互联网络RCP(n)的最短路算法

RCP(n)是最近提出的一种新型互联网络拓扑结构,是由环、Petersen图和交叉立方体所组成的,具有短直径、良好的可扩展性和正则性以及较小的构造开销的性质,是一种具有良好拓扑性质的互联网络.针对RCP(n)上节点编码的特点,采用逐步分解编码,依次寻找路径的方法给出了寻找RCP(n)上任意两点间最短路的一个多项式算法,为RCP(n)上作进一步的路由算法、最优分组等通讯性能的研究提供了理论支持,因此具有一定的理论意义和应用价值.     

互联网络RCP（n）的最短路算法

RCP（n）是最近提出的一种新型互联网络拓扑结构,是由环、Petersen图和交叉立方体所组成的,具有短直径、良好的可扩展性和正则性以及较小的构造开销的性质,是一种具有良好拓扑性质的互联网络。针对RCP（n）上节点编码的特点,采用逐步分解编码,依次寻找路径的方法给出了寻找RCP（n）上任意两点间最短路的一个多项式算法,为RCP（n）上作进一步的路由算法、最优分组等通讯性能的研究提供了理论支持,因此具有一定的理论意义和应用价值。     

超立方体的全交换路由算法研究

全交换指系统中的每个处理机同时把各自的消息发送给其它所有处理机的一种通信.这是并行计算中最常用的通信模式之一。本文提出了一种新的全交换路由算法,其通信开销较小,且容易实现.文中介绍了算法的设计思想,证明了算法的正确性,并估算出算法的执行时间.     

交叉立方体网络上的一种双向搜索路由算法

交叉立方体是近年提出的一种互联网络。虽然直径大约是超立方体直径的一半,但由于节点连接方式比超立方体复杂,所以在交叉立方体中利用节点编码研究路由算法比在超立方体中复杂的多。针对交叉立方体互联网络节点编码的特点,在理论分析的基础上采用双向搜索的方法,给出了一个基于交叉立方体节点编码的多项式路由算法,证明了在交叉立方体上采用该算法求得的任意两节点间的路长不超过该交叉立方体的直径。     

一种新的交叉立方体最短路径路由算法

Efe提出的交叉立方体(crossed cube)是超立方体(hypercube)的一种变型.交叉立方体的某些性质优于超立方体,比如其直径几乎是超立方体的一半.Efe提出了时间复杂度为O(n2)的交叉立方体最短路径路由算法.Chang等人扩展了Efe的算法,时间复杂度为O(n),它在路由的每一步有更多条边作为最短路径可供寻路选择.但这些边并没有包含全部可进行最短路径路由的边.文中给出了结点各边可进行最短路径路由的充要条件,并在此基础上提出了一种时间复杂度为O(n2)的交叉立方体最短路径路由算法,它在路由的每一步都将所有的最短路径边作为候选边.理论分析和实例表明它可输出任意一条最短路径.     

一种交叉立方体网络的并行路由算法

Efe提出的交叉立方体是超立方体的一种变型,其某些性质优于超立方体。在高性能的并行计算机系统中,信息通过若干条内结点互不交叉的路径并行传输,这些路径的长度将直接影响并行计算的性能。该文提出了一种时间复杂度为o(n2)的交叉立方体网络并行路由算法,可输出源点u到目的点v的3条并行路径P0,P1,P2,并且满足：(1)|P0|= u到v的距离;(2)|Pi|≤u到v的距离+3(i=1,2)。这说明该算法是通信高效的。     

互联网络服务质量路由算法研究综述

如何提供不同的服务质量(quality of service,简称QoS)是互联网络面临的一个重要问题,而服务质量路由(quality-of-service routing,简称QoSR)则是其中的核心技术和热点问题.QoSR的主要作用是为QoS业务请求寻找可行路径,这体现了QoSR的两个目标:(1) 满足业务QoS需求;(2) 最大限度地提高网络利用率.由于QoSR是NP完全问题,研究者们设计了很多启发式算法进行了广泛深入的研究.在有权图和QoS度量的基础上介绍了QoSR的基本概念,详细分析了面向单播应用的QoSR算法中的热点问题,并按照所求解的问题类型和求解方法,将这些算法分成以下几类:多项式非启发类、伪多项式非启发类、探测类、限定QoS度量类、路径子空间搜索类、QoS度量相关类、花费函数类和概率求解类.在分析每类中典型算法的基础上,总结和对比了各类的特点,进而详细剖析了算法的有效性,并基于此总结了基于概率模型求解QoSR问题的方法.最后指出了该领域中需要进一步研究的热点问题.     

一种实用的互联网络RPn(k)及其路由算法

基于环的简单扩展性和Petersen图的短直径,提出了一类新型互联网络RPn(k),研究了该互联网络的性质,它不但具有正则性和良好的可扩展性,还具有比RP(k)互联网络更短的网络直径、更好的可分组性以及更小的网络构造开销。最后,讨论了RPn(k)网络的路由问题,给出了点点路由算法,其通信效率为[k/2]+2n个时间步。在节点个数相同时,RPn(k)比RP(k)网络上的路由算法的通信效率有明显提高。     

一种实用的互联网络拓扑结构RPC(k)及路由算法

Pertersen图由于具有短直径和正则性等特性,在并行计算与分布式计算中具有良好的性能.基于环结构,提出了一种Pertersen图的新扩展方法,构造了互联网络RPC(k).分析了该互联网络的性质,它具有连接度小、网络直径短、拓扑结构简单以及易于扩展等特点.同时给出了RPC(k)优于二维Torus以及RP(k)互联网络的直径和节点可分组性的条件.最后,分别设计了RPC(k)上的单播路由、置换路由、广播路由和多对多路由,它们的通信效率分别为「k/2」+5,k+9,「k/2」+5和k+9.特别是随着k的增大,RPC(k)网络路由算法的通信效率近似于RP(k)网络上的时应算法通信效率的1/3倍.     

交叉立方体网络的无死锁虫洞路由算法

Efe提出的交叉立方体(crossed cube)是超立方体(hypercube)的一种变型.交叉立方体的某些性质优于超立方体,比如其直径几乎是超立方体的一半.首先证明n(n≥3)维交叉立方体网络不存在无死锁的最短路径路由算法,然后利用虚通道技术将一条物理通道分成三条逻辑通道,并在此基础上提出一种基于虫洞路由的最短路径路由算法,其时间复杂度为O(n).理论证明了算法是无死锁的.     

Parallel routing algorithms for incomplete hypercube interconnection networks

Hypercube interconnection networks have been receiving considerable attention in the supercomputing environment. However, the number of processors must be exactly 2^r for an r-cube complete hypercube. This restriction severely limits its applicability. In this paper, we address three variant hypercube topologies with more flexibility in system sizes, the labelled hypercubes I_m^r, I_M^r, and I_A^r. Incomplete hypercube I_m^r consists of an r-cube and an m-cube complete hypercubes; I_m^r is composed of 2^r and Σ_{m ε M} 2^m nodes; I_Ar comes from an r-cube complete hypercube which operates in a degraded manner and allows that the missing nodes to be arbitrarily distributed. Specifically, we focus on the parallel paths routing algorithms for these three classes of incomplete hypercubes. Parallel paths between any given two nodes mean that these paths have the same source and destination nodes but with different intermediate nodes. Parallel communication is important as it will allow us to use the full bandwidth of the multiprocessors for the data transfer operation between any two nodes, and3these redundant paths can increase system fault-tolerance and communication reliability. With these parallel routing algorithms, one can use them as a criterion to design multiprocessor systems.     

The twisted crossed cube

The topology of interconnection networks plays an important role in the performance of parallel and distributed computing systems. In this paper, we propose a new interconnection network called twisted crossed cube (TCQ_n) and investigate its basic network properties in terms of the regularity, connectivity, fault tolerance, recursiveness, hamiltonicity and ability to simulate other architectures, and so on. Then, we develop an effective routing algorithm Route (u, v) for TCQ_n that takes no more than d(u, v) + 1 steps for any two nodes (u, v) to communicate with each other, and the routing process shows that the diameter, wide diameter, and fault‐tolerant diameter of TCQ_n are about half of the corresponding diameters of the equivalent hypercube with the same dimension. In the end, by combining TCQ_n with crossed cube (CQ_n), we propose a preferable dynamic network structure, that is, the dynamic crossed cube, which has the same network diameter as TCQ_n/CQ_n and better properties in other respects, for example, its connection complexity is half of that of TCQ_n/CQ_n when the network scale is large enough, and the number of its average routing steps is also much smaller than that in TCQ_n/CQ_n. Copyright © 2015 John Wiley & Sons, Ltd.     

A practical interconnection network RP(k) and its routing algorithms

Based on Petersen graph, a new interconnection network, the RP(k) network, is devel-oped and the properties of the RP(k) network are investigated. The diameter of the RP(k) network is [ k/2] + 2 and its degree is 5. We prove that the diameter of the RP(k) network is much smaller than that of the 2-D Torus network when the number of nodes in interconnection networks is less than or equal to 300. In order to analyze the communication performance in a group of nodes, we propose the concepts of the optimal node groups and the diameter of the optimal node groups. We also show that the diameter of the optimal node groups in the RP(k) network is less than that in the 2-D Torus net-work. Especially when the number of nodes in an optimal node group is between 6 and 100, the diam-eter of the optimal node groups in the RP(k) network is half of that in the 2-D Torus network. Further-more based on the RP(k) network we design a set of routing algorithms which are point-to-point rout-ing, permutation routing, one-to-al     

Study of General Icomplete Star Interconnection Networks

The star networks,which were originally proposed by Akers and Harel,have suffered from a rigorous restriction on the number of nodes.The general incomplete star networks(GISN) are proposed in this paper to relieve this restriction.An efficient labeling scheme for GISN is given,and routing and broadcasting algorithms are also presented for GIS.The communication diameter of GISN is shown to be bounded by 4n-7.The proposed single node broadcasting algorithm is optimal with respect to time complexity O(nlog2n).     

基于Base-mn-Cube的路由算法

Ｂａｓｅ－ｎｍ－Ｃｕｂｅ是一种新型的ＭＰＰ互连网络，具有平均距离短，易实现等优点。     

降低路由开销的ZigBee路由算法研究

ZigBee技术是为无线传感器网络技术设计的一项新兴的低成本、低功耗的短距离无线通信技术。在分析ZigBee路由机制的基础上,针对控制分组的传输范围和转发方向提出降低路由开销的改进方案,并与原算法进行仿真分析。     

蜂窝网络上的路由算法*

主要研究蜂窝网络上的无死锁单播路由算法和一对全的广播路由算法。基于蜂窝网络的砖形画法,利用二维网络维序路由的基本思想和两个虚拟网络实现了无死锁的最短单播路由算法,并证明了算法的无死锁性。然后基于这个单播路由算法和线列上的广播算法,用软件实现了蜂窝网络上一对全的广播路由算法,经过简单比较得出该广播算法比以往的算法在通信效率上有了极大的提高。     

局部扭曲立方体单播容错路由算法

在n维局部扭曲立方体存在节点故障的情况下,基于路由能力的概念提出了一种单播容错路由算法,该算法首先寻找最短路径上满足路由能力值要求的邻接节点,其次寻找非最短路径上满足路由能力值要求的邻接节点。这样求得的容错路径首先是最优路径,其次为次优路径。