Parallel routing and wavelength assignment for optical multistage interconnection networks

Multistage interconnection networks (MINs) are among the most efficient switching architectures in terms of the number of switching elements (SEs) used. For op-tical MINs (OMINs), two I/O connections with neigh-boring wavelengths cannot share a common SE due to crosstalk. In this paper, we focus on the wavelength di-lation approach, in which the I/O connections shar-ing a common SE will be assigned different wavelengths with enough wavelength spacing. We first study the per-mutation capacity of OMINs, then propose fast par-allel routing and wavelength assignment algorithms for OMINs. By applying our permutation decomposi-tion and graph coloring techniques, the proposed algo-rithms can route any permutation without crosstalk in wavelength-rearrangeable space-strict-sense Banyan net-works and wavelength-rearrangeable space-rearrangeable Benes networks in polylogarithmic time using a linear num-ber of processors. 1