Exploration of population fixed-points versus mutation rates for functions of unitation

Using a dynamic systems model for the Simple Genetic Algorithm due to Vose, we analyze the fixed point behavior of the model without crossover applied to functions of unitation. Unitation functions are simplified fitness functions that reduce the search space into a smaller number of equivalence classes. This reduction allows easier computation of fixed points. The effect of model fixed points that are outside of the population space, but near enough to influence behavior of the Simple GA will be examined. This analysis will be applied to several fitness functions of unitation.