Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems

DOI10.1016/j.matcom.2007.02.007zbMath1159.65060OpenAlexW2083924954MaRDI QIDQ1005689

J. Martínez

Publication date: 9 March 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.02.007

zbMATH Keywords

algorithmnumerical examplesmultiobjective optimizationglobal continuationPareto frontsPareto manifolds

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29)

Related Items (12)

Gradient-based Pareto optimal history matching for noisy data of multiple types ⋮ Constructing the Pareto front for multi-objective Markov chains handling a strong Pareto policy approach ⋮ The Directed Search Method for Unconstrained Parameter Dependent Multi-objective Optimization Problems ⋮ On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach ⋮ Equispaced Pareto front construction for constrained bi-objective optimization ⋮ Multicriteria optimization with a multiobjective golden section line search ⋮ Solving the Pareto front for multiobjective Markov chains using the minimum Euclidean distance gradient-based optimization method ⋮ Integrated multiobjective optimization and a priori preferences using genetic algorithms ⋮ Parallel Cell Mapping for Unconstrained Multi-Objective Optimization Problems ⋮ A New Predictor Corrector Variant for Unconstrained Bi-objective Optimization Problems ⋮ Aircraft design optimization ⋮ Using the Manhattan distance for computing the multiobjective Markov chains problem

Uses Software

• PASVA 4
• NBI

Cites Work

• Variable projections neural network training
• Aircraft design optimization
• Mesh selection for discrete solution of boundary problems in ordinary differential equations
• Application of multiobjective optimization in aircraft control systems design
• Asynchronous distributed solution of large scale nonlinear inversion problems
• Multicriteria optimization in engineering and in the sciences
• Use of \(P_ \tau\)-nets for the approximation of the Edgeworth-Pareto set in multicriteria optimization
• Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems
• Separable nonlinear least squares: the variable projection method and its applications
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