• Title/Summary/Keyword: Shortest Path

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Spacecraft attitude control using quanternion parameters

  • Yoon, Hyungjoo;Tahk, Minjea
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.115-118
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    • 1995
  • This paper present an attitude control using quaternions as feedback attitude errors. The Euler's eigenaxis rotation provides the shortest angular path between two attitudes. This eigenaxis rotation can be achieved by using quaternions since quaternions are related with the eigenaxis. The suggested controller uses error quaternions and body angular rates and generates a decoupling control torque that counteracts the natural gyroscopic coupling torque. The momentum dumping strategy using the earth magnetic field is also applied in this paper to unload the angular momentum of the reaction wheels used in the attitude control.

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Traffic Capacity Estimate of Personal Rapid Transit System based on Digraph Model (소형자동궤도차량 시스템의 그래프 모델 기반 수송능력 추정)

  • Won, Jin-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.3
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    • pp.263-267
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    • 2007
  • This study proposes a new methodology to estimate the traffic capacity of a personal rapid transit(PRT) system. The proposed method comprises three steps. The first step models the guideway network(GN) of PRT as a digraph, where its node and link represent a station and a one-way guideway link between two stations, respectively. Given local vehicle control strategies, the second step formulates the local traffic capacities through the nodes and links of the GN model. The third step estimates the worst-case local traffic demands based on a shortest-path routing algorithm and an empty vehicle allocation algorithm. By comparing the traffic estimates to the local traffic capacities, we can determine the feasibility of the given GN in traffic capacity.

A Study on Various Properties of Tropical Plane Curves (열대평면곡선의 여러 가지 성질에 대한 연구)

  • Kim, Young Rock;Shin, Yong-Su
    • Journal for History of Mathematics
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    • v.29 no.5
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    • pp.295-314
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    • 2016
  • In tropical geometry, the sum of two numbers is defined as the minimum, and the multiplication as the sum. We learned that dynamic programming in tropical algebraic geometry can be used to find the shortest path in graphs. We have also learned about the Bezout's Theorem, which is a theorem concerning the intersections of tropical plane curves, and the stable intersection principle.

Analysis of Real-time, Shortest-Path Finding Algorithms for Unknown Environments (미지의 공간상의 실시간 최단 경로 탐색 알고리즘에 대한 분석)

  • Choi, Eun-Mi;Kim, In-Cheol
    • Annual Conference of KIPS
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    • 2005.05a
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    • pp.419-422
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    • 2005
  • 본 논문은 미지의 공간 그래프에 대한 실시간 최단 경로 탐색 알고리즘인 $RTA{\ast}$ 알고리즘과 $PHA{\ast}$ 알고리즘을 소개하고, 예제 그래프를 통해 이들의 특성을 설명한다. 또 3차원 온라인 게임 환경인 언리얼 토너먼트(Unreal Tournament) 게임과 Gamebots 시스템을 이용하여 두 알고리즘 간의 탐색 최적성과 효율성을 비교하였다. 이 실험을 통하여 $PHA{\ast}$ 알고리즘은 언제나 최선의 경로를 탐색하지만 이동경로가 많고, 시간이 많이 걸릴 수 있으며, $RTA{\ast}$는 최적의 경로 혹은 차선 경로를 빠른 시간 내에 탐색함을 확인 하였다. 따라서 이러한 특성을 바탕으로 주어진 탐색 환경의 조건에 따라 두 알고리즘을 선택적으로 적용함으로써 보다 높은 효과를 얻을 수 것으로 기대한다.

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Steiner Tree Compilation of Multicast under Differentiated Services Constraints

  • Vrontis, Stavros;Xynogalas, Stavros;Sykas, Efstathios
    • Journal of Communications and Networks
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    • v.9 no.1
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    • pp.84-92
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    • 2007
  • This paper deals with the creation of multicast trees in a differentiated services (DiffServ) domain. Initially, we model the integration problems of multicast & DiffServ and give a general de-scription of our framework for multicast provisioning in DiffServ domains. Within this framework, we introduce a novel heuristic algorithm which calculates the multicast trees efficiently. The multicast tree's format and the bandwidth constraints per service class are modeled. The heuristic is based on the Dijkstra's shortest path algorithm and aims to produce the cheapest possible trees (Steiner tree problem) that conform to the defined model. The produced trees can be considered as DiffServ-customized Steiner trees. Furthermore, we evaluate the algorithm with theoretical and experimental analysis and finally, we present our conclusions.

App]ication of Supervisory Control Theory to Modeling and Control of a Fleet of Mobile Robots (다중이동로봇의 모델링 및 제어를 위한 관리제어이론의 응용에 관한 연구)

  • 신성영;조광현
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.59-59
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    • 2000
  • In this paper, we present a framework for modeling and control of multiple mobile robots which cowork within a bounded workspace and limited resources. To achieve this goal, we adopt a formalism of discrete event system and supervisory control theory based on Petri nets. We can divide our whole story into two parts: first, we search the shortest path using the distance vector algorithm, and then we construct the control scheme from which a number of mobile robots can work within a bounded workspace without any collision. The use of Petri net modeling allows us In synthesize a controller which achieves a control specification for the desired closed-loop behavior efficiently. Finally, the usefulness of the proposed Petri net formalism is illustrated by a simulation study.

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Optimal Layout for Irrigation Pipeline Networks using Graph Theory (Graph 이론을 이용한 농업용 관수로망의 최적배치)

  • Im, Sang-Jun;Park, Seung-Woo;Cho, Jae-Pil
    • Journal of Korean Society of Rural Planning
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    • v.6 no.2 s.12
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    • pp.12-19
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    • 2000
  • Irrigation pipeline networks consist mainly of buried pipes and are therefore relatively free from topographic constraints. Installation of irrigation pipeline systems is increasing since the systems have several advantages compared to open channel systems. To achieve economic design of pipeline networks, the layout should meet several conditions such as shortest path, maximum flow, and least cost. Graph theory is mathematical tool which enable to find out optimum layout for complicated network systems. In this study, applicability of graph theory to figure out optimum layout of irrigation pipeline networks was evaluated.

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An Heuristic Shortest Path Finding Method in the Online Social Network (온라인 소셜 네트워크에서의 휴리스틱 최단경로 탐색 방법)

  • Sohn, Jong-Soo;Cho, Soo-Whan;Chung, In-Jeong
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06b
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    • pp.384-386
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    • 2012
  • 최근, 온라인 소셜 네트워크 서비스의 사용자가 크게 늘어나면서 온라인 사용자들의 특성을 연구하기위한 방안으로 소셜 네트워크 분석이 주목받고 있다. 그러나 대부분의 소셜 네트워크 분석 방법은 두 노드 사이의 최단경로를 계산해야하므로 계산 시간이 오래 걸리는 단점이 있다. 본 논문에서는 휴리스틱 탐색방법의 하나인 최상우선 탐색 방법을 온라인 소셜 네트워크에 적합하도록 수정한 최단경로 탐색 방법을 제안한다. 제안한 방법은 그래프에서 아크의 개수를 평가 값으로 사용하는 휴리스틱 함수를 사용하며 탐색의 효율성을 위하여 경사트리를 제거한 후 경로를 탐색한다. 그리고 검증을 위하여 약 16만 사용자로 구성된 실제 온라인 소셜 네트워크를 수집하여 너비우선 탐색 방법과 비교 실험을 하였다. 실험 결과, 본 논문에서 제안한 방법이 너비우선 탐색 방법에 비해 정확도는 80% 정도로 다소 떨어지지만 계산 속도가 약 7.4배 향상됨을 확인하였다. 본 논문에서 제안한 방법은 소셜 네트워크 분석의 시간을 향상시켜 여러 분야에서 사회 현상 및 동향을 다양하게 분석하는데 유용하다.

Design and Implementation of Shortest Path Manager for Real-time Mobile GIS (실시간 모바일 GIS를 위한 최단 경로 관리자 설계 및 구현)

  • Heo, Nam-Eun;Kim, Kyung-Chang
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.11b
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    • pp.184-186
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    • 2005
  • 최근 모바일 기기의 성능이 발전함에 따라 다양한 상용 서비스들이 제공되고 있는데 특히 GIS를 이용한 검색 서비스나 차량용 네비게이션 시스템이 대표적이다. 본 논문에서는 GIS서버의 전반적인 시스템 구조와 최단 거리 관리자의 설계 및 구현, 서버 및 PDA기반의 클라이언트 사용자 인터페이스 등에 대해서 소개를 하고자 한다. 최단 경로 관리자는 클라이언트에서 질의 시 목적지까지 최단 거리를 구하여 질의 관리자에 결과를 넘겨주는 역할을 한다. 클라이언트 사용자 인터페이스 부분은 사용자가 쉽게 질의를 작성할 수 있도록 구현 하였다.

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Joint Routing and Channel Assignment in Multi-rate Wireless Mesh Networks

  • Liu, Jiping;Shi, Wenxiao;Wu, Pengxia
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.5
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    • pp.2362-2378
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    • 2017
  • To mitigate the performance degradation caused by performance anomaly, a number of channel assignment algorithms have been proposed for multi-rate wireless mesh networks. However, network conditions have not been fully considered for routing process in these algorithms. In this paper, a joint scheme called Multi-rate Dijkstra's Shortest path - Rate Separated (MDSRS) is proposed, combining routing metrics and channel assignment algorithm. In MDSRS, the routing metric are determined through the synthesized deliberations of link costs and rate matches; then the rate separated channel assignment is operated based on the determined routing metric. In this way, the competitions between high and low rate links are avoided, and performance anomaly problem is settled, and the network capacity is efficiently improved. Theoretical analysis and NS-3 simulation results indicate that, the proposed MDSRS can significantly improve the network throughput, and decrease the average end-to-end delay as well as packet loss probability. Performance improvements could be achieved even in the heavy load network conditions.