• Title/Summary/Keyword: k-ary n-cube

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An Adaptive Wormhole Routhing using Virtual Channels in K-ary n-cubes (K-ary n-cubes에서 가상채널을 사용한 적응적 웜홀 라우팅)

  • Lee, Sung-Mok;Kim, Chagn-Soo
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.11
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    • pp.2732-2744
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    • 1997
  • This paper is based on multicasting model in k-ary n-cubes, and Proposes an adaptive wormhole routing algorithm which allows faults and channel contention. The proposed algorithm only requires $2{\times}n$ virtual channels per physical channel which is proportional to the dimension n in order to allow (n-1) faults in a k-ary n-cube. This method uses smaller number of virtual channels than the previously Proposed adaptive routing algorithms [5, 18]. Through a chaos simulator, we have measured message delay considering fault-tolerant as well as message traffic to our adaptive routing algorithm.

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A Nearly Optimal One-to-Many Routing Algorithm on k-ary n-cube Networks

  • Choi, Dongmin;Chung, Ilyong
    • Smart Media Journal
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    • v.7 no.2
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    • pp.9-14
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    • 2018
  • The k-ary n-cube $Q^k_n$ is widely used in the design and implementation of parallel and distributed processing architectures. It consists of $k^n$ identical nodes, each node having degree 2n is connected through bidirectional, point-to-point communication channels to different neighbors. On $Q^k_n$ we would like to transmit packets from a source node to 2n destination nodes simultaneously along paths on this network, the $i^{th}$ packet will be transmitted along the $i^{th}$ path, where $0{\leq}i{\leq}2n-1$. In order for all packets to arrive at a destination node quickly and securely, we present an $O(n^3)$ routing algorithm on $Q^k_n$ 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.

A Topology Independent Heuristic Load Balancing Algorithm for Multiprocessor Environment (다중 프로세서 환경에서 연결구조에 무관한 휴리스틱 부하평형 알고리즘)

  • Song Eui-Seok;Sung Yeong-Rak;Oh Ha-Ryoung
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.42 no.1
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    • pp.35-44
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    • 2005
  • This paper proposes an efficient heuristic load balancing algorithm for multiprocessor systems. The algorithm minimizes the number of idle links to distribute load traffic and reduces its communication cost. Each processor iteratively tries to transfer unit load to/from all neighbor processors. However, real load transfer is collectively done after all load traffic is calculated. This prevents useless traffic and thus reduces the overall load traffic. The proposed algorithm can be employed in various interconnection topologies with slight modifications. In this paper, it is applied to hypercube, mesh, k-ary n-cube and general graph environments. For performance evaluation, simulation studies are performed. The proposed algorithm and the well-known existing algorithms are implemented and compared. The results show that the proposed algorithm always balances the loads perfectly. furthermore, in comparison with the existing algorithms, it reduces the communication costs by 77%, 74% and 73% in the hypercube, the mesh, and k-ary n-cube, respectively.

Establishing detours for Fault-Tolerance Real-Time Communication in K-ary n-cube Networks (k-ary n-cube네트웍에서 결함허용실시간통신을 위한 우회경로 설정)

  • 이경희
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10a
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    • pp.627-629
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    • 1998
  • 실시간 어플리케이션이 확장되고 복잡해질수록 시스템이나 네트웍에 존재하는 결함에 대응해야 할 필요성은 더 높아진다. 이런 작업의 활용도가 높지는 않더라도 하나의 결함이 시스템 전체에 영향을 미칠 가능성은 항상 있기 때문에 신뢰도 제공면에서 요구되는 작업이다. 전통적인 결함허용 방법은 여분의 하드웨어나 소프트웨어를 중복 사용함으로써 결함에 대처하고자 하였다. 본 논문에서는 네트워크에 대하여 네트웍을 구성하는 요소를 중복하는 것이 아니라 네트웍의 결함발생시 통신경로를 우회함으로써 결함을 허용하는 방법을 제안한다.

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