Permutation routing on reconfigurable meshes

Abstract

In this paper we present efficient algorithms for packet routing on the reconfigurable linear array and the reconfigurable two dimensional mesh. We introduce both worst case algorithms and algorithms that are better on average. The time bounds presented are better than those achievable on the conventional mesh and previously known algorithms. We present two variants of the reconfigurable mesh. In the first model, Mr, the processors are attached to a reconfigurable bus, the individual edge connections being bidirectional. In the second model, Mmr, the processors are attached to two unidirectional reconfigurable buses. In this paper, we present lower bounds and nearly matching upper bounds for packet routing on these two models. As a consequence, we solve two of the open problems mentioned in [15].