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Evolutionary Computation

Winter 1994, Vol. 2, No. 4, Pages 381-407
(doi: 10.1162/evco.1994.2.4.381)
© 1994 by the Massachusetts Institute of Technology
Toward a Theory of Evolution Strategies: The (μ, λ)-Theory
Article PDF (1.03 MB)
Hans-Georg Beyer
University of Dortmund, Department of Computer Science, Systems Analysis Research Group, D-44221 Dortmund, Germany beyer@LS11.informatik.uni-dortmund.de
Abstract

The multimembered evolution strategy (ES) acting on μ parents and λ offspring is analyzed for real-valued, N-dimensional parameter spaces (N ⪆ 30). N-dependent progress rate formulas are derived for (1, λ) and (μ, λ) strategies on spherical models. The analytical results obtained are compared with simulation experiments for the (hyper)sphere and the inclined (hyper)plane.