Download Free On The Performance Of K Ary N Cube Interconnection Networks Book in PDF and EPUB Free Download. You can read online On The Performance Of K Ary N Cube Interconnection Networks and write the review.

VLSI communication networks are wire limited. The cost of network is not a function of the number of switches require, but rather a function of the wiring density required to construct the network. This paper analyzes communications networks of varying dimension under the assumption of constant wire bisection. Expressions for the latency, average case throughput, and hot-spot throughput of k-ary n-cube networks with constant bisection are derived that agree closely with experimental measurements. It is shown that low-dimensional networks (e.g., tori) have lower latency and higher hot-spot throughput than high-dimensional networks (e.g., binary n-cubes) with the same bisection width. Keywords: Communication networks; Interconnection networks; Concurrent computing; Message passing multiprocessors; Parallel processing; Very large scale integration. (jhd).
Abstract: "The difference among different topologies in interconnection networks is a debated issue among highly parallel machine designers, since opposing parameters influence the network performance. This paper presents a new model, k-ary n-cube m-diags, which generalizes existing k-ary n-cube topologies to include hexagonal networks and their n- dimensional extensions. A performance analysis based on this model is conducted, showing that the increase of connectivity in low-dimensional networks by means of diagonal links results in better latency and throughput in the network. An algorithm for routing messages in k-ary n- cube m-diags is proposed, showing the relative ease of performing this task on such topologies."
Perhaps the most critical component in determining the ultimate performance potential of a multicomputer is its interconnection network, the hardware fabric supporting communication among individual processors. The message latency and throughput of such a network are affected by many factors of which topology, switching method, routing algorithm and traffic load are the most significant. In this context, the present study focuses on a performance analysis of k-ary n-cube networks employing wormhole switching, virtual channels and adaptive routing. First, an accurate analytical model for wormhole-routed k-ary n-cubes with adaptive routing and uniform traffic is developed. New models are constructed for wormhole k-ary n-cubes under adaptive routing and non-uniform communication workloads, such as hotspot traffic, matrix-transpose and digit-reversal permutation patterns. Finally, k-ary n-cubes of different dimensionality are compared using the new models. The comparison takes account of various traffic patterns and implementation costs, using both pin-out and bisection bandwidth as metrics.
This book describes the design and engineering tradeoffs of datacenter networks. It describes interconnection networks from topology and network architecture to routing algorithms, and presents opportunities for taking advantage of the emerging technology trends that are influencing router microarchitecture. With the emergence of "many-core" processor chips, it is evident that we will also need "many-port" routing chips to provide a bandwidth-rich network to avoid the performance limiting effects of Amdahl's Law. We provide an overview of conventional topologies and their routing algorithms and show how technology, signaling rates and cost-effective optics are motivating new network topologies that scale up to millions of hosts. The book also provides detailed case studies of two high performance parallel computer systems and their networks. --Book Jacket.
Foreword -- Foreword to the First Printing -- Preface -- Chapter 1 -- Introduction -- Chapter 2 -- Message Switching Layer -- Chapter 3 -- Deadlock, Livelock, and Starvation -- Chapter 4 -- Routing Algorithms -- Chapter 5 -- CollectiveCommunicationSupport -- Chapter 6 -- Fault-Tolerant Routing -- Chapter 7 -- Network Architectures -- Chapter 8 -- Messaging Layer Software -- Chapter 9 -- Performance Evaluation -- Appendix A -- Formal Definitions for Deadlock Avoidance -- Appendix B -- Acronyms -- References -- Index.
These results should prove useful for engineering high- performance systems based on low-dimensional k-ary n-cube networks."