• Title/Summary/Keyword: K-th Path

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A New Algorithm for K Shortest Paths Problem (복수최단경로의 새로운 최적해법)

  • 장병만
    • Journal of the Korean Operations Research and Management Science Society
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    • v.26 no.3
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    • pp.79-94
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    • 2001
  • This paper presents a new algorithm for the K shortest paths Problem which develops initial K shortest paths, and repeat to expose hidden shortest paths with dual approach and to replace the longest path in the present K paths. The initial solution comprises K shortest paths among shortest paths to traverse each arc in a Double Shortest Arborescence which is made from bidirectional Dijkstra algorithm. When a crossing node that have two or more inward arcs is found at least three time by turns in this K shortest paths, there may be some hidden paths which are shorter than present k-th path. To expose a hidden shortest path, one inward arc of this crossing node is chose by means of minimum detouring distance calculated with dual variables, and then the hidden shortest path is exposed with joining a detouring subpath from source to this inward arc and a spur of a feasible path from this crossing node to sink. If this exposed path is shorter than the k-th path, the exposed path replaces the k-th path. This algorithm requires worst case time complexity of O(Kn$^2$), and O(n$^2$) in the case k$\leq$3.

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A Method to Determine the Weights for Mission Type based Global Path Planning (임무유형 기반 전역경로계획을 위한 가중치 결정방법)

  • Park, Won-Ik;Lee, Ho-Joo;Kim, Do-Jong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.17 no.6
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    • pp.711-717
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    • 2014
  • Global path planning for autonomous driving of unmanned ground vehicle is essential. When setting global path planning, its accuracy and effectiveness is increased if useful information such as terrain type of driving route has been reflected on global path planning. As a method to reflect the terrain type, there is a method to perform global path planning by applying the weight to each terrain type. At this time, how to assign appropriate weights corresponding to the terrain type is more important than anything. In this paper, we proposed a method to determine the weight for terrain type that may affect the results of global path planning. Moreover, we presented effective operation method and design results(GUI) to check the possibility of the use of the proposed method.

An Approach to Global Path Replanning Method Considering 4D Environmental Information (4D 환경정보를 반영한 광역 경로수정계획 기법에 관한 연구)

  • Kwak, Dong Jun;Shin, Jongho;Kim, Chong Hui
    • Journal of the Korea Institute of Military Science and Technology
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    • v.19 no.6
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    • pp.779-788
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    • 2016
  • In this paper, a global path replanning method is proposed in order to plan a global path minimizing the risk of the unmanned vehicle on the battlefield. We first introduce 4D environmental information consisting of mobility, visibility, kill, and hit attributes, and a unified threat map and a mobility map are defined by the four attributes. Using the mobility map, the unmanned vehicle can find the shortest path on the traversable area. And then taking into account the deterrent according to the type of the unmanned vehicle on the integrated threat map, the vehicle can generate a route to suppress or avoid the threat of enemy as well. Moreover, we present a waypoints bypassing method to exclude unnecessary waypoints rather than the mission point when planning paths for the multiple waypoints.

Analysis of the Availability of Risk Assessment Model for Typhoon Path which Affected Korean Peninsula (한반도에 영향을 미친 태풍 경로별 재해평가모형의 활용도 분석)

  • Park, Jong-Kil;Lee, Bo-Ram;Jung, Woo-Sik
    • Journal of Environmental Science International
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    • v.25 no.11
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    • pp.1521-1530
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    • 2016
  • As a result of dividing typhoon that affected Korean Peninsular between 1999 and 2012 into 7 types of path and entering forecast field and analysis field of RDAPS, until 36 hours from the time of forecast, it is reliable to use the forecast field of RDAPS to predict typhoon and for each typhoon path, the difference between the forecast and the analysis shows normal distribution, which is usable for weather forecast until the $36^{th}$ hour. In the $48^{th}$ hour from the time of forecast, the difference of result depending on each typhoon path increased, which was analyzed to be due to errors in the forecast. It was expected that relatively reasonable results should be shown if the $36^{th}$ hour forecast is used to predict the strength and distribution of strong wind. As a result of using Korean RAM and observing the difference of the maximum damage, reliability was secured up to 36 hours and after 48hours, it was expected that the fluctuation of results may become more severe.

Performance Evaluation of Medical Image Transmission System using TH UWB-IR Technology

  • Lee, Yang-Sun;Kang, Heau-Jo
    • Journal of information and communication convergence engineering
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    • v.4 no.3
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    • pp.97-100
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    • 2006
  • In this paper, the transmission service for medical image is proposed via IEEE 802.15.4a on WPAN environment. Also, transmission and receiving performance of medical image using TH UWB-IR system is evaluated on indoor multi-path fading environment. On the results, the proposed scheme can solve the problem of interference from the medical equipment in same frequency band, and minimize the loss due to the indoor multi-path fading environment. Therefore, the transmission with low power usage is possible.

A Nearly Optimal One-to-Many Routing Algorithm on k-ary n-cube Networks

  • Choi, Dongmin;Chung, Ilyong
    • Smart Media Journal
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    • v.7 no.2
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    • pp.9-14
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    • 2018
  • The k-ary n-cube $Q^k_n$ is widely used in the design and implementation of parallel and distributed processing architectures. It consists of $k^n$ identical nodes, each node having degree 2n is connected through bidirectional, point-to-point communication channels to different neighbors. On $Q^k_n$ we would like to transmit packets from a source node to 2n destination nodes simultaneously along paths on this network, the $i^{th}$ packet will be transmitted along the $i^{th}$ path, where $0{\leq}i{\leq}2n-1$. In order for all packets to arrive at a destination node quickly and securely, we present an $O(n^3)$ routing algorithm on $Q^k_n$ for generating a set of one-to-many node-disjoint and nearly shortest paths, where each path is either shortest or nearly shortest and the total length of these paths is nearly minimum since the path is mainly determined by employing the Hungarian method.

Experimental Verification of 1D Virtual Force Field Algorithm on Uneven and Dusty Environment (비평지 및 먼지 환경에서 1차원 가상힘장 알고리즘의 실험적 검증)

  • Choe, Tok Son;Joo, Sang-Hyun;Park, Yong-Woon;Park, Jin-Bae
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.5
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    • pp.647-653
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    • 2017
  • In this paper, we deal with the experimental verification of 1D virtual force field algorithm based reflexive local path planning on uneven and dusty environment. The existing obstacle detection method on uneven and dusty environment and 1D virtual force field based reflexive local path planning algorithm simply are introduced. Although the 1D virtual force field algorithm is verified by various simulations, additional efforts are needed to verify this algorithm in the real-world. The introduced methods are combined with each other, installed to real mobile platforms and verified by various real experiments.

A study on the plan for the reduction of NSD noise according to path control method (패스(Path)제어 방법을 통한 NSD 소음 저감 방안에 관한 연구)

  • Kim, Seon-Jin;Kim, Sung-Gon;Kang, Tae-Woo;Shin, Cheol-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.10
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    • pp.401-409
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    • 2018
  • This paper presents means of reducing noise in NSD using path control methods for Light Tactical Vehicles (LTV). NSD is applied to the rear axle of LTVs for enhancing mobility. NSD can improve mobility of vehicles with a high locking ratio but causes noise under certain conditions due to its mechanical structure. This noise results from contact between gears due to the differential role of NSD. The noise affects users, so users have continually requested noise reductions. Though the noise doesn't affect product performance and durability, and satisfies the National Defense's noise condition standards, users request for noise reduction is the focus of this research. Eliminating the source of sound for LTVs is realistically limited, so this research applies a path control method to reduce noise by controlling the path which transmits the noise. This study improves the structural delivery system and examines methods of reducing noise in LTV systems.

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.

An Optimal Algorithm for Maximum Origin Destination Flow Path in the Transportation Network (수송 네트워크에서 최대물동량경로 문제의 최적해법)

  • 성기석;박순달
    • Journal of the Korean Operations Research and Management Science Society
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    • v.16 no.1
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    • pp.1-12
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    • 1991
  • This paper studies an optimal algorithm for the Maximum Origin-Destination Flor Path (MODFP) in an acyclic transportation network. We define a Pseudo-Flow each are so that it can give an upper bound to the total flow of a given path. And using the K-th Shortest Path algorithm we obtain upper bound of MODF which is decreasing as the number of searched path grows. Computational Complexity of optimal algorithm is O(K + m) $n_{2}$), K being the total number of searched path. We proved that the problem complexity of finding MODFP in an acyclic network is NP-hard, showing that the-satisfiability problem can be polynomialy reduced to this problem. And we estimated the average of the number K as being (m/n)$^{1,08}$ Exp (0.00689gm) from the computational experiments.

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