Single approximation for biobjective max TSP

  • Authors:
  • Cristina Bazgan;Laurent Gourvès;Jérôme Monnot;Fanny Pascual

  • Affiliations:
  • LAMSADE, Université Paris-Dauphine, Paris Cedex 16, France and CNRS, UMR 7243, France and Institut Universitaire de France, France;LAMSADE, Université Paris-Dauphine, Paris Cedex 16, France and CNRS, UMR 7243, France;LAMSADE, Université Paris-Dauphine, Paris Cedex 16, France and CNRS, UMR 7243, France;LIP6, Université Pierre et Marie Curie, Paris, France

  • Venue:
  • WAOA'11 Proceedings of the 9th international conference on Approximation and Online Algorithms
  • Year:
  • 2011

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Abstract

We propose an algorithm which returns a single Hamiltonian cycle with performance guarantee on both objectives. The algorithm is analysed in three cases. When both (resp. at least one) objective function(s) fulfill(s) the triangle inequality, the approximation ratio is 5/12-ε≈ 0.41 (resp. 3/8-ε). When the triangle inequality is not assumed on any objective function, the algorithm is {1+2√2}/14 - ε≈ 0.27-approximate.