• 제목/요약/키워드: Quadratic assignment problem

검색결과 18건 처리시간 0.021초

Quadratic Assignment Problem 의 해법(解法) 및 응용(應用) (A Heuristic Algorithm for the Quadratic Assignment Problem and its Application)

  • 황학;전치혁
    • 대한산업공학회지
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    • 제5권1호
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    • pp.45-51
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    • 1979
  • This paper presents a heuristic solution procedure for the quadratic assignment problem, ranking procedure, which can handle the case where not all of the facilities have the same size of area. The ranking procedure is found more efficient than two other existing heuristic procedures from results of computational experience. Based on the out-patients flow pattern and the procedure developed, an improved layout of the three existing general hospitals is developed with the objective of minimizing the total distance travelled by patients in the central and the out-patient clinic.

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랜덤형 2차원 할당문제의 최소 거리-최대 물동량 배정 알고리즘 (The Min-Distance Max-Quantity Assignment Algorithm for Random Type Quadratic Assignment Problem)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제18권3호
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    • pp.201-207
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    • 2018
  • 2차원 할당 문제는 다항시간 알고리즘이 알려지지 않은 NP-완전 문제이다. 본 논문은 위치간 거리가 일정하지 않은 랜덤형 2차원 할당 문제의 최적 해를 $O(n^2)$ 수행 복잡도로 찾을 수 있는 알고리즘을 제안하였다. 제안된 알고리즘은 단순히 거리 합을 오름차순으로, 물동량 합을 내림차순으로 정렬하여 1:1 매치시킨 최소 거리 위치에 최대 물동량 시설을 배정하는 전략을 수행하고, 위치별 거리와 시설별 물동량 상관관계를 최적으로 반영하기 위해 시설들을 교환하는 전략을 적용하였다. 실험 데이터에 적용한 결과, 제안 알고리즘은 $O(n^2)$의 다항시간 알고리즘임에도 불구하고 메타휴리스틱 방법의 일종인 유전자 알고리즘의 해를 개선할 수 있었다.

On a pole assignment of linear discrete time system

  • Shin, Jae-Woong;Shimemura, Etsujiro;Kawasaki, Naoya
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.884-889
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    • 1989
  • In this paper, a new procedure for selecting weighting matrices in linear discrete time quadratic optimal control problem (LQ-problem) is proposed. In LQ-problems, the quadratic weighting matrices are usually decided on trial and error in order to get a good response. But using the proposed method, the quadratic weights are decided in such a way that all poles of the closed loop system are located in a desired region for good responses as well as for stability and values of the quadratic cost function are kept less then a specified value.

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허브 공항의 환승객을 고려한 최적 주기장 배정에 관한 연구 (A Study on the Optimal Gate Assignment with Transit Passenger in Hub Airport)

  • 이희남;이창호
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회/대한산업공학회 2003년도 춘계공동학술대회
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    • pp.402-408
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    • 2003
  • Now many major airports in the world which operate strategic alliance or Hub & Spoke system have met capacity restriction and confusion problems. And the time and the walking distance for boarding to flight are important standard to measure customer convenience. And the effective gate assignment guarantees customers convenience as well as increasing airport capacity without expanding established airport equipments. So it can be a major concern to manage airports. So this paper formulate gate assignment problem in the hub airport not quadratic assignment problem but a improved single-period integer problem which is minimize local and transit passengers I walking distance. As a result, this study will present a method producing optimal gate assignment result using optimization software. We use real flights and gates data in the national airport, so we will compare a assignment results with a real airport assignment results and previous researches and analyze those results.

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The Random Type Quadratic Assignment Problem Algorithm

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제21권4호
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    • pp.81-88
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    • 2016
  • The optimal solution of quadratic assignment problem (QAP) cannot get done in polynomial time. This problem is called by NP-complete problem. Therefore the meta-heuristic techniques are applied to this problem to get the approximated solution within polynomial time. This paper proposes an algorithm for a random type QAP, in which the instance of two nodes are arbitrary. The proposed algorithm employs what is coined as a max flow-min distance rule by which the maximum flow node is assigned to the minimum distance node. When applied to the random type QAP, the proposed algorithm has been found to obtain optimal solutions superior to those of the genetic algorithm.

설비배치안 작성을 위한 유전 알고리즘에 관한 연구 (A Genetic Algorithm for the Quadratic Assignment Formulation to the Facility Layout Problem)

  • 홍관수;권성우
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 1997년도 추계학술대회 발표논문집:21세기를 향한 정보통신 기술의 전망
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    • pp.535-552
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    • 1997
  • The facility layout problem has the goal of locating the different facilities in a floor to achieve the greatest efficiency in producing a product or service. This problem is usually formulated as the quadratic assignment problem(QAP). However, the problem of finding optimal layout is hard and traditional approaches are not computationally feasible. In this paper, a genetic algorithm is presented for obtaining efficient layouts. To test the effectiveness of the algorithm, a set of examples is solved and the results are compared to those from other Known algorithms. The comparison indicates that the proposed method performs well for the classical test problems.

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그리드형 2차 할당문제 알고리즘 (The Grid Type Quadratic Assignment Problem Algorithm)

  • 이상운
    • 한국컴퓨터정보학회논문지
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    • 제19권4호
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    • pp.91-99
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    • 2014
  • 본 논문은 2차 할당 문제의 최적 해를 찾을 수 있는 휴리스틱 다항시간 알고리즘을 제안하였다. 일반적으로 선형 할당 문제의 최적 해는 헝가리안 알고리즘으로 구한다. 그러나 2차 할당문제의 최적 해를 찾는 알고리즘은 제안되지 않고 있다. 제안된 알고리즘은 거리행렬의 단위거리로부터 그리드 형태의 배치를 찾아내고, 이 형태에 맞도록 흐름량 행렬의 최대 값부터 내림차순으로 최대흐름을 최소 거리에 배치하는 최대흐름/최소거리 기법을 적용하였다. 제안된 알고리즘을 다양한 그리드형 2차 할당문제에 적용한 결과 2차 할당문제의 해를 다항시간에 구할 수 있는 알고리즘이 존재할 가능성을 보였다.

A method for deciding weighting matrices in a linear discrete time optimal regulator problems to locate all poles in the specified region

  • Shin, Jae-Woong;Shimemura, Etsujiro;Kawasaki, Naoya
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국제학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.729-733
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    • 1988
  • In this paper, a new procedure for selecting weighting matrices in linear discrete time quadratic optimal control problems (LQ-problem) is proposed. In LQ problems, the quadratic weighting matrices are usually decided on trial and error in order to get a good response. But using the proposed method, the quadratic weights are decided in such a way that all poles of the closed loop system are located in a desired area for good responses as well as for stability and values of the quadratic cost functional are kept less then a specified value. The closed loop systems constructed by this method have merits of LQ problems as well as those of pole assignment problems. Taking into consideration that little is known about the relationship among the quadratic weights, the poles and the values of cost functional, this procedure is also interesting from the theoretical point of view.

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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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Heavy-Weight Component First Placement Algorithm for Minimizing Assembly Time of Printed Circuit Board Component Placement Machine

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제21권3호
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    • pp.57-64
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    • 2016
  • This paper deals with the PCB assembly time minimization problem that the PAP (pick-and-placement) machine pickup the K-weighted group of N-components, loading, and place into the PCB placement location. This problem considers the rotational turret velocity according to component weight group and moving velocity of distance in two component placement locations in PCB. This paper suggest heavy-weight component group first pick-and-place strategy that the feeder sequence fit to the placement location Hamiltonean cycle sequence. This algorithm applies the quadratic assignment problem (QAP) that considers feeder sequence and location sequence, and the linear assignment problem (LAP) that considers only feeder sequence. The proposed algorithm shorten the assembly time than iATMA for QAP, and same result as iATMA that shorten the assembly time than ATMA.