Deadlock-Free Message Routing in Multiprocessor Interconnection Networks

@article{Dally1987DeadlockFreeMR,
  title={Deadlock-Free Message Routing in Multiprocessor Interconnection Networks},
  author={William J. Dally and Charles L. Seitz},
  journal={IEEE Transactions on Computers},
  year={1987},
  volume={C-36},
  pages={547-553}
}
  • W. Dally, C. Seitz
  • Published 1 May 1987
  • Computer Science
  • IEEE Transactions on Computers
A deadlock-free routing algorithm can be generated for arbitrary interconnection networks using the concept of virtual channels. A necessary and sufficient condition for deadlock-free routing is the absence of cycles in a channel dependency graph. Given an arbitrary network and a routing function, the cycles of the channel dependency graph can be removed by splitting physical channels into groups of virtual channels. This method is used to develop deadlock-free routing algorithms for k-ary n… 
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2,325 Citations

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A new deadlock free routing function which avoids the drawbacks of existing methods based on buffers ordering is proposed which is based on a protocol which insures the correct delivery of messages at their destination in networks of even degree.
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A generic methodology for defining deadlock-free wormhole routing schemes in any arbitrary network by partitioning a graph into subdigraphs with no cyclic dependencies and selectively assign virtual channels is introduced.
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It is empirically show that increasing routing freedom, as achieved by allowing unrestricted routing over multiple virtual channels, makes deadlocks highly improbable and reduces the likelihood of other types of correlated message blocking behavior that can degrade performance.
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