General lower bounds for the running time of evolutionary algorithms

  • Authors:
  • Dirk Sudholt

  • Affiliations:
  • International Computer Science Institute, Berkeley, CA

  • Venue:
  • PPSN'10 Proceedings of the 11th international conference on Parallel problem solving from nature: Part I
  • Year:
  • 2010

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Abstract

We present a new method for proving lower bounds in evolutionary computation based on fitness-level arguments and an additional condition on transition probabilities between fitness levels. The method yields exact or near-exact lower bounds for LO, OneMax, and all functions with a unique optimum. All lower bounds hold for every evolutionary algorithm that only uses standard mutation as variation operator.