| Abstract | Multistage Interconnection Networks (MINs) with crossbar
switches are used to interconnect processors and memory modules in
parallel multiprocessor systems. In this paper we analyze the general case
of MINs, made of kk switches with nite, innite or zero length buers
(unbuered). The exact solution of the steady state distribution of the
rst stage is derived for all cases. We use this to get an approximation
for the steady state distributions in the second stage and beyond. In the
case of unbuered switches we reach the known exact solution for all the
stages of the MIN. Our results are validated by extensive simulations.
Keywords: analytical models, queueing theory models, evaluation.
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