Analysis of fully adaptive wormhole routing in tori

Abstract A model of adaptive routing in the hypercube has recently been proposed (Y. Boura, C.R. Das, T.M. Jacob, A performance model for adaptive routing in hypercubes, in: Proceedings of the International Workshop on Parallel Processing, 1994, pp. 11–16). Modelling adaptive routing in a high-radix k -ary n -cube, e.g., the torus, is more complicated than in the hypercube since a message in the former may cross more than one channel along a given dimension. This paper proposes a queuing model of adaptive routing in the torus. The validity of the model is demonstrated by comparing analytical results with those obtained through simulations.

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