• Title/Summary/Keyword: Shortest Path Algorithms

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Quickest Path Algorithm for Improving Quality of Services in Communication Networks (통신 품질 향상을 위한 최단 시간 경로 알고리즘)

  • 윤석환;김평중;김진수
    • Journal of Korean Society for Quality Management
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    • v.26 no.1
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    • pp.192-200
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    • 1998
  • The quickest path problem is one of the important things for quality of services in communication networks. It is to find a path to send a given amount of data from the source to the sink with minimum transmission time, where the transmission time is dependent on both the capacities and the traversal times of the arcs in the network. This is found under the networks that the capacity and the lead time of each ring are predetermined. It is general to solve the quickest path problem using shortest path algorithms. The relevant algorithms proposed till now are based on the capacity of rings in distributed environments. When the configuration of networks is changed, there can be two a, pp.oaches to find the quickest paths. The one is to find new quickest paths, and the other is to update the current quickest paths. As one of the algorithms for the latter, the distributed quickest path update algorithm was proposed. This paper aims to propose the distributed algorithm a, pp.icable to find the quickest path, when the configuration of networks is changed, using the quickest path tree update altorithm, and to verify its possibility of a, pp.ication by analyzing the transmission amount of data from one node to another from the theoretical point of view.

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ANGLE CORRECTION FOR FIVE-AXIS MILLING NEAR SINGULARITIES

  • Munlin, M.;Makhanov, S.S.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.869-874
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    • 2004
  • The inverse kinematics of five-axis milling machines produce large errors near stationary points of the required surface. When the tool travels cross or around the point the rotation angles may jump considerably leading to unexpected deviations from the prescribed trajectories. We propose three new algorithms to repair the trajectories by adjusting the rotation angles in such a way that the kinematics error is minimized. Given the tool orientations and the inverse kinematics of the machine, we first eliminate the jumping angles exceeding ${\pi}$ by using the angle adjustment algorithm, leaving the jumps less than ${\pi}$ to be further optimized. Next, we propose to apply an angle switching algorithm to compute the rotations and identify an optimized sequence of rotations by the shortest path scheme. Further error reduction is accomplished by the angle insertion algorithm based an o special interpolation to obtain the required rotations near the singularity. We have verified the algorithms by five-axis milling machines, namely, MAHO600E at the CIM Lab of Asian Institute of Technology and HERMLE UWF902H at the CIM Lab of Kasetsart University.

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A Collision Avoidance Algorithm for Two Mobile Robots with Independent Goals in Skeleton Map (골격지도에서 개별 목표를 갖는 두 이동로봇의 충돌 회피 알고리즘)

  • Yang Dong-Hoon;Hong Suk-Kyo
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.7
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    • pp.700-705
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    • 2006
  • This paper proposes a collision avoidance algorithm for two mobile robots with independent goals in a same workspace. Using skeleton map, an environment is presented as a graph consisting of nodes and arcs. Robots generate the shortest set of paths using the combination of objective functions of the two robots. Path for collision avoidance of a robot can be selected among three class; the shortest path, detour, paths with a waiting time at safety points around crossing points. Simulation results are presented to verify the efficiency of the proposed algorithms.

Multiple Path-Finding Algorithm in the Centralized Traffic Information System (중앙집중형 도로교통정보시스템에서 다중경로탐색 알고리즘)

  • 김태진;한민흥
    • Journal of Korean Society of Transportation
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    • v.19 no.6
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    • pp.183-194
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    • 2001
  • The centralized traffic information system is to gather and analyze real-time traffic information, to receive traffic information request from user, and to send user processed traffic information such as a path finding. Position information, result of destination search, and other information. In the centralized traffic information system, a server received path-finding requests from many clients and must process clients requests in time. The algorithm of multiple path-finding is needed for a server to process clients request, effectively in time. For this reason, this paper presents a heuristic algorithm that decreases time to compute path-finding requests. This heuristic algorithm uses results of the neighbor nodes shortest path-finding that are computed periodically. Path-finding results of this multiple path finding algorithm to use results of neighbor nodes shortest path-finding are the same as a real optimal path in many cases, and are a little different from results of a real optimal path in non-optimal path. This algorithm is efficiently applied to the general topology and the hierarchical topology such as traffic network. The computation time of a path-finding request that uses results of a neighbor nodes shortest path-finding is 50 times faster than other algorithms such as one-to-one label-setting and label-correcting algorithms. Especially in non-optimal path, the average error rate is under 0.1 percent.

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A Study on Algorithms for Calculating the k-Maximum Capacity Paths in a Network (K-최대용량경로(最大容量經路) 계산법(計算法)에 관한 연구(硏究))

  • Kim, Byung-Su;Kim, Chung-Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.2
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    • pp.105-117
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    • 1993
  • Methods for calculating k shortest paths in a network system, are based on a analogy which exists between the solution of a network problem and traditional techniques for solving linear equations. This paper modifies an algebraic structure of the K shortest path method and develops k maximum flow methods. On the basis of both theoretical and algebraic structure, three iteration methods are developed and the effective procedure of each method are provided. Finally, computational complexity is discussed for those methods.

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Faster pipe auto-routing using improved jump point search

  • Min, Jwa-Geun;Ruy, Won-Sun;Park, Chul Su
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.596-604
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    • 2020
  • Previous studies on pipe auto-routing algorithms generally used such algorithms as A*, Dijkstra, Genetic Algorithm, Particle Swarm Optimization, and Ant Colony Optimization, to satisfy the relevant constraints of its own field and improve the output quality. On the other hand, this study aimed to significantly improve path-finding speed by applying the Jump Point Search (JPS) algorithm, which requires lower search cost than the abovementioned algorithms, for pipe routing. The existing JPS, however, is limited to two-dimensional spaces and can only find the shortest path. Thus, it requires several improvements to be applied to pipe routing. Pipe routing is performed in a three-dimensional space, and the path of piping must be parallel to the axis to minimize its interference with other facilities. In addition, the number of elbows must be reduced to the maximum from an economic perspective, and preferred spaces in the path must also be included. The existing JPS was improved for the pipe routing problem such that it can consider the above-mentioned problem. The fast path-finding speed of the proposed algorithm was verified by comparing it with the conventional A* algorithm in terms of resolution.

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.

Algorithms on layout design for overhead facility (천장형 설비의 배치 설계를 위한 해법의 개발)

  • Yang, Byoung-Hak
    • Journal of the Korea Safety Management & Science
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    • v.13 no.1
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    • pp.133-142
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    • 2011
  • Overhead facility design problem(OFDP) is one of the shortest rectilinear flow network problem(SRFNP)[4]. Genetic algorithm(GA), artificial immune system(AIS), population management genetic algorithm (PM) and greedy randomized adaptive search procedures (GRASP) were introduced to solve OFDP. A path matrix formed individual was designed to represent rectilinear path between each facility. An exchange crossover operator and an exchange mutation operator were introduced for OFDP. Computer programs for each algorithm were constructed to evaluate the performance of algorithms. Computation experiments were performed on the quality of solution and calculations time by using randomly generated test problems. The average object value of PM was the best of among four algorithms. The quality of solutions of AIS for the big sized problem were better than those of GA and GRASP. The solution quality of GRASP was the worst among four algorithms. Experimental results showed that the calculations time of GRASP was faster than any other algorithm. GA and PM had shown similar performance on calculation time and the calculation time of AIS was the worst.

Development of a n-path algorithm for providing travel information in general road network (일반가로망에서 교통정보제공을 위한 n-path 알고리듬의 개발)

  • Lim, Yong-Taek
    • Journal of Korean Society of Transportation
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    • v.22 no.4 s.75
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    • pp.135-146
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    • 2004
  • For improving the effectiveness of travel information, some rational paths are needed to provide them to users driving in real road network. To meet it, k-shortest path algorithms have been used in general. Although the k-shortest path algorithm can provide several alternative paths, it has inherent limit of heavy overlapping among derived paths, which nay lead to incorrect travel information to the users. In case of considering the network consisting of several turn prohibitions popularly adopted in real world network, it makes difficult for the traditional network optimization technique to deal with. Banned and penalized turns are not described appropriately for in the standard node/link method of network definition with intersections represented by nodes only. Such problem could be solved by expansion technique adding extra links and nodes to the network for describing turn penalties, but this method could not apply to large networks as well as dynamic case due to its overwhelming additional works. This paper proposes a link-based shortest path algorithm for the travel information in real road network where exists turn prohibitions. It enables to provide efficient alternative paths under consideration of overlaps among paths. The algorithm builds each path based on the degree of overlapping between each path and stops building new path when the degree of overlapping ratio exceeds its criterion. Because proposed algorithm builds the shortest path based on the link-end cost instead or node cost and constructs path between origin and destination by link connection, the network expansion does not require. Thus it is possible to save the time or network modification and of computer running. Some numerical examples are used for test of the model proposed in the paper.

Shortest Distance Algorithm Based Path Detection System in Case of Flash Flood (돌발홍수 발생 시 최단 거리 알고리즘 기반 경로 검출시스템)

  • Jeon, Sungwoo;Shi, ZhaoQi;Yang, Seung Eui;Jung, Heokyung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2021.10a
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    • pp.338-340
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    • 2021
  • Among the recent natural disasters, flood damage is concentrated in the summer, leading to casualties or property damage due to the typhoon's rainy season. Much research is being done to reduce this damage. In this paper, we design and implement a system that detects paths and provides them to users using shortest-distance algorithms in the event of such sudden flooding. The proposed system uses QGIS to detect paths using topographical data that generated tracks and pointers. In addition, other shortest paths are detected and provided to users when sudden flooding occurs during evacuation to routes detected through scenarios. Therefore, it is assumed that the proposed system will allow users to safely evacuate from the risk of future disaster safety accidents.

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