• Title/Summary/Keyword: one-to-one shortest path

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Diameter, Fault Diameter and Average Distance between Two Nodes in Z-cube Network (Z-cube 네트워크의 직경, 고장직경과 정점간 평균거리)

  • Gwon, Gyeong-Hui;Lee, Gye-Seong
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.1
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    • pp.75-83
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    • 1999
  • recently, a new hypercube-like interconnection network, the Z-cube, was proposed. The Z-cube retains most good topological properties, however, its node degree is 3/4 of hypercube's one. Considering hardware implementations, the Z-cube is a good alternative to the hypercube. In this paper, we obtained the diameter, fault diameter and the average distance between two nodes to evaluate the communication performance of the Z-cube. The recursive structure, the shortest path between two nodes I Z-cube and recurrence relation on the average distance were deduced, and node disjoint path was introduced. Although it is generally expected that the communication performance in an interconnection network with reduced node degree falls as much as that, this paper shows that the Z-cube's diameter is the same as the hypercube's one and the average distance between two nodes in Z-cube is about 1.125 times the average distance between two nodes in the hypercube and the fault diameter of Z-cube ranges approximately from 1.4times to 1.7times the fault diameter of the hypercube.

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Analysis of Passenger Flows in the Subway Transportation Network of the Metropolitan Seoul (서울 수도권 지하철 교통망에서 승객 흐름의 분석)

  • Park, Jong-Soo;Lee, Keum-Sook
    • Journal of KIISE:Computing Practices and Letters
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    • v.16 no.3
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    • pp.316-323
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    • 2010
  • We propose a method to find flows of transit users in the subway transportation network of the metropolitan Seoul and analyze the passenger flows on some central links of the network. The transportation network consists of vertices for subway stops, edges for links between two adjacent subway stops, and flows on the edges' Each subway transit user makes a passenger flow along edges of the shortest path from the origin stop to the destination stop in his trip. In this paper, we have developed a new algorithm to find the passenger flow of each link in the subway network from a large trip-transaction database of subway transit users. We have applied the algorithm to find the passenger flows from one day database of about 5 million transactions by the subway transit users. As results of the experiments, the travel behavior on 4 central subway links is analyzed in passenger flows and top 10 flows among all subway links are explained in a table.

Multi-Dimensional Traveling Salesman Problem Scheme Using Top-n Skyline Query (Top-n 스카이라인 질의를 이용한 다차원 외판원 순회문제 기법)

  • Jin, ChangGyun;Oh, Dukshin;Kim, Jongwan
    • KIPS Transactions on Software and Data Engineering
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    • v.9 no.1
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    • pp.17-24
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    • 2020
  • The traveling salesman problem is an algorithmic problem tasked with finding the shortest route that a salesman visits, visiting each city and returning to the started city. Due to the exponential time complexity of TSP, it's hard to implement on cases like amusement park or delivery. Also, TSP is hard to meet user's demand that is associated with multi-dimensional attributes like travel time, interests, waiting time because it uses only one attribute - distance between nodes. This paper proposed Top-n Skyline-Multi Dimension TSP to resolve formerly adverted problems. The proposed algorithm finds the shortest route faster than the existing method by decreasing the number of operations, selecting multi-dimensional nodes according to the dominance of skyline. In the simulation, we compared computation time of dynamic programming algorithm to the proposed a TS-MDT algorithm, and it showed that TS-MDT was faster than dynamic programming algorithm.

Evaluation of Information Dissemination Methods in a Communication Network (통신망에서의 정보전파 방법의 평가에 관한 연구)

  • 고재문
    • The Journal of Information Systems
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    • v.8 no.1
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    • pp.109-129
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    • 1999
  • This study deals with the problem of information dissemination in a communication network, which is defined to be the process whereby a set of messages, generated by an originator, is transmitted to all the members within the network. Since this type of message generally includes control data to manage the network or global information that all members should know, it is to be required to transmit it to all the members as soon as possible. In this study, it is assumed that a member can either transmit or receive a message and an informed member can transmit it to only one of its neighbors at time. This type of transmission is called 'local broadcasting' Several schemes of call sequencing are designed for a general-type network with nonuniform edge transmission times, and then computer simulations are performed. Some heuristics for information dissemination are proposed and tested. For this, optimal call sequence in a tree-type network, sequencing theory and graph theory are applied. The result shows that call sequencing based on the shortest path tree is the most desirable.

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A Comparison of Algorithms for Computing Some-to-some Shortest Path on Street Networks (도로 네트워크에서의 Some-to-some 최단경로 생성 알고리듬 성능비교)

  • Kim Byeong-In;Jeong Sang-Won
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1164-1169
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    • 2006
  • 본 논문은 차량운행경로문제(Vehicle Routing Problem)의 기본적인 정보가 되는 Origin-Destination (OD) Matrix 의 생성에 관한 문제를 다룬다. OD Matrix 를 만들기 위해서는 몇 개의 지점으로부터 몇 개의 지점(some-to-some)까지의 최단 거리를 계산해야 한다. 이를 위해 Dijkstra 알고리듬과 같은 one-to-all 알고리듬을 반복하여 사용할 수 있고 Floyd-Washall 알고리듬과 같은 all-to-all 알고리듬을 사용할 수 있으며 some-to-some 을 위해 고안된 알고리듬을 사용할 수 있다. 본 연구에서는 이러한 알고리듬들이 실제 도로 네트워크의 OD Matrix 를 생성할 때 어떤 성능을 보이는지 비교 분석한다.

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An Optimal Routing for Point to Multipoint Connection Traffics in ATM Networks (일대다 연결 고려한 ATM 망에서의 최적 루팅)

  • Chung, Sung-Jin;Hong, Sung-Pil;Chung, Hoo-Sang;Kim, Ji-Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.4
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    • pp.500-509
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    • 1999
  • In this paper, we consider an optimal routing problem when point-to-point and point-to-multipoint connection traffics are offered in an ATM network. We propose a mathematical model for cost-minimizing configuration of a logical network for a given ATM-based BISDN. Our model is essentially identical to the previous one proposed by Kim(Kim, 1996) which finds a virtual-path configuration where the relevant gains obtainable from the ATM technology such as the statistical multiplexing gain and the switching/control cost-saving gain are optimally traded-off. Unlike the Kim's model, however, ours explicitly considers the VP's QoS(Quality of Service) for more efficient utilization of bandwidth. The problem is a large-scale, nonlinear, and mixed-integer problem. The proposed algorithm is based on the local linearization of equivalent-capacity functions and the relaxation of link capacity constraints. As a result, the problem can be decomposed into moderate-sized shortest path problems, Steiner arborescence problems, and LPs. This fact renders our algorithm a lot faster than the previous nonlinear programming algorithm while the solution quality is maintained, hence application to large-scale network problems.

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Using the GA in the Public-Transportation Route-selection Process

  • JUN, Chul-min
    • Korean Journal of Geomatics
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    • v.3 no.2
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    • pp.123-128
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    • 2004
  • As the applied fields of GIS are expanded to the transportation, developing internet-based applications for transportation information is getting attention increasingly. Most applications developed so far are primarily focused on guidance systems for owner-driven cars. Although some recent ones are devoted to public transportation systems, they show limitations in dealing with the following aspects: (i) people may change transportation means not only within the same type but also among different modes such as between buses and subways, and (ii) the system should take into account the time taken in transfer from one mode to the other. This study suggest the framework for developing a public transportation guidance system that generates optimized paths in the transportation network of mixed means including buses, subways and other modes. For this study, the Genetic Algorithms are used to find the best routes that take into account transfer time and other service-time constraints.

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Hybrid Genetic Algorithm or Obstacle Location-Allocation Problem

  • Jynichi Taniguchi;Mitsuo Gen;Wang, Xiao-Dong;Takao Yokota
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.191-194
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    • 2003
  • Location-allocation problem is known as one of the important problem faced in Industrial Engineering and Operations Research fielde. There are many variations on this problem for different applications, however, most of them consider no obstacle existing. Since the location-allocation problem with obstacles is very complex and with many infeasible solutions, no direct method is effective to solve it. In this paper we propose a hybrid Genetic Algorithm (hGA) method for solving this problem. The proposed hGA is based on Lagrangian relaxation method and Dijkstra's shortest path algorithm. To enhance the proposed hGA, a Fuzzy Logic Controller (FLC) approach is also adopted to auto-tune the GA parameters.

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Facility Location Problem for Blood Logistics Center (혈액 물류센터 위치 선정 문제)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.2
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    • pp.135-143
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    • 2012
  • This paper suggests the optimal blood distribution center algorithm that satisfies the minimum total transportation cost and within the allowable distribution time $T^*$. Zhang and Yang proposes shifting the location of each point that has less than the average distance of two maximum distance points from each point. But they cannot decide the correct facility location because they miscompute the shortest distance. This algorithm computes the shortest distance $l_{ij}$ from one area to another areas. Then we select the $v_i$ area to thecandidate distribution center location such that $_{max}l_{ij}{\leq}L^*$ and the $v_i$ such that $l_{ij}-L^*$ area that locates in ($v_i,v_k$) and ($v_j,v_l$) from $P_{ij}=v_i,v_k,{\cdots},v_l,v_j$ path and satisfies the $_{max}l_{ij}{\leq}L^*$ condition. Finally, we decide the candidate distribution area that has minimum transportation cost to optimal distribution area.

Dynamic Programming Approach for Prize Colleting Travelling Salesman Problem with Time Windows (시간제약이 있는 상금 획득 외판원 문제에 대한 동적 계획 접근 방법)

  • Tae, Hyun-Chul;Kim, Byung-In
    • IE interfaces
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    • v.24 no.2
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    • pp.112-118
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    • 2011
  • This paper introduces one type of prize collecting travelling salesman problem with time windows (PCTSPTW), proposes a mixed integer programming model for the problem, and shows that the problem can be reduced to the elementary shortest path problem with time windows and capacity constraints (ESPPTC). Then, a new dynamic programming algorithm is proposed to solve ESPPTC quickly. Computational results show the effectiveness of the proposed algorithm.