tuple are required by each transactions. In this paper, a 0-1 integer programming model for solving n-ary vertical partitioning problem minimizing the number of disk accesses is formulated and a branch-and-bound method is used to solve it. A preprocessing procedure reducing the number of variables is presented. The algorithm is illustrated with numerical examples and is shown to be computationally efficient. Numerical experiments reveal that the proposed method is more effective in reducing access costs than the existing algorithms.

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분지한정법에 의한 전력계통의 최소비용에 관한 연구 (A Study on Minimum Cost Expansion Planning of Power System by Branch and Bound Method)

  • 송길영;최재석
    • 대한전기학회논문지
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    • 제33권1호
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    • pp.9-16
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    • 1984
  • This paper describes the minimum cost expansion planning which is based on the economical aspect under the various conditions on the power system expansion planning. It presents not only linear cost characteristics analysis but also stepwise cost characteristics analysis which satisfies practical condition in the power system. The latter analysis must be handled by integer programming (IP), because the relation between the cost and the capacity has stepwise characteristics. In order to proceed the latter analysis, the solving procedure is illustrated in detais by using branch and bound method which includes the network flow theory and maximum flow-minimum cut theorem.

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