Modelling and evaluation of adaptive routing in high-performance n-D tori networks

Many fully-adaptive algorithms have been proposed to overcome the performance limitations of deterministic routing in networks used in high-performance multicomputers, such as the well-known regular n-D torus. This paper proposes a simple yet reasonably accurate analytical performance model to predict message communication latency in tori networks. This model requires a running time of O(1) which is the fastest model yet reported in the literature. Extensive simulations reveal that the new performance model maintains a reasonable accuracy when the network operates under different traffic conditions. The model is then used to perform an extensive investigation into the performance merits of n-D tori using adaptive routing and virtual channels.