• Title/Summary/Keyword: the shortest paths

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Finding Shortest Paths in L$^1$ Plane with Parallel Roads (평행한 도로들을 포함하는 L$^1$ 평면상에서의 최단경로 탐색)

  • Kim, Jae-Hoon;Kim, Soo-Hwan
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • v.9 no.1
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    • pp.716-719
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    • 2005
  • We present an algorithm for finding shortest paths in the L$_1$ plane with a transportation network. The transportation network consists of parallel line segments, called highways, through which a movement gets faster. Given a source point s, our algorithm constructs a Shortest Path Map(SPM) such that for any query point t, we can find the length of a shortest path form s to t in O(log n) time. We design a plane sweep-like algorithm computing SPM in O(nlog n) time.

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The Application of Network Theory to Subway Transportation in Seoul, Korea

  • 김채복;김학수;김성인
    • Journal of the Korean Operations Research and Management Science Society
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    • v.14 no.2
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    • pp.81-81
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    • 1989
  • Network approach is used to find the shortest paths and transportation time between the subway stations in Seoul, Korea. Because of transfer stations, we reconstruct the subway network to compute the shortest routes and corresponding transportation times. The reconstructed network is useful to obtain desired information because it can handle the transfer time between tracks. Time and route information about the subway system is obtained and it will be displayed in the subway guide board at each station. Then, all passengers can have the information of shortest route to a destination and corresponding transportation time.

Shortest Dubins Path Generation Algorithm for a Car-like Robot (자동차형 로봇의 전방향 최단거리 이동경로 생성을 위한 알고리즘)

  • Cho, Gyu-Sang
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2423-2425
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    • 2003
  • This paper proposes a decision criteria for selecting the shortest path from Dubins set between the initial and final configurations of a car-like robot. The suggested scheme is a very simple and computational savings without explicitly calculating the candidate paths and having a complicated decision table. Equations for calculating the shortest path are derived in simple form with coordinate transform and defining standard forms.

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An algorithm for the preprocessing shortest path problem (최단경로문제의 사전처리 해법에 관한 연구)

  • 명영수
    • Korean Management Science Review
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    • v.19 no.1
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    • pp.55-66
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    • 2002
  • Given a directed network, a designated arc, and lowers and upper bounds for the distance of each arc, the preprocessing shortest path problem Is a decision problem that decides whether there is some choice of distance vector such that the distance of each arc honors the given lower and upper bound restriction, and such that the designated arc is on some shortest path from a source node to a destination notre with respect to the chosen distance vector. The preprocessing shortest path problem has many real world applications such as communication and transportation network management and the problem is known to be NP-complete. In this paper, we develop an algorithm that solves the problem using the structural properties of shortest paths.

Space Syntax-based Application to Recommend Paths for Female's Safe Leisure Life (Space Syntax 기반 여성의 안전한 여가활동 경로 추천 애플리케이션)

  • Lim, Won-Jun;Lee, Kang-Hee
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.1
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    • pp.127-135
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    • 2015
  • In this paper, we propose and implement an application that recommends safe paths for outdoor leisure activity of women based on Space Syntax theory. Compared to general navigation systems which focuses on the shortest time or the shortest distance, the proposed application makes safe paths the first priority. It generates path recommendation with regard to accessibility of travel time and correlation of regions and considers various risk factors for searching for the safest path. Concludingly, the employed Space Syntax algorithm enables the women users to select their own customized paths.

MODELS AND SOLUTION METHODS FOR SHORTEST PATHS IN A NETWORK WITH TIME-DEPENDENT FLOW SPEEDS

  • Sung, Ki-Seok;Bell, Michael G-H
    • Management Science and Financial Engineering
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    • v.4 no.2
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    • pp.1-13
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    • 1998
  • The Shortest Path Problem in Time-dependent Networks, where the travel time of each link depends on the time interval, is not realistic since the model and its solution violate the Non-passing Property (NPP:often referred to as FIFO) of real phenomena. Furthermore, solving the problem needs much more computational and memory complexity than the general shortest path problem. A new model for Time-dependent Networks where the flow speeds of each link depend on time interval, is suggested. The model is more realistic since its solution maintains the NPP. Solving the problem needs just a little more computational complexity, and the same memory complexity, as the general shortest path problem. A solution algorithm modified from Dijkstra's label setting algorithm is presented. We extend this model to the problem of Minimum Expected Time Path in Time-dependent Stochastic Networks where flow speeds of each link change statistically on each time interval. A solution method using the Kth-shortest Path algorithm is presented.

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A Method for finding the k Most Vital Arcs in the Shortest Path Problem (최단경로문제에서 k개의 치명호를 찾는 방법)

  • 안재근;정호연;박순달
    • Journal of the Korean Operations Research and Management Science Society
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    • v.23 no.4
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    • pp.11-20
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    • 1998
  • This paper deals with a mathematical model and an algorithm for the problem of determining k most vital arcs in the shortest path problem. First, we propose a 0-1 integer programming model for finding k most vital arcs in shortest path problem given the ordered set of paths with cardinality q. Next, we also propose an algorithm for finding k most vital arcs ln the shortest path problem which uses the 0-1 Integer programming model and shortest path algorithm and maximum flow algorithms repeatedly Malik et al. proposed a non-polynomial algorithm to solve the problem, but their algorithm was contradicted by Bar-Noy et al. with a counter example to the algorithm in 1995. But using our algorithm. the exact solution can be found differently from the algorithm of Malik et al.

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A Study on Decision to The Movement Routes Using fuzzy Shortest path Algorithm (퍼지 최단경로기법을 이용한 부대이동로 선정에 관한 연구)

  • Choe Jae-Chung;Kim Chung-Yeong
    • Journal of the military operations research society of Korea
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    • v.18 no.2
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    • pp.66-95
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    • 1992
  • Shortest paths are one of the simplest and most widely used concepts in deterministic networks. A decison of troops movement route can be analyzed in the network with a shortest path algorithm. But in reality, the value of arcs can not be determined in the network by crisp numbers due to imprecision or fuzziness in parameters. To account for this reason, a fuzzy network should be considered. A fuzzy shortest path can be modeled by general fuzzy mathematical programming and solved by fuzzy dynamic programming. It can be formulated by the fuzzy network with lingustic variables and solved by the Klein algorithm. This paper focuses on a revised fuzzy shortest path algorithm and an application is discussed.

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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.

Leveraging Reinforcement Learning for Generating Construction Workers' Moving Path: Opportunities and Challenges

  • Kim, Minguk;Kim, Tae Wan
    • International conference on construction engineering and project management
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    • 2022.06a
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    • pp.1085-1092
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    • 2022
  • Travel distance is a parameter mainly used in the objective function of Construction Site Layout Planning (CSLP) automation models. To obtain travel distance, common approaches, such as linear distance, shortest-distance algorithm, visibility graph, and access road path, concentrate only on identifying the shortest path. However, humans do not necessarily follow one shortest path but can choose a safer and more comfortable path according to their situation within a reasonable range. Thus, paths generated by these approaches may be different from the actual paths of the workers, which may cause a decrease in the reliability of the optimized construction site layout. To solve this problem, this paper adopts reinforcement learning (RL) inspired by various concepts of cognitive science and behavioral psychology to generate a realistic path that mimics the decision-making and behavioral processes of wayfinding of workers on the construction site. To do so, in this paper, the collection of human wayfinding tendencies and the characteristics of the walking environment of construction sites are investigated and the importance of taking these into account in simulating the actual path of workers is emphasized. Furthermore, a simulation developed by mapping the identified tendencies to the reward design shows that the RL agent behaves like a real construction worker. Based on the research findings, some opportunities and challenges were proposed. This study contributes to simulating the potential path of workers based on deep RL, which can be utilized to calculate the travel distance of CSLP automation models, contributing to providing more reliable solutions.

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