A hybrid constraint model for the routing and wavelength assignment problem

  • Authors:
  • Helmut Simonis

  • Affiliations:
  • Cork Constraint Computation Centre, Department of Computer Science, University College Cork, Ireland

  • Venue:
  • CP'09 Proceedings of the 15th international conference on Principles and practice of constraint programming
  • Year:
  • 2009

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Abstract

In this paper we present a hybrid model for the demand acceptance variant of the routing and wavelength assignment problem in directed networks, an important benchmark problem in optical network design. Our solution uses a decomposition into a MIP model for the routing and optimization aspect, combined with a finite domain constraint model for the wavelength assignment. If a solution to the constraint problem is found, it provides an optimal solution to the overall problem. If the constraint problem is infeasible, we use an extended explanation technique to find a good relaxation of the problem which leads to a near optimal solution. Extensive experiments show that proven optimality is achieved for more than 99.8% of all cases tested, while run-times are orders of magnitude smaller than the best known MIP solution.