• 제목/요약/키워드: solution algorithm

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프로젝트 일정에서 선행활동 품질이 후행활동의 시간과 비용에 미치는 문제 - 자원제약이 존재하는 프로젝트 일정문제 - (The Problem of the Quality of the Predecessor Activity on the Time and Cost of the Successor Activity in the Project Schedule - Project Schedule with Resource Constraints -)

  • 김갑식;배병만;안태호
    • 품질경영학회지
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    • 제50권2호
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    • pp.265-286
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    • 2022
  • Purpose: The time and cost of a project activity exists in a selected mode and there is a quality level for the selected mode, and the time and cost of the current activity is determined by the quality level of the preceding activity. When an activity is a predecessor activity of an activity, it is characterized as a trade-off problem in which the time and cost of the activity are determined according to the quality level of the activity. Methods: A neighbor search heuristic algorithm obtains a solution by (1) randomly determining the mode, quality level, and assignment order for each activity. (2) get a solution by improving the solution by changing the possible modes and quality levels; (3) to find a solution by improving the solution from the point where it is feasible to advance the start time. Here, Case[1] is a method to find the optimal solution value after repeating (1). Case [2] is a method for finding a solution including (1) and (2). Case [3] refers to a method for finding solutions including (1), (2), and (3). Results: It can be seen that the value of the objective function presented by the algorithm changes depending on how the model of the heuristic algorithm is designed and applied. In other words, it suggests the importance of algorithm design and proves the importance of the quality problem of activities in the project schedule. Conclusion: A study significance of the optimization algorithm and the heuristic algorithm was applied to the effect of the quality of the preceding activity on the duration and cost of itself and the succeeding activity, which was not addressed in the project schedule problem.

Stack Bin Packing Algorithm for Containers Pre-Marshalling Problem

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제20권10호
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    • pp.61-68
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    • 2015
  • This paper deals with the pre-marshalling problem that the containers of container yard at container terminal are relocated in consensus sequence of loading schedule of container vessel. This problem is essential to improvement of competitive power of terminal. This problem has to relocate the all of containers in a bay with minimum number of movement. There are various algorithms such as metaheuristic as genetic algorithm and heuristic algorithm in order to find the solution of this problem. Nevertheless, there is no unique general algorithm that is suitable for various many data. And the main drawback of metaheuristic methods are not the solution finding rule but can be find the approximated solution with many random trials and by coincidence. This paper can be obtain the solution with O(m) time complexity that this problem deals with bin packing problem for m stack bins with descending order of take out ranking. For various experimental data, the proposed algorithm can be obtain the optimal solutions for all of data. And to conclude, this algorithm can be show that most simple and general algorithm with simple optimal solution finding rule.

A Study on Solution Methods of Two-stage Stochastic LP Problems

  • Lee, Sang-Jin
    • 한국경영과학회지
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    • 제22권1호
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    • pp.1-24
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    • 1997
  • In this paper, we have proposed new solution methods to solve TSLP (two-stage stochastic linear programming) problems. One solution method is to combine the analytic center concept with Benders' decomposition strategy to solve TSLP problems. Another method is to apply an idea proposed by Geoffrion and Graves to modify the L-shaped algorithm and the analytic center algorithm. We have compared the numerical performance of the proposed algorithms to that of the existing algorithm, the L-shaped algorithm. To effectively compare those algorithms, we have had computational experiments for seven test problems.

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An Optimal Solution Algorithm for Capacity Allocation Problem of Airport Arrival-Departure

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제20권10호
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    • pp.77-83
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    • 2015
  • This paper suggests heuristic algorithm to obtain optimal solution of minimum number of delay aircraft in airport arrivals/departures problem. This problem can be solved only mathematical optimization method. The proposed algorithm selects the minimum delays capacity in various airport capacities for number of arrivals/departures aircraft in $i^{th}$ time interval (15 minutes). In details, we apply median selection method and left-right selection method. This algorithm can be get the optimal solution of minimum number of delay aircraft for sixes actual experimental data.

Quantum-behaved Electromagnetism-like Mechanism Algorithm for Economic Load Dispatch of Power System

  • Zhisheng, Zhang;Wenjie, Gong;Xiaoyan, Duan
    • Journal of Electrical Engineering and Technology
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    • 제10권4호
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    • pp.1415-1421
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    • 2015
  • This paper presents a new algorithm called Quantum-behaved Electromagnetism-like Mechanism Algorithm which is used to solve economic load dispatch of power system. Electromagnetism-like mechanism algorithm simulates attraction and repulsion mechanism for particles in the electromagnetic field. Every solution is a charged particle, and it move to optimum solution according to certain criteria. Quantum-behaved electromagnetism-like mechanism algorithm merges quantum computing theory with electromagnetism-like mechanism algorithm. Superposition characteristic of quantum methodology can make a single particle present several states, and the characteristic potentially increases population diversity. Probability representation of quantum methodology is to make particle state be presented according to a certain probability. And the quantum rotation gates are used to realize update operation of particles. The algorithm is tested for 13-generator system and 40-generator system, which validates it can effectively solve economic load dispatch problem. Through performance comparison, it is obvious the solution is superior to other optimization algorithm.

유전자 알고리듬과 K-평균법을 이용한 지역 분할 (Zone Clustering Using a Genetic Algorithm and K-Means)

  • 임동순;오현승
    • 한국경영과학회지
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    • 제23권1호
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    • pp.1-16
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    • 1998
  • The zone clustering problem arising from several area such as deciding the optimal location of ambient measuring stations is to devide the 2-dimensional area into several sub areas in which included individual zone shows simimlar properties. In general, the optimal solution of this problem is very hard to obtain. Therefore, instead of finding an optimal solution, the generation of near optimal solution within the limited time is more meaningful. In this study, the combination of a genetic algorithm and the modified k-means method is used to obtain the near optimal solution. To exploit the genetic algorithm effectively, a representation of chromsomes and appropriate genetic operators are proposed. The k-means method which is originally devised to solve the object clustering problem is modified to improve the solutions obtained from the genetic algorithm. The experiment shows that the proposed method generates the near optimal solution efficiently.

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기동정지계획을 위한 경제급전 알고리즘 (Economic Dispatch Algorithm for Unit Commitment)

  • 박정도;이용훈;김구한;문영현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 C
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    • pp.1506-1509
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    • 1999
  • This paper presents a new economic dispatch algorithm to improve the unit commitment solution while guaranteeing the near optimal solution without reducing calculation speed. The conventional economic dispatch algorithms have the problem that it is not applicable to the unit commitment formulation due to the frequent on/off state changes of units during the unit commitment calculation. Therefore, piecewise linear iterative method have generally been used for economic dispatch algorithm for unit commitment. In that method, the approximation of the generator cost function makes it hard to obtain the optimal economic dispatch solution. In this case, the solution can be improved by introducing a inverse of the incremental cost function. The proposed method is tested with sample system. The results are compared with the conventional piecewise linear iterative method. It is shown that the proposed algorithm yields more accurate and economical solution without calculation speed reduction.

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k-opt를 적용한 차수 제약 최소신장트리 알고리즘 (A Degree-Constrained Minimum Spanning Tree Algorithm Using k-opt)

  • 이상운
    • 한국컴퓨터정보학회논문지
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    • 제20권5호
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    • pp.31-39
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    • 2015
  • 방향 가중 그래프의 차수제약 최소신장트리 (degree-constrained minimum spanning tree, d-MST) 문제는 정확한 해를 구하는 다항시간 알고리즘이 존재하지 않아 NP-완전 문제로 알려져 왔다. 따라서 휴리스틱한 근사 알고리즘을 적용하여 최적 해를 구하고 있다. 본 논문은 차수와 사이클을 검증하는 Kruskal 알고리즘으로 d-MST의 초기 해를 구하고, d-MST의 초기 해에 대해 k-opt를 수행하여 최적 해를 구하는 다항시간 알고리즘을 제안하였다. 제안된 알고리즘을 4개의 그래프에 적용한 결과 2-MST까지 최적 해를 구할 수 있었다.

Transductive SVM을 위한 분지-한계 알고리즘 (A Branch-and-Bound Algorithm for Finding an Optimal Solution of Transductive Support Vector Machines)

  • 박찬규
    • 한국경영과학회지
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    • 제31권2호
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    • pp.69-85
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    • 2006
  • Transductive Support Vector Machine(TSVM) is one of semi-supervised learning algorithms which exploit the domain structure of the whole data by considering labeled and unlabeled data together. Although it was proposed several years ago, there has been no efficient algorithm which can handle problems with more than hundreds of training examples. In this paper, we propose an efficient branch-and-bound algorithm which can solve large-scale TSVM problems with thousands of training examples. The proposed algorithm uses two bounding techniques: min-cut bound and reduced SVM bound. The min-cut bound is derived from a capacitated graph whose cuts represent a lower bound to the optimal objective function value of the dual problem. The reduced SVM bound is obtained by constructing the SVM problem with only labeled data. Experimental results show that the accuracy rate of TSVM can be significantly improved by learning from the optimal solution of TSVM, rather than an approximated solution.

정규 구간선형 방정식을 갖는 저항성 회로의 효율적인 해석 (Efficient Alalysis of Resistive Networks With Canonical Piecewise-Linear Equations)

  • 조준영;조진국;권용세;김영환
    • 전자공학회논문지A
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    • 제31A권12호
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    • pp.142-151
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    • 1994
  • This paper proposes new algorithms to solve canonical piecewise-linear equations with linear partitions and illustrates their efficiency through the analysis of resistive network. The basic idea of the proposed algorithm is to find the best next guess, closest to the actual solution, at each Newton-Raphson (N-R) iteration by comparing the images of nest guess candidates and that of the actual solution. The proposed algorithm can reduce the number of the N-R iterations rquired for convergence greatly, compared to the actual solution, at each Newton-Raphson (N-R) iteration by comparing the images of next guess candidates and that of the actual solution. The proposed algorithm can reduce the number of the N-R iterations required for convergence greatly, compared to the Katzenelson algorithm. When applied to analyzing test circuits, the proposed algorithm required 8 to 20 times fewer N-R iterations and 5 to 10 times less CPU time than the Katzenelson algorithm, depending on the size of the circuits. The experimental results also exhibit that the efficiency of the proposed algorithm over the Katzenelson algorithm increases as the number of the piecewise-linear regions for the representation of the circuit.

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