• Title/Summary/Keyword: Parallel routing algorithm

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Study on High Speed Routers(I)-Labeling Algorithms for STC104 (고속라우터에 대한 고찰(I)-STC104의 레이블링 알고리즘)

  • Lee, Hyo-Jong
    • The KIPS Transactions:PartA
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    • v.8A no.2
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    • pp.147-156
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    • 2001
  • A high performance routing switch is an essential device to either the high performance parallel processing or communication networks that handle multimedia transfer systems such as VOD. The high performance routing chip called STC104 is a typical example in the technical aspect which has 32 bidirectional links of 100Mbps transfer sped. It has exploited new technologies, such as wormhole routing, interval labeling, and adaptive routing method. The high speed router has been applied into some parallel processing system as a single chip. However, its performance over the various interconnection networks with multiple routing chips has not been studied. In this paper, the strucrtures and characteristics of the STC104 have been investigated in order to evaluate the high speed router. Various topology of the STC104, such as meshes, torus, and N-cube are defined and constructed. Algorithms of packet transmission have been proposed based on the interval labeling and the group adaptive routing method implemented in the interconnected network. Multicast algorithms, which are often requited to the processor networks and broadcasting systems, modified from U-mesh and U-torus algorithms have also been proposed overcoming the problems of point-to-point communication.

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A Parallel Algorithm For Rectilinear Steiner Tree Using Associative Processor (연합 처리기를 이용한 직교선형 스타이너 트리의 병렬 알고리즘)

  • Taegeun Park
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.8
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    • pp.1057-1063
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    • 1995
  • This paper describes an approach for constucting a Rectilinear Steiner Tree (RST) derivable from a Minimum Spanning Tree (MST), using Associative Processor (AP). We propose a fast parallel algorithm using AP's basic algorithms which can be realized by the processing capability of rudimentary logic and the selective matching capability of Content- Addressable Memory (CAM). The main idea behind the proposed algorithm is to maximize the overlaps between the consecutive edges in MST, thus minimizing the cost of a RST. An efficient parallel linear algorithm with O(n) complexity to construct a RST is proposed using an algorithm to find a MST, where n is the number of nodes. A node insertion method is introduced to allow the Z-type layout. The routing process which only depends on the neighbor edges and the no-rerouting strategy both help to speed up finding a RST.

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A Solution of the Bicriteria Vehicle Routing Problems with Time Window Constraints (서비스시간대 제약이 존재하는 2기준 차량경로문제 해법에 관한 연구)

  • Hong, Sung-Chul;Park, Yang-Byung
    • IE interfaces
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    • v.11 no.1
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    • pp.183-190
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    • 1998
  • This paper is concerned with the bicriteria vehicle routing problems with time window constraints(BVRPTW). The BVRPTW is to determine the most favorable vehicle routes that minimize the total vehicle travel time and the total customer wait time which are, more often than not, conflicting. We construct a linear goal programming (GP) model for the BVRPTW and propose a heuristic algorithm to relieve a computational burden inherent to the application of the GP model. The heuristic algorithm consists of a parallel insertion method for clustering and a sequential linear goal programming procedure for routing. The results of computational experiments showed that the proposed algorithm finds successfully more favorable solutions than the Potvin an Rousseau's method that is known as a very good heuristic for the VRPs with time window constraints, through the change of target values and the decision maker's goal priority structure.

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Energy-efficient Routing in MIMO-based Mobile Ad hoc Networks with Multiplexing and Diversity Gains

  • Shen, Hu;Lv, Shaohe;Wang, Xiaodong;Zhou, Xingming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.2
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    • pp.700-713
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    • 2015
  • It is critical to design energy-efficient routing protocols for battery-limited mobile ad hoc networks, especially in which the energy-consuming MIMO techniques are employed. However, there are several challenges in such a design: first, it is difficult to characterize the energy consumption of a MIMO-based link; second, without a careful design, the broadcasted RREP packets, which are used in most energy-efficient routing protocols, could flood over the networks, and the destination node cannot decide when to reply the communication request; third, due to node mobility and persistent channel degradation, the selected route paths would break down frequently and hence the protocol overhead is increased further. To address these issues, in this paper, a novel Greedy Energy-Efficient Routing (GEER) protocol is proposed: (a) a generalized energy consumption model for the MIMO-based link, considering the trade-off between multiplexing and diversity gains, is derived to minimize link energy consumption and obtain the optimal transmit model; (b) a simple greedy route discovery algorithm and a novel adaptive reply strategy are adopted to speed up path setup with a reduced establishment overhead; (c) a lightweight route maintenance mechanism is introduced to adaptively rebuild the broken links. Extensive simulation results show that, in comparison with the conventional solutions, the proposed GEER protocol can significantly reduce the energy consumption by up to 68.74%.

Application of the Special Matrices to the Parallel Routing Algorithm on MR NS Network (MRNS 네트워크에서 특수한 메트릭스를 응용한 병렬 경로배정 알고리즘)

  • Choe, Wan-Gyu;Jeong, Il-Yong
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.1
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    • pp.55-62
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    • 1996
  • MRNS network is a general algebraic structure of Hypercube network which has recently drawn considerable attention to supercomputing and message-passing communication. In this paper, we investigate the routing of a message in an n- dimensional MRNS network that is a key to the performance of this network. On the n-dimensional MRNS network we would like to transmit packets from a source node to a destination node simultaneously along a fixed number of paths, where the superscript packet will traverse along the superscript path. In order for all packets to arrive at the destination node quickly and securely, the ith path must be node-disjoint from all other paths. By investigating the conditions of node-disjoint paths, we will employ the special matrices called as the Hamiltonian Circuit Latin Square(HCLS) described in 〔1〕to construct a set of node-disjoint paths and suggest a linear-time parallel routing algorithm for the MRNS network.

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Design of a set of One-to-Many Node-Disjoint and Nearly Shortest Paths on Recursive Circulant Networks

  • Chung, Ilyong
    • Journal of Korea Multimedia Society
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    • v.16 no.7
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    • pp.897-904
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    • 2013
  • The recursive circulant network G(N,d) can be widely used in the design and implementation of parallel processing architectures. It consists of N identical nodes, each node is connected through bidirectional, point-to-point communication channels to different neighbors by jumping $d^i$, where $0{\leq}i{\leq}{\lceil}{\log}_dN{\rceil}$ - 1. In this paper, we investigate the routing of a message on $G(2^m,4)$, a special kind of RCN, that is key to the performance of this network. On $G(2^m,4)$ we would like to transmit k packets from a source node to k destination nodes simultaneously along paths on this network, the $i^{th}$ packet will be transmitted along the $i^{th}$ path, where $1{\leq}k{\leq}m-1$, $0{{\leq}}i{{\leq}}m-1$. In order for all packets to arrive at a destination node quickly and securely, we present an $O(m^4)$ routing algorithm on $G(2^m,4)$ 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.

The Design of Parallel Routing Algorithm on a Recursive Circulant Network (재귀원형군에서 병렬 경로 알고리즘의 설계)

  • Bae, Yong-Keun;Park, Byung-Kwon;Chung, Il-Yong
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.11
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    • pp.2701-2710
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    • 1997
  • Recursive circulant graph has recently developed as a new model of multiprocessors, and drawn considerable attention to supercomputing, In this paper, we investigate the routing of a message i recursive circulant, that is a key to the performance of this network. On recursive circulant network, we would like to transmit m packets from a source node to a destination node simultaneously along paths, where the ith packet will traverse along the ith path $(o{\leq}i{\leq}m-1)$. In oder for all packets to arrive at the destination node quickly and securely, the ith path must be node-disjoint from all other paths. For construction of these paths, employing the Hamiltonian Circuit Latin Square(HCLS), a special class of $(n{\times}n)$ matrices, we present $O(n^2)$ parallel routing algorithm on recursive circulant network.

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Distributed Mean Field Genetic Algorithm for Channel Routing (채널배선 문제에 대한 분산 평균장 유전자 알고리즘)

  • Hong, Chul-Eui
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.2
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    • pp.287-295
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    • 2010
  • In this paper, we introduce a novel approach to optimization algorithm which is a distributed Mean field Genetic algorithm (MGA) implemented in MPI(Message Passing Interface) environments. Distributed MGA is a hybrid algorithm of Mean Field Annealing(MFA) and Simulated annealing-like Genetic Algorithm(SGA). The proposed distributed MGA combines the benefit of rapid convergence property of MFA and the effective genetic operations of SGA. The proposed distributed MGA is applied to the channel routing problem, which is an important issue in the automatic layout design of VLSI circuits. Our experimental results show that the composition of heuristic methods improves the performance over GA alone in terms of mean execution time. It is also proved that the proposed distributed algorithm maintains the convergence properties of sequential algorithm while it achieves almost linear speedup as the problem size increases.

AN ANALYSIS OF PARALLEL ROUTING ALGORITHM OF HYPERCUBE NETWORK BY EMPLOYING COVERING PROBLEM AND ASSIGNMENT PROBLEM

  • Chung, Il-Yong
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.535-543
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    • 1997
  • The application of Hadamard matrix to the paral-lel routings on the hypercube network was presented by Rabin. In this matrix every two rows differ from each other by exactly n/2 positions. A set of n disjoint paths on n-dimensional hypercube net-work was designed using this peculiar property of Hadamard ma-trix. Then the data is dispersed into n packets and these n packet are transmitted along these n disjoint paths. In this paper Rabin's routing algorithm is analyzed in terms of covering problem and as-signment problem. Finally we conclude that n packets dispersed are placed in well-distributed positions during transmisson and the ran-domly selected paths are almost a set of n edge-disjoint paths with high probability.

Petersen-Torus(PT) Network for Multicomputing System (멀티컴퓨팅 시스템을 위한 피터슨-토러스(PT) 네트워크)

  • Seo, Jung-Hyun;Lee, Hyeong-Ok;Jang, Moon-Suk
    • Journal of KIISE:Computer Systems and Theory
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    • v.35 no.6
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    • pp.263-272
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    • 2008
  • We propose and analyze a new interconnection network, called petersen-torus(PT) network based on well-known petersen graph. PT network has a smaller diameter and a smaller network cost than honeycomb torus with same number of nodes. In this paper, we propose optimal routing algorithm and hamiltonian cycle algorithm. We derive diameter, network cost and bisection width.