Effect of SMS-EMOA parameterizations on hypervolume decreases

Authors:
Leonard Judt;Olaf Mersmann;Boris Naujoks
Affiliations:
Faculty of Statistics, TU Dortmund University, Dortmund, Germany;Faculty of Statistics, TU Dortmund University, Dortmund, Germany;Cologne University of Applied Sciences, Gummersbach, Germany
Venue:
LION'12 Proceedings of the 6th international conference on Learning and Intelligent Optimization
Year:
2012

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Abstract

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.