• Title/Summary/Keyword: Link-Based Vine Shortest Path Algorithm

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Generating Multiple Paths by Using Multi-label Vine-building Shortest Path Algorithm (수정형 덩굴망 최단경로 탐색 알고리즘을 이용한 다경로 생성 알고리즘의 개발)

  • Kim, Ik-Ki
    • Journal of Korean Society of Transportation
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    • v.22 no.2 s.73
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    • pp.121-130
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    • 2004
  • In these days, multiple-path generation method is highly demanded in practice and research areas, which can represents realistically travelers behavior in choosing possible alternative paths. The multiple-path generation algorithm is one of the key components for policy analysis related to ATIS, DRGS and ATMS in ITS. This study suggested a method to generate multiple Possible paths from an origin to a destination. The approach of the suggested method is different from an other existing methods(K-shortest path algorithm) such as link elimination approach, link penalty approach and simulation approach. The result of the multi-label vine-building shortest path algorithm(MVA) by Kim (1998) and Kim(2001) was used to generate multiple reasonable possible paths with the concept of the rational upper boundary. Because the MVA algorithm records the cost, back-node and back-back node of the minimum path from the origin to the concerned node(intersection) for each direction to the node, many potential possible paths can be generated by tracing back. Among such large number of the potential possible paths, the algorithm distinguishes reasonable alternative paths from the unrealistic potential possible paths by using the concept of the rational upper boundary. The study also shows the very simple network examples to help the concept of the suggested path generation algorithm.

K-th Path Search Algorithms with the Link Label Correcting (링크표지갱신 다수경로탐색 알고리즘)

  • Lee, Mee-Young;Baik, Nam-Cheol;Choi, Dae-Soon;Shin, Seong-Il
    • Journal of Korean Society of Transportation
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    • v.22 no.2 s.73
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    • pp.131-143
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    • 2004
  • Given a path represented by a sequence of link numbers in a graph, the vine is differentiated from the loop in a sense that any link number can be visited in the path no more than once, while more than once in the loop. The vine provides a proper idea on complicated travel patterns such as U-turn and P-turn witnessed near intersections in urban transportation networks. Application of the link label method(LLM) to the shortest Path algorithms(SPA) enables to take into account these vine travel features. This study aims at expanding the LLM to a K-th path search algorithm (KPSA), which adopts the node-based-label correcting method to find a group of K number of paths. The paths including the vine type of travels are conceptualized as drivers reasonable route choice behaviors(RRCB) based on non-repetition of the same link in the paths, and the link-label-based MPSA is proposed on the basis of the RRCB. The small-scaled network test shows that the algorithm sequence works correctly producing multiple paths satisfying the RRCB. The large-scaled network study detects the solution degeneration (SD) problem in case the number of paths (K) is not sufficient enough, and the (K-1) dimension algorithm is developed to prevent the SD from the 1st path of each link, so that it may be applied as reasonable alternative route information tool, an important requirement of which is if it can generate small number of distinct alternative paths.

Virtual Network Mapping Algorithm for Minimizing Piecewise Linear Cost Function (Piecewise Linear 비용함수의 최소화를 위한 가상 네트워크 매핑 알고리즘)

  • Pyoung, Chan-kyu;Baek, Seung-jun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.6
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    • pp.672-677
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    • 2016
  • Development of Internet has been successfully inspired with extensive deployment of the network technology and application. However, increases in Internet usage had caused a lot of traffic overload in these days. Thus, we need a continuous research and development on the network virtualization for effective resource allocation. In this paper, we propose a minimal cost virtual network mapping algorithm using Piecewise Linear Cost Function. We exploited an algorithm with Linear Programming and D-VINE for node mapping, and Shortest Path Algorithm based on linear programming solution is used for link mapping. In this way, we compared and analyzed the average cost for arrival rate of VN request with linear and tree structure. Simulation results show that the average cost of our algorithm shows better efficiency than ViNEyard.

A Variational Inequality Model of Traffic Assignment By Considering Directional Delays Without Network Expansion (네트웍의 확장없이 방향별 지체를 고려하는 통행배정모형의 개발)

  • SHIN, Seongil;CHOI, Keechoo;KIM, Jeong Hyun
    • Journal of Korean Society of Transportation
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    • v.20 no.1
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    • pp.77-90
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    • 2002
  • Network expansion has been an inevitable method for most traffic equilibrium assignments to consider intersection movements such as intersection delays. The drawback of network expansion is that because it dramatically increases network sizes to emulate possible directional movements as corresponding links, not only is complexities for building network amplified, but computational performance is shrunk. This paper Proposes a new variational inequality formulation for a user-optimal traffic equilibrium assignment model to explicitly consider directional delays without building expanded network structures. In the formulation, directional delay functions are directly embedded into the objective function, thus any modification of networks is not required. By applying a vine-based shortest Path algorithm into the diagonalization algorithm to solve the problem, it is additionally demonstrated that various loop-related movements such as U-Turn, P-Turn, etc., which are frequently witnessed near urban intersections, can also be imitated by blocking some turning movements of intersections. The proposed formulation expects to augment computational performance through reduction of network-building complexities.