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

검색결과 191건 처리시간 0.024초

자동생산시스템에서 총비용을 최소로 하는 가공방법의 선택문제 (Optimal Selection of Process Plan to Minimize Total Cost in Automated Manufacturing Systems)

  • 박수관;이근희
    • 산업경영시스템학회지
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    • 제15권25호
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    • pp.41-51
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    • 1992
  • Most of the planing models for automated manufacturing systems are based on the assumption that for each part there is only one process method available Really. for a part to be manufactured in an automated manufacturing system, a number of different process methods can be generated, each of which may require specific types of tools and auxiliary devices such as fixtures, grippers and feeders. In this paper, An optimal algorithm for the selection of a set of process methods with the minimum corresponding manufacturing cost and minimal number of tools and auxiliary devices Is proposed. The proposed optimal algorithm is based on branch and bound method which is one of the optimal solution methods.

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유전알고리즘을 이용한 발전기 예방정비계획 수립에 관한 연구 (A Study on Generator Maintenance Scheduling using Genetic Algo)

  • 박시우;송경빈;남재현;전동훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 D
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    • pp.781-783
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    • 1997
  • Genetic Algorithm is a kind of an evolution programming based on natural evolution principle. It applied to probabilistic searching, machine learning and optimization, and many good results were reported. Generator maintenance scheduling is an optimization Problem with constraints. This paper applied a genetic algorithm to generator maintenance scheduling problem and tested on sample systems. The results are compared with heuristic method and branch-and-bound method.

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Solving Integer Programming Problems Using Genetic Algorithms

  • Anh Huy Pham Nguyen;Bich San Chu Tat;Triantaphyllou E
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2004년도 ICEIC The International Conference on Electronics Informations and Communications
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    • pp.400-404
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    • 2004
  • There are many methods to find solutions for Integer Programming problems (IPs) such as the Branch-Bound philosophy or the Cutting Plane algorithm. However, most of them have a problem that is the explosion of sets in the computing process. In addition, GA is known as a heuristic search algorithm for solutions of optimization problems. It is started from a random initial guess solution and attempting to find one that is the best under some criteria and conditions. The paper will study an artificial intelligent method to solve IPs by using Genetic Algorithms (GAs). The original solution of this was presented in the papers of Fabricio Olivetti de Francaand and Kimmo Nieminen [2003]. However, both have several limitations which causes could be operations in GAs. The paper proposes a method to upgrade these operations and computational results are also shown to support these upgrades.

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무기 목표물 배정 문제의 최대 치사인원 선택 알고리즘 (Maximum Kill Selection Algorithm for Weapon Target Assignment (WTA) Problem)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제19권2호
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    • pp.221-227
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    • 2019
  • 무기 목표물 배정 문제는 지금까지 다항시간 알고리즘이 제안되지 않는 NP-hard 문제로 알려져 왔다. 그럼에도 불구하고, 본 문제에 대해 가능한 모든 경우수를 검증하는 Brute-Force 법이나 분기한정법으로 최적 해를 구하거나 유전자 알고리즘, 입자군 최적화 등의 인공지능 방법으로 근사 해를 구하는 방법들이 제안되고 있다. 본 논문에서는 단지 무기의 총 대수 k, 무기 종류 수 m, 목표물 개수 n에 대해 O(mn)을 k회 수행하는 O(kmn) 다항시간으로 최적 해를 구하는 알고리즘을 제안하였다. 제안된 알고리즘은 Brute-Force 법에 비해 수행횟수를 최소화 시킬 뿐 아니라 최적해도 구하는 장점을 갖고 있다.

호의 색칠문제의 해법 (An Algorithm for the Edge Coloring Problem)

  • 박성수
    • 대한산업공학회지
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    • 제18권2호
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    • pp.43-49
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    • 1992
  • Edge coloring problem is to find a minimum cardinality coloring of the edges of a graph so that any pair of edges incident to a common node do not have the same colors. Edge coloring problem is NP-hard, hence it is unlikely that there exists a polynomial time algorithm. We formulate the problem as a covering of the edges by matchings and find valid inequalities for the convex hull of feasible solutions. We show that adding the valid inequalities to the linear programming relaxation is enough to determine the minimum coloring number(chromatic index). We also propose a method to use the valid inequalities as cutting planes and do the branch and bound search implicitly. An example is given to show how the method works.

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회로 최소화를 위한 개선된 Quine-McCluskey 알고리즘 (An Improved Quine-McCluskey Algorithm for Circuit Minimization)

  • 이상운
    • 한국컴퓨터정보학회논문지
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    • 제19권3호
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    • pp.109-117
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    • 2014
  • 본 논문은 회로 최소화 문제에 대한 Quine-McCluskey 법을 개선한 알고리즘을 제안하였다. Quine-McCluskey 법은 주 내포 항을 반복적인 방법으로 찾고, 회로 최소화 방법으로 시행착오법, 분기한정법 또는 Petrick 법을 적용한다. 반면에 제안된 알고리즘은 사전에 항표를 생성하여 주 내포 항을 간단히 찾는 방법을 제안하였으며, 집합피복을 결정하는 방법을 적용하여 1차와 2차 필수 주 내포 항을 간단히 찾는 방법을 제안하였다. 3-변수와 4-변수 실험 데이터에 적용한 결과 제안된 알고리즘이 Quine-McCluskey 법에 비해 보다 간단하면서도 정확히 해를 구할 수 있었다.

Investment Scheduling of Maximizing Net Present Value of Dividend with Reinvestment Allowed

  • Sung, Chang-Sup;Song, Joo-Hyung;Yang, Woo-Suk
    • 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.

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Task Assignment Strategies for a Complex Real-time Network System

  • Kim Hong-Ryeol;Oh Jae-Joon;Kim Dae-Won
    • International Journal of Control, Automation, and Systems
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    • 제4권5호
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    • pp.601-614
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    • 2006
  • In this paper, a study on task assignment strategies for a complex real-time network system is presented. Firstly, two task assignment strategies are proposed to improve previous strategies. The proposed strategies assign tasks with meeting end-to-end real-time constraints, and also with optimizing system utilization through period modulation of the tasks. Consequently, the strategies aim at the optimizationto optimize of system performance with while still meeting real-time constraints. The proposed task assignment strategies are devised using the genetic algorithmswith heuristic real-time constraints in the generation of new populations. The strategies are differentiated by the optimization method of the two objectives-meeting end-to-end real-time constraints and optimizing system utilization: the first one has sequential genetic algorithm routines for the objectives, and the second one has one multiple objective genetic algorithm routine to find a Pareto solution. Secondly, the performances of the proposed strategies and a well-known existing task assignment strategy using the BnB(Branch and Bound) optimization are compared with one other through some simulation tests. Through the comparison of the simulation results, the most adequate task assignment strategies are proposed for some as system requirements-: the optimization of system utilization, the maximization of running tasktasks, and the minimization of the number of network node nodesnumber for a network system.

복수 차량 유형에 대한 차량경로문제의 정수계획 해법 (Integer Programming Approach to the Heterogeneous Fleet Vehicle Routing Problem)

  • 최은정;이태한;박성수
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 2002년도 춘계공동학술대회
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    • pp.179-184
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    • 2002
  • We consider the heterogeneous fleet vehicle routing problem (HVRP), a variant of the classical vehicle routing problem (VRP). The HVRP differs from the classical VRP in that it deals with a heterogeneous fleet of vehicles having various capacities, fixed costs, and variables costs. Therefore the HVRP is to find the fleet composition and a set of routes with minimum total cost. We give an integer programming formulation of the problem and propose an algorithm to solve it. Although the formulation has exponentially many variables, we can efficiently solve the linear programming relaxation of it by using the column generation technique. To generate profitable columns we solve a shortest path problem with capacity constraints using dynamic programming. After solving the linear programming relaxation, we apply a branch-and-bound procedure. We test the proposed algorithm on a set of benchmark instances. Test results show that the algorithm gives best-known solutions to almost all instances.

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Self-Sensing Composites and Optimization of Composite Structures in Japan

  • Todoroki, Akira
    • International Journal of Aeronautical and Space Sciences
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    • 제11권3호
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    • pp.155-166
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    • 2010
  • I review research on self-sensing and structural optimizations of laminated carbon/epoxy composites in Japan. Self-sensing is one of the multiple functions of composites; i.e., carbon fiber is used as a sensor as well as reinforcement. I present a controversial issue in self-sensing and detail research results. Structural optimization of laminated CFRP composites is indispensable in reducing the weights of modern aerospace structural components. I present a modified efficient global search method using the multi-objective genetic algorithm and fractal branch and bound method. My group has focused its research on these subjects and our research results are presented here.