Convergence Time for the Linkage Learning Genetic Algorithm

  • Authors:
  • Ying-Ping Chen;David E. Goldberg

  • Affiliations:
  • Department of Computer Science National Chiao Tung University, Hsinchu City 300, Taiwan;Department of General Engineering University of Illinois, Urbana, IL 61801, USA

  • Venue:
  • Evolutionary Computation
  • Year:
  • 2005

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Abstract

This paper identifies the sequential behavior of the linkage learning genetic algorithm, introduces the tightness time model for a single building block, and develops the connection between the sequential behavior and the tightness time model. By integrating the first-building-block model based on the sequential behavior, the tightness time model, and the connection between these two models, a convergence time model is constructed and empirically verified. The proposed convergence time model explains the exponentially growing time required by the linkage learning genetic algorithm when solving uniformly scaled problems.