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Performance modelling of wormhole-routed hypercubes with bursty traffice and finite buffers

By Demetres D. Kouvatsos, Salam Assi and M. Ould-Khaoua

Abstract

An open queueing network model (QNM) is proposed for wormhole-routed hypercubes with finite\ud buffers and deterministic routing subject to a compound Poisson arrival process (CPP) with geometrically\ud distributed batches or, equivalently, a generalised exponential (GE) interarrival time distribution. The GE/G/1/K\ud queue and appropriate GE-type flow formulae are adopted, as cost-effective building blocks, in a queue-by-queue\ud decomposition of the entire network. Consequently, analytic expressions for the channel holding time, buffering\ud delay, contention blocking and mean message latency are determined. The validity of the analytic approximations\ud is demonstrated against results obtained through simulation experiments. Moreover, it is shown that the wormholerouted\ud hypercubes suffer progressive performance degradation with increasing traffic variability (burstiness)

Topics: Wormhole Routing, Hypercubes, Compound Poisson Proccess, Generalised Exponential Message Latency, Simulation
Year: 2005
OAI identifier: oai:bradscholars.brad.ac.uk:10454/478
Provided by: Bradford Scholars

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