• 제목/요약/키워드: Shortest Path Problem

검색결과 242건 처리시간 0.022초

시간제약이 있는 상금 획득 외판원 문제에 대한 동적 계획 접근 방법 (Dynamic Programming Approach for Prize Colleting Travelling Salesman Problem with Time Windows)

  • 태현철;김병인
    • 산업공학
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    • 제24권2호
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    • pp.112-118
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    • 2011
  • This paper introduces one type of prize collecting travelling salesman problem with time windows (PCTSPTW), proposes a mixed integer programming model for the problem, and shows that the problem can be reduced to the elementary shortest path problem with time windows and capacity constraints (ESPPTC). Then, a new dynamic programming algorithm is proposed to solve ESPPTC quickly. Computational results show the effectiveness of the proposed algorithm.

Optimal Scheduling in Power-Generation Systems with Thermal and Pumped-Storage Hydroelectric Units

  • Kim, Sehun;Rhee, Minho
    • 한국경영과학회지
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    • 제15권1호
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    • pp.99-115
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    • 1990
  • This paper is concerned with the unit commitment problem in an electric power system with both thermal and pumped-storage hydroelectric units. This is a mixed integer programming problem and the Lagrangean relaxation method is used. We show that the relaxed problem decomposes into two kinds of subproblems : a shortest-path problem for each thermal unit and a minimum cost flow problem for each pumped-storage hydroelectric unit. A method of obtaining an incumbenet solution from the solution of a relaxed problem is presented. The Lagrangean multipliers are updated using both subgradient and incremental cost. The algorithm is applied to a real Korean power generation system and its computational results are reported and compaired with other works.

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Implementation of a Mobile Robot Using Landmarks

  • Kim, Sang-Ju;Lee, Jang-Myung
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.252-255
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    • 2003
  • In this paper, we suggest the method for a service robot to move safely from an initial position to n goal position in the wide environment like a building. There is a problem using odometry encoder sensor to estimate the position of n mobile robot in the wide environment like a building. Because of the phenomenon of wheel's slipping, a encoder sensor has the accumulated error of n sensor measurement as time. Therefore the error must be compensated with using other sensor. A vision sensor is used to compensate the position of a mobile robot as using the regularly attached light's panel on a building's ceiling. The method to create global path planning for a mobile robot model a building's map as a graph data type. Consequently, we can apply floyd's shortest path algorithm to find the path planning. The effectiveness of the method is verified through simulations and experiments.

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자바를 이용한 그래프 검색 알고리즘의 시각화 (Visualization of Graph Search Algorithm using Java)

  • 정연진;전상현;김은규;이광모;최홍식
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2001년도 춘계학술발표논문집 (하)
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    • pp.1165-1168
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    • 2001
  • 최단경로문제(Shortest Path Problem)는 네트???p에서 하나 혹은 그 이상의 노드들의 쌍 사이에서 가장 짧은 경로, 가장 저렴한 경로 또는 가장 신뢰할 만한 경로를 찾을 때 고려된다. 컴퓨터나 통신망들은 edge-weighted 그래프로 대치될 수 있으며 그렇게 함으로써 최단 경로를 찾아줄 수 있다. 통신 링크는 실제 실패할 수도 있고, 또한 전송될 데이터의 양에 따라 전달되는 시간이 달라지기도 하므로, 가장 신뢰할만한 경로 중에서 가장 빠른 경로(The Quickest Most Reliable Path) 문제와 가장 빠른 경로 중에서 가장 신뢰할만한 경로(The Most Reliable Quickest Path) 문제는 최단경로문제보다 더 현실적이다[1]. 이 논문에서는 그 중 '가장 신뢰할만한 경로 중에서 가장 빠른 경로' 문제를 자바를 사용하여 시각화함으로써 가변 상황에 따라 다른 경로를 찾아주는 과정을 보여준다.

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천장 전등패널 기반 로봇의 주행오차 보정과 제어 (Control and Calibration for Robot Navigation based on Light's Panel Landmark)

  • 진태석
    • 한국산업융합학회 논문집
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    • 제20권2호
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    • pp.89-95
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    • 2017
  • In this paper, we suggest the method for a mobile robot to move safely from an initial position to a goal position in the wide environment like a building. There is a problem using odometry encoder sensor to estimate the position of a mobile robot in the wide environment like a building. Because of the phenomenon of wheel's slipping, a encoder sensor has the accumulated error of a sensor measurement as time. Therefore the error must be compensated with using other sensor. A vision sensor is used to compensate the position of a mobile robot as using the regularly attached light's panel on a building's ceiling. The method to create global path planning for a mobile robot model a building's map as a graph data type. Consequently, we can apply floyd's shortest path algorithm to find the path planning. The effectiveness of the method is verified through simulations and experiments.

A* 알고리즘을 이용한 기관실 순찰로봇의 최단 경로 탐색에 관한 연구 (Study on the Shortest Path finding of Engine Room Patrol Robots Using the A* Algorithm)

  • 김선덕
    • 해양환경안전학회지
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    • 제28권2호
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    • pp.370-376
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    • 2022
  • 기술의 발전으로 스마트 선박과 관련된 다양한 연구가 진행되고 있으며, 기관실을 무인으로 순찰할 수 있는 기관실 순찰 로봇도 이러한 연구 중의 하나이다. 순찰로봇은 인공지능을 통해 학습된 정보를 기반으로 기관실을 이동하며 기기 정상 유무 및 누수, 누유, 화재 등의 이상 유무를 파악한다. 기관실 순찰로봇에 관한 연구는 인공지능을 이용한 객체 검출에 관한 연구가 주로 진행되고 있으나, 순찰로봇의 이동 및 제어에 관한 연구는 부족한 상황이다. 이는 순찰로봇이 객체를 검출하더라도 검출한 객체까지 이동할 방법이 없다는 문제를 야기한다. 이에 본 논문에서는 기관실 이상상황 발생 시 빠르게 이상 유무를 파악할 수 있는 기동성을 확보하기 위해, A* 알고리즘을 적용하여 순찰로봇이 최단경로를 탐색할 수 있는지를 확인하였다. 라이다를 장착한 소형차를 이용하여 선박 기관실을 주행하며 데이터를 얻어, SLAM으로 매핑하여 지도를 만들었다. 매핑한 지도에서 순찰로봇의 출발 지점과 목표 지점을 설정하고, A* 알고리즘을 적용하여 출발 지점부터 목표 지점까지 최단 경로를 탐색하는지를 확인하였다. 시뮬레이션 결과 매핑된 지도에서 출발 지점부터 목표 지점까지의 장애물을 회피하며 최단 경로를 잘 탐색함을 확인 할 수 있었으며, 기관실 순찰로봇에 적용하면 선박안전에 도움이 될 것으로 사료된다.

일대다 연결 고려한 ATM 망에서의 최적 루팅 (An Optimal Routing for Point to Multipoint Connection Traffics in ATM Networks)

  • 정성진;홍성필;정후상;김지호
    • 대한산업공학회지
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    • 제25권4호
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    • pp.500-509
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    • 1999
  • In this paper, we consider an optimal routing problem when point-to-point and point-to-multipoint connection traffics are offered in an ATM network. We propose a mathematical model for cost-minimizing configuration of a logical network for a given ATM-based BISDN. Our model is essentially identical to the previous one proposed by Kim(Kim, 1996) which finds a virtual-path configuration where the relevant gains obtainable from the ATM technology such as the statistical multiplexing gain and the switching/control cost-saving gain are optimally traded-off. Unlike the Kim's model, however, ours explicitly considers the VP's QoS(Quality of Service) for more efficient utilization of bandwidth. The problem is a large-scale, nonlinear, and mixed-integer problem. The proposed algorithm is based on the local linearization of equivalent-capacity functions and the relaxation of link capacity constraints. As a result, the problem can be decomposed into moderate-sized shortest path problems, Steiner arborescence problems, and LPs. This fact renders our algorithm a lot faster than the previous nonlinear programming algorithm while the solution quality is maintained, hence application to large-scale network problems.

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Balancing assembly line in an electronics company

  • 박경철;강석훈;박성수;김완희
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 1993년도 추계학술대회발표논문집; 서강대학교, 서울; 25 Sep. 1993
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    • pp.12-19
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    • 1993
  • In general, the line balancing problem is defined as of finding an assignment of the given jobs to the workstations under the precedence constraints given to the set of jobs. Usually, the objective is either minimizing the cycle time under the given number of workstations or minimizing the number of workstations under the given cycle time. In this paper, we present a new type of an assembly line balancing problem which occurs in an electronics company manufacturing home appliances. The main difference of the problem compared to the general line balancing problem lies in the structure of the precedence given to the set of jobs. In the problem, the set of jobs is partitioned into two disjoint subjects. One is called the set of fixed jobs and the other, the set of floating jobs. The fixed jobs should be processed in the linear order and some pair of the jobs should not be assigned to the same workstations. Whereas, to each floating job, a set of ranges is given. The range is given in terms of two fixed jobs and it means that the floating job can be processed after the first job is processed and before the second job is processed. There can be more than one range associated to a floating job. We present a procedure to find an approximate solution to the problem. The procedure consists of two major parts. One is to find the assignment of the floating jobs under the given (feasible) assignment of the fixed jobs. The problem can be viewed as a constrained bin packing problem. The other is to find the assignment of the whole jobs under the given linear precedence on the set of the floating jobs. First problem is NP-hard and we devise a heuristic procedure to the problem based on the transportation problem and matching problem. The second problem can be solved in polynomial time by the shortest path method. The algorithm works in iterative manner. One step is composed of two phases. In the first phase, we solve the constrained bin packing problem. In the second phase, the shortest path problem is solved using the phase 1 result. The result of the phase 2 is used as an input to the phase 1 problem at the next step. We test the proposed algorithm on the set of real data found in the washing machine assembly line.

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그래프 감소를 위한 auction 알고리즘에 관한 연구 (A study on auctio algorithms for reduced graph)

  • 김현기;하기종;우경환;류기한;이천희
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 하계종합학술대회논문집
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    • pp.787-790
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    • 1998
  • In this paper we consider strongly polynomial variations of the auction algorithm for the single origin/all destinations shortest path problem. These variations are based on the idea of graph reduction, that is, deleting unnecessary arcs of the graph by using certain bounds naturally obtained in the course of the algorithm. We study the structure of the reduced graph and we exploit this structure to obtain algorithm with O(n min{m, nlogn}) and O(n$^{2}$) running time.

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모바일 센서 네트워크에서 최단거리 멀티홉 전송을 위한 강한연결 클러스터 기법 (Strong Connection Clustering Scheme for Shortest Distance Multi-hop Transmission in Mobile Sensor Networks)

  • 우매리
    • 한국멀티미디어학회논문지
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    • 제21권6호
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    • pp.667-677
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    • 2018
  • Since sensor networks consist of sensor nodes with limited energy resources, so efficient energy use of sensor nodes is very important in the design of sensor networks. Sensor nodes consume a lot of energy for data transmission. Clustering technique is used to efficiently use energy in data transmission. Recently, mobile sink techniques have been proposed to reduce the energy load concentrated on the cluster header near a sink node. The CMS(Cluster-based Mobile sink) technique minimizes the generation of control messages by creating a data transmission path while creating clusters, and supports the inter-cluster one-hop transmission. But, there is a case where there is no connectivity between neighbor clusters, it causes a problem of having a long hop data transmission path regardless of local distance. In this paper, we propose a SCBC(Strong connection balancing cluster) to support the path of the minimum number of hops. The proposed scheme minimizes the number of hops in the data transmission path and supports efficient use of energy in the cluster header. This also minimizes a number of hops in data transmission paths even when the sink moves and establishes a new path, and it supports the effect of extending the life cycle of the entire sensor network.