In two examples we were able to present the benefits of the new method. In both examples the new method converged easily towards an optimal solution. For the second example we demonstrated the robustness of the proposed approach by using random initial values. The optimality could be confirmed by a calculation performed by the commercial flowsheet simulator Aspen Plus R in combination with an external optimization routine. Comparing both solutions showed that the new approach found a solution of a higher quality and more stable. In terms of the needed time to find an optimal solution, the new approach totally outperformed the classical approach. For a distillation column with two dividing walls the new approach was 1000 times faster.