On the Choice of the Mutation Probability for the (1+1) EA

  • Authors:
  • Thomas Jansen;Ingo Wegener

  • Affiliations:
  • -;-

  • Venue:
  • PPSN VI Proceedings of the 6th International Conference on Parallel Problem Solving from Nature
  • Year:
  • 2000

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Abstract

When evolutionary algorithms are used for function optimization, they perform a heuristic search that is influenced by many parameters. Here, the choice of the mutation probability is investigated. It is shown for a non-trivial example function that the most recommended choice for the mutation probability 1/n is by far not optimal, i. e., it leads to a superpolynomial running time while another choice of the mutation probability leads to a search algorithm with expected polynomial running time. Furthermore, a simple evolutionary algorithm with an extremely simple dynamic mutation probability scheme is suggested to overcome the difficulty of finding a proper setting for the mutation probability.