An Active-Set Fischer–Burmeister Trust-Region Algorithm to Solve a Nonlinear Bilevel Optimization Problem

An Active-Set Fischer–Burmeister Trust-Region Algorithm to Solve a Nonlinear Bilevel Optimization Problem

In this paper, the Fischer–Burmeister active-set trust-region (FBACTR) algorithm is introduced to solve the nonlinear bilevel programming problems. In FBACTR algorithm, a Karush–Kuhn–Tucker (KKT) condition is used with the Fischer–Burmeister function to transform a nonlinear bilevel programming (NBL...

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Bibliographic Details
Main Authors: Bothina Elsobky, Gehan Ashry
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Fractal and Fractional
Subjects:
a bilevel optimization problem
Fischer–Burmeister function
a Karush–Kuhn–Tucker conditions
active-set strategy
trust-region strategy
global convergence
Online Access:https://www.mdpi.com/2504-3110/6/8/412

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