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A New Theory of Deadlock-Free Adaptive Routing in Wormhole Networks
December 1993 (vol. 4 no. 12)
pp. 1320-1331

The theoretical background for the design of deadlock-free adaptive routing algorithmsfor wormhole networks is developed. The author proposes some basic definitions and twotheorems. These create the conditions to verify that an adaptive algorithm isdeadlock-free, even when there are cycles in the channel dependency graph. Two designmethodologies are also proposed. The first supplies algorithms with a high degree offreedom, without increasing the number of physical channels. The second methodology isintended for the design of fault-tolerant algorithms. Some examples are given to show theapplication of the methodologies. Simulations show the performance improvement thatcan be achieved by designing the routing algorithms with the new theory.

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Index Terms:
Index Termsdeadlock-free adaptive routing; wormhole networks; adaptive algorithm; channeldependency graph; fault-tolerant algorithms; performance; routing algorithms;concurrency control; fault tolerant computing; graph theory; message passing;telecommunication network routing
Citation:
J. Duato, "A New Theory of Deadlock-Free Adaptive Routing in Wormhole Networks," IEEE Transactions on Parallel and Distributed Systems, vol. 4, no. 12, pp. 1320-1331, Dec. 1993, doi:10.1109/71.250114
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