TY  - THES
A1  - Hoheisel, Tim
T1  - Mathematical Programs with Vanishing Constraints
T1  - Optimierungsprobleme mit \'vanishing constraints\'
N2  - A new class of optimization problems name 'mathematical programs with vanishing constraints (MPVCs)' is considered. MPVCs are on the one hand very challenging from a theoretical viewpoint, since standard constraint qualifications such as LICQ, MFCQ, or ACQ are most often violated, and hence, the Karush-Kuhn-Tucker conditions do not provide necessary optimality conditions off-hand. Thus, new CQs and the corresponding optimality conditions are investigated. On the other hand, MPVCs have important applications, e.g., in the field of topology optimization. Therefore, numerical algorithms for the solution of MPVCs are designed, investigated and tested for certain problems from truss-topology-optimization.
KW  - Nichtlineare Optimierung
KW  - Nichtglatte Optimierung
KW  - Nichtkonvexe Optimierung
KW  - Nichtglatte Analysis
KW  - Konvexe Analysis
KW  - Topologieoptimierung
KW  - MPEC
KW  - MPVC
Y1  - 2009
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-40790
ER  -