  The time evolution of a simple model for crossover is discussed. A variant of
this model with an improved exploration behavior in phase space is derived as a
subset of standard one- and multi-point crossover operations. This model is
solved analytically in the flat fitness case. Numerical simulations compare the
way of phase space exploration of different genetic operators. In the case of a
non-flat fitness landscape, numerical solutions of the evolution equations
point out ways to estimate premature convergence.
