Effect of SMS-EMOA Parameterizations on Hypervolume Decreases

  • Leonard Judt
  • Olaf Mersmann
  • Boris Naujoks
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7219)


It is possible for the (μ + 1)-SMS-EMOA to decrease in dominated hypervolume w.r.t. a global reference point. We study the influence of SMS-EMOA parameter settings on number and amount of the observed decreases. We show that the number of decreases drop and the number of increases rise with a higher population size. In addition, a positive correlation between mean increase and mean decrease can be observed. Our findings further indicate a substantial impact of the mutation operators on the number and amount of decreases.


EMO hypervolume decreases parameter influence 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Leonard Judt
    • 1
  • Olaf Mersmann
    • 1
  • Boris Naujoks
    • 2
  1. 1.Faculty of StatisticsTU Dortmund UniversityDortmundGermany
  2. 2.Cologne University of Applied SciencesGummersbachGermany

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