Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Second-order necessary conditions for bilevel programs via KKT reformulation
View through CrossRef
The KKT reformulation is widely recognized as a prominent approach for analyzing bilevel op
timization problems, especially in the case of convex lower-level problems. This paper focuses on exploring
the KKT reformulation and deriving second-order necessary optimality conditions for local solutions to bilevel
programs. The derived optimality conditions are formulated within the framework of recently established con
straint qualifications for nonlinear optimization problems. Specifically, three types of second-order necessary
optimality conditions are presented based on Clarke, Mordukhovich and strong stationarity conditions
Technical University of Cluj Napoca, North University Center of Baia Mare
Title: Second-order necessary conditions for bilevel programs via KKT reformulation
Description:
The KKT reformulation is widely recognized as a prominent approach for analyzing bilevel op
timization problems, especially in the case of convex lower-level problems.
This paper focuses on exploring
the KKT reformulation and deriving second-order necessary optimality conditions for local solutions to bilevel
programs.
The derived optimality conditions are formulated within the framework of recently established con
straint qualifications for nonlinear optimization problems.
Specifically, three types of second-order necessary
optimality conditions are presented based on Clarke, Mordukhovich and strong stationarity conditions.
Related Results
Scholtes Relaxation Method for Pessimistic Bilevel Optimization
Scholtes Relaxation Method for Pessimistic Bilevel Optimization
Abstract
When the lower-level optimal solution set-valued mapping of a bilevel optimization problem is not single-valued, we are faced with an ill-posed problem, which gi...
Scholtes relaxation method for pessimistic bilevel optimization
Scholtes relaxation method for pessimistic bilevel optimization
Abstract
The Scholtes relaxation has appeared to be one of the simplest and most efficient ways to solve the optimistic bilevel optimization problem in its Karush-Kuhn-Tuck...
Comparison of Bilevel Volume Guarantee and Pressure-Regulated Volume Control Modes in Preterm Infants
Comparison of Bilevel Volume Guarantee and Pressure-Regulated Volume Control Modes in Preterm Infants
The present study aimed to compare the bilevel volume guarantee (VG) and pressure-regulated volume control (PRVC) modes of the GE® Carescape R860 model ventilator and test the safe...
Sufficient Optimality Conditions in Bilevel Programming
Sufficient Optimality Conditions in Bilevel Programming
This paper is concerned with the derivation of first- and second-order sufficient optimality conditions for optimistic bilevel optimization problems involving smooth functions. Fir...
Benchmark Instances for the Bilevel Optimization of the Toll Pricing Problem
Benchmark Instances for the Bilevel Optimization of the Toll Pricing Problem
The Toll Pricing Problem (TPP) seeks to optimize tolls in a network by maximizing profit while minimizing the travel cost of users. Bilevel optimization emerges as a suitable way f...
Optimality conditions for bilevel optimization with variational inequality constraints using approximations
Optimality conditions for bilevel optimization with variational inequality constraints using approximations
Abstract
We use first- and second-order approximations to establish necessary and suffcient optimality conditions for nonsmooth generalized bilevel optimization p...
[RETRACTED] Keanu Reeves CBD Gummies v1
[RETRACTED] Keanu Reeves CBD Gummies v1
[RETRACTED]Keanu Reeves CBD Gummies ==❱❱ Huge Discounts:[HURRY UP ] Absolute Keanu Reeves CBD Gummies (Available)Order Online Only!! ❰❰= https://www.facebook.com/Keanu-Reeves-CBD-G...
Extension of the value function reformulation to multiobjective bilevel optimization
Extension of the value function reformulation to multiobjective bilevel optimization
AbstractWe consider a multiobjective bilevel optimization problem with vector-valued upper- and lower-level objective functions. Such problems have attracted a lot of interest in r...