Using polynomial reductions to test the suitability of metaheuristics for solving NP-complete problems

  • Authors:
  • Pablo Rabanal;Ismael Rodríguez

  • Affiliations:
  • Universidad Complutense de Madrid, Madrid, Spain;Universidad Complutense de Madrid, Madrid, Spain

  • Venue:
  • Proceedings of the 28th Annual ACM Symposium on Applied Computing
  • Year:
  • 2013

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Abstract

We present a method to compare the suitability of evolutionary computation metaheuristics for solving different NP-complete problems. Instead of checking the performance of each metaheuristic for each problem by using a specific benchmark of that problem, polynomial reductions are used to transform instances of a problem into the other. In this way, we avoid assessing each metaheuristic in terms of incomparable benchmarks. Several pairs of NP-complete problems are compared. For each pair, the impact of the difficulty of the polynomial reduction on the capability of an evolutionary method (in particular, genetic algorithms) to achieve a similar performance for both problems is studied.