• Title/Summary/Keyword: k-via shortest path

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Determination of the Shortest Transportation Path in Wartime (전시 최단수송경로 선정)

  • Yun Jong-Ok;Ha Seok-Tae
    • Journal of the military operations research society of Korea
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    • v.17 no.2
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    • pp.72-89
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    • 1991
  • In transportation network problems, it is often desirable to select multiple number of the shortect paths. On problems of finding these paths, algorithms have been developed to choose single shortest path, k-shortest paths and k-shortest paths via p-specified nodes in a network. These problems consider the time as the main factor. In wartime, we must consider availability as well as time to determine the shortest transportation path, since we must take into account enemy's threat. Therefore, this paper addresses the problem of finding the shortest transportation path considering both time and availability. To accomplish the objective of this study, values of k-shortest paths are computed using the algorithm for finding the k-shortest paths. Then availabilties of those paths are computed through simulation considering factors such as rates of suffering attack, damage and repair rates of the paths. An optimal path is selected using any one of the four decision rules that combine the value and availability of a path.

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A Development of Algorithm for Determining the k Shortest Paths Visiting p Specified Nodes in a Network (p개 특정지점을 경유하는 k-최단경로 알고리즘 개발)

  • Kim Yun-Gil;Min Gye-Ryo
    • Journal of the military operations research society of Korea
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    • v.16 no.2
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    • pp.105-117
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    • 1990
  • In the transportation network problems, it is often more desirable to select multiple number of optimal parths to prepare for additional constratints being imposed than to choose single optimal path. This paper addresses 'the problem of finding the k-shortest paths visiting p-specified nodes in a network'. The solution method is derived and the example of application is shown. The keypoint for determining the k-shortest paths via p-specified nodes is to combine the Shier's k-shortest path algorithm and the principle of optimality of dynamic programming method. Finally, for a transportation network problem consisting of national main routes, the k-shortest paths via some specified cites are obtained by using the solution method developed here.

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A New Dynamic Routing Algorithm for Multiple AGV Systems : Nonstop Preferential Detour Algorithm (다중무인운반차 시스템의 새로운 동적경로계획 알고리즘 : 비정지우선 우회 알고리즘)

  • Sin, Seong-Yeong;Jo, Gwang-Hyeon
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.9
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    • pp.795-802
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    • 2002
  • We present a new dynamic routing scheme for multiple autonomous guided vehicles (AGVs) systems. There have been so many results concerned with scheduling and routing of multiple AGV systems; however, most of them are only applicable to systems with a small number of AGVs under a low degree of concurrency. With an increased number of AGVs in recent applications, these AGV systems are faced with another problem that has never been occurred in a system with a small number AGVs. This is the stop propagation problem. That is, if a leading AGV stops then all the following AGVs must stop to avoid any collision. In order to resolve this problem, we propose a nonstop preferential detour (NPD) algorithm which is a new dynamic routing scheme employing an election algorithm. For real time computation, we introduce two stage control scheme and propose a new path searching scheme, k-via shortest path scheme for an efficient dynamic routing algorithm. Finally, the proposed new dynamic routing scheme is illustrated by an example.

Heuristic Algorithm for Searching Multiple Paths (복수 경로 탐색을 위한 휴리스틱 알고리즘에 대한 연구)

  • Shin, Yongwook;Yang, Taeyong;Baek, Won
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.3
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    • pp.226-235
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    • 2006
  • Telematics is expected to be one of the fastest growing businesses in information technology area. It may create a new emerging market in industry related to automotive, telecommunications, and information services. Especially vehicle navigation service is considered as a killer application among telematics service applications. The current vehicle navigation service typically recommends a single path that is based on the traveling time or distance from the origin to the destination. The system provides two options for users to choose either via highway or via any road. Since the traffics and road conditions of big cities are very complicated and dynamic, the demand of multi-path guidance system is increasing in telematics market. The multi-path guidance system should allow drivers to choose a path based on their individual preferences such as traveling time, distance, or route familiarity. Using the Lawler's algorithm, it is possible to find multiple paths; however, due to the lengthy computational time, it is not suitable for the real-time services. This study suggests a computationally feasible and efficient heuristic multiple paths finding algorithm that is reliable for the real-time vehicle navigation services.

FPTAS and pseudo-polynomial separability of integral hull of generalized knapsack problem

  • Hong Sung-Pil
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.10a
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    • pp.225-228
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    • 2004
  • The generalized knapsack problem, or gknap is the combinatorial optimization problem of optimizing a nonnegative linear functional over the integral hull of the intersection of a polynomially separable 0 - 1 polytope and a knapsack constraint. Among many potential applications, the knapsack, the restricted shortest path, and the restricted spanning tree problem are such examples. We prove via the ellipsoid method the equivalence between the fully polynomial approximability and a certain pseudo-polynomial separability of the gknap polytope.

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Performance Analysis of an Adaptive Link Status Update Scheme Based on Link-Usage Statistics for QoS Routing

  • Yang, Mi-Jeong;Kim, Tae-Il;Jung, Hae-Won;Jung, Myoung-Hee;Choi, Seung-Hyuk;Chung, Min-Young;Park, Jae-Hyung
    • ETRI Journal
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    • v.28 no.6
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    • pp.815-818
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    • 2006
  • In the global Internet, a constraint-based routing algorithm performs the function of selecting a routing path while satisfying some given constraints rather than selecting the shortest path based on physical topology. It is necessary for constraint-based routing to disseminate and update link state information. The triggering policy of link state updates significantly affects the volume of update traffic and the quality of services (QoS). In this letter, we propose an adaptive triggering policy based on link-usage statistics in order to reduce the volume of link state update traffic without deterioration of QoS. Also, we evaluate the performance of the proposed policy via simulations.

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Design of Near-Minimum Time Path Planning Algorithm for Autonomous Driving (무인 자율 주행을 위한 최단 시간 경로계획 알고리즘 설계)

  • Kim, Dongwook;Kim, Hakgu;Yi, Kyongsu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.5
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    • pp.609-617
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    • 2013
  • This paper presents a near-minimum time path planning algorithm for autonomous driving. The problem of near-minimum time path planning is an optimization problem in which it is necessary to take into account not only the geometry of the circuit but also the dynamics of the vehicle. The path planning algorithm consists of a candidate path generation and a velocity optimization algorithm. The candidate path generation algorithm calculates the compromises between the shortest path and the path that allows the highest speeds to be achieved. The velocity optimization algorithm calculates the lap time of each candidate considering the vehicle driving performance and tire friction limit. By using the calculated path and velocity of each candidate, we calculate the lap times and search for a near-minimum time path. The proposed algorithm was evaluated via computer simulation using CarSim and Matlab/Simulink.

An Effective Route Selection Scheme with Considering Traffic Density in VANET

  • An, Do-Sik;Cho, Gi-Hwan
    • Journal of information and communication convergence engineering
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    • v.8 no.6
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    • pp.623-629
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    • 2010
  • A geographical routing protocol is typically utilized for a route selection of VANET. Even if it is conceptually well adapted into VANET, message delivery tends to be unreliable with frequent network partitions, which mainly come from the inherent characteristics such as high mobility and irregular traffic density. In this paper, we deal with a method to enable reliable message delivery with reflecting the traffic density on routing decision. By concatenating the message delivery cost of each of inbetween junction section, $1^{st}$ and $2^{nd}$ shortest paths are initially determined. When it is not possible to deliver the message on a junction on the 1st path, we utilize two novel ideas, that is, letting the message stay on the junction to find out a new relay node, and putting a replicated copy to reach via a detour path. By using the NS-2 network simulator, our method has been examined in terms of message delivery rate and delay. It shows that our method is much efficient than the other method in the low density environment, while it brings similar results in the high density environment.

Bio-Inspired Routing Protocol for Mobile Ad Hoc Networks (이동 애드혹 네트워크를 위한 생체모방 라우팅 프로토콜)

  • Choi, Hyun-Ho;Roh, Bongsoo;Choi, HyungSeok;Lee, Jung-Ryun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.11
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    • pp.2205-2217
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    • 2015
  • Bio-inspired routing protocol uses a principle of swarm intelligence, which finds the optimal path to the destination in a distributed and autonomous way in dynamic environments, so that it can maximize routing performances, reduce control overhead, and recover a path failure quickly according to the change of network topology. In this paper, we propose a bio-inspired routing protocol for mobile ad hoc networks. The proposed scheme uses a function of overhearing via wireless media in order to obtain the routing information without additional overhead. Through overhearing, the pheromone is diffused around the shortest path between the source and destination. Based on this diffused pheromone, a probabilistic path exploration is executed and the useful alternative routes between the source and destination are collected. Therefore, the proposed routing protocol can ensure the up-to-date routing information while reducing the control overhead. The simulation results show that the proposed scheme outperforms the typical AODV and AntHocNet protocols in terms of routing performances and significantly decreases the routing overhead against the AntHocNet.

Solving Escapee-Chaser Game via Model Checking (모델 체킹을 이용한 도망자-추적자 게임 풀이)

  • Park, Sa-Choun;Kwon, Gi-Hwon
    • Journal of Korea Game Society
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    • v.4 no.2
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    • pp.13-20
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    • 2004
  • We have been interested in solving escapee-chaser game. In this game, with avoiding chaser, the escapee must escape from given male. The winning strategies of the escapee are driving the chaser to an intended place and closely evading from chaser by using some walls. According to our experience, some stages of the game are too difficult to solve manually. So we take the model checking method to get a solution of the game. Because the model checking with breadth fist search manner exhaustively searches the all state space of the game, the solution using model checking is best solution, shortest path. Fortunately, during the process of finding solution path, the state space explosion problem didn't occur, and the results of the game solving was applied to embedded system, Lego Mindstorm. Two agents, escapee and chaser, were implemented into robots and several experiments conformed the correctness of our solution.

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