On the effect of populations in evolutionary multi-objective optimisation**

  • Authors:
  • Oliver Giel;Per Kristian Lehre

  • Affiliations:
  • Fakultäät füür Informatik, LS 2, Technische Universitäät Dortmund, Germany. Oliver.Giel@@cs.uni-dortmund.de;School of Computer Science, The University of Birmingham, United Kingdom. P.K.Lehre@@cs.bham.ac.uk

  • Venue:
  • Evolutionary Computation
  • Year:
  • 2010

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Abstract

Multi-objective evolutionary algorithms (MOEAs) have become increasingly popular as multi-objective problem solving techniques. An important open problem is to understand the role of populations in MOEAs. We present two simple bi-objective problems which emphasise when populations are needed. Rigorous runtime analysis points out an exponential runtime gap between the population-based algorithm simple evolutionary multi-objective optimiser (SEMO) and several single individual-based algorithms on this problem. This means that among the algorithms considered, only the population-based MOEA is successful and all other algorithms fail.