Wavelength rerouting in optical networks, or the Venetian Routing problem

  • Authors:
  • Alberto Caprara;Giuseppe F. Italiano;G. Mohan;Alessandro Panconesi;Aravind Srinivasan

  • Affiliations:
  • DEIS, Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy;Dipartimento di Informatica, Sistemi e Produzione, Università di Roma Tor Vergata, Roma, Italy;Dept. of Electrical and Computer Engineering, National University of Singapore, Singapore;DSI, Università La Sapienza, via Salaria 113, piano terzo, 00198, Roma, Italy;Bell Laboratories, Lucent Technologies, 600-700 Mountain Avenue, Murray Hill, NJ

  • Venue:
  • Journal of Algorithms
  • Year:
  • 2002

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Abstract

Wavelength rerouting has been suggested as a viable and cost-effective method to improve the blocking performance of wavelength-routed wavelength-division multiplexing (WDM) networks. This method leads to the following combinatorial optimization problem, dubbed Venetian Routing. Given a directed multigraph G along with two vertices s and t and a collection of pairwise arc-disjoint paths, we wish to find an st-path which arc-intersects the smallest possible number of the given paths. In this paper we prove the computational hardness of this problem even in various special cases, and present several approximation algorithms for its solution. In particular we show a non-trivial connection between Venetian Routing and Label Cover.