• The Journal of The Korea Institute of Intelligent Transport Systems
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• v.11 no.5
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• pp.38-45
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• 2012

Finding shortest paths on time dependent networks is an important task for scheduling and routing plan and real-time navigation system in ITS. In this research, one-to-one time dependent shortest path algorithms based on link flow speeds on urban networks are proposed. For this work, first we select three general shortest path algorithms such as Graph growth algorithm with two queues, Dijkstra's algorithm with approximate buckets and Dijkstra's algorithm with double buckets. These algorithms were developed to compute shortest distance paths from one node to all nodes in a network and have proven to be fast and efficient algorithms in real networks. These algorithms are extended to compute a time dependent shortest path from an origin node to a destination node in real urban networks. Three extended algorithms are implemented on a data set from real urban networks to test and evaluate three algorithms. A data set consists of 4 urban street networks for Anaheim, CA, Baltimore, MD, Chicago, IL, and Philadelphia, PA. Based on the computational results, among the three algorithms for TDSP, the extended Dijkstra's algorithm with double buckets is recommended to solve one-to-one time dependent shortest path for urban street networks.

• Journal of KIISE:Computer Systems and Theory
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• v.29 no.11
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• pp.634-639
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• 2002

A Shortest Path Algorithm is the method to find the most efficient route among many routes from a start node to an end node. It is based on Labeling methods. In Labeling methods, there are Label-Setting method and Label-Correcting method. Label-Setting method is known as the fastest one among One-to-One shortest path algorithms. But Benjamin[1,2] shows Label-Correcting method is faster than Label-Setting method by the experiments using large road data. Since Graph Growth algorithm which is based on Label-Correcting method is made to find One-to-All shortest path, it is not suitable to find One-to-One shortest path. In this paper, we propose a new One-to-One shortest path algorithm. We show that our algorithm is faster than Graph Growth algorithm by extensive experiments.

• Proceedings of the Korean Information Science Society Conference
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• 2001.04a
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• pp.367-369
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• 2001

GSPA(Generic Shortest Path Algorithm)은 각종 정보통신 네트워크 상에서 멀티미디어 정보전송시 요구되는 QoS 기반의 라우팅을 위한 새로운 라우팅 알고리즘이다. 전체적인 동작은 원시노드(Source Node)에서 목적노드(Destination Node) 사이에서 이전 단계의 재귀호출에서 찾은 최단 경로를 기준으로 해서 이웃 노드들을 대상으로 재귀호출을 통해서 QoS 요구조건을 만족하는 경로정보를 기록하면서 최단 경로를 찾는 알고리즘이다. GSPA는 기존 Distance Vector 알고리즘이 경로를 설정하기 위해 많은 시간과 대역폭을 낭비하며 네트워크 형상이 수시로 변경될 때 “Counting to Infinity”현상을 발생시키는 단점을 보완하고, Link-State 데이터 베이스를 이용해서 함수 재귀호츨을 통해서 최단 경로를 찾아냄으로써 구현하기가 쉬운 알고리즘이다. 또, Distance-Vector와 Link-State 알고리즘의 장점을 수용하였으며, 이 알고리즘을 분산 네트워크 환경에서 동작하도록 수정하면 분산 네트워크 환경에서의 Hierarchical Routing, Multi-Path Routing, QoS Routing을 위한 기본 알고리즘으로 매우 좋은 특성들을 가지고 있다. 본 논문에서는 이 알고리즘을 소개하고 간단한 예를 통해 기본 동작에 대해 살펴본다.

• Proceedings of the KIEE Conference
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• 2008.07a
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• pp.1837-1838
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• 2008

최단 경로란 유향(有向) 또는 무향(無向) 그래프에서 어떤 두 점 사이를 맺는 유향 또는 무향 경로 중 가장 짧은 것, 즉 가지의 길이 합을 최소로 하는 것을 구하는 문제. 그래프가 평면 접속인 경우에는 쌍대(雙對) 그래프의 최대 흐름을 구하는 문제와 등가이다. 본 논문에서는 최단 경로 문제를 풀기 위하여 Dijkstra의 장점은 살리고 단점을 보완하는 방향성을 가지는 Dijkstra 알고리즘을 제안하였다. 사례연구를 통하여 제안한 알고리즘은 출발점에서 도착점까지 최단 경로를 빠른 시간에 찾아가는 것을 보였다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.29 no.2B
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• pp.183-191
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• 2004

Single shortest path routing is known to perform poorly for Internet traffic engineering (TE) where the typical optimization objective is to minimize the maximum link load. Splitting traffic uniformly over equal cost multiple shortest paths in OSPF and IS-IS does not always minimize the maximum link load when multiple paths are not carefully selected for the global traffic demand matrix. However, among all the equal cost multiple shortest paths in the network, a set of TE-aware shortest paths, which reduces the maximum link load significantly, can be found and used by IP routers without any change of existing routing protocols and serious configuration overhead. While calculating TE-aware shortest paths. the destination-based forwarding constraint at a node should be satisfied, because an IP router will forward a packet to the next-hop toward the destination by looking up the destination prefix. In this paper, we present a problem formulation of finding a set of TE-aware shortest paths in ILP, and propose a simple heuristic for the problem. From the simulation results, it is shown that TE-aware shortest path routing performs better than default shortest path routing and ECMP in terms of the maximum link load with the marginal configuration overhead of changing the next-hops.

• 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.

• The Journal of The Korea Institute of Intelligent Transport Systems
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• v.12 no.2
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• pp.12-21
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• 2013

This study developed searching network reduction algorithm for reduce shortest path searching time. Developed algorithm is searching nodes that have the including possibility of less weights path than temporal path that consists minimum number of nodes and minimum sum of the straight line distances. The node that has the including possibility of shortest path is the node that the sum of straight line distance from start node and straight line distance to target node is less than the value that temporary path's weights divided by minimum weights units. If searching network reconstitutes only these nodes, the time of shortest path searching will be reduced. This developed algorithm has much effectiveness that start node and target node is close in large network.

• Journal of the Institute of Electronics and Information Engineers
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• v.49 no.10
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• pp.102-108
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• 2012

The paper proposes an algorithm which finds a nonlinear cut path for a printed grayscale touching character image. The conventional algorithms were observed to fail in situations of complicated touching. We analyzed those situations, and based on the analysis results we identified problematic issues of the conventional algorithms. We modified the conventional algorithms in two aspects. First we propose a new penalizing term which is probable to guide correctly the cut path for touching situations difficult to separate. Second the preposed algorithm adopts a strategy of producing both the downward and upward paths and selecting better one. The experimental results on actual touching character images showed that the proposed algorithm was superior th conventional algorithms by 3~4% in terms of success ratio of separation.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.12 no.1
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• pp.133-140
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• 2012

This paper suggests an algorithm that can shorten the complexity $O(n^2)$ of Dijkstra algorithm that is applied to the shortest path searching in real-time GPS Navigation System into an up-to-date O(n). Dijkstra algorithm manipulates the distance of the minimum length path by visiting all the nodes from the starting node. Hence, it has one disadvantage of not being able to provide the information on the shortest path every second, in a city that consists of sophisticated roads, since it has to execute number of node minus 1. The suggested algorithm, firstly, runs by means of organizing the set of out-neighbourhood nodes at each level of the tree, and root node for departure node. It also uses a method of manipulating the distance of the minimum path of all out-neighborhoods and interior of the out-neighborhoods. On applying the suggested algorithm to two sophisticated graphs consisted of bi-direction and uni-direction, we have succeeded to obtain the distance of the minimum length path, just as same as Dijkstra algorithm. In addition, it has an effect of shortening the time taken 4 times from number of node minus1 to number of level minus 1. The satisfaction of the drivers can be increased by providing the information on shortest path of detour, every second, when occurs any rush hour or any traffic congestion due to car accident, by applying this suggested algorithm to the real-time GPS system.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.47 no.8
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• pp.74-84
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• 2010

In this paper, we propose a preference-based shortest path algorithm which is combined with Ant Colony Optimization (ACO) and A* heuristic algorithm. In recent years, with the development of ITS (Intelligent Transportation Systems), there has been a resurgence of interest in a shortest path search algorithm for use in car navigation systems. Most of the shortest path search algorithms such as Dijkstra and A* aim at finding the distance or time shortest paths. However, the shortest path is not always an optimum path for the drivers who prefer choosing a less short, but more reliable or flexible path. For this reason, we propose a preference-based shortest path search algorithm which uses the properties of the links of the map. The preferences of the links are specified by the user of the car navigation system. The proposed algorithm was implemented in C and experiments were performed upon the map that includes 64 nodes with 118 links. The experimental results show that the proposed algorithm is suitable to find preference-based shortest paths as well as distance shortest paths.