• 한국정보통신학회논문지
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• 제13권12호
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• pp.2525-2532
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• 2009

본 논문에서는 uncoded V-BLAST(Vertical Bell Laboratories Layered Space Time) 시스템에서 PSK 신호들을 joint-detection하기 위한 fast sphere decoder를 제안한다. 이른바 PSD라 불리는 제안된 디코더는 예비처리단계와 검색단계로 구성된다. PSD의 검색단계에서는 depth-first branch and bound 알고리즘을 통해 검출 후보가 되는 신호원들의 최상우선순위(best-first order)를 정하고 이 순위에 따라 신호를 검출하게 된다. 이 때 제안된 디코더는 최상우선순위(best-first order)를 정하는데 있어 계산복잡성을 줄이는 새로운 방법을 제안한다. 시뮬레이션 결과는 PSD에 의해 시스템의 복잡성은 줄이면서 시스템 성능은 ML과 동일하게 유지할 수 있음을 보여준다.

• Industrial Engineering and Management Systems
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• 제8권4호
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• pp.239-246
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• 2009

This paper deals with the makespan minimization problem of job shops. The problem is known as one of hard problems to optimize, and therefore, many heuristic methods have been proposed by many researchers. The aim of this study is also to propose a heuristic scheduling method for the problem. However, the difference between the proposed method and many other heuristics is that the proposed method is based on depth-first branch and bound, and thus it is possible to find an optimal solution at least in principle. To accelerate the search, when a node is judged hopeless in the search tree, the proposed flexible branch and bound method can indicate a higher backtracking node. The unexplored nodes are stored and may be explored later to realize the strict optimization. Two methods are proposed to generate the backtracking point based on the critical path of the current best feasible schedule, and the minimum lower bound for the makespan in the unexplored sub-problems. Schedules are generated based on Giffler and Thompson's active schedule generation algorithm. Acceleration of the search by the flexible branch and bound is confirmed by numerical experiment.

• 대한산업공학회지
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• 제18권2호
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• pp.141-147
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• 1992

This article evaluates the efficiency of three branch-and-bound heuristics for a job scheduling problem that minimizes the sum of absolute deviations of completion times from a common due date. To improve the performance of the branch-and-bound procedure, Algorithm SA is presented for the initial feasible schedule and three heuristics : breadth-first, depth-first and best-first search are investigated depending on the candidate selection procedure. For the three heuristics the CPU time, memory space, and the number of nodes generated are computed and tested with nine small examples (6 ${\leq}$ n ${\leq}$ 4). Medium sized random problems (10 ${\leq}$ n ${\leq}$ 30) are also generated and examined. The computational results are compared and discussed for the three heuristics.

• 한국경영과학회지
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• 제23권2호
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• pp.83-101
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• 1998

Assembly U-lines are increasingly accepted in industry, especially just-in-time production systems, for the efficient utilization of workforce. In this paper, we present an integer programming formulation and a branch-and-bound method for balancing the U-line with the objective of minimizing the number of workstations with a fixed cycle time. In the mathematical model, we provide the method that can reduce the number of variables and constraints. The proposed branch-and-bound method searches the optimal solution based on a depth-first-search. To efficiently search for the optimal solutions to the problems, an assignment rule is used in the method. Bounding strategies and dominance rules are also utilized. Some problems require a large amount of computation time to find the optimal solutions. For this reason. some heuristic fathoming rules are also proposed. Extensive experiments with test-bed problems in the literature are carried out to show the performance of the proposed method. The computational results show that our method is promising in solution quality.

• 한국경영과학회지
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• 제16권2호
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• pp.86-102
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• 1991

The purpose of this paper is to present a branch and bound algorithm for the hierarchical transportation network design problem in 2-level directed networks. This problem is to find the least cost of hierarchical transportation networks which consist of a primary path and a secondary path. The primary path is a simple path from a prespecified orgin node to a prespecified terminal node. All nodes must be either a transsipment node on the primary path or connected to that path via secondary arcs. This problem is formulated to a 0-1 inter programming problem with assignment and illegal subtour elimination equations as constaints. We show that the subproblem relaxing subtour elimination constraints is transformed to a linear programming problem by means of the totally unimodularity. Optimal solutions of this subproblem are polynoially obtained by the assignment algorithm and complementary slackness conditions. Therefore, the optimal value of this subproblme is used as a lower bound. When an optimal solution of the subproblem has an illegal subtour, a better disjoint rule is adopted as the branching strategy for reducing the number of branched problems. The computational comparison between the least bound rule and the depth first rule for the search strategy is given.

• 콘크리트학회지
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• 제5권4호
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• pp.167-178
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• 1993

본 논문의 목적은 R.C.보 최적설계에 이산수학계획법을 적용하여 상세설계를 포함하는 실제설계의 가능성을 연구하기 위한 것이다. 이산최적문제에서 설계변수로는 단면의 총높이, 폭, 유효높이 및 길이방향철근의 단면적 그리고 전단철근의 단면적과 길이 방향철근의 절단점과 같은 상세변수 등이 고려되었다. 목적함수는 경비함수로 취했으며, 제약조건으로는 강도설계법에 의한 설계휨강도, 전단강도, 연성, 사용성, 콘크리트 덮개 및 철근간격, 복부보강 그리고 정착길이와 길이방향철근의 절단점 등에 관한 시방서 요구사항을 고려하여 문제를 형성하였다. 이산변수를 갖는 최적설계를 효율적으로 실행하기 위해 첫째단계에서 Feasible Direction Methed를 이용하여 연속최적해를 구했으며, 둘째단계에서 분기한계법(Branch and bound method)을 이용하여 이산최적해를 얻는 최적화 알고리즘을 제안하였다. 제안된 알고리즘의 신뢰도를 검증하기 위해 2개의 이산설계변수를 갖는 수치예에 적용하여 도해법 및 rounde-up method와 그 결과를 비교하였고, 단순지지된 R.C.보 및 2경간연속 R.C.보에 적용하여 제안된 알고리즘의 신뢰도, 효율성 및 적용성을 입증하였다.

• 산업경영시스템학회지
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• 제13권21호
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• pp.91-100
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• 1990

This paper is concerned with the development of optimal algorithms for multi-stage flowshop scheduling problems with sequence dependent setup times. In the previous researches the setup time of a job is considered to be able to begin at the earliest opportunity given a particular sequence at the start of operations. In this paper the setup time of a job is considered to be able to begin only at the completion of that job on the previous machine to reflect the effects of the setup time to the performance measure of sequence dependent setup time flowshop scheduling. The results of the study consist of two areas; first, a general integer programming(IP) model is formulated and a nixed integer linear programming(MILP) model is also formulated by introducing a new binary variable. Second a depth-first branch and bound algorithm is developed. To reduce the computational burdens we use the best heuristic schedule developed by Choi(1989) as the first trial. The experiments for developed algorithm are designed for a 4$\times$3$\times$3 factorial design with 360 observations. The experimental factors are PS(ratio of processing time to setup time), M(number of machines), N(number of jobs).

• 한국경영과학회:학술대회논문집
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• 한국경영과학회/대한산업공학회 2005년도 춘계공동학술대회 발표논문
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• pp.506-516
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• 2005

This paper deals with an investment scheduling problem of maximizing net present value of dividend with reinvestment allowed, where each investment has certain capital requirement and generates deterministic profit. Such deterministic profit is calculated at completion of each investment and then allocated into two parts, including dividend and reinvestment, at each predetermined reinvestment time point. The objective is to make optimal scheduling of investments over a fixed planning horizon which maximizes total sum of the net present values of dividends subject to investment precedence relations and capital limit but with reinvestment allowed. In the analysis, the scheduling problem is transformed to a kind of parallel machine scheduling problem and formulated as an integer programming which is proven to be NP-complete. Thereupon, a depth-first branch-and-bound algorithm is derived. To test the effectiveness and efficiency of the derived algorithm, computational experiments are performed with some numerical instances. The experimental results show that the algorithm solves the problem relatively faster than the commercial software package (CPLEX 8.1), and optimally solves the instances with up to 30 investments within a reasonable time limit.