Parametric Optimization of Multilevel Hierarchical Systems of Mail Communication

2004 ◽  
Vol 62 (4) ◽  
pp. 383-395
Author(s):  
G. V. Verkhova ◽  
N. P. Metkin ◽  
A. S. Yastrebov
Keyword(s):  
Parametric Optimization ◽  
Hierarchical Systems

Parametric Optimization of Multilevel Hierarchical Systems of Mail Communication

2004 ◽  
Vol 62 (1-6) ◽  
pp. 383-395
Author(s):  
G. V. Verkhova ◽  
N. P. Metkin ◽  
A. S. Yastrebov
Keyword(s):  
Parametric Optimization ◽  
Hierarchical Systems

Parametric optimization by Box–Behnken design for synthesis of magnetic chitosan-Benzil/ZnO/Fe3O4 nanocomposite and textile dye removal

2021 ◽  
pp. 105166 ◽  
Author(s):  
Abdallah Reghioua ◽  
Djamel Barkat ◽  
Ali H. Jawad ◽  
Ahmed Saud Abdulhameed ◽  
Abdullah A. Al-Kahtani ◽  
...  
Keyword(s):  
Parametric Optimization ◽  
Dye Removal ◽  
Textile Dye ◽  
Box Behnken Design ◽  
Magnetic Chitosan

Cutting temperature prediction model and parametric optimization in turning aluminium matrix composite

2020 ◽  
Author(s):  
Diptikanta Das ◽  
Kumar Shantanu Prasad ◽  
Harsh Vardhan Khatri ◽  
Rajesh Kumar Mandal ◽  
Chandrika Samal ◽  
...  
Keyword(s):  
Prediction Model ◽  
Matrix Composite ◽  
Parametric Optimization ◽  
Cutting Temperature ◽  
Aluminium Matrix ◽  
Temperature Prediction ◽  
Aluminium Matrix Composite

scholarly journals R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization

2021 ◽  
Author(s):  
Patrick Mehlitz ◽  
Leonid I. Minchenko
Keyword(s):  
Linear Dependence ◽  
Constraint Qualification ◽  
Parametric Optimization ◽  
Optimization Problems ◽  
Sufficient Conditions ◽  
Bilevel Optimization ◽  
Regularity Property ◽  
Constant Rank Constraint Qualification ◽  
Existence Criterion ◽  
Set Valued Mappings

AbstractThe presence of Lipschitzian properties for solution mappings associated with nonlinear parametric optimization problems is desirable in the context of, e.g., stability analysis or bilevel optimization. An example of such a Lipschitzian property for set-valued mappings, whose graph is the solution set of a system of nonlinear inequalities and equations, is R-regularity. Based on the so-called relaxed constant positive linear dependence constraint qualification, we provide a criterion ensuring the presence of the R-regularity property. In this regard, our analysis generalizes earlier results of that type which exploited the stronger Mangasarian–Fromovitz or constant rank constraint qualification. Afterwards, we apply our findings in order to derive new sufficient conditions which guarantee the presence of R-regularity for solution mappings in parametric optimization. Finally, our results are used to derive an existence criterion for solutions in pessimistic bilevel optimization and a sufficient condition for the presence of the so-called partial calmness property in optimistic bilevel optimization.

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