• Title/Summary/Keyword: Shortest Path Problem

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A Study on the Shortest path of use Auction Algorithm (Auction 알고리즘을 이용한 최단경로에 관한 연구)

  • 우경환
    • Proceedings of the Korea Society for Simulation Conference
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    • 1998.03a
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    • pp.11-16
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    • 1998
  • The classical algorithm for solving liner network flow problems are primal cost improvement method, including simplex method, which iteratively improve the primal cost by moving flow around simple cycles, which iteratively improve the dual cost by changing the prices of a subset of nodes by equal amounts. Typical iteration/shortest path algorithm is used to improve flow problem of liner network structure. In this paper we stdudied about the implemental method of shortest path which is a practical computational aspects. This method can minimize the best neighbor node and also implement the typical iteration which is $\varepsilon$-CS satisfaction using the auction algorithm of linear network flow problem

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A Genetic Algorithm for Route Guidance System in Intermodal Transportation Networks with Time - Schedule Constraints (서비스시간 제한이 있는 복합교통망에서의 경로안내 시스템을 위한 유전자 알고리듬)

  • Chang, In-Seong
    • Journal of Korean Institute of Industrial Engineers
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    • v.27 no.2
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    • pp.140-149
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    • 2001
  • The paper discusses the problem of finding the Origin-Destination(O-D) shortest paths in internodal transportation networks with time-schedule constraints. The shortest path problem on the internodal transportation network is concerned with finding a path with minimum distance, time, or cost from an origin to a destination using all possible transportation modalities. The time-schedule constraint requires that the departure time to travel from a transfer station to another node takes place only at one of pre-specified departure times. The scheduled departure times at the transfer station are the times when the passengers are allowed to leave the station to another node using the relative transportation modality. Therefore, the total time of a path in an internodal transportation network subject to time-schedule constraints includes traveling time and transfer waiting time. In this paper, a genetic algorithm (GA) approach is developed to deal with this problem. The effectiveness of the GA approach is evaluated using several test problems.

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Development of a Global Searching Shortest Path Algorithm by Genetic Algorithm (유전 알고리듬을 이용한 전역탐색 최단경로 알고리듬개발)

  • 김현명;임용택
    • Journal of Korean Society of Transportation
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    • v.17 no.2
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    • pp.163-178
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    • 1999
  • Conventional shortest path searching a1gorithms are based on the partial searching method such as Dijsktra, Moore etc. The a1gorithms are effective to find a shortest path in mini-modal condition of a network. On the other hand, in multi-modal case they do not find a shortest path or calculate a shortest cost without network expansion. To copy with the problem, called Searching Area Problem (SAP), a global searching method is developed in this paper with Genetic Algorithm. From the results of two examples, we found that the a1gorithm is useful to solving SAP without network expansion.

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Machine Diagnosis and Maintenance Policy Generation Using Adaptive Decision Tree and Shortest Path Problem (적응형 의사결정 트리와 최단 경로법을 이용한 기계 진단 및 보전 정책 수립)

  • 백준걸
    • Journal of the Korean Operations Research and Management Science Society
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    • v.27 no.2
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    • pp.33-49
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    • 2002
  • CBM (Condition-Based Maintenance) has increasingly drawn attention in industry because of its many benefits. CBM Problem Is characterized as a state-dependent scheduling model that demands simultaneous maintenance actions, each for an attribute that influences on machine condition. This problem is very hard to solve within conventional Markov decision process framework. In this paper, we present an intelligent machine maintenance scheduler, for which a new incremental decision tree learning method as evolutionary system identification model and shortest path problem as schedule generation model are developed. Although our approach does not guarantee an optimal scheduling policy in mathematical viewpoint, we verified through simulation based experiment that the intelligent scheduler is capable of providing good scheduling policy that can be used in practice.

A Path Planning to Maximize Survivability for Unmanned Aerial Vehicle based on 3-dimensional Environment (3차원 환경 기반 무인 항공기 생존성 극대화를 위한 이동 경로 계획)

  • Kim, Ki-Tae;Jeon, Geon-Wook
    • IE interfaces
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    • v.24 no.4
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    • pp.304-313
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    • 2011
  • An Unmanned Aerial Vehicle(UAV) is a powered pilotless aircraft, which is controlled remotely or autonomously. UAVs are currently employed in many military missions(surveillance, reconnaissance, communication relay, targeting, strike etc.) and a number of civilian applications(communication service, broadcast service, traffic control support, monitoring, measurement etc.). For accomplishing the UAV's missions, guarantee of survivability should be preceded. The main objective of this study is the path planning to maximize survivability for UAV based on 3-dimensional environment. A mathematical programming model is suggested by using MRPP(Most Reliable Path Problem) and solved by transforming MRPP into SPP(Shortest Path Problem). This study also suggests a $A^*PS$ algorithm based on 3-dimensional environment to UAV's path planning. According to comparison result of the suggested algorithm and SPP algorithms (Dijkstra, $A^*$ algorithm), the suggested algorithm gives better solution than SPP algorithms.

A Selection of Path Planning Algorithm to Maximize Survivability for Unmanned Aerial Vehicle (무인 항공기 생존성 극대화를 위한 이동 경로 계획 알고리즘 선정)

  • Kim, Ki-Tae;Jeon, Geon-Wook
    • Journal of the Korea Safety Management & Science
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    • v.13 no.2
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    • pp.103-113
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    • 2011
  • This research is to select a path planning algorithm to maximize survivability for Unmanned Aerial Vehicle(UAV). An UAV is a powered pilotless aircraft, which is controlled remotely or autonomously. UAVs are currently employed in many military missions(surveillance, reconnaissance, communication relay, targeting, strike etc.) and a number of civilian applications(communication service, broadcast service, traffic control support, monitoring, measurement etc.). In this research, a mathematical programming model is suggested by using MRPP(Most Reliable Path Problem) and verified by using ILOG CPLEX. A path planning algorithm for UAV is selected by comparing of SPP(Shortest Path Problem) algorithms which transfer MRPP into SPP.

A Border Line-Based Pruning Scheme for Shortest Path Computations

  • Park, Jin-Kyu;Moon, Dae-Jin;Hwang, Een-Jun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.4 no.5
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    • pp.939-955
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    • 2010
  • With the progress of IT and mobile positioning technologies, various types of location-based services (LBS) have been proposed and implemented. Finding a shortest path between two nodes is one of the most fundamental tasks in many LBS related applications. So far, there have been many research efforts on the shortest path finding problem. For instance, $A^*$ algorithm estimates neighboring nodes using a heuristic function and selects minimum cost node as the closest one to the destination. Pruning method, which is known to outperform the A* algorithm, improves its routing performance by avoiding unnecessary exploration in the search space. For pruning, shortest paths for all node pairs in a map need to be pre-computed, from which a shortest path container is generated for each edge. The container for an edge consists of all the destination nodes whose shortest path passes through the edge and possibly some unnecessary nodes. These containers are used during routing to prune unnecessary node visits. However, this method shows poor performance as the number of unnecessary nodes included in the container increases. In this paper, we focus on this problem and propose a new border line-based pruning scheme for path routing which can reduce the number of unnecessary node visits significantly. Through extensive experiments on randomly-generated, various complexity of maps, we empirically find out optimal number of border lines for clipping containers and compare its performance with other methods.

An Efficient Implementation of the MPS algorithm for the K-Shortest Path Problem (K-최단경로문제를 위한 MPS 방법의 효율적인 구현)

  • 도승용
    • Journal of the military operations research society of Korea
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    • v.25 no.1
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    • pp.29-36
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    • 1999
  • In this paper, we are concerned with the K-shortest loopless path problem. The MPS algorithm, recently proposed by Martins et al., finds paths efficiently because it solves the shortest path problem only one time unlike other algorithms. But its computational complexity has not been known yet. We propose a few techniques by which the MPS algorithm can be implemented efficiently. First, we use min-heap data structure for the storage of candidate paths in order to reduce searching time for finding minimum distance path. Second, we prevent the eliminated paths from reentering in the list of candidate paths by lower bounding technique. Finally, we choose the source mode as a deviation node, by which selection time for the deviation node is reduced and the performance is improved in spite of the increase of the total number of candidate paths.

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Implementation of Systolic Array for the Single-Source Shortest Path Problem

  • Lee, Jae-Jin;Park, Jeong-Pil;Hwang, In-Jae;Song, Gi-Yong
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.361-364
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    • 2002
  • Shortest path problem belongs to the combinatorial optimization problem and plays an important role in the field of computer aided design. It can either be directly applied as in the case of routing or serves as a important subroutine in more complex problems. In this paper, a systolic array for the SSSP(single-source shortest path problem) was derived. The array was modeled and simulated in RTL level using VHDL, then synthesized to a schematic and finally implemented to a layout using the cell library based on 0.35 $\mu\textrm{m}$ CMOS 1-poly 4-metal CMOS technology.

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A Study on Area Division Method to use the Hour-based Vehicle Speed Information (시간단위 차량통행 속도정보의 활용을 위한 구역분할 방법의 연구)

  • Park, Sung-Mee;Moon, Gee-Ju
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.4
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    • pp.201-208
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    • 2010
  • This research is about developing an efficient solution procedure for the vehicle routing problem under varying vehicle moving speeds for hour-based time interval. Different moving speeds for every hour is too difficult condition to solve for this type of combinatorial optimization problem. A methodology to divide the 12 hour based time interval offered by government into 5 different time intervals and then divide delivery area into 12 small divisions first and then re-organizing them into 5 groups. Then vehicle moving speeds are no longer varying in each of the 5 divisions. Therefore, a typical TSP solution procedure may be applied to find the shortest path for all 5 divisions and then connect the local shortest paths to form a delivery path for whole area. Developed solution procedures are explained in detail with 60 points example.