• 제목/요약/키워드: Combinatorial optimization problem

검색결과 201건 처리시간 0.029초

승객 수송 문제의 최적화 (Optimization of Passenger Transportation Problem)

  • 박준혁;김병인;김성배
    • 산업공학
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    • 제23권2호
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    • pp.139-146
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    • 2010
  • In this paper, we present the study of a real passenger transportation system. Passenger transportation problem aims to transport passengers from bus stops to their destinations by a fleet of vehicles while satisfying various constraints such as vehicle capacity, maximum allowable riding time in a bus, and time windows at destinations. Our problem also has special issues such as mixed loading, consideration of afternoon problem together with morning problem, and transferring passengers between vehicles. Our solution approach consists of three serial procedures: bus route generation, bus scheduling, and post optimization. Efficient heuristic algorithms were developed and implemented for the procedures. The proposed solution approach has been successfully applied to several real world problem instances and could reduce about 10% to 15% of buses.

CSP와 SA를 이용한 Job Shop 일정계획에 관한 연구 (A Study on the Job Shop Scheduling Using CSP and SA)

  • 윤종준;손정수;이화기
    • 산업경영시스템학회지
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    • 제23권61호
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    • pp.105-114
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    • 2000
  • Job Shop Problem which consists of the m different machines and n jobs is a NP-hard problem of the combinatorial optimization. Each job consists of a chain of operations, each of which needs to be processed during an uninterrupted time period of a given length on a given machine. Each machine can process at most one operation at a time. The purpose of this paper is to develop the heuristic method to solve large scale scheduling problem using Constraint Satisfaction Problem method and Simulated Annealing. The proposed heuristic method consists of the search algorithm and optimization algorithm. The search algorithm is to find the solution in the solution space using CSP concept such as backtracking and domain reduction. The optimization algorithm is to search the optimal solution using SA. This method is applied to MT06, MT10 and MT20 Job Shop Problem, and compared with other heuristic method.

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유전해법을 이용한 비선형최적화 문제의 효율적인 해법 (An Efficient Method for Nonlinear Optimization Problems using Genetic Algorithms)

  • 임승환;이동춘
    • 산업경영시스템학회지
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    • 제20권44호
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    • pp.93-101
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    • 1997
  • This paper describes the application of Genetic Algorithms(GAs) to nonlinear constrained mixed optimization problems. Genetic Algorithms are combinatorial in nature, and therefore are computationally suitable for treating discrete and integer design variables. But, several problems that conventional GAs are ill defined are application of penalty function that can be adapted to transform a constrained optimization problem into an unconstrained one and premature convergence of solution. Thus, we developed an improved GAs to solve this problems, and two examples are given to demonstrate the effectiveness of the methodology developed in this paper.

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Optimization Algorithms for Site Facility Layout Problems Using Self-Organizing Maps

  • Park, U-Yeol;An, Sung-Hoon
    • 한국건축시공학회지
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    • 제12권6호
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    • pp.664-673
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    • 2012
  • Determining the layout of temporary facilities that support construction activities at a site is an important planning activity, as layout can significantly affect cost, quality of work, safety, and other aspects of the project. The construction site layout problem involves difficult combinatorial optimization. Recently, various artificial intelligence(AI)-based algorithms have been applied to solving many complex optimization problems, including neural networks(NN), genetic algorithms(GA), and swarm intelligence(SI) which relates to the collective behavior of social systems such as honey bees and birds. This study proposes a site facility layout optimization algorithm based on self-organizing maps(SOM). Computational experiments are carried out to justify the efficiency of the proposed method and compare it with particle swarm optimization(PSO). The results show that the proposed algorithm can be efficiently employed to solve the problem of site layout.

FPTAS and pseudo-polynomial separability of integral hull of generalized knapsack problem

  • 홍성필
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2004년도 추계학술대회 및 정기총회
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    • pp.225-228
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    • 2004
  • The generalized knapsack problem, or gknap is the combinatorial optimization problem of optimizing a nonnegative linear functional over the integral hull of the intersection of a polynomially separable 0 - 1 polytope and a knapsack constraint. Among many potential applications, the knapsack, the restricted shortest path, and the restricted spanning tree problem are such examples. We prove via the ellipsoid method the equivalence between the fully polynomial approximability and a certain pseudo-polynomial separability of the gknap polytope.

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Inverse Bin-Packing Number Problems: Polynomially Solvable Cases

  • Chung, Yerim
    • Management Science and Financial Engineering
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    • 제19권1호
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    • pp.25-28
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    • 2013
  • Consider the inverse bin-packing number problem. Given a set of items and a prescribed number K of bins, the inverse bin-packing number problem, IBPN for short, is concerned with determining the minimum perturbation to the item-size vector so that all the items can be packed into K bins or less. It is known that this problem is NP-hard (Chung, 2012). In this paper, we investigate some special cases of IBPN that can be solved in polynomial time. We propose an optimal algorithm for solving the IBPN instances with two distinct item sizes and the instances with large items.

그룹-스타이너-트리 문제의 수학적 모형에 대한 연구 (A Comparison of Group Steiner Tree Formulations)

  • 명영수
    • 대한산업공학회지
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    • 제37권3호
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    • pp.191-197
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    • 2011
  • The group Steiner tree problem is a generalization of the Steiner tree problem that is defined as follows. Given a weighted graph with a family of subsets of nodes, called groups, the problem is to find a minimum weighted tree that contains at least one node in each group. We present some existing and some new formulations for the problem and compare the relaxations of such formulations.

진화 알고리즘을 이용한 경수로 폐연료의 중수로 재사용을 위한 최적 조합 탐색에 관한 연구 (A Study for searching optimized combination of Spent light water reactor fuel to reuse as heavy water reactor fuel by using evolutionary algorithm)

  • 안종일;정경숙;정태충
    • 지능정보연구
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    • 제3권2호
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    • pp.1-9
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    • 1997
  • 본 논푼에서는 경수로 원자력 발전소의 사용 후 핵연료를 중수로의 핵연료로 재사용하기 위해 사용 후 경수로 핵연료의 최적 조합을 찾는데 진화 알고리즘(Evolutionary Algorithm)을 이용하여 해결해 보고자 한다. 진화 알고리즘은 대규모 문제 공간에서 최적화 문제를 해결하는데 적합한 알고리즘이다. 사용 후 경수로 핵연료에는 중수로에서 사용할 수 있는 유용한 원자들을 많이 포함하고 있지만 핵연료 봉마다 그 함량이 다양하고, 중수로 연료가 되기 위한 제약 조건 때문에 최적 조합 전략이 펼요하다. 사용후 핵연료의 조합 문제는 알고리즘 분야에서 대표적인 조합 최적화 문제인 0/1 Knapsack문제와 같이 Non-Polynomial (NP) Complete문제에 해당한다. 이러한 문제를 해결하기 위해셔는 고전적언 전화 알고리즘의 전략에 기반하여 랜덤 연산자를 이용하되 평가 함수 값이 좋은 방향으로만 탐색을 수행하는 방법이 있으나 이것은 탐색의 효율면에셔 좋지 않다. 따라서 본 연구에서는 벡터 연산자를 이용하여 최적의 해를 보다 빨리 얻을 수 있는 휴리스틱을 사용하는 방법을 제안한다. 본 논문에서는 경수로 핵연료 조합 문제 영역의 모든 지식을 벡터화하여 벡터의 연산만으로 가능성 검사, 해를 평가 하는 방법을 소개한다. 또한 벡터 휴리스틱이 고전적인 진화 알고리즘에 비해 어느 정도의 성능을 보이는지 비교한다.

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Throughput maximization for underlay CR multicarrier NOMA network with cooperative communication

  • Manimekalai, Thirunavukkarasu;Joan, Sparjan Romera;Laxmikandan, Thangavelu
    • ETRI Journal
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    • 제42권6호
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    • pp.846-858
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    • 2020
  • The non-orthogonal multiple access (NOMA) technique offers throughput improvement to meet the demands of the future generation of wireless communication networks. The objective of this work is to further improve the throughput by including an underlay cognitive radio network with an existing multi-carrier NOMA network, using cooperative communication. The throughput is maximized by optimal resource allocation, namely, power allocation, subcarrier assignment, relay selection, user pairing, and subcarrier pairing. Optimal power allocation to the primary and secondary users is accomplished in a way that target rate constraints of the primary users are not affected. The throughput maximization is a combinatorial optimization problem, and the computational complexity increases as the number of users and/or subcarriers in the network increases. To this end, to reduce the computational complexity, a dynamic network resource allocation algorithm is proposed for combinatorial optimization. The simulation results show that the proposed network improves the throughput.

병렬 CES를 이용한 QAP 해법 (Solution of quadratic assignment problem using parallel combinatorial variant of evolution strategy)

  • 박래정;이현;박철훈
    • 전자공학회논문지C
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    • 제34C권5호
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    • pp.66-70
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    • 1997
  • This paper presents a parallel combinatorial variant of evolution strategy (PCES) to solve well-known combinatorial optimization problems, Quadratic assignment problems (QAPs). The PCES reduces the possibility of getting stuck in local minima due to maintenance of subpopulation and thus it is more effective than the CES. Experiment results on two benchmark problems show that the PCES is better than the cES and the genetic algorithm(GA).

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