• Title/Summary/Keyword: Shortest path

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A Study on the Shortest Path using the Mathematical Equivalence of the Auction Algorithm (Auction 알고리즘의 수학적 등가를 이용한 최단경로에 관한 연구)

  • 우경환;홍용인;최상국;이천희
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.337-340
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    • 1999
  • At each iteration, the path is either extended by adding a new node, or contracted by deleting its terminal node. When the destination becomes the terminal node of the path, the algorithm terminate. In the process of finding the shortest path to given destination, the algorithm visits other node, there by obtaining a shortest path from the origin to them. We show here that when the auction algorithm is applied to this equivalent program with some special rules for choosing the initial object prices and the person submitting a bid at each iteration, one obtains the generic form of the $\varepsilon$-relaxation method. Thus, the two methods are mathematically equivalent

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Local Flooding-based AODV Protocol in Mobile Ad Hoc Networks (이동 애드혹 네트워크에서 지역적인 플러딩 기반 AODV 프로토콜)

  • Choi, Hyun-Ho
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2018.05a
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    • pp.415-418
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    • 2018
  • To reduce the flooding overhead of typical AODV, we propose a local flooding initiated by a destination. The proposed routing protocol determines the one-hop neighbor nodes around the shortest path between source and destination by overhearing, and periodically generate flooding at the destination to cope with topology changes. This flooding process involves only one-hop neighbor nodes around the shortest path for reducing the flooding overhead and forms multiple alternate paths around the shortest path. This makes it possible to seamlessly route to the newest shortest path around when the current routing path is disconnected.

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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 Kth Shortest Path Algorithm with the Link-Based Label Setting Approach and Its Application for An Alternative Routes Selection (링크표지확정 다수경로탐색 알고리즘과 대안경로선정을 위한 활용)

  • Lee, Mee-Young;Baik, Nam-Cheol;Kang, Weon-Eui;Shin, Seong-Il
    • Journal of Korean Society of Transportation
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    • v.22 no.4 s.75
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    • pp.85-96
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    • 2004
  • Given a Path represented by a sequence of link numbers in a transportation network, the reasonable path is defined as a path that any link is appeared multiple times in it. Application of the link labelmethod(LLM) to the shortest path algorithms(SPA) enables to model the reasonable path choice behavior in urban networks. This study aims at expanding the LLM to a Kth shortest path algorithms(KPSA), which adopts the node label setting method. The small-scaled network test demonstrated that the proposed algorithm works correctly and the revised Sioux fall network test showed that the path choice behaviors are reasonably reflected. In the large-scaled network based on the South Korea peninsula, drivers' route diversion perceptions are included as cost terms in total cost. The algorithm may be applied as an alternative route information tools for the deployment of ATIS.

Collision-Avoidance and Optimal Path Planning of Autonomous Mobile Robot using Soft-Computing (소프트 컴퓨팅에 의한 자율 이동로봇의 충돌 회피 및 최적 경로계획)

  • Ha, Sang-Hyung;Choe, In-Chan;Kim, Hyeon-Seong;Jeon, Hong-Tae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.2
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    • pp.195-201
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    • 2010
  • Recently, the necessity of the autonomous mobile robot is emphasized in order to enlarge the scope of activity and actively cope with the change of work environment. This paper proposes the algorithm which enables the mobile robot to avoid obstacles and lead it to the destination by the shortest path. And we verify the usability by a simulation. We made the algorithm with micro-GA and $\lambda$-geometry MRA. The area of simulation is limited to 320(width)$\times$200(length) pixels and one pixel is one centimeter. When we planned the path with only $\lambda$-geometry MRA, we could find the direction for path planning but could not find the shortest path. But when we planned the path with $\lambda$-geometry MRA and micro-GA, we could find the shortest path. So the algorithm enables us to find the direction for path planning and the shortest path.

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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A Fast Shortest Path Algorithm Between Two Points inside a Segment-Visible Polygon (선분가시 다각형 내부에 있는 두 점 사이의 최단 경로를 구하는 빠른 알고리즘)

  • Kim, Soo-Hwan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.2
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    • pp.369-374
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    • 2010
  • The shortest path between two points inside a simple polygon P is a minimum-length path among all paths connecting them which don't pass by the exterior of P. A linear time algorithm for computing the shortest path in a general simple polygon requires triangulating a polygon as preprocessing. The linear time triangulating is known to very complex to understand and implement it. It is also inefficient in case that the input without very large size is given because its time complexity has a big constant factor. In this paper, we present the customized shortest path algorithm for a segment-visible polygon which is a simple polygon weakly visible from an internal line segment. Our algorithm doesn't require triangulating as preprocessing and consists of simple procedures such as construction of convex hulls, so it is easy to implement and runs very fast in linear time.

Fast Algorithms for Computing the Shortest Path between Two Points inside a Simple Polygon (다각형 내부에 있는 두 점 사이의 최단 경로를 구하는 빠른 알고리즘)

  • Kim, Soo-Hwan;Lim, Intaek;Choi, Jinoh;Choi, Jinho
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.10a
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    • pp.807-810
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    • 2009
  • In this paper, we consider the shortest path problems in a simple polygon. The shortest path between two points inside a polygon P is a minimum-length path among all paths connecting them which don't pass by the exterior of P. A linear time algorithm for computing the shortest path in a general simple polygon requires triangulating a polygon as preprocessing. The linear time triangulating is known to very complex to understand and implement it. It is also inefficient in cases without very large input size. In this paper, we present the customized shortest path algorithms for specific polygon classes such as star-shaped polygons, edge-visible polygons, and monotone polygons. These algorithms need not triangulating as preprocessing, so they are simple and run very fast in linear time.

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Massive Graph Expression and Shortest Path Search in Interpersonal Relationship Network (인물관계망의 대용량 그래프 표현과 최단 경로 탐색)

  • Min, Kyoung-Ju;Jin, Byeong-Chan;Jung, Man-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.4
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    • pp.624-632
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    • 2022
  • Relationship networks such as an interpersonal relationship network or navigation route search can be expressed in graph form. However, as the amount of data increase, there is a problem that it is difficult to search for the desired data when it is displayed on one screen. In this paper, we propose a visualization method for searching for people, searching for the shortest path between people, and using graphs to express an interpersonal relationship network with many nodes. Unlike the search for the shortest path in the routing table, the shortest path in the interpersonal relationship network should be changeable according to the intension or importance of the researcher or user who is analyzing it. To this end, the BFS algorithm was modified to apply the characteristics of the interpersonal relationship network. For the verification of the results, the data in the character relationship information of the Korean Classics DB in the Korean Classics Translation Institute was used.

Finding the First K Shortest Loopless Paths in a Transportation Network (교통망에 적합한 K 비루프 경로 탐색 알고리즘)

  • Shin, Seong-Il
    • Journal of Korean Society of Transportation
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    • v.22 no.6
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    • pp.121-131
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    • 2004
  • The K-shortest path algorithms are largely classified into two groups: oneis for finding loopless path (simple path), another loop paths. In terms of cimputational complexities, in general the loop-paths-finding ones are considered more efficient and easier to be handled than the loopless-paths-finding. The entire path deletion methods have been known as the best efficient algorithms among the proposed K-shortest path algorithms. These algorithms exploit the K-th network transformation to prevent the same path, which was already selected as the (K-1)th path, from being redetected. Nevertheless, these algorithms have a critical limitationto be applied in the practical traffic networks because the loops, in which the same modes and links can be unlimitedly repeated, are not preventable. This research develops a way to be able to selectively control loop-paths by applying link-label. This research takes an advantage of the link-based shortest path algorithms that since the algorithms can take care of two links simultaneouslyin the searching process, the generation of loops can be controlled in the concatenation process of the searched link and the preceded link. In concatenation of two links, since the precede link can be treated a sub-shortest to this link from the origination, whether both the node and the link of the searched link were already existed or not can be evaluated. Terefore, both the node-loopless path, in which the same node is not appeared, and the link-loopless, in which the same link is not appeared, can be separately controlled. Especially, the concept of the link-loopless path is expended to take into consideration reasonable route choice behaviors such as U-Turn, P-Turn, and Turn-Penalty, which are frequently witnessed in urban traffic network with intersections. The applicability of the proposed method is verified through case studies.