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Achieving 100% Throughput in Reconfigurable Optical Networks

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2 Author(s)
Andrew Brzezinski ; Fidelity Investments, Boston, MA ; Eytan Modiano

We study the maximum throughput properties of dynamically reconfigurable optical network architectures having wavelength and port constraints. Using stability as the throughput performance metric, we outline the single-hop and multi-hop stability regions of the network. Our analysis of the stability regions is a generalization of the BvN decomposition technique that has been so effective at expressing any stabilizable rate matrix for input-queued switches as a convex combination of service configurations. We consider generalized decompositions for physical topologies with wavelength and port constraints. For the case of a single wavelength per optical fiber, we link the decomposition problem to a corresponding routing and wavelength assignment (RWA) problem. We characterize the stability region of the reconfigurable network, employing both single-hop and multi-hop routing, in terms of the RWA problem applied to the same physical topology. We derive expressions for two geometric properties of the stability region: maximum stabilizable uniform arrival rate and maximum scaled doubly substochastic region. These geometric properties provide a measure of the performance gap between a network having a single wavelength per optical fiber and its wavelength-unconstrained version. They also provide a measure of the performance gap between algorithms employing single-hop versus multi-hop electronic routing in coordination with WDM reconfiguration.

Published in:

IEEE/ACM Transactions on Networking  (Volume:16 ,  Issue: 4 )