• Title/Summary/Keyword: Path-finding algorithm

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Optimal Path Finding based on Raster GIS in Indoor Spaces (건물내부공간에서의 Raster GIS기반 최적경로 탐색)

  • Kim, Byung-Hwa;Jun, Chul-Min
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.25 no.1
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    • pp.1-8
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    • 2007
  • People tend to spend more time in indoor spaces than before such as shopping malls and subway stations. As buildings become larger and more complex, people feel difficulty in finding their ways to destinations. Consequently, a means to provide better paths can aid people in reducing time for finding ways. Routing information in large indoor spaces is especially required in emergency cases as fire, power failure and terror. This study suggests to compute optimal paths using $A^*$ algorithm based on raster GIS data structure. The suggested method can be used either in daily lives for path provision or in emergency cases for evacuation, and is illustrated on a campus building.

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.

Improved Path Planning Algorithm based on Informed RRT* using Gridmap Skeletonization (격자 지도의 골격화를 이용한 Informed RRT* 기반 경로 계획 기법의 개선)

  • Park, Younghoon;Ryu, Hyejeong
    • The Journal of Korea Robotics Society
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    • v.13 no.2
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    • pp.142-149
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    • 2018
  • $RRT^*$ (Rapidly exploring Random $Tree^*$) based algorithms are widely used for path planning. Informed $RRT^*$ uses $RRT^*$ for generating an initial path and optimizes the path by limiting sampling regions to the area around the initial path. $RRT^*$ algorithms have several limitations such as slow convergence speed, large memory requirements, and difficulties in finding paths when narrow aisles or doors exist. In this paper, we propose an algorithm to deal with these problems. The proposed algorithm applies the image skeletonization to the gridmap image for generating an initial path. Because this initial path is close to the optimal cost path even in the complex environments, the cost can converge to the optimum more quickly in the proposed algorithm than in the conventional Informed $RRT^*$. Also, we can reduce the number of nodes and memory requirement. The performance of the proposed algorithm is verified by comparison with the conventional Informed $RRT^*$ and Informed $RRT^*$ using initial path generated by $A^*$.

On Finding an Optimal Departure Time in Time-Dependent Networks

  • Park, Chan-Kyoo;Lee, Sangwook;Park, Soondal
    • Management Science and Financial Engineering
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    • v.10 no.1
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    • pp.53-75
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    • 2004
  • Most existing studies on time-dependent networks have been focused on finding a minimum delay path given a departure time at the origin. There, however, frequently happens a situation where users can select any departure time in a certain time interval and want to spend as little time as possible on traveling the networks. In that case. the delay spent on traveling networks depends on not only paths but also the actual departure time at the origin. In this paper, we propose a new problem in time-dependent networks whose objective is to find an optimal departure time given possible departure time interval at the origin. From the optimal departure time, we can obtain a path with minimum delay among all paths for possible departure times at the origin. In addition, we present an algorithm for finding an optimal departure time by enumerating trees which remain shortest path tree for a certain time interval.

Optimal Path Planning for Mobile Robots based on Genetic Algorithms and Visibility Graph (유전 알고리즘과 가시도 그래프를 이용한 이동로봇의 최적경로 계획)

  • Jung, Youn-Boo;Lee, Min-Jung;Jun, Hyang-Sig;Choi, Young-Kiu
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2732-2734
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    • 2000
  • This paper proposes a path planning algorithm for mobile robots. To generate a minimum-distance path for mobile robots, we use the Genetic Algorithm(GA) and Visibility Graph. After finding a minimum-distance path between a start and a goal point, the path is revised to find the smooth subminimum-distance path by a path-smoothing algorithm. Simulation results show that the proposed algorithms are effective.

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Efficient Path Finding Based on the $A^*$ algorithm for Processing k-Nearest Neighbor Queries in Road Network Databases (도로 네트워크에서 $A^*$ 알고리즘을 이용한 k-최근접 이웃 객체에 대한 효과적인 경로 탐색 방법)

  • Shin, Sung-Hyun;Lee, Sang-Chul;Kim, Sang-Wook;Lee, Jung-Hoon;Im, Eul-Kyu
    • Journal of KIISE:Databases
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    • v.36 no.5
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    • pp.405-410
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    • 2009
  • This paper proposes an efficient path finding scheme capable of searching the paths to k static objects from a given query point, aiming at both improving the legacy k-nearest neighbor search and making it easily applicable to the road network environment. To the end of improving the speed of finding one-to-many paths, the modified A* obviates the duplicated part of node scans involved in the multiple executions of a one-to-one path finding algorithm. Additionally, the cost to the each object found in this step makes it possible to finalize the k objects according to the network distance from the candidate set as well as to order them by the path cost. Experiment results show that the proposed scheme has the accuracy of around 100% and improves the search speed by $1.3{\sim}3.0$ times of k-nearest neighbor searches, compared with INE, post-Dijkstra, and $na{\ddot{i}}ve$ method.

Implementation and Evaluation of Path-Finding Algorithm using Abstract Graphs (추상 그래프를 활용한 경로 탐색 알고리즘의 구현 및 성능 평가)

  • Kim, Ji-Soo;Lee, Ji-Wan;Cho, Dae-Soo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.11
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    • pp.2367-2372
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    • 2009
  • Recently, Many studies have been progressing to path-finding adapted dynamic information on the Terminal Based Navigation System(TBNS). The algorithms proposed are based on $A^*$ algorithm. Path-finding algorithms which use heuristic function may occur a problem of the increase of exploring cost. Path-finding with an abstract graph which expresses real road network as a simple graph is proposed for reducing dependency of heuristic and exploring cost. In this paper, two abstract graph that are different method of construction, Homogeneous Node merging($AG^H$) and Connected Node Merging($AG^C$), are implemented. In result of evaluation of performance, $AG^C$ has better performance than $AG^H$ at construction cost and the number of node access but $AG^C$ has worse performance than AGH at exploring cost.

A Study on the Shortest Path using the Mathematical Equivalence of the Auction Algorithm (Auction 알고리즘의 수학적 등가를 이용한 최단경로에 관한 연구)

  • 우경환;홍용인;최상국;이천희
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.337-340
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    • 1999
  • At each iteration, the path is either extended by adding a new node, or contracted by deleting its terminal node. When the destination becomes the terminal node of the path, the algorithm terminate. In the process of finding the shortest path to given destination, the algorithm visits other node, there by obtaining a shortest path from the origin to them. We show here that when the auction algorithm is applied to this equivalent program with some special rules for choosing the initial object prices and the person submitting a bid at each iteration, one obtains the generic form of the $\varepsilon$-relaxation method. Thus, the two methods are mathematically equivalent

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Optimal Seam-line Determination for the Image Mosaicking Using the Adaptive Cost Transform (적응 정합 값 변환을 이용한 영상 모자이크 과정에서의 최적 Seam-Line 결정)

  • CHON Jaechoon;KIM Hyongsuk
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.3
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    • pp.148-155
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    • 2005
  • A seam-line determination algorithm is proposed to determine image border-line in mosaicing using the transformation of gray value differences and dynamic programming. Since visually good border-line is the one along which pixel differences are as small as possible, it can be determined in association with an optimal path finding algorithm. A well-known effective optimal path finding algorithm is the Dynamic Programming (DP). Direct application of the dynamic programming to the seam-line determination causes the distance effect, in which seam-line is affected by its length as well as the gray value difference. In this paper, an adaptive cost transform algorithm with which the distance effect is suppressed is proposed in order to utilize the dynamic programming on the transformed pixel difference space. Also, a figure of merit which is the summation of fixed number of the biggest pixel difference on the seam-line (SFBPD) is suggested as an evaluation measure of seamlines. The performance of the proposed algorithm has been tested in both quantitively and visually on various kinds of images.

Optimal Geometric Path and Minimum-Time Motion for a Manipulator Arm (로봇팔의 최적 기하학적 경로 및 시간최소화 운동)

  • Park, Jong-Keun;Han, Sung-Hyun;Kim, Tae-Han;Lee, Sang-Tak
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.204-213
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    • 1999
  • This paper suggests a numerical method of finding optimal geometric path and minimum-time motion for a manipulator arm. To find the minimum-time motion, the optimal geometric path is searched first, and the minimum-time motion is searched on this optimal path. In the algorithm finding optimal geometric path, the objective function is minimizing the combination of joint velocities, joint-jerks, and actuator forces as well as avoiding several static obstacles, where global search is performed by adjusting the seed points of the obstacle models. In the minimum-time algorithm, the traveling time is expressed by the linear combinations of finite-term quintic B-splines and the coefficients of the splines are obtained by nonlinear programming to minimize the total traveling time subject to the constraints of the velocity-dependent actuator forces. These two search algorithms are basically similar and their convergences are quite stable.

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