The role of selective pressure when solving symmetric functions in polynomial time

  • Authors:
  • Lars Kaden;Nicole Weicker;Karsten Weicker

  • Affiliations:
  • Daimler AG, Esslingen, Germany;Germany;HTWK Leipzig, Leipzig, Germany

  • Venue:
  • Proceedings of the 11th workshop proceedings on Foundations of genetic algorithms
  • Year:
  • 2011

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Abstract

This paper is concerned with the question to which extent a change in the selective pressure might improve the runtime of an optimization algorithm considerably. The subject of this examination is the class of symmetric functions, i.e. OneMax with a subsequent application of a real valued function. We consider an improvement in runtime as considerable if an exponential runtime becomes polynomial. The basis for this examination is a Markov chain analysis. An exact criterion for static selective pressure, telling which functions are solvable in polynomial time, is extended to a sufficient (but not necessary) criterion for changing selection pressure.