• Title/Summary/Keyword: shortest path heuristic

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An Evolutionary Algorithm for Determining the k Most Vital Arcs in Shortest Path Problem (최단경로문제에서 k개의 치명호를 결정하는 유전알고리듬)

  • 정호연
    • Journal of the military operations research society of Korea
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    • v.26 no.2
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    • pp.120-130
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    • 2000
  • The purpose of this study is to present a method for determining the k most vital arcs in shortest path problem using an evolutionary algorithm. The problem of finding the k most vital arcs in shortest path problem is to find a set of k arcs whose simultaneous removal from the network causes the greatest increase in the total length of shortest path. Generally, the problem determining the k most vital arcs in shortest path problem has known as NP-hard. Therefore, in order to deal with the problem of real world the heuristic algorithm is needed. In this study we propose to the method of finding the k most vital arcs in shortest path problem using an evolutionary algorithm which known as the most efficient algorithm among heuristics. The method presented in this study is developed using the library of the evolutionary algorithm framework and then the performance of algorithm is analyzed through the computer experiment.

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A Combined Heuristic Algorithm for Preference-based Shortest Path Search (선호도 기반 최단경로 탐색을 위한 휴리스틱 융합 알고리즘)

  • Ok, Seung-Ho;Ahn, Jin-Ho;Kang, Sung-Ho;Moon, Byung-In
    • 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.

Development of evolutionary algorithm for determining the k most vital arcs in shortest path problem

  • Chung, Hoyeon;Shin, Dongju
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.10a
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    • pp.113-116
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    • 2000
  • The purpose of this study is to present a method for determining the k most vital arcs in shortest path problem using an evolutionary algorithm. The problem of finding the k most vital arcs in shortest path problem is to find a set of k arcs whose simultaneous removal from the network causes the greatest increase in the total length of shortest path. The problem determining the k most vital arcs in shortest path problem has known as NP-hard. Therefore, in order to deal with the problem of real world the heuristic algorithm is needed. In this study we propose to the method of finding the k-MVA in shortest path problem using an evolutionary algorithm which known as the most efficient algorithm among heuristics. For this, the expression method of individuals compatible with the characteristics of shortest path problem, the parameter values of constitution gene, size of the initial population, crossover rate and mutation rate etc. are specified and then the effective genetic algorithm will be proposed. The method presented in this study is developed using the library of the evolutionary algorithm framework (EAF) and then the performance of algorithm is analyzed through the computer experiment.

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Design and Implementation of a Genetic Algorithm for Global Routing (글로벌 라우팅 유전자 알고리즘의 설계와 구현)

  • 송호정;송기용
    • Journal of the Institute of Convergence Signal Processing
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    • v.3 no.2
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    • pp.89-95
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    • 2002
  • Global routing is to assign each net to routing regions to accomplish the required interconnections. The most popular algorithms for global routing inlcude maze routing algorithm, line-probe algorithm, shortest path based algorithm, and Steiner tree based algorithm. In this paper we propose weighted network heuristic(WNH) as a minimal Steiner tree search method in a routing graph and a genetic algorithm based on WNH for the global routing. We compare the genetic algorithm(GA) with simulated annealing(SA) by analyzing the results of each implementation.

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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.

A study on shortest problem between specified nodes with multiple travel time (다수개의 여행시간이 주어진 경우의 지정된 마디간의 최단경로 문제)

  • 이명석;박순달
    • Korean Management Science Review
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    • v.7 no.2
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    • pp.51-57
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    • 1990
  • The purpose of this thesis is to find the shortest path between two nodes on an acyclic network where the arc costs are determined by the starting time at the starting node of the arc. A branch and bound method for optimal solutions and a heuristic method is developed. In heuristic method Dijkstra algorithm is modified to maintain the minimum arrival times of maximum informations in the each time period at each node and is updated by the result with the insertion technique. Expermetal results among two methods are presented with regard to run time and solution qualities.

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A Heuristic Algorithm to Find the Critical Path Minimizing the Maximal Regret (최대후회 최소화 임계 경로 탐색 알고리듬)

  • Kang, Jun-Gyu;Yoon, Hyoup-Sang
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.34 no.3
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    • pp.90-96
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    • 2011
  • Finding the critical path (or the longest path) on acyclic directed graphs, which is well-known as PERT/CPM, the ambiguity of each acr's length can be modeled as a range or an interval, in which the actual length of arc may realize. In this case, the min-max regret criterion, which is widely used in the decision making under uncertainty, can be applied to find the critical path minimizing the maximum regret in the worst case. Since the min-max regret critical path problem with the interval arc's lengths is known as NP-hard, this paper proposes a heuristic algorithm to diminish the maximum regret. Then the computational experiments shows the proposed algorithm contributes to the improvement of solution compared with the existing heuristic algorithms.

Development of Evolutionary Algorithms for Determining the k most Vital Arcs in Shortest Path Problem (최단경로문제에서 k-치명호를 결정하는 진화 알고리듬의 개발)

  • 정호연;김여근
    • Journal of the Korean Operations Research and Management Science Society
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    • v.26 no.2
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    • pp.47-58
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    • 2001
  • The purpose of this study is to present methods for determining the k most vital arcs (k-MVAs) in shortest path problem (SPP) using evolutionary algorithms. The problem of finding the k-MVAs in SPP is to find a set of k arcs whose simultaneous removal from the network causes the greatest increase in the shortest distance between two specified nodes. Generally, the problem of determining the k-MVAs in SPP has been known as NP-hard. Therefore, to deal with problems of the real world, heuristic algorithms are needed. In this study we present three kinds of evolutionary algorithms for finding the k-MVAs in SPP, and then to evaluate the performance of proposed algorithms.

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A Pathfinding Algorithm Using Path Information (경로 정보를 이용한 길찾기 알고리즘)

  • Cho, Sung Hyun
    • Journal of Korea Game Society
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    • v.13 no.1
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    • pp.31-40
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    • 2013
  • A* algorithm is a well known pathfinding algorithm. However, there may be a limit to use A* algorithm in real-time in a map where many interactions occur between objects or many obstacles exist. Therefore, it may be necessary to find a naturally looking path quickly instead of finding a shortest path in games. In this paper, we propose a new heuristic function to exploit path information in a map. We also show that the pathfinding algorithm based on the proposed heuristic function can find a good path much faster than A* algorithm on several grid maps.

A Border Line-Based Pruning Scheme for Shortest Path Computations

  • Park, Jin-Kyu;Moon, Dae-Jin;Hwang, Een-Jun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.4 no.5
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    • pp.939-955
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    • 2010
  • With the progress of IT and mobile positioning technologies, various types of location-based services (LBS) have been proposed and implemented. Finding a shortest path between two nodes is one of the most fundamental tasks in many LBS related applications. So far, there have been many research efforts on the shortest path finding problem. For instance, $A^*$ algorithm estimates neighboring nodes using a heuristic function and selects minimum cost node as the closest one to the destination. Pruning method, which is known to outperform the A* algorithm, improves its routing performance by avoiding unnecessary exploration in the search space. For pruning, shortest paths for all node pairs in a map need to be pre-computed, from which a shortest path container is generated for each edge. The container for an edge consists of all the destination nodes whose shortest path passes through the edge and possibly some unnecessary nodes. These containers are used during routing to prune unnecessary node visits. However, this method shows poor performance as the number of unnecessary nodes included in the container increases. In this paper, we focus on this problem and propose a new border line-based pruning scheme for path routing which can reduce the number of unnecessary node visits significantly. Through extensive experiments on randomly-generated, various complexity of maps, we empirically find out optimal number of border lines for clipping containers and compare its performance with other methods.