Approximating Multi-criteria Max-TSP

  • Authors:
  • Markus Bläser;Bodo Manthey;Oliver Putz

  • Affiliations:
  • Computer Science, Saarland University, Saarbrücken, Germany 66041;Computer Science, Saarland University, Saarbrücken, Germany 66041;Computer Science, Saarland University, Saarbrücken, Germany 66041

  • Venue:
  • ESA '08 Proceedings of the 16th annual European symposium on Algorithms
  • Year:
  • 2008

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Abstract

We present randomized approximation algorithms for multi-criteria Max-TSP. For Max-STSP with k 1 objective functions, we obtain an approximation ratio of $\frac 1k - \varepsilon$ for arbitrarily small 茂戮驴 0. For Max-ATSP with kobjective functions, we obtain a ratio of $\frac{1}{k+1} - \varepsilon$.