Titlebook: Optimization with Multivalued Mappings; Theory, Applications Stephan Dempe,Vyacheslav Kalashnikov Book 2006 Springer-Verlag US 2006 Bilevel

OUTRE

战胜

Book 2006ilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems. ..

RUPT

材料等

Optimality criteria for bilevel programming problems using the radial subdifferentialentiable and generally discontinuous functions. To develop necessary and sufficient optimality conditions for the bilevel problem the radial-directional derivative and the radial subdifferential of these auxiliary functions are used.

引起

A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constrairvation has lead to a number of weaker first order conditions, with M-stationarity being the strongest among these weaker conditions. Here we show that M-stationarity is a first order optimality condition under a very weak Guignard-type constraint qualification. We present a short and direct approach.

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清醒

破裂

On the use of bilevel programming for solving a structural optimization problem with discrete variabet method provides in general a structure that is quite close to the optimal one in a small amount of effort. Furthermore the sequential complementarity method is able to find optimal structures in all the instances and compares favorably with a commercial integer program code for the same purpose.

mediocrity

reflection