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Analytic models for multistage interconnection networks

Peter G. Harrison

Journal Article
Journal of Parallel and Distributed Computing
Volume 12
Issue 4
August, 1991
DOI 10.1016/0743-7315(91)90006-U

Central to all parallel architectures is a switching network which facilitates the communication between a machine's components necessary to support their cooperation. Multistage interconnection networks (MINs) are classified and analytic models are described for both packet-switched and circuit-switched MINs with asynchronous transmission mode. Under strong enough assumptions, packet switching can be modeled by standard queuing methods, hence providing a standard against which to assess approximate models. We describe one such approximate model with much weaker assumptions which is more widely applicable and can be implemented more efficiently. To model circuit switching requires a different approach because of the presence of passive resources, namely multiple links through the MIN which must be held before a message can be transmitted and throughout its transmission. An approximate analysis based upon the recursive structure of a particular MIN topology which yields accurate predictions when compared with simulation is described.

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