• Title/Summary/Keyword: Shortest-Path Algorithm

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Shortest Path Calculation Using Parallel Processor System (병력구조 전산기를 이용한 최단 경로 계산)

  • 서창진;이장규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.6
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    • pp.230-237
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    • 1985
  • Shortest path calculations for a large-scale network have to be performed using a decomposition techniqre, since the calculations require large memory size which increases by the square of the number of vertices in the network. Also, the calculation time increases by the cube of the number of vertices in the network. In the decomposition technique,the network is broken into a number of smaller size subnetworks for each of which shortest paths are computed. A union of the solutions provides the solution of the original network. In all of the decomposition algirithms developed up to now, boundary vertices which divide all the subnetworks have to be included in computing shortest paths for each subnetwork. In this paper, an improved algorithm is developed to reduce the number of boundary vertices to be engaged. In the algorithm, only those boundary vertices that are directly connected to the subnetwork are engaged. The algorithm is suitable for an application to real time computation using a parallel processor system which consists of a number of micro-computers or prcessors. The algorithm has been applied to a 39- vertex network and a 232-vertex network. The results show that it is efficient and has better performance than any other algorithms. A parallel processor system has been built employing an MZ-80 micro-computer and two Z-80 microprocessor kits. The former is used as a master processor and the latter as slave processors. The algorithm is embedded into the system and proven effective for real-time shortest path computations.

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Generating Multiple Paths by Using Multi-label Vine-building Shortest Path Algorithm (수정형 덩굴망 최단경로 탐색 알고리즘을 이용한 다경로 생성 알고리즘의 개발)

  • Kim, Ik-Ki
    • Journal of Korean Society of Transportation
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    • v.22 no.2 s.73
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    • pp.121-130
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    • 2004
  • In these days, multiple-path generation method is highly demanded in practice and research areas, which can represents realistically travelers behavior in choosing possible alternative paths. The multiple-path generation algorithm is one of the key components for policy analysis related to ATIS, DRGS and ATMS in ITS. This study suggested a method to generate multiple Possible paths from an origin to a destination. The approach of the suggested method is different from an other existing methods(K-shortest path algorithm) such as link elimination approach, link penalty approach and simulation approach. The result of the multi-label vine-building shortest path algorithm(MVA) by Kim (1998) and Kim(2001) was used to generate multiple reasonable possible paths with the concept of the rational upper boundary. Because the MVA algorithm records the cost, back-node and back-back node of the minimum path from the origin to the concerned node(intersection) for each direction to the node, many potential possible paths can be generated by tracing back. Among such large number of the potential possible paths, the algorithm distinguishes reasonable alternative paths from the unrealistic potential possible paths by using the concept of the rational upper boundary. The study also shows the very simple network examples to help the concept of the suggested path generation algorithm.

A Study On Bi-Criteria Shortest Path Model Development Using Genetic Algorithm (유전 알고리즘을 이용한 이중목적 최단경로 모형개발에 관한 연구)

  • 이승재;장인성;박민희
    • Journal of Korean Society of Transportation
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    • v.18 no.3
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    • pp.77-86
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    • 2000
  • The shortest path problem is one of the mathematical Programming models that can be conveniently solved through the use of networks. The common shortest Path Problem is to minimize a single objective function such as distance, time or cost between two specified nodes in a transportation network. The sing1e objective model is not sufficient to reflect any Practical Problem with multiple conflicting objectives in the real world applications. In this paper, we consider the shortest Path Problem under multiple objective environment. Wile the shortest path problem with single objective is solvable in Polynomial time, the shortest Path Problem with multiple objectives is NP-complete. A genetic a1gorithm approach is developed to deal with this Problem. The results of the experimental investigation of the effectiveness of the algorithm are also Presented.

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Development of a Global Searching Shortest Path Algorithm by Genetic Algorithm (유전 알고리듬을 이용한 전역탐색 최단경로 알고리듬개발)

  • 김현명;임용택
    • Journal of Korean Society of Transportation
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    • v.17 no.2
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    • pp.163-178
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    • 1999
  • Conventional shortest path searching a1gorithms are based on the partial searching method such as Dijsktra, Moore etc. The a1gorithms are effective to find a shortest path in mini-modal condition of a network. On the other hand, in multi-modal case they do not find a shortest path or calculate a shortest cost without network expansion. To copy with the problem, called Searching Area Problem (SAP), a global searching method is developed in this paper with Genetic Algorithm. From the results of two examples, we found that the a1gorithm is useful to solving SAP without network expansion.

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The Shortest Flow-generating Path Problem in the Generalized Network (일반화된 네트워크에서 최단흐름생성경로문제)

  • Chung, S.J.;Chung, E.S.
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.3
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    • pp.487-500
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    • 1997
  • In this paper, we introduce the shortest flow-generating path problem in the generalized network. As the simplest generalized network model, this problem captures many of the most salient core ingredients of the generalized network flows and so it provides both a benchmark and a point of departure for studying more complex generalized network models. We show that the generalized label-correcting algorithm for the shortest flow-generating path problem has O(mn) time complexity if it starts with a good point and also propose an O($n^3m^2$) algorithm for finding a good starting point. Hence, the shortest flow-generating path problem is solved in O($n^3m^2$) time.

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A Design of Optimal Path Search Algorithm using Information of Orientation (방향성 정보를 이용한 최적 경로 탐색 알고리즘의 설계)

  • Kim Jin-Deog;Lee Hyun-Seop;Lee Sang-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.2
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    • pp.454-461
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    • 2005
  • Car navigation system which is killer application fuses map management techniques into CPS techniques. Even if the existing navigation systems are designed for the shortest path, they are not able to cope efficiently with the change of the traffic flow and the bottleneck point of road. Therefore, it is necessary to find out shortest path algorithm based on time instead of distance which takes traffic information into consideration. In this paper, we propose a optimal path search algorithm based on the traffic information. More precisely. we introduce the system architecture for finding out optimal paths, and the limitations of the existing shortest path search algorithm are also analyzed. And then, we propose a new algorithm for finding out optimal path to make good use of the orientation of the collected traffic information.

Development of a Shortest Path Searching Algorithm Using Minimum Expected Weights (최소 기대 부하량을 이용한 최단경로 탐색 알고리즘 개발)

  • Ryu, Yeong-Geun
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.12 no.5
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    • pp.36-45
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    • 2013
  • This paper developed a new shortest path searching algorithm based on Dijkstra's algorithm and $A^*$ algorithm, so it guarantees to find a shortest path in efficient manner. In this developed algorithm, minimum expected weights implies the value that straight line distance from a visiting node to the target node multiplied by minimum link unit, and this value can be the lowest weights between the two nodes. In behalf of the minimum expected weights, at each traversal step, developed algorithm in this paper is able to decide visiting a new node or retreating to the previously visited node, and results are guaranteed. Newly developed algorithm was tested in a real traffic network and found that the searching time of the algorithm was not as fast as other $A^*$ algorithms, however, it perfectly found a minimum path in any case. Therefore, this developed algorithm will be effective for the domain of searching in a large network such as RGV which operates in wide area.

A Path Planning to Maximize Survivability for Unmanned Aerial Vehicle based on 3-dimensional Environment (3차원 환경 기반 무인 항공기 생존성 극대화를 위한 이동 경로 계획)

  • Kim, Ki-Tae;Jeon, Geon-Wook
    • IE interfaces
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    • v.24 no.4
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    • pp.304-313
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    • 2011
  • An Unmanned Aerial Vehicle(UAV) is a powered pilotless aircraft, which is controlled remotely or autonomously. UAVs are currently employed in many military missions(surveillance, reconnaissance, communication relay, targeting, strike etc.) and a number of civilian applications(communication service, broadcast service, traffic control support, monitoring, measurement etc.). For accomplishing the UAV's missions, guarantee of survivability should be preceded. The main objective of this study is the path planning to maximize survivability for UAV based on 3-dimensional environment. A mathematical programming model is suggested by using MRPP(Most Reliable Path Problem) and solved by transforming MRPP into SPP(Shortest Path Problem). This study also suggests a $A^*PS$ algorithm based on 3-dimensional environment to UAV's path planning. According to comparison result of the suggested algorithm and SPP algorithms (Dijkstra, $A^*$ algorithm), the suggested algorithm gives better solution than SPP algorithms.

A Selection of Path Planning Algorithm to Maximize Survivability for Unmanned Aerial Vehicle (무인 항공기 생존성 극대화를 위한 이동 경로 계획 알고리즘 선정)

  • Kim, Ki-Tae;Jeon, Geon-Wook
    • Journal of the Korea Safety Management & Science
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    • v.13 no.2
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    • pp.103-113
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    • 2011
  • This research is to select a path planning algorithm to maximize survivability for Unmanned Aerial Vehicle(UAV). An UAV is a powered pilotless aircraft, which is controlled remotely or autonomously. UAVs are currently employed in many military missions(surveillance, reconnaissance, communication relay, targeting, strike etc.) and a number of civilian applications(communication service, broadcast service, traffic control support, monitoring, measurement etc.). In this research, a mathematical programming model is suggested by using MRPP(Most Reliable Path Problem) and verified by using ILOG CPLEX. A path planning algorithm for UAV is selected by comparing of SPP(Shortest Path Problem) algorithms which transfer MRPP into SPP.

An Efficient Implementation of the MPS algorithm for the K-Shortest Path Problem (K-최단경로문제를 위한 MPS 방법의 효율적인 구현)

  • 도승용
    • Journal of the military operations research society of Korea
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    • v.25 no.1
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    • pp.29-36
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    • 1999
  • In this paper, we are concerned with the K-shortest loopless path problem. The MPS algorithm, recently proposed by Martins et al., finds paths efficiently because it solves the shortest path problem only one time unlike other algorithms. But its computational complexity has not been known yet. We propose a few techniques by which the MPS algorithm can be implemented efficiently. First, we use min-heap data structure for the storage of candidate paths in order to reduce searching time for finding minimum distance path. Second, we prevent the eliminated paths from reentering in the list of candidate paths by lower bounding technique. Finally, we choose the source mode as a deviation node, by which selection time for the deviation node is reduced and the performance is improved in spite of the increase of the total number of candidate paths.

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