Optimally Scaling Permutation Routing on Reconfigurable Linear Arrays with Optical Buses

We present an optimal and scalable permutation routing algorithm for three reconfigurable models based on linear arrays that allow pipelining of information through an optical bus. Specifically, for any P N, our algorithm routes any permutation of N elements on a P-processor model optimally in O( P) steps. This algorithm extends naturally to one for routing h-relations optimally in O(h) steps. We also establish the equivalence of the three models: linear array with a reconfigurable pipelined bus system, doi:10.1006 jpdc.2000.1643, available online at http: www.idealibrary.com on