A Framework for Designing Deadlock-free Routing Algorithms in Wormhole Networks
This paper provides necessary and sufficient conditions for
deadlock-free unicast and multicast routing with the
path-based routing model in interconnection networks which
use the wormhole switching technique. The theory is developed around
three central concepts: channel waiting, False Resource
Cycles, and valid destination sets. The first two
concepts are suitable extensions to those developed for unicast
routing by two authors of this paper; the third concept has been
developed by Lin and Ni. The necessary and sufficient conditions can
be applied in a straightforward manner to prove deadlock freedom and
to find more adaptive routing algorithms for collective communication.
The latter point is illustrated by developing two routing algorithms
for multicast communication in 2-D mesh architectures. The first
algorithm uses fewer resources (channels) than an algorithm proposed
in the literature but achieves the same adaptivity. The second
achieves full adaptivity for multicast routing.
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Last updated by Loren Schwiebert Email: on Jun-06-2001