• Title/Summary/Keyword: Shortest path

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An Efficient Algorithm for Dynamic Shortest Path Tree Update in Network Routing

  • Xiao, Bin;Cao, Jiannong;Shao, Zili;Sha, Edwin H.M.
    • Journal of Communications and Networks
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    • v.9 no.4
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    • pp.499-510
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    • 2007
  • Shortest path tree(SPT) construction is essential in high performance routing in an interior network using link state protocols. When some links have new state values, SPTs may be rebuilt, but the total rebuilding of the SPT in a static way for a large computer network is not only computationally expensive, unnecessary modifications can cause routing table instability. This paper presents a new update algorithm, dynamic shortest path tree(DSPT) that is computationally economical and that maintains the unmodified nodes mostly from an old SPT to a new SPT. The proposed algorithm reduces redundancy using a dynamic update approach where an edge becomes the significant edge when it is extracted from a built edge list Q. The average number of significant edges are identified through probability analysis based on an arbitrary tree structure. An update derived from significant edges is more efficient because the DSPT algorithm neglect most other redundant edges that do not participate in the construction of a new SPT. Our complexity analysis and experimental results show that DSPT is faster than other known methods. It can also be extended to solve the SPT updating problem in a graph with negative weight edges.

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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A Shortest Path Dynamic Programming for Expansion Sequencing Problems

  • Kim, Sheung-K.
    • Journal of Korean Institute of Industrial Engineers
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    • v.12 no.1
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    • pp.81-94
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    • 1986
  • A shortest path dynamic programming formulation is proposed and attemped to solve an uncapacitated expansion sequencing problem. It is also compared with the Extended Binary State Space approach with total capacity. Difficulties and merits associated with the formulation are discussed. The shortest path dynamic programming lacks the separability condition and an optimal solution is not guaranteed. However it has other merits and seems to be the practical solution procedure for the expansion sequencing problem in a sense that it finds near optimal solution with less state evaluations.

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A Study on the Shortest path of use Auction Algorithm (Auction 알고리즘을 이용한 최단경로에 관한 연구)

  • 우경환
    • Proceedings of the Korea Society for Simulation Conference
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    • 1998.03a
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    • pp.11-16
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    • 1998
  • The classical algorithm for solving liner network flow problems are primal cost improvement method, including simplex method, which iteratively improve the primal cost by moving flow around simple cycles, which iteratively improve the dual cost by changing the prices of a subset of nodes by equal amounts. Typical iteration/shortest path algorithm is used to improve flow problem of liner network structure. In this paper we stdudied about the implemental method of shortest path which is a practical computational aspects. This method can minimize the best neighbor node and also implement the typical iteration which is $\varepsilon$-CS satisfaction using the auction algorithm of linear network flow problem

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Shortest Dubins Path Generation Algorithm for a Car-like Robot (자동차형 로봇의 전방향 최단거리 이동경로 생성을 위한 알고리즘)

  • Cho, Gyu-Sang
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2423-2425
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    • 2003
  • This paper proposes a decision criteria for selecting the shortest path from Dubins set between the initial and final configurations of a car-like robot. The suggested scheme is a very simple and computational savings without explicitly calculating the candidate paths and having a complicated decision table. Equations for calculating the shortest path are derived in simple form with coordinate transform and defining standard forms.

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Shortest Path Problem in a Type-2 Fuzzy Weighted Graph (타입-2 퍼지 가중치 그래프에서의 최단경로문제)

  • Lee, Seungsoo;Lee, Kwang H.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.314-318
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    • 2001
  • Constructing a shortest path on a graph is a fundamental problem in the area of graph theory. In an application where we cannot exactly determine the weights of edges, fuzzy weights can be used instead of crisp weights, and Type-2 fuzzy weights will be more suitable if this uncertainty varies under some conditions. In this paper, shortest path problem in type-1 fuzzy weighted graphs is extended for type-2 fuzzy weighted graphes. A solution is also given based on possibility theory and extension principle.

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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 Study of route choice of the intelligent guidance system (지능형 유도시스템의 경로선택에 관한 연구)

  • Fang, Chun-Ri;Lee, Sang-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.5
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    • pp.1311-1318
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    • 2008
  • This study aims at proposing a method to guide people to the most efficient route in an emergency through addressing the limitations of the existing research and providing a solution. Most of the existing intelligent guidance system tend to guide people to the shortest-distance path to the exit. A problem lies to the fact that the shortest-distance path doest not gurantee the most efficient way of evacuation. Rather than taking the shortest-distance path, this research proposes a way of taking the shortest-time path by introducing a real time loop sensor.

Shortest Path Searching Algorithm for AGV Based on Working Environmental Model (작업환경 모델 기반 AGV의 최단 경로 탐색 알고리즘)

  • Joo, Young-Hoon;Kim, Jong-Seon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.5
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    • pp.654-659
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    • 2007
  • This paper proposes the effective method for classifying the working spates and modelling the environments, when complex working environments of AGVS(Automated Guided Vehicle System) ate changed. And, we propose the shortest path searching algorithm using the A* algorithm of graph search method. Also, we propose the methods for finding each AGV's travel time of shortest path. Finally, a simple example is included for visualizing the feasibility of the proposed methods.

GPS-Based Shortest-Path Routing Scheme in Mobile Ad Hoc Network

  • Park, Hae-Woong;Won, Soo-Seob;Kim, So-Jung;Song, Joo-Seok
    • Proceedings of the Korea Information Processing Society Conference
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    • 2004.05a
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    • pp.1529-1532
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    • 2004
  • A Mobile Ad Hoc NETwork (MANET) is a collection of wireless mobile nodes that forms a temporary network without the need for any existing network infrastructure or centralized administration. Therefore, such a network is designed to operate in a highly dynamic environment due to node mobility. In mobile ad hoc network, frequent topological changes cause routing a challenging problem and without the complete view of the network topology, establishing the shortest path from the source node to the destination node is difficult. In this paper, we suggest a routing approach which utilizes location information to setup the shortest possible path between the source node and the destination node. Location information is obtained through Global Positioning System (GPS) and this geographical coordinate information of the destination node is used by the source node and intermediate nodes receiving route request messages to determine the shortest path to the destination from current node.

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