Title
An Analytical Model of k-Ary n-Cube under Spatial Communication Locality
Abstract
The method of spatial communication locality is adopted in many real parallel programs. But as we know, the definition of spatial communication locality is not consistent among existing analytical models and its impacts to latency and throughput have not been reported systematically. K-ary n-cube has been widely used in practical parallel computers, which supports communication locality well. In this paper, we use binary parameters— local message fraction and local domain's radius to describe spatial locality. Then we give an analytical model of k-ary n-cube under spatial communication locality by M/G/1 queuing model, and the situation that a message's length is less than the network radius in wormhole switching is considered. The results from simulation show close agreement with our analytical model.
Year
DOI
Venue
2010
10.1109/WAINA.2010.30
AINA Workshops
Keywords
Field
DocType
routing,mathematical model,concurrent computing,network topology,queueing theory,computational modeling,switches,throughput,computer networks,parallel programming,wormhole
Locality,Locality of reference,Wormhole switching,Computer science,Computer network,Network topology,Theoretical computer science,Queueing theory,Throughput,Virtual channel,Binary number,Distributed computing
Conference
Citations 
PageRank 
References 
0
0.34
12
Authors
2
Name
Order
Citations
PageRank
Kai Hu19012.83
Zhe Wang23413.41