[LIBRO][B] Variational analysis and applications

BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

Bilevel optimization: theory, algorithms, applications and a bibliography

S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

[LIBRO][B] Bilevel optimization: theory, algorithms and applications

S Dempe - 2018 - optimization-online.org
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

Bilevel optimal control with final-state-dependent finite-dimensional lower level

F Benita, P Mehlitz - SIAM Journal on Optimization, 2016 - SIAM
In this paper we discuss special bilevel optimal control problems where the upper level
problem is an optimal control problem of ODEs with control and terminal constraints and the …

[PDF][PDF] COVID-19 and Unemployment: A Novel Bi-Level Optimal Control Model.

IM Hezam - Computers, Materials & Continua, 2021 - cdn.techscience.cn
Since COVID-19 was declared as a pandemic in March 2020, the world's major
preoccupation has been to curb it while preserving the economy and reducing …

Weak and strong stationarity in generalized bilevel programming and bilevel optimal control

P Mehlitz, G Wachsmuth - Optimization, 2016 - Taylor & Francis
In this article, we consider a general bilevel programming problem in reflexive Banach
spaces with a convex lower level problem. In order to derive necessary optimality conditions …

Contributions to complementarity and bilevel programming in Banach spaces

P Mehlitz - 2017 - tubaf.qucosa.de
Abstract (EN) In this thesis, we derive necessary optimality conditions for bilevel
programming problems (BPPs for short) in Banach spaces. This rather abstract setting …

Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity: With Applications to Optimization with Semidefinite and …

G Wachsmuth - Set-Valued and Variational Analysis, 2017 - Springer
We consider mathematical programs with complementarity constraints in Banach spaces. In
particular, we focus on the situation that the complementarity constraint is defined by a non …

The Natural Gas Cash‐Out Problem: A Bilevel Optimal Control Approach

VV Kalashnikov, F Benita… - Mathematical Problems in …, 2015 - Wiley Online Library
The aim of this paper is threefold: first, it formulates the natural gas cash‐out problem as a
bilevel optimal control problem (BOCP); second, it provides interesting theoretical results …

Bilevel optimal control: existence results and stationarity conditions

P Mehlitz, G Wachsmuth - Bilevel Optimization: Advances and Next …, 2020 - Springer
The mathematical modeling of numerous real-world applications results in hierarchical
optimization problems with two decision makers where at least one of them has to solve an …