قطبي سازي تعميم يافته و ضعيف ترين توصيف هاي قيدي در بهينه سازي چند هدفه

Generalized Polarity an‎d Weakest Constraint Qualifications in Multiobjective Optimization

رياضي كاربردي و علوم كامپيوتر

In Haeser an‎d Ramos, a generalization of the normal cone from single objective to multiobjective optimization is introduced, along with a weakest constraint qualification such that any local weak Pareto optimal point is a weak Kuhn-Tucker point. In this thesis, it extends this approach to other generalizations of the normal cone an‎d corresponding weakest constraint qualifications, such that local Pareto optimal points are weak Kuhn-Tucker points, local proper Pareto optimal points are weak an‎d proper Kuhn-Tucker points, respectively, an‎d strict local Pareto optimal points of order one are weak, proper an‎d strong Kuhn-Tucker points, respectively. The constructions are based on an appropriate generalization of polarity to pairs of matrices an‎d vectors.

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152009