An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization

DOI10.1007/s11590-015-0928-xzbMath1353.90143OpenAlexW1118789335MaRDI QIDQ315505

Gabriel Haeser, José Mario Martínez, Luís Felipe Bueno

Publication date: 21 September 2016

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-015-0928-x

zbMATH Keywords

multi-objective optimizationnumerical experimentsnonlinear optimizationinexact restorationweighted-sum scalarization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30)

Related Items

Inexact restoration for derivative-free expensive function minimization and applications, On high-order model regularization for multiobjective optimization, A modified homotopy method for solving the principal-agent bilevel programming problem, Mathematical programs with multiobjective generalized Nash equilibrium problems in the constraints, Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints, Non-monotone inexact restoration method for nonlinear programming, Bilevel optimization with a multiobjective problem in the lower level, On the Complexity of an Inexact Restoration Method for Constrained Optimization, Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Uses Software

• minpack

Cites Work

• Unnamed Item
• A new scalarization technique to approximate Pareto fronts of problems with disconnected feasible sets
• Optimization over the efficient set: overview
• Optimization over the efficient set of multi-objective convex optimal control problems
• An inexact-restoration method for nonlinear bilevel programming problems
• A new line search inexact restoration approach for nonlinear programming
• Proper efficiency with respect to cones
• Foundations of bilevel programming
• Scalarizing vector optimization problems
• Inexact-restoration algorithm for constrained optimization
• A flexible inexact-restoration method for constrained optimization
• Proper efficiency and the theory of vector maximization
• On a Theorem of Arrow, Barankin, and Blackwell
• Vector Optimization
• A new scalarization and numerical method for constructing the weak Pareto front of multi-objective optimization problems
• Adaptive Scalarization Methods in Multiobjective Optimization
• Newton's Method for Multiobjective Optimization
• Testing Unconstrained Optimization Software
• A Globally Convergent Filter Method for Nonlinear Programming
• A Sequential Linear Constraint Programming Algorithm for NLP
• On sequential optimality conditions for smooth constrained optimization
• Optimization over the efficient set
• Inexact-restoration method with Lagrangian tangent decrease and new merit function for nonlinear programming.