Design of capacitated survivable networks with a single facility

  • Authors:
  • Hervé Kerivin;Dritan Nace;Thi-Tuyet-Loan Pham

  • Affiliations:
  • Laboratoire LIMOS, CNRS UMR 6158, Université Blaise Pascal, Clermont-Ferrand II, France and Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN;Université de Technologie de Compiègne, Centre de Recherches de Royallieu, Laboratoire HEUDIASYC, UMR CNRS 6599, 60205 Compiègne Cedex, France;TMA Company, Vietnam

  • Venue:
  • IEEE/ACM Transactions on Networking (TON)
  • Year:
  • 2005

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Abstract

In this paper we focus on the single-facility capacitated survivable network design problem. We optimize simultaneously the network topology and the link dimensioning in order to route all traffic commodities according to survivability requirements. The latter are actually expressed in terms of the spare capacity required to address link failures in the context of different rerouting strategies. We present a mixed-integer linear programming model solved by combining several approaches. To tackle the high dimensionality and to separate the continuous and integer variables, we use Benders' decomposition and a cutting-plane approach. Going beyond the proposed method itself, we examine and compare two well-known restoration techniques: local and end-to-end reroutings. Numerous computational results for realistic network instances provide a comparison of these rerouting mechanisms in terms of installed capacities, network density as well as overall costs and CPU time.