Hybrid cross-entropy method/Hopfield neural network for combinatorial optimization problems

  • Authors:
  • Emilio G. Ortiz-García;Ángel M. Pérez-Bellido

  • Affiliations:
  • Department of Signal Theory and Communications, Universidad de Alcalá, Madrid, Spain;Department of Signal Theory and Communications, Universidad de Alcalá, Madrid, Spain

  • Venue:
  • IDEAL'07 Proceedings of the 8th international conference on Intelligent data engineering and automated learning
  • Year:
  • 2007

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Abstract

This paper presents a novel hybrid algorithm for combinatorial optimization problems based on mixing the cross-entropy (CE) method and a Hopfield neural network. The algorithm uses the CE method as a global search procedure, whereas the Hopfield network is used to solve the constraints associated to the problems. We have shown the validity of our approach in several instance of the generalized frequency assignment problem.