• Title/Summary/Keyword: Speed-based-Dijkstra Algorithm

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A Speed-Based Dijkstra Algorithm for the Line Tracer Control of a Robot (로봇 경로 제어를 위한 속도기반 Dijkstra 알고리즘)

  • Cheon, Seong-Kwon;Kim, Geun-Deok;Kim, Chong-Gun
    • Journal of Information Technology Services
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    • v.10 no.4
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    • pp.259-268
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    • 2011
  • A robot education system by emulation based on Web can be efficiently used for understanding concept of robot assembly practice and control mechanism of robot by control programming. It is important to predict the path of the line tracer robot which has to be decided by the robot. Shortest Path Algorithm is a well known algorithm which searches the most efficient path between the start node and the end node. There are two related typical algorithms. Dijkstra Algorithm searches the shortest path tree from a node to the rest of the other nodes. $A^*$ Algorithm searches the shortest paths among all nodes. The delay time caused by turning the direction of navigation for the line tracer robot at the crossroads can give big differences to the travel time of the robot. So we need an efficient path determine algorithm which can solve this problem. Thus, It is necessary to analyze the overhead of changing direction of robot at multi-linked node to determine the next direction for efficient routings. In this paper, we reflect the real delay time of directional changing from the real robot. A speed based Dijkstra algorithm is proposed and compared with the previous ones to analyze the performance.

A Real-time Point-to-Point Shortest Path Search Algorithm Based on Traveling Time (주행시간 기반 실시간 점대점 최단경로 탐색 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.4
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    • pp.131-140
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    • 2012
  • The shortest path search algorithm of navigation is generally based on Dijkstra algorithm and considers only the distance using the weight. Dijkstra algorithm based on the distance mainly ought to perform the 'number of nodes 1' and requires a lot of memory, for it is to start from the starting node and to decide the shortest path for all the nodes. Also, it searches only the same identical path in case of any bottleneck due to an accident nearby, since it is based only on the distance, and hence does not have a system that searches the detour road. In order to solve this problem, this paper considers only the travelling time per road (travelling speed * distance), without applying speed criteria (smoothness, slow speed, stagnation and accident control) or road class (express road, national road and provincial road). This provides an advantage of searching the detour, considering the reality that there are differences in time take for the car to travel on different roads with same distance, due to any accident, stagnation, or repair construction. The suggested algorithm proves that it can help us to reach the destination within the shortest time, making a detour from any congested road (outbreak) on providing an information on traveling time continuously(real-time) even though there is an accident in a particular road.

Optimizing Path Finding based on Dijkstra's Algorithm for a Quadruped Walking Robot TITAN-VIII (4족보행 로봇 TITAN-VIII의 Dijkstra's Algorithm을 이용한 최적경로 탐색)

  • Nguyen, Van Tien;Ahn, Byong-Won;Bae, Cherl-O
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.23 no.5
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    • pp.574-584
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    • 2017
  • In this paper, the optimizing path finding control method is studied for a Legged-robot. It's named TITAN-VIII. It has a lot of advantages over the wheeled robot in the ability to walk freely on an irregular ground. However, the moving speed on the ground of the Legged-robot is slower than the Wheeled-robot's. Consequently, the purpose of the method is presented in this paper to minimize its time when it walks to a goal. It find the path, our approach is based on an algorithm which is called Dijkstra's algorithm. In the rest of paper, the various posture of the robot is discussed to keep the robot always in the statically stable. Based on above works, the math formulas are presented to determine the joint angles of the robot. After that an algorithm is designed to find and keep robot on the desired trajectory. Experimental results of the proposed method are demonstrated in the last of paper.

A Study on Bicycle Route Selection Using Optimal Path Search (최적 경로 탐색을 이용한 자전거 경로 선정에 관한 연구)

  • Baik, Seung Heon;Han, Dong Yeob
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.30 no.5
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    • pp.425-433
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    • 2012
  • Dijkstra's algorithm is one of well-known methods to find shortest paths over a network. However, more research on $A^*$ algorithm is necessary to discover the shortest route to a goal point with the heuristic information rather than Dijkstra's algorithm which aims to find a path considering only the shortest distance to any point for an optimal path search. Therefore, in this paper, we compared Dijkstra's algorithm and $A^*$ algorithm for bicycle route selection. For this purpose, the horizontal distance according to slope angle and average speed were calculated based on factors which influence bicycle route selection. And bicycle routes were selected considering the shortest distance or time-dependent shortest path using Dijkstra's or $A^*$ algorithm. The result indicated that the $A^*$ algorithm performs faster than Dijkstra's algorithm on processing time in large study areas. For the future, optimal path selection algorithm can be used for bicycle route plan or a real-time mobile services.

A New Link-Based Single Tree Building Algorithm for Shortest Path Searching in an Urban Road Transportation Network

  • Suhng, Byung Munn;Lee, Wangheon
    • Journal of Electrical Engineering and Technology
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    • v.8 no.4
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    • pp.889-898
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    • 2013
  • The shortest-path searching algorithm must not only find a global solution to the destination, but also solve a turn penalty problem (TPP) in an urban road transportation network (URTN). Although the Dijkstra algorithm (DA) as a representative node-based algorithm secures a global solution to the shortest path search (SPS) in the URTN by visiting all the possible paths to the destination, the DA does not solve the TPP and the slow execution speed problem (SEP) because it must search for the temporary minimum cost node. Potts and Oliver solved the TPP by modifying the visiting unit from a node to the link type of a tree-building algorithm like the DA. The Multi Tree Building Algorithm (MTBA), classified as a representative Link Based Algorithm (LBA), does not extricate the SEP because the MTBA must search many of the origin and destination links as well as the candidate links in order to find the SPS. In this paper, we propose a new Link-Based Single Tree Building Algorithm in order to reduce the SEP of the MTBA by applying the breaking rule to the LBA and also prove its usefulness by comparing the proposed with other algorithms such as the node-based DA and the link-based MTBA for the error rates and execution speeds.

A Study on A* Algorithm Applying Reversed Direction Method for High Accuracy of the Shortest Path Searching (A* 알고리즘의 최단경로 탐색 정확도 향상을 위한 역방향 적용방법에 관한 연구)

  • Ryu, Yeong-Geun;Park, Yongjin
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.12 no.6
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    • pp.1-9
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    • 2013
  • The studies on the shortest path algorithms based on Dijkstra algorithm has been done continuously to decrease the time for searching. $A^*$ algorithm is the most represented one. Although fast searching speed is the major point of $A^*$ algorithm, there are high rates of failing in search of the shortest path, because of complex and irregular networks. The failure of the search means that it either did not find the target node, or found the shortest path, witch is not true. This study proposed $A^*$ algorithm applying method that can reduce searching failure rates, preferentially organizing the relations between the starting node and the targeting node, and appling it in reverse according to the organized path. This proposed method may not build exactly the shortest path, but the entire failure in search of th path would not occur. Following the developed algorithm tested in a real complex networks, it revealed that this algorithm increases the amount of time than the usual $A^*$ algorithm, but the accuracy rates of the shortest paths built is very high.

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.

A Study on Bicycle Route Selection Considering Topographical Characteristics (지형적 특성을 고려한 자전거 경로 선정에 관한 연구)

  • Yang, Jung Lan;Jun, Chul Min
    • Journal of Korean Society for Geospatial Information Science
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    • v.21 no.3
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    • pp.3-9
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    • 2013
  • As interest in green growth picks up, the importance of bicycles which are an environment friendly means of communication has been magnified. However, bicycle routes which are the base of bicycles are designed without considering topographic elements and thus many users are experiencing inconvenience in using bicycles. The present study presents a routing technique to select optimal routes when selecting routes in commuting to school utilizing bicycles. To this end, a formula for optimum route calculation considering slope and intersections was drawn and a method to select optimum routes by applying modified Dijkstra Algorithms was studied. According to the results, the bicycle routes for commuting to school should be selected by the shortest time rather than the shortest distances to the destination, because it required reach the destination faster. Therefore when selecting the routes, it must be based on the shortest time considering waiting time due to crosswalks or crossroads and speed variations due to slopes.

[$L_1$] Shortest Paths with Isothetic Roads (축에 평행한 도로들이 놓여 있을 때의 $L_1$ 최단 경로)

  • Bae Sang Won;Kim Jae-Hoon;Chwa Kyung-Yong
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.11a
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    • pp.976-978
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    • 2005
  • We present a nearly optimal ($O(\nu\;min(\nu,\;n)n\;log\;n)$ time and O(n) srace) algorithm that constructs a shortest path map with n isothetic roads of speed $\nu$ under the $L_1$ metric. The algorithm uses the continuous Dijkstra method and its efficiency is based on a new geometric insight; the minimum in-degree of any nearest neighbor graph for points with roads of speed $\nu$ is $\Theta(\nu\;min(\nu,\;n))$, which is first shown in this paper. Also, this algorithm naturally extends to the multi-source case so that the Voronoi diagram for m sites can be computed in $O(\nu\;min(\nu,\;n)(n+m)log(n+m))$ time and O(n+m) space, which is also nearly optimal.

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RFID-based Shortest Time Algorithm Line Tracer (RFID 기반 최단시간 알고리즘 라인트레이서)

  • Cheol-Min, Kim;Hee-Young, Cho;Tae-Sung, Yun;Ho-Jun, Shin;Hyoung-Keun, Park
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.6
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    • pp.1221-1228
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    • 2022
  • With the development of modern technology, the use of unmanned automation equipment that can replace humans in logistics and industrial sites is increasing. The technology of one such automation facility, the Unmanned Carrier (AGV), includes Line Tracing, which allows you to recognize a line through infrared sensors and drive a predetermined route. In this paper, the shortest time algorithm using Arduino is configured in the line tracing technology to enable efficient driving. It is also designed to collect location and time information using RFID tags.