Achieving 100% throughput in reconfigurable optical networks

  • Authors:
  • Andrew Brzezinski;Eytan Modiano

  • Affiliations:
  • Fidelity Investments, Boston, MA and Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology;Massachusetts Institute of Technology, Cambridge, MA

  • Venue:
  • IEEE/ACM Transactions on Networking (TON)
  • Year:
  • 2008

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Abstract

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.