• Title/Summary/Keyword: Mesh Topology

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Cycle Extendability of Torus Sub-Graphs in the Enhanced Pyramid Network (개선된 피라미드 네트워크에서 토러스 부그래프의 사이클 확장성)

  • Chang, Jung-Hwan
    • Journal of Korea Multimedia Society
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    • v.13 no.8
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    • pp.1183-1193
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    • 2010
  • The pyramid graph is well known in parallel processing as a interconnection network topology based on regular square mesh and tree architectures. The enhanced pyramid graph is an alternative architecture by exchanging mesh into the corresponding torus on the base for upgrading performance than the pyramid. In this paper, we adopt a strategy of classification into two disjoint groups of edges in regular square torus as a basic sub-graph constituting of each layer in the enhanced pyramid graph. Edge set in the torus graph is considered as two disjoint sub-sets called NPC(represents candidate edge for neighbor-parent) and SPC(represents candidate edge for shared-parent) whether the parents vertices adjacent to two end vertices of the corresponding edge have a relation of neighbor or sharing in the upper layer of the enhanced pyramid graph. In addition, we also introduce a notion of shrink graph to focus only on the NPC-edges by hiding SPC-edges within the shrunk super-vertex on the resulting shrink graph. In this paper, we analyze that the lower and upper bounds on the number of NPC-edges in a Hamiltonian cycle constructed on $2^n{\times}2^n$ torus is $2^{2n-2}$ and $3{\cdot}2^{2n-2}$ respectively. By expanding this result into the enhanced pyramid graph, we also prove that the maximum number of NPC-edges containable in a Hamiltonian cycle is $4^{n-1}$-2n+1 in the n-dimensional enhanced pyramid.

Progressive Fracture Analyses of Concrete by Finite Element Methods (유한요소법에 의한 콘크리트의 진행성 파괴해석)

  • 송하원
    • Magazine of the Korea Concrete Institute
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    • v.8 no.1
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    • pp.145-153
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    • 1996
  • The fracture process zone in concrete is a region ahead of a traction-free crack, in which two major mechanisms, microcracking and bridging, play important roles. The toughness due to bridging is dominant compared to toughness induced by microcracking, so that the bridging is dominani: mechanism governing the fracture process of concrete. Fracture mechanics does work for concrete provided that the fracture process zone is being considered, so that the development of model for the fracture process zone is most important to describe fracture phenomena in concrete. In this paper the bridging zone, which is a part of extended rnacrocrack with stresses transmitted by aggregates in concrete, is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve. Two finite element techniques are shown for the analysis of progressive cracking in concrete based on the discrete crack approach: one with crack element, the other without crack element. The advantage of the technique with crack element is that it dees not need to update the mesh topology to follow the progressive cracking. Numerical results by the techniques are demonstrated.

A Latency Optimization Mapping Algorithm for Hybrid Optical Network-on-Chip (하이브리드 광학 네트워크-온-칩에서 지연 시간 최적화를 위한 매핑 알고리즘)

  • Lee, Jae Hun;Li, Chang Lin;Han, Tae Hee
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.131-139
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    • 2013
  • To overcome the limitations in performance and power consumption of traditional electrical interconnection based network-on-chips (NoCs), a hybrid optical network-on-chip (HONoC) architecture using optical interconnects is emerging. However, the HONoC architecture should use circuit-switching scheme owing to the overhead by optical devices, which worsens the latency unfairness problem caused by frequent path collisions. This resultingly exert a bad influence in overall performance of the system. In this paper, we propose a new task mapping algorithm for optimizing latency by reducing path collisions. The proposed algorithm allocates a task to a certain processing element (PE) for the purpose of minimizing path collisions and worst case latencies. Compared to the random mapping technique and the bandwidth-constrained mapping technique, simulation results show the reduction in latency by 43% and 61% in average for each $4{\times}4$ and $8{\times}8$ mesh topology, respectively.

A Study on the One Side Freezing /Thaw and Carbonation of Autoclaved Lightweight Concrete (경량기포콘크리트의 편면동결융해 및 탄산화에 관한 연구)

  • 노재성;황의환;홍성수;이범재
    • Magazine of the Korea Concrete Institute
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    • v.7 no.4
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    • pp.149-156
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    • 1995
  • The fracture process zone in concrete is a region ahead of a traction-free crack, in which two major mechanisms, microcracking and bridging, play important roles. The toughness due to bridging is dominant compared to toughness induced by microcracking, so that the bridging is dominani: mechanism governing the fracture process of concrete. Fracture mechanics does work for concrete provided that the fracture process zone is being considered, so that the development of model for the fracture process zone is most important to describe fracture phenomena in concrete. In this paper the bridging zone, which is a part of extended rnacrocrack with stresses transmitted by aggregates in concrete, is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve. Two finite element techniques are shown for the analysis of progressive cracking in concrete based on the discrete crack approach: one with crack element, the other without crack element. The advantage of the technique with crack element is that it dees not need to update the mesh topology to follow the progressive cracking. Numerical results by the techniques are demonstrated.

An implementation of hypercube with routing algorithm in bisectional interconnection network (Bisectional 상호연결 네트워크에서 하이퍼큐브의 구현과 경로배정 알고리즘)

  • 최창훈;정영호;김성천
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.5
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    • pp.1180-1192
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    • 1996
  • On demand of many users, basic networks of a parallel computer system are required to have a property that can embed various topologies. Bisectional interconnection network is known to satisfy this property, and it can embed various topologies optimally. Nowadays one is very interested in the hypercube as a message pssing multicomputer system, so it is very important to implement a hypercube in bisectional network. In this paper, a hypercube is implemented in a versatile bisecional netork, and its routing and broadcasting algorithm are proposed. Conventional bisectional network can accomodata linear array, complete binary tree and mesh structure as its topology. Now hypercube is implemented to be utilized as a general purpose supercomputercommunication architecture. The proposed routing and broadcasting algorithm embedded in bisectional network are general purpose algorithms which satisfy property of conventional hypercube.

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A Study on Investigation for Effectiveness of Natural Minerals with Silica-Component as Admixture for Concrete

  • 김화중
    • Magazine of the Korea Concrete Institute
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    • v.6 no.3
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    • pp.201-214
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    • 1994
  • The fracture process zone in concrete is a region ahead of a traction-free crack, in which two major mechanisms, microcracking and bridging, play important roles. The toughness due to bridging is dominant compared to toughness induced by microcracking, so that the bridging is dominani: mechanism governing the fracture process of concrete. Fracture mechanics does work for concrete provided that the fracture process zone is being considered, so that the development of model for the fracture process zone is most important to describe fracture phenomena in concrete. In this paper the bridging zone, which is a part of extended rnacrocrack with stresses transmitted by aggregates in concrete, is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve. Two finite element techniques are shown for the analysis of progressive cracking in concrete based on the discrete crack approach: one with crack element, the other without crack element. The advantage of the technique with crack element is that it dees not need to update the mesh topology to follow the progressive cracking. Numerical results by the techniques are demonstrated.

WDM Optical Network Restoration and Spare Resource Planning using Multiple Ring-Cover (다중 링 구조를 이용한 WDM 통신망 복구 및 자원 예약 기법)

  • Hwang, Ho-Young;Lim, Sung-Soo
    • The KIPS Transactions:PartC
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    • v.12C no.6 s.102
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    • pp.891-900
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    • 2005
  • This paper studies network recovery methods for WDM optical mesh networks, concentrating on improving spare resource utilization. The resource efficiency can be obtained by sharing spare resources needed for network recovery. To improve the sharability of spare resources in WDM networks, methods to share backup paths us well as spare capacity should be studied. The proposed method in this paper uses multiple ring-covers and this method provides fast and simple recovery operation by exploiting the characteristics of logical ring topology, and also provides efficient resource utilization by using multiple distributed backup paths to improve the sharability of overall spare resources in the networks. This method can provide layered reliability to network service by enabling hierarchical robustness against multiple failures. The performance results show that the proposed method provide improved resource efficiency for single failure and enhanced robustness for multiple failures.

Torus Ring : Improving Performance of Interconnection Networks by Modifying Hierarchical Ring (Torus Ring : 계층 링 구조의 변형을 통한 상호 연결망의 성능 개선)

  • Kwak, Jong-Wook;Ban, Hyong-Jin;Jhon, Chu-Shik
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.5
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    • pp.196-208
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    • 2005
  • In multiprocessor systems, interconnection network design is critical for overall system performance. Popular interconnection networks, which are generally considered, are meshes, rings, and hierarchical rings. In this paper, we propose (')Torus Ring('), which is a modified version of hierarchical ring. Torus Ring has the same complexity as the hierarchical rings, but the only difference is the way it connects the local rings. It has an advantage over the hierarchical rings when the destination of a packet is the neighbor local ring in the reverse direction. Though the average number of hops in Torus Ring is equal to that of the hierarchical rings when assuming the uniform distribution of each transaction, the benefits of the number of hops are expected to be larger because of the spatial locality in the real environment of parallel programming. In the simulation results, latencies in the interconnection network are reduced by up to 19$\%$, and the execution times are reduced by up to 10$\%$.

A study on Robust Topology for the Resilient Ontology-based Dynamic Multicast Routing Protocol (노드의 복원력이 있는 온톨로지 기반의 동적 멀티캐스트 라우팅 연구)

  • Kim, Sun-Guk;Doo, Kyung-Min;Chi, Sam-Hyun;Lee, Kang-Whan
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.06a
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    • pp.188-194
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    • 2007
  • We propose a new ad hoc multicast routing protocol for based on the ontology scheme called inference network. Ontology knowledge-based is one of the structure of context-aware. We will have developed an algorithm that will design multi-hierarchy Layered networks to simulate a desired system.

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Design and Evaluation of a Distributed Mutual Exclusion Algorithmfor Hypercube Multicomputers (하이퍼큐브 멀티컴퓨터를 위한 분산 상호배제 알고리즘의 설계 및 평가)

  • Ha, Sook-Jeong;Bae, Ihn-Han
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.9
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    • pp.2221-2234
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    • 1997
  • Distributed mutual exclusion algorithms have employed two approaches to achieve mutual exclusion and can be divided into two broad classes:token-based and permission-based. Token-based algorithms share a unique token among the nodes and a node is allowed to access its common resources if it possesses the token. Permission-based algorithms require one or more successive rounds of message exchanges among the nodes to obtain the permission to access the common resources. A hypercube architecture has earned wide acceptance in multiprocessor systems in the past few years because of its simple, yet rich topology. Accordingly, we study distributed permission-based mutual exclusion algorithms for hypercubes, and design a distributed permission-based mutual exclusion algorithm based on a new information structure adapted to the hypercubes. The new information structure is a request set of T-pattern from a logical mesh that is embedded into a hypercube. If a node wants to access the common resources, it sends request message to all nodes in the request set by Lan's multicast algorithm. Once the node receives a grant message from all nodes in the request set, it accesses the common resource. We evaluate our algorithm with respect to minimum round-trip delay, blocking delay, and the number of messages per access to the common resource.

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