This thesis presents a mathematical approach and theoretical treatment of a central challenge of modern housing policy:
deconcentrating poverty via ''housing mobility programs''. The idea is to move poor families into middle-class neighborhoods without inducing the inhabitants of these communities to outward migration or ''flight''.
The emphasis is put on the search for an optimal compromise between preserving the established population in a neighborhood and facilitate the inflow of marginalized families. The problem is treated by methods of optimal control theory using the MATLAB toolbox OCMat developed by Dieter Grass (currently project assistant in the research unit for Operation Research and Control Systems at the Vienna University of Technology). The analyzed scenarios exhibit unique solutions but also cases of indifference, for which two optimal solutions exists.