OUTRE 发表于 2025-3-26 23:22:40

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战胜 发表于 2025-3-27 01:35:21

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 发表于 2025-3-27 05:42:17

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材料等 发表于 2025-3-27 12:07:35

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 发表于 2025-3-27 15:39:12

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.

rods366 发表于 2025-3-27 19:16:52

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清醒 发表于 2025-3-28 01:39:18

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破裂 发表于 2025-3-28 04:10:36

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 发表于 2025-3-28 08:12:16

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reflection 发表于 2025-3-28 13:02:16

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