Bilevel optimization with a multiobjective problem in the lower level

DOI10.1007/s11075-018-0576-1zbMath1415.90112OpenAlexW2885943512MaRDI QIDQ2424032

Sandra Augusta Santos, L. D. Secchin, V. A. Ramirez, Roberto Andreani

Publication date: 21 June 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-0576-1

zbMATH Keywords

numerical experimentsmultiobjective optimizationbilevel optimizationinexact restorationKKT reformulation

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29) Numerical methods based on nonlinear programming (49M37)

Related Items

Mathematical programs with multiobjective generalized Nash equilibrium problems in the constraints, On the Complexity of an Inexact Restoration Method for Constrained Optimization, Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography, Nonmonotone trust region algorithm for solving the unconstrained multiobjective optimization problems

Uses Software

• HSL
• MacMPEC
• WORHP

Cites Work

• An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization
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• Inexact-restoration method with Lagrangian tangent decrease and new merit function for nonlinear programming.