The authors present a model to describe the precipitation/dissolution kinetics during homogenization of multi-component alloys. The model is capable of describing the simultaneous nucleation, growth and coarsening of several types of spherical precipitates. To calculate the equilibrium phases, the chemical driving forces and the equilibrium concentrations, the commercial Gibbs energy minimizer ChemApp [1] (GTT Technologies, Herzogenrath, Germany) and a thermodynamic database (COST 507 [2]) have been embedded. The main advantage of this strategy is that there is nearly no restriction on a special alloy system. In contrast to simulations, taking into account local diffusion fluxes on a spatial grid (e.g. Cahn-Hilliard simulations), the present algorithm is fast and therefore of particular interest for industrial applications.