A Theoretical Analysis of Immune Inspired Somatic Contiguous Hypermutations for Function Optimization

  • Authors:
  • Thomas Jansen;Christine Zarges

  • Affiliations:
  • Department of Computer Science, University College Cork, Cork, Ireland;Fakultät für Informatik, LS 2, TU Dortmund, Dortmund, Germany 44221

  • Venue:
  • ICARIS '09 Proceedings of the 8th International Conference on Artificial Immune Systems
  • Year:
  • 2009

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Abstract

Artificial immune systems can be applied to a variety of very different tasks including classical function optimization. There are even artificial immune systems tailored specifically for this task. In spite of the successful application there is little knowledge and hardly any theoretical investigation about how and why they perform well. Here a rigorous analysis for a specific type of mutation operator introduced for function optimization called somatic contiguous hypermutation is presented. While there are serious limitations to the performance of this operator even for simple optimization tasks it is proven that for some types of optimization problems it performs much better than standard bit mutations most often used in evolutionary algorithms.