• Title/Summary/Keyword: one-to-one shortest path

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단조다각형에서 최소 개수의 링크를 가진 최단 경비원경로를 구하는 선형 알고리즘 (Linear Algorithm for Finding a Shortest Watchman Route with Minimum Links in Monotone Polygons)

  • 류상률
    • 한국정보과학회논문지:시스템및이론
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    • 제26권11호
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    • pp.1437-1445
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    • 1999
  • n개의 꼭지점을 가진 단조(monotone) 다각형은 2차원 평면상의 임의의 선분에 단조 적인 2개의 체인으로 구성된다. 단조 다각형의 내부를 경로 상에서 모두 감시할 수 있는 최소 링크를 가진 경비원 경로(watchman route with minimum links)는 최소 개수의 선분으로 구성된 경로로서 하나 이상 존재할 수 있다. 본 논문에서는 단조 다각형의 최소 링크를 가진 경비원 경로들 중에서 최단 경비원 경로를 구하는 O(n) 시간의 알고리즘을 제시한다.Abstract A monotone polygon consists of n vertices and is a union of two monotone chains with respect to some line segment in the plane. A watchman route with minimum-links is a polygonal path such that each point in the interior of the polygon can be visible from at least one point along the route. There may be more than one watchman route with minimum links for given monotone polygon. In this paper, we present an algorithm with O(n) time that finds a shortest watchman route among the watchman routes with minimum links in a monotone polygon.

Optimal Path Planning Using Critical Points

  • Lee, Jin-Sun;Choi, Chang-Hyuk;Song, Jae-Bok;Chung, Woo-Jin;Kim, Mun-Sang
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.131.4-131
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    • 2001
  • A lot of path planning algorithms have been developed to find the collision-free path with minimum cost. But most of them require complicated computations. In this paper, a thinning method, which is one of the image processing schemes, was adopted to simplify the path planning procedure. In addition, critical points are used to find the shortest-distance path among all possible paths from the start to the goal point. Since the critical points contain the information on the neighboring paths, a new path can be quickly obtained on the map even when the start and goal points change. To investigate the validity of the proposed algorithm, various simulations have been performed for the environment where the obstacles with arbitrary shapes exist. It is shown that the optimal paths can be found with relative easiness.

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QoS 응용 서비스를 위한 효율적인 다중 메트릭 라우팅 방안 (Network Efficient Multi-metric Routing Algorithm for QoS Requiring Application)

  • 전한얼;김성대;이재용;김동연;김영준
    • 한국통신학회논문지
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    • 제27권11C호
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    • pp.1055-1063
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    • 2002
  • 본 논문은 여러 개의 다중 메트릭을 이용하여 경로 선택을 수행하는 문제에 대해 연구했다. 현재 인터넷에서의 라우팅은 하나의 메트릭을 이용하여 경로선택을 수행하고 있으며, 하나의 메트릭에 의해 선택된 경로는 하나의 요구사항만을 충족시켜 줄 수 있는 best-effort 서비스이다. 여러 서비스 품질(QoS)을 요구하는 콜에 대해 만족시켜주기 위해서는 경고가 여러 제한에 걸리게 된다. 많은 경우에 경로 선택문제라는 것은 NP-complete이다. 본 논문에서는 지연 메트릭에 기반을 두고 네트워크 자원에 대한 정보에 영향을 받는 비용 메트릭을 이용한 widest-least cost 라우팅 알고리즘을 제안한다. 이 알고리즘은 다중의 메트릭을 이용하는 라우팅 알고리즘으로써 트래픽 분산 능력을 갖고 있어서, 네트워크 링크가 부하가 적을 때는 최소거리 경로를 선택하도록 하는 것이고, 네트워크 부하가 클 경우에는 트래픽 엔지니어링이 수행되어 트래픽을 다른 경로로 이동시키도록 하는 것이 목표이다. 이러한 결과는 다른 알고리즘과의 실험 결과를 통해 비교하였다.

A Study of Unmanned Aerial Vehicle Path Planning using Reinforcement Learning

  • Kim, Cheong Ghil
    • 반도체디스플레이기술학회지
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    • 제17권1호
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    • pp.88-92
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    • 2018
  • Currently drone industry has become one of the fast growing markets and the technology for unmanned aerial vehicles are expected to continue to develop at a rapid rate. Especially small unmanned aerial vehicle systems have been designed and utilized for the various field with their own specific purposes. In these fields the path planning problem to find the shortest path between two oriented points is important. In this paper we introduce a path planning strategy for an autonomous flight of unmanned aerial vehicles through reinforcement learning with self-positioning technique. We perform Q-learning algorithm, a kind of reinforcement learning algorithm. At the same time, multi sensors of acceleraion sensor, gyro sensor, and magnetic are used to estimate the position. For the functional evaluation, the proposed method was simulated with virtual UAV environment and visualized the results. The flight history was based on a PX4 based drones system equipped with a smartphone.

레벨 노드 선택 기반 점대점 최단경로 알고리즘 (A Point-to-Point Shortest Path Algorithm Based on Level Node Selection)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제12권1호
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    • pp.133-140
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    • 2012
  • 본 논문은 실시간 GPS 항법시스템에서 최단경로 탐색에 일반적으로 적용되고 있는 Dijkstra 알고리즘의 수행 복잡도 $O(n^2)$을 선형인 O(n)으로 단축시킬 수 있는 알고리즘을 제안하였다. Dijkstra 알고리즘은 출발 노드부터 시작하여 모든 노드를 방문하여 최소 경로 길이를 계산한다. 따라서 "노드 수 -1"회를 수행하야 하기 때문에 복잡한 도로로 구성된 도시에서 실시간으로 최단경로 정보를 제공할 수 없는 경우도 발생한다. 제안된 알고리즘은 먼저, 그래프를 트리로, 출발 노드를 근 노드로 치환하여 트리의 각 레벨에 해당하는 외부근방 (Out-Neighbourhood) 노드 집합을 구성하고, 외부근방간과 외부근방 내부의 최소 경로 길이를 계산하는 방법을 적용하였다. 제안된 알고리즘을 양방향과 일방통행로로 구성된 복잡한 2개 그래프에 대해 알고리즘을 적용한 결과 Dijkstra 알고리즘과 동일하게 모든 노드의 최소 경로 길이를 얻는데 성공하였다. 또한, 알고리즘 수행속도를 "노드 수 -1"회에서 "레벨 수 -1"회로 약 4배 정도 단축시키는 효과를 얻었다. 제안된 알고리즘을 GPS 실시간 시스템에 적용하여 러시아워나 차량 사고로 인한 병목현상이 발생하였을 때, 최단 경로 우회 도로 정보를 실시간으로 제공할 수 있다면 운전자의 만족도를 크기 향상시킬 수 있을 것이다.

DEM과 장애물 지도를 이용한 거리변환 경로계획 (Distance Transform Path Planning using DEM and Obstacle Map)

  • 최덕선;지태영;김준;박용운;류철형
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 학술대회 논문집 정보 및 제어부문
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    • pp.92-94
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    • 2005
  • Unmanned ground vehicles(UGVs) are expected to play a key role in the future army. These UGVs would be used for weapons platforms. logistics carriers, reconnaissance, surveillance, and target acquisition in the rough terrain. Most of path planning methodologies for UGVs offer an optimal or sub-optimal shortest-path in a 20 space. However, those methodologies do not consider increment and reduction effects of relative distance when a UGV climbs up or goes down in the slope of rough terrain. In this paper, we propose a novel path planning methodology using the modified distance transform algorithm. Our proposed path planning methodology employs two kinds of map. One is binary obstacle map. The other is the DEM. With these two maps, the modified distance transform algorithm in which distance between cells is increased or decreased by weighting function of slope is suggested. The proposed methodology is verified by various simulations on the randomly generated DEM and obstacle map.

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상황인식 기반 지능형 최적 경로계획 (Intelligent Optimal Route Planning Based on Context Awareness)

  • 이현정;장용식
    • Asia pacific journal of information systems
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    • 제19권2호
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    • pp.117-137
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    • 2009
  • Recently, intelligent traffic information systems have enabled people to forecast traffic conditions before hitting the road. These convenient systems operate on the basis of data reflecting current road and traffic conditions as well as distance-based data between locations. Thanks to the rapid development of ubiquitous computing, tremendous context data have become readily available making vehicle route planning easier than ever. Previous research in relation to optimization of vehicle route planning merely focused on finding the optimal distance between locations. Contexts reflecting the road and traffic conditions were then not seriously treated as a way to resolve the optimal routing problems based on distance-based route planning, because this kind of information does not have much significant impact on traffic routing until a a complex traffic situation arises. Further, it was also not easy to take into full account the traffic contexts for resolving optimal routing problems because predicting the dynamic traffic situations was regarded a daunting task. However, with rapid increase in traffic complexity the importance of developing contexts reflecting data related to moving costs has emerged. Hence, this research proposes a framework designed to resolve an optimal route planning problem by taking full account of additional moving cost such as road traffic cost and weather cost, among others. Recent technological development particularly in the ubiquitous computing environment has facilitated the collection of such data. This framework is based on the contexts of time, traffic, and environment, which addresses the following issues. First, we clarify and classify the diverse contexts that affect a vehicle's velocity and estimates the optimization of moving cost based on dynamic programming that accounts for the context cost according to the variance of contexts. Second, the velocity reduction rate is applied to find the optimal route (shortest path) using the context data on the current traffic condition. The velocity reduction rate infers to the degree of possible velocity including moving vehicles' considerable road and traffic contexts, indicating the statistical or experimental data. Knowledge generated in this papercan be referenced by several organizations which deal with road and traffic data. Third, in experimentation, we evaluate the effectiveness of the proposed context-based optimal route (shortest path) between locations by comparing it to the previously used distance-based shortest path. A vehicles' optimal route might change due to its diverse velocity caused by unexpected but potential dynamic situations depending on the road condition. This study includes such context variables as 'road congestion', 'work', 'accident', and 'weather' which can alter the traffic condition. The contexts can affect moving vehicle's velocity on the road. Since these context variables except for 'weather' are related to road conditions, relevant data were provided by the Korea Expressway Corporation. The 'weather'-related data were attained from the Korea Meteorological Administration. The aware contexts are classified contexts causing reduction of vehicles' velocity which determines the velocity reduction rate. To find the optimal route (shortest path), we introduced the velocity reduction rate in the context for calculating a vehicle's velocity reflecting composite contexts when one event synchronizes with another. We then proposed a context-based optimal route (shortest path) algorithm based on the dynamic programming. The algorithm is composed of three steps. In the first initialization step, departure and destination locations are given, and the path step is initialized as 0. In the second step, moving costs including composite contexts into account between locations on path are estimated using the velocity reduction rate by context as increasing path steps. In the third step, the optimal route (shortest path) is retrieved through back-tracking. In the provided research model, we designed a framework to account for context awareness, moving cost estimation (taking both composite and single contexts into account), and optimal route (shortest path) algorithm (based on dynamic programming). Through illustrative experimentation using the Wilcoxon signed rank test, we proved that context-based route planning is much more effective than distance-based route planning., In addition, we found that the optimal solution (shortest paths) through the distance-based route planning might not be optimized in real situation because road condition is very dynamic and unpredictable while affecting most vehicles' moving costs. For further study, while more information is needed for a more accurate estimation of moving vehicles' costs, this study still stands viable in the applications to reduce moving costs by effective route planning. For instance, it could be applied to deliverers' decision making to enhance their decision satisfaction when they meet unpredictable dynamic situations in moving vehicles on the road. Overall, we conclude that taking into account the contexts as a part of costs is a meaningful and sensible approach to in resolving the optimal route problem.

선박 애드 혹 네트워크를 위한 확장탐색구역 경로배정 프로토콜 (EZR: Expansive Search Zone Routing Protocol for Ship Ad Hoc Networks)

  • 손주영
    • Journal of Advanced Marine Engineering and Technology
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    • 제32권8호
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    • pp.1269-1277
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    • 2008
  • Ships at sea cannot exchange data among them easily so far. Basically voice-oriented communication systems are the main methods, some of them utilize the HF radio systems at lower bit rates, and for higher bit rates, the Inmarsat or VSAT are adopted. None of them are used widely because of lower qualities and higher costs. There exist many technical and economical limits to have the Internet service just like on land such as the WWW service. In order to achieve the improved transmission rates of the maritime communication networks at farther sea, MANET(Mobile Ad Hoc Network) is one of the most practical models. In this paper, a new routing protocol named EZR (Expansive Search Zone Routing Protocol) is proposed, which is based on SANET (Ship Ad Hoc Network) model that has some different features from MANET and VANET (Vehicular Ad Hoc Network). The search zone for the shortest path is firstly found by EZR. If no path is searched in the zone, the zone is expanded according to the rule of EZR. The zone-expanding and path-searching procedures are repeated until the path is found out. The performance of EZR is evaluated and compared with LAR protocol which is one of the most typical routing protocols based on geographical information. The simulated results show that EZR is much better than LAR at sea environments in terms of routing success rate, route optimality, and a single index of performance combined the previous two metrics.

Complete Time Algorithm for Stadium Construction Scheduling Problem

  • Lee, Sang-Un
    • 한국컴퓨터정보학회논문지
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    • 제20권9호
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    • pp.81-86
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    • 2015
  • This paper suggests heuristic algorithm with linear time complexity to decide the normal and optimal point at minimum loss/maximum profit maximum shortest scheduling problem with additional loss cost and bonus profit cost. This algorithm computes only the earliest ending time for each node. Therefore, this algorithm can be get the critical path and project duration within O(n) time complexity and reduces the five steps of critical path method to one step. The proposed algorithm can be show the result more visually than linear programming and critical path method. For real experimental data, the proposed algorithm obtains the same solution as linear programming more quickly.

도서관의 자동 도서 관리를 위한 군집화 기반 다중경유지의 최단 경로 알고리즘 개발 (Development of the Shortest Path Algorithm for Multiple Waypoints Based on Clustering for Automatic Book Management in Libraries)

  • 강효정;전은주;박찬정
    • 한국콘텐츠학회논문지
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    • 제21권1호
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    • pp.541-551
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    • 2021
  • 도서관 사서의 수많은 업무 중 도서 정리 업무는 사서가 일일이 정리해야 하는 일이기 때문에, 투입되는 인적·시간적 비용이 크다. 이러한 문제를 해결하기 위해 최근 인공지능 기술을 접목한 도서 정리 로봇에 관한 관심이 증가하고 있다. 본 연구에서는 도서 정리 로봇에 적용할 수 있는 다중경유지 최단 경로 알고리즘인 K-ACO 알고리즘을 제안한다. 제안하는 K-ACO 알고리즘은 하나의 로봇이 아니라 여러 대의 로봇을 가정하고 있다. 또한, K-ACO는 개미 알고리즘을 개선하여 K개의 군집을 만들고 각 군집 별 최단 경로를 제공해준다. 본 논문에서는 제안한 알고리즘의 성능 분석을 도서 정리 시간의 관점에서 실시하였다. 제안한 알고리즘인 K-ACO 알고리즘을 한 대학교 도서관에 적용하여 현재 도서 정리 알고리즘과 비교해 보았다. 시뮬레이션을 통해 제안하는 알고리즘은 도서 정리 업무를 치우치지 않고 공평하게 배분하여 궁극적으로 전체 일이 끝나는 시간을 확연히 줄일 수 있음을 알 수 있었다. 본 연구 결과를 통하여 제안한 알고리즘의 적용으로 도서 정리에 필요한 인적·시간적 비용을 절감하여 도서관 내 양질의 서비스 향상을 기대한다.