Performance of evolutionary algorithms on random decomposable problems

  • Authors:
  • Martin Pelikan;Kumara Sastry;Martin V. Butz;David E. Goldberg

  • Affiliations:
  • Missouri Estimation of Distribution Algorithms Laboratory (MEDAL), 320 CCB, University of Missouri in St. Louis, St. Louis, MO;Illinois Genetic Algorithms Laboratory (IlliGAL), 107 TB, University of Illinois at Urbana-Champaign, Urbana, IL;Department of Cognitive Psychology, University of Würzburg, Würzburg, Germany;Illinois Genetic Algorithms Laboratory (IlliGAL), 107 TB, University of Illinois at Urbana-Champaign, Urbana, IL

  • Venue:
  • PPSN'06 Proceedings of the 9th international conference on Parallel Problem Solving from Nature
  • Year:
  • 2006

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Abstract

This paper describes a class of random additively decomposable problems (rADPs) with and without interactions between the subproblems. The paper then tests the hierarchical Bayesian optimization algorithm (hBOA) and other evolutionary algorithms on a large number of random instances of the proposed class of problems. The results show that hBOA can scalably solve rADPs and that it significantly outperforms all other methods included in the comparison. Furthermore, the results provide a number of interesting insights into both the difficulty of a broad class of decomposable problems as well as the sensitivity of various evolutionary algorithms to different sources of problem difficulty. rADPs can be used to test other optimization algorithms.