Optimally scaling permutation routing on reconfigurable linear arrays with optical buses

Document Type

Article

Publication Date

1-1-2000

Abstract

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(NP) 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, linear pipelined bus, and pipelined optical bus. This implies an automatic translation of algorithms (without loss of speed or efficiency) among these models. © 2000 Academic Press.

Publication Source (Journal or Book title)

Journal of Parallel and Distributed Computing

First Page

1125

Last Page

1136

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