NDLI: Modeling of Latency and Saturation Phenomena in Interconnection Networks

Content Provider	IEEE Xplore Digital Library
Author	Rykalova, Y. Levitin, L.B. Brower, R.
Copyright Year	2007
Description	Author affiliation: Boston Univ., Boston (Rykalova, Y.; Levitin, L.B.; Brower, R.)
Abstract	A multiprocessor networks modeled as a ring and as a 2D toroidal lattice of nodes are considered. Each node generates messages with probability lambda per clock cycle per output port. Once an output buffer is not empty, the output port sends out exactly one message every clock cycle. We derive analytical expressions for the queue length distribution, the average number of messages in buffers, and the latency. The network experiences a phase transition from equilibrium to the saturation regime, and the critical exponent is equal to 1. Simulations demonstrate an excellent agreement with theoretical predictions and validate the assumption of independent queues. A model of a ring network where the message generating rate depends on the intensity of the incoming messages is studied by simulation. The results show the emergence of dependences between queues in closely located nodes, and changes in the values of the critical load and critical exponent.
Starting Page	1001
Ending Page	1006
File Size	2344399
Page Count	6
File Format	PDF
ISBN	9781424415205
ISSN	15301346
DOI	10.1109/ISCC.2007.4381602
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delay Multiprocessor interconnection networks Queueing analysis Lattices Clocks Routing Laplace equations Performance analysis Predictive models Supercomputers
Content Type	Text
Resource Type	Article
Subject	Signal Processing Mathematics Computer Networks and Communications Computer Science Applications Software

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