Competitive simulated annealing and Tabu Search algorithms for the max-cut problem

  • Authors:
  • Emely Arráiz;Oswaldo Olivo

  • Affiliations:
  • Universidad Simón Bolívar, Caracas, Venezuela;Universidad Simón Bolívar, Caracas, Venezuela

  • Venue:
  • Proceedings of the 11th Annual conference on Genetic and evolutionary computation
  • Year:
  • 2009

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Abstract

The Max-Cut problem consists of partitioning the nodes of an undirected weighted graph into two subsets, such that the sum of the weights of the edges that connect two vertices in different partitions is maximized. It has applications in several fields like statistical physics, VLSI design, among others, and is known to be NP-Hard. We propose a Neighborhood generation method that balances diversity and quality of the obtained solutions. Consequently, the inclusion within Simulated Annealing and Tabu Search frameworks produces similar results to those reported by state-of-the-art methods such as VNSPR and Scatter Search, and in some cases improves them.