One of the main concerns related with this project includes a theoretical analysis of convergence properties of the developed primal-dual interior point filter line search method, and the efficient handling of large-scale problems, requiring research on numerical linear algebra issues, like systems stability and fill in. The other interest is to further explore the inexact restoration technique based on a filter line search methodology. In both cases, extensive comparative tests and improvements in the resulting software will follow. Optimization problem design will be explored in other engineering areas.