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Performance analysis of k-ary n-cube interconnection networks

William J. Dally
- Vol. 88, pp 30010
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TLDR
In this article, the authors derived expressions for the latency, average case throughput, and hot-spot throughput of k-ary n-cube networks with constant bisection that agree closely with experimental measurements.
Abstract
VLSI communication networks are wire-limited, i.e. the cost of a network is not a function of the number of switches required, but rather a function of the wiring density required to construct the network. Communication networks of varying dimensions are analyzed 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 that agree closely with experimental measurements are derived. 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. >

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References
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Introduction to VLSI systems

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Sorting networks and their applications

TL;DR: To achieve high throughput rates today's computers perform several operations simultaneously; not only are I/O operations performed concurrently with computing, but also, in multiprocessors, several computing operations are done concurrently.
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Deadlock-free message routing in multiprocessor interconnection networks

TL;DR: A deadlock-free routing algorithm can be generated for arbitrary interconnection networks using the concept of virtual channels, which is used to develop deadlocked routing algorithms for k-ary n-cubes, for cube-connected cycles, and for shuffle-exchange networks.
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Parallel Processing with the Perfect Shuffle

TL;DR: Given a vector of N elements, the perfect shuffle of this vector is a permutation of the elements that are identical to aperfect shuffle of a deck of cards.
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TL;DR: In this article, the authors presented a new class of universal routing networks, called fat-trees, which might be used to interconnect the processors of a general-purpose parallel supercomputer, and proved that a fat-tree of a given size is nearly the best routing network of that size.