• 제목/요약/키워드: Generalized assignment problem

검색결과 20건 처리시간 0.021초

컨베이어 분기점에서의 최적 인출 컨베이어 선택 문제 (Optimal Conveyor Selection Problem on a Diverging Conveyor Junction Point)

  • 한용희
    • 산업경영시스템학회지
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    • 제32권3호
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    • pp.118-126
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    • 2009
  • This research investigates the problem of minimizing setup costs in resequencing jobs having first-in, first-out(FIFO) constraints at conveyorized production or assembly systems. Sequence changing at conveyor junctions in these systems is limited due to FIFO restriction. We first define the general problem of resequencing jobs to workstations satisfying precedence relationships between jobs(Generalized Sequential Ordering Problem, GSOP). Then we limit our scope to FIFO precedence relationships which is the conveyor selection problem at a diverging junction(Diverging Sequential Ordering Problem, DSOP), modeling it as a 0-1 integer program. With the capacity constraint removed, we show that the problem can be modeled as an assignment problem. In addition, we proposed and evaluated the heuristic algorithm for the case where the capacity constraint cannot be removed. Finally, we discuss the case study which motivated this research and numerical results.

이진배낭문제의 크바탈-고모리 부등식 분리문제에 대한 발견적 기법 (Separation Heuristic for the Rank-1 Chvatal-Gomory Inequalities for the Binary Knapsack Problem)

  • 이경식
    • 대한산업공학회지
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    • 제38권2호
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    • pp.74-79
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    • 2012
  • An efficient separation heuristic for the rank-1 Chvatal-Gomory cuts for the binary knapsack problem is proposed. The proposed heuristic is based on the decomposition property of the separation problem for the fixedcharge 0-1 knapsack problem characterized by Park and Lee [14]. Computational tests on the benchmark instances of the generalized assignment problem show that the proposed heuristic procedure can generate strong rank-1 C-G cuts more efficiently than the exact rank-1 C-G cut separation and the exact knapsack facet generation.

신경망을 이용한 제조셀 형성 알고리듬 (A Manufacturing Cell Formantion Algorithm Using Neural Networks)

  • 이준한;김양렬
    • 경영과학
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    • 제16권1호
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    • pp.157-171
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    • 1999
  • In a increasingly competitive marketplace, the manufacturing companies have no choice but looking for ways to improve productivity to sustain their competitiveness and survive in the industry. Recently cellular manufacturing has been under discussion as an option to be easily implemented without burdensome capital investment. The objective of cellular manufacturing is to realize many aspects of efficiencies associated with mass production in the less repetitive job-shop production systems. The very first step for cellular manufacturing is to group the sets of parts having similar processing requirements into part families, and the equipment needed to process a particular part family into machine cells. The underlying problem to determine the part and machine assignments to each manufacturing cell is called the cell formation. The purpose of this study is to develop a clustering algorithm based on the neural network approach which overcomes the drawbacks of ART1 algorithm for cell formation problems. In this paper, a generalized learning vector quantization(GLVQ) algorithm was devised in order to transform a 0/1 part-machine assignment matrix into the matrix with diagonal blocks in such a way to increase clustering performance. Furthermore, an assignment problem model and a rearrangement procedure has been embedded to increase efficiency. The performance of the proposed algorithm has been evaluated using data sets adopted by prior studies on cell formation. The proposed algorithm dominates almost all the cell formation reported so far, based on the grouping index($\alpha$ = 0.2). Among 27 cell formation problems investigated, the result by the proposed algorithm was superior in 11, equal 15, and inferior only in 1.

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종속형제어기의 영점의 영향을 고려한 저차제어기의 설계: 특성비지정 접근법 (A Design Method Reducing the Effect of Zeros of a Cascaded Three-Parameters Controller: The Characteristic Ratio Assignment Approach)

  • 김려화;이관호;김영철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 학술대회 논문집 정보 및 제어부문
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    • pp.158-160
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    • 2005
  • This paper presents a new approach to the problem of designing a cascaded three-parameters controller for a given linear time invariant (LTD plant in unity feedback system. We consider a proportional-integral-derivative (PID) and a first-order controller with specified overshoot and settling time. This problem is difficult to solve because there may be no analytical solution due to the use of low-order controller and furthermore. the zeros of controller just appear in the zeros of feedback system. The key idea of our method is to impose a constraint on the controller parameters so that the zeros of resulting controller are distant from the dominant pole of closed-loop system to the left as far as the given interval. Two methods realizing the idea are suggested. We have employed the characteristic ratio assignment (CRA) in order to deal with the time response specifications. It is noted that the proposed methods are accomplished only in parameter space. Several illustrative examples are given.

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종속형제어기의 영점의 영향을 고려한 3-파라미터 제어기의 설계: 특성비지정 접근법 (A Design Method Reducing the Effect of Zeros of a Cascaded Three-Parameters Controller: The Characteristic Ratio Assignment Approach)

  • 진이화;이관호;김영철
    • 대한전기학회논문지:시스템및제어부문D
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    • 제55권1호
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    • pp.20-23
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    • 2006
  • This paper presents a new approach to the problem of designing a cascaded three-parameters controller for a given linear time invariant (LTI) plant in unity feedback system. We consider a proportional-integral-derivative (PID) and a first-order controller with the specified overshoot and settling time. This problem is difficult to solve because there may be no analytical solution due to the use of low-order controller. Furthermore, the zeros of controller just appear in the zeros of feedback system. The key idea of our method is to impose a constraint on the controller parameters so that the zeros of resulting controller are distant from the dominant pole of closed-loop system to the left as far as the given interval. Two methods realizing the idea are suggested. We have employed the characteristic ratio assignment (CRA) in order to deal with the time response specifications. It is noted that the proposed methods are accomplished only in parameter space. Several illustrative examples are given.

단조 스텝응답을 주는 연속계 전달함수의 합성조건 : 가설 (A Synthesis Condition of Continuous Transfer Function for Monotonic Step Response : Hypothesis)

  • 한상용;조태신;우영태;김영철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 A
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    • pp.127-130
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    • 2003
  • In this paper, a hypothesis in order that the impulse response of a stable linear system does not change sign is suggested. For fixed zeros of the systems, the problem of synthesizing such a system is reduced to the problem of finding a proper denominator polynomial so that the step response of the overall system will not overshoot. The hypothesis is associated with the generalized time constant by Kim[5]. Under the hypothesis, we propose several methods that allow to compose a continuous time LTI systems achieving non-negative impulse response.

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작업효율을 만족하고 작업량 평준화를 고려한 작업자할당 방법에 관한 연구 (The Worker Scheduling Scheme for Maximum Work Efficiency with Workloads Balancing Consideration)

  • 이홍철;안재명
    • 한국경영과학회지
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    • 제22권4호
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    • pp.115-131
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    • 1997
  • The problem addressed in this paper is to minimize the deviations of workloads assigned to worker and to maximize the total utilizations(degree of skill) between workers and machines simultaneously. Each worker can handle the set of machines with the different degree of skill and each machine has the workloads needed to be processed. Also, each worker has to be assigned to at least one machine with the minimum workload deviation. This problem can be formulated as a preemptive goal programming with generalized assignment constraints. The proposed algorithm consists of two phases. First, a capacitated circulation network is constructed to assign the workers to machines with the maximum total utilizations while considering workloads balance. Then, a refinement process is applied to the split machines to satisfy the feasibility condition. The real industrial application in a plastic extrusion manufacturer is included along with several computational experiments.

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소프트 제약을 포함하는 조립라인 밸런싱 문제 최적화 (Optimizing Assembly Line Balancing Problems with Soft Constraints)

  • 최성훈;이근철
    • 산업경영시스템학회지
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    • 제41권2호
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    • pp.105-116
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    • 2018
  • In this study, we consider the assembly line balancing (ALB) problem which is known as an very important decision dealing with the optimal design of assembly lines. We consider ALB problems with soft constraints which are expected to be fulfilled, however they are not necessarily to be satisfied always and they are difficult to be presented in exact quantitative forms. In previous studies, most researches have dealt with hard constraints which should be satisfied at all time in ALB problems. In this study, we modify the mixed integer programming model of the problem introduced in the existing study where the problem was first considered. Based on the modified model, we propose a new algorithm using the genetic algorithm (GA). In the algorithm, new features like, a mixed initial population selection method composed of the random selection method and the elite solutions of the simple ALB problem, a fitness evaluation method based on achievement ratio are applied. In addition, we select the genetic operators and parameters which are appropriate for the soft assignment constraints through the preliminary tests. From the results of the computational experiments, it is shown that the proposed algorithm generated the solutions with the high achievement ratio of the soft constraints.

주파수 재할당 문제 해결을 위한 타부 서치 알고리듬 개발 (Tabu Search Algorithm for Frequency Reassignment Problem in Mobile Communication Networks)

  • 한정희
    • 대한산업공학회지
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    • 제31권1호
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    • pp.1-9
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    • 2005
  • This paper proposes the heuristic algorithm for the generalized GT problems to consider the restrictions which are given the number of machine cell and maximum number of machines in machine cell as well as minimum number of machines in machine cell. This approach is split into two phase. In the first phase, we use the similarity coefficient which proposes and calculates the similarity values about each pair of all machines and sort these values descending order. If we have a machine pair which has the largest similarity coefficient and adheres strictly to the constraint about birds of a different feather (BODF) in a machine cell, then we assign the machine to the machine cell. In the second phase, we assign parts into machine cell with the smallest number of exceptional elements. The results give a machine-part grouping. The proposed algorithm is compared to the Modified p-median model for machine-part grouping.

수도권 도시철도 수입금 정산 분석모형 (A Revenue Allocation Model for the Integrated Urban Rail System in the Seoul Metropolitan)

  • 신성일;노현수;조종석
    • 대한교통학회지
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    • 제23권5호
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    • pp.157-167
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    • 2005
  • 서울시 통합대중교통체계개편에 의한 준공영제 및 거리비례오금제의 시행으로 대중교통 수입금정산문제가 한국철도공사, 서울지하철공사, 서울특별시도시철도공사, 인천지하철공사의 기존도시철도운영기관의 수입금 배분 문제가 내재된 상태에서 버스와 도시철도의 수단간 배분문제까지 포함하는 복잡한 문제로 전개되었다. 또한 추가로 계획되고 있는 민자노선, 지자체의 경전철 도입계획으로 향후 대중교통수입금 정산은 보다 다양한 운영기관 및 지역의 협상문제로서 매우 복잡하게 전개될 것으로 예상되고 있다. 본 연구는 대중교통운영기관의 수입금 배정의 기본접근모형을 제시하는 것으로, 운영기관이 통합대중교통망에서의 승객수송에 기여한 정도를 파악하는 것을 핵심으로 하고 있다. 이를 위해 향후 전자지불시스템이 완비되었을 상황을 가정하여 이때에서 환승구간 때문에 승객의 통행행태가 파악되지 않는 수도권 도시철도로 한정하여 역간의 (복수의) 통행경로를 파악하고 수요를 배정하여 운영기관의 인-Km등의 기여도를 계산하는 방안을 제안하다. 본 연구의 주요내용을 요약하면 다음과 같다. 1. 도시철도의 승객의 환승행태를 반영한 일반화 비용. 2. 역간 유사경로결정을 위한 K경로알고리즘. 3. 유사경로에 수요배정모형.