• Title/Summary/Keyword: K Shortest Path Algorithm

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Multiobjective Routing and Scheduling for Vehicles Transporting Hazardous Materials (위험물 운송차량의 다목적 경로 및 스케줄 관리 방안)

  • Sin, Seong-Il
    • Journal of Korean Society of Transportation
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    • v.25 no.5
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    • pp.161-172
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    • 2007
  • Vehicles transporting hazardous materials can make huge damage to people, properties and environment by traffic accidents. Therefore, transporting hazardous materials is a big issue with the cutting edge technology of communications in these days. However, despite this situation, Korean government gives limited efforts for systematic management, research and investment about hazardous materials. Accordingly, this research suggests the key path finding algorithm about management of real-time schedule and routes for vehicles transporting hazardous materials. Besides, the case study is progressed in transportation networks of Seoul in order to evaluate the reality of algorithm. Specifically, time-space network transformation is performed for time window attributes. In addition, this study proposes the techniques searching for non-dominated paths considering schedule by the multiobjective shortest path algorithm based on dynamic programming in dynamic transportation networks including multiobjective attributes.

Optimization of Transportation Problem in Dynamic Logistics Network

  • Chung, Ji-Bok;Choi, Byung-Cheon
    • Journal of Distribution Science
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    • v.14 no.2
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    • pp.41-45
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    • 2016
  • Purpose - Finding an optimal path is an essential component for the design and operation of smart transportation or logistics network. Many applications in navigation system assume that travel time of each link is fixed and same. However, in practice, the travel time of each link changes over time. In this paper, we introduce a new transportation problem to find a latest departing time and delivery path between the two nodes, while not violating the appointed time at the destination node. Research design, data, and methodology - To solve the problem, we suggest a mathematical model based on network optimization theory and a backward search method to find an optimal solution. Results - First, we introduce a dynamic transportation problem which is different with traditional shortest path or minimum cost path. Second, we propose an algorithm solution based on backward search to solve the problem in a large-sized network. Conclusions - We proposed a new transportation problem which is different with traditional shortest path or minimum cost path. We analyzed the problem under the conditions that travel time is changing, and proposed an algorithm to solve them. Extending our models for visiting two or more destinations is one of the further research topics.

Finding Shortest Paths in L$^1$ Plane with Parallel Roads (평행한 도로들을 포함하는 L$^1$ 평면상에서의 최단경로 탐색)

  • Kim, Jae-Hoon;Kim, Soo-Hwan
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • v.9 no.1
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    • pp.716-719
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    • 2005
  • We present an algorithm for finding shortest paths in the L$_1$ plane with a transportation network. The transportation network consists of parallel line segments, called highways, through which a movement gets faster. Given a source point s, our algorithm constructs a Shortest Path Map(SPM) such that for any query point t, we can find the length of a shortest path form s to t in O(log n) time. We design a plane sweep-like algorithm computing SPM in O(nlog n) time.

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Design and Implementation of the Postal Route Optimization System Model (우편 경로 최적화 시스템 모델 설계 및 구현)

  • Nam, Sang-U
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.6
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    • pp.1483-1492
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    • 1996
  • In this paper, related on the postal business with the GIS(Geographics Information System), it discusses design and implementation of the PROS(Postal Route Optimization System) model and its main module, the shortest path generation algorithm, for supporting to postal route managements. It explains examples requirements of postal route system, and suggests the efficient PROS model using our developed shortest path generation algorithm. Because the shortest path algorithm adopts not only consider the Dijkstra algorithm of graph theory, but also the method with the direction property, PROS can be implemented with fast and efficient route search. PROS is mainly constituted of the Shortest Generator, the Isochronal Area Generator, and the Path Rearrangement Generator. It also exploits the GIS engine and the spatial DBMS (Data Base Management System) for processing coordinates in the map and geographical features. PROS can be used in the management of postal delivery business and delivery area and route, and in the rearrangement of route. In the near future, it can be also applied to commercial delivery businesses, guides of routs and traffic informations, and auto navigation system with GPS(Global Positioning System).

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DEVELOPMENT OF A NEW PATH PLANNING ALGORITHM FOR MOBILE ROBOTS USING THE ANT COLONY OPTIMIZATION AND PARTICLE SWARM OPTIMIZATION METHOD (ACO와 PSO 기법을 이용한 이동로봇 최적화 경로 생성 알고리즘 개발)

  • Lee, Jun-Oh;Ko, Jong-Hoon;Kim, Dae-Won
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.77-78
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    • 2008
  • This paper proposes a new algorithm for path planning and obstacles avoidance using the ant colony optimization algorithm and the particle swarm optimization. The proposed algorithm is a new hybrid algorithm that composes of the ant colony algorithm method and the particle swarm optimization method. At first, we produce paths of a mobile robot in the static environment. And then, we find midpoints of each path using the Maklink graph. Finally, the hybrid algorithm is adopted to get a shortest path. We prove the performance of the proposed algorithm is better than that of the path planning algorithm using the ant colony optimization only through simulation.

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DEVELOPMENT OF A NEW OPTIMAL PATH PLANNING ALGORITHM FOR MOBILE ROBOTS USING THE ANT COLONY OPTIMIZATION METHOD (개미 집단 최적화 기법을 이용한 이동로봇 최적 경로 생성 알고리즘 개발)

  • Lee, Jun-Oh;Ko, Jong-Hoon;Kim, Dae-Won
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.311-312
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    • 2007
  • This paper proposes a new algorithm for path planning and obstacles avoidance using the ant colony optimization algorithm. The proposed algorithm is a new hybrid algorithm that composes of the ant colony algorithm method and the Maklink graph method. At first, we produce the path of a mobile robot a the static environment. And then we find midpoints of each path using the Maklink graph. Finally the ant colony optimization algorithm is adopted to get a shortest path. In this paper, we prove the performance of the proposed algorithm is better than that of the Dijkstra algorithm through simulation.

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On Finding a Convenient Path in the Hierarchical Road Network

  • Sung, Ki-Seok;Park, Chan-Kyoo;Lee, Sang-Wook;Doh, Seung-Yong;Park, Soon-Dal
    • Management Science and Financial Engineering
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    • v.12 no.2
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    • pp.87-110
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    • 2006
  • In a hierarchical road network, all roads can be classified according to their attributes such as speed limit, number of lanes, etc. By splitting the whole road network into the subnetworks of the highlevel and low-level roads, we can reduce the size of the network to be calculated at once, and find a path in the way that drivers usually adopt when searching out a travel route. To exploit the hierarchical property of road networks, we define a convenient path and propose an algorithm for finding convenient paths. We introduce a parameter indicating the driver's tolerance to the difference between the length of a convenient path and that of a shortest convenient path. From this parameter, we can determine how far we have to search for the entering and exiting gateway. We also propose some techniques for reducing the number of pairs of entries and exits to be searched in a road network. A result of the computational experiment on a real road network is given to show the efficiency of the proposed algorithm.

Path Planning of a Mobile Robot Using RF Strength in Sensor Networks (센서 네트워크를 활용한 모바일 로봇의 Path Planning)

  • Wee, Sung-Gil;Kim, Yoon-Gu;Lee, Ki-Dong;Choi, Jung-Won;Park, Ju-Hyun;Lee, Suk-Gyu
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.2
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    • pp.63-70
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    • 2009
  • This paper proposes a novel path finding approach of a mobile robot using RF strength in sensor network. In the experiments based on the proposed method, a mobile robot attempts to find its location, heading direction and the shortest path in the indoor environment. The experimental system consisting of mesh network shares node data and send them to base station. The triangulation and the proposed Grid method calculate the location and heading angle of the robot. In addition, the robot finds the shortest path by using the base station attached on it to receive data of environment around each node. Kalman filter reduces the straight line error when the robot estimates the strength of received signal. The experimental results show the effectiveness of the proposed algorithm.

Improved Route Search Method Through the Operation Process of the Genetic Algorithm (유전 알고리즘의 연산처리를 통한 개선된 경로 탐색 기법)

  • Ji, Hong-il;Seo, Chang-jin
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.64 no.4
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    • pp.315-320
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    • 2015
  • Proposal algorithm in this paper introduced cells, units of router group, for distributed processing of previous genetic algorithm. This paper presented ways to reduce search delay time of overall network through cell-based genetic algorithm. As a result of performance analysis comparing with existing genetic algorithm through experiments, the proposal algorithm was verified superior in terms of costs and delay time. Furthermore, time for routing an alternative path was reduced in proposal algorithm, in case that a network was damaged in existing optimal path algorithm, Dijkstra algorithm, and the proposal algorithm was designed to route an alternative path faster than Dijkstra algorithm, as it has a 2nd shortest path in cells of the damaged network. The study showed that the proposal algorithm can support routing of alternative path, if Dijkstra algorithm is damaged in a network.

An Eulerian Cycle Algorithm for Chinese Postman Problem

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.7
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    • pp.47-52
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    • 2016
  • This paper introduces an algorithm to construct an Eulerian cycle for Chinese postman problem. The Eulerian cycle is formed only when all vertices in the graph have an even degree. Among available algorithms to the Eulerian cycle problem, Edmonds-Johnson's stands out as the most efficient of its kind. This algorithm constructs a complete graph composed of shortest path between odd-degree vertices and derives the Eulerian cycle through minimum-weight complete matching method, thus running in $O({\mid}V{\mid}^3)$. On the contrary, the algorithm proposed in this paper selects minimum weight edge from edges incidental to each vertex and derives the minimum spanning tree (MST) so as to finally obtain the shortest-path edge of odd-degree vertices. The algorithm not only runs in simple linear time complexity $O({\mid}V{\mid}log{\mid}V{\mid})$ but also obtains the optimal Eulerian cycle, as the implementation results on 4 different graphs concur.