In a real situation, optimization problems often involve uncertain parameters. Robust optimization is one of distribution-free methodologies based on worst-case analyses for handling such problems. In this paper, we first focus on a special class of uncertain linear programs (LPs). Applying the...

In this paper we examine non-convex quadratic optimization problems over a quadratic constraint under unknown but bounded interval perturbation of problem data in the constraint and develop criteria for characterizing robust (i.e. uncertainty-immunized) global solutions of classes of non-convex...

Drei große Reformenpakete und eine Reihe kleinerer Begleitmaßnahmen prägen das renten¬politische Erbe der rot-grünen Bundesregierung. Einerseits greifen sie Trends in der Reformpolitik seit Beginn der 90er Jahre auf. So verstärkt die Rentenstrukturreform 2001 beispielsweise die...

This note develops the solutions of the static portfolio optimization problem in explicit matrix form. Three cases are contemplated and connected, with the derivation of relevant corner solutions: the unconstrained problem in the presence of risky assets only, the constrained one, and the...