High-Order sequence entropies for measuring population diversity in the traveling salesman problem

  • Authors:
  • Yuichi Nagata;Isao Ono

  • Affiliations:
  • Education Academy of Computational Life Sciences, Tokyo Institute of Technology, Japan;Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, Japan

  • Venue:
  • EvoCOP'13 Proceedings of the 13th European conference on Evolutionary Computation in Combinatorial Optimization
  • Year:
  • 2013

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Abstract

We propose two entropy-based diversity measures for evaluating population diversity in a genetic algorithm (GA) applied to the traveling salesman problem (TSP). In contrast to a commonly used entropy-based diversity measure, the proposed ones take into account high-order dependencies between the elements of individuals in the population. More precisely, the proposed ones capture dependencies in the sequences of up to m+1 vertices included in the population (tours), whereas the commonly used one is the special case of the proposed ones with m=1. We demonstrate that the proposed entropy-based diversity measures with appropriate values of m evaluate population diversity more appropriately than does the commonly used one.