A homotopy method for solving bilevel programming problem

DOI10.1016/j.na.2004.03.022zbMath1067.90131OpenAlexW1971058617MaRDI QIDQ1881333

Zhenghua Lin, Qing Xu, Dao-Li Zhu

Publication date: 4 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.03.022

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Interior-point methods (90C51)

Related Items (2)

A novel approach to solve multi-objective fuzzy stochastic bilevel programming using genetic algorithm ⋮ A noninterior path following algorithm for solving a class of multiobjective programming problems

Cites Work

• Unnamed Item
• Unnamed Item
• A nonlinear bilevel model for analysis of electric utility demand-side planning issues
• Derivative evaluation and computational experience with large bilevel mathematical programs
• Double penalty method for bilevel optimization problems
• Global optimization of concave functions subject to quadratic constraints: An application in nonlinear bilevel programming
• The steepest descent direction for the nonlinear bilevel programming problem
• A multilevel analysis of agricultural credit distribution in East Java, Indonesia
• Exact and inexact penalty methods for the generalized bilevel programming problem
• A solution method for the static constrained Stackelberg problem via penalty method
• The Projective SUMT Method for Convex Programming
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• A Representation and Economic Interpretation of a Two-Level Programming Problem
• A new computational method for Stackelberg and min-max problems by use of a penalty method
• Load adaptive pricing: An emerging tool for electric utilities

This page was built for publication: A homotopy method for solving bilevel programming problem