  A theoretical performance analysis of the
$(\mu/\mu_I,\lambda)$-$\sigma$-Self-Adaptation Evolution Strategy
($\sigma$SA-ES) is presented considering a conically constrained problem.
Infeasible offspring are repaired using projection onto the boundary of the
feasibility region. Closed-form approximations are used for the one-generation
progress of the evolution strategy. Approximate deterministic evolution
equations are formulated for analyzing the strategy's dynamics. By iterating
the evolution equations with the approximate one-generation expressions, the
evolution strategy's dynamics can be predicted. The derived theoretical results
are compared to experiments for assessing the approximation quality. It is
shown that in the steady state the $(\mu/\mu_I,\lambda)$-$\sigma$SA-ES exhibits
a performance as if the ES were optimizing a sphere model. Unlike the
non-recombinative $(1,\lambda)$-ES, the parental steady state behavior does not
evolve on the cone boundary but stays away from the boundary to a certain
extent.
