Nonlinear multiobjective optimization. A generalized homotopy approach
From MaRDI portal
Publication:1592504
zbMath0966.90069MaRDI QIDQ1592504
Publication date: 24 January 2001
Published in: ISNM. International Series of Numerical Mathematics (Search for Journal in Brave)
homotopy methodmultiobjective optimizationPareto optimalityefficient pointweight vectormanifold of stationary points
Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02)
Related Items (37)
Optimal averaged Hausdorff archives for bi-objective problems: theoretical and numerical results ⋮ ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation ⋮ Barzilai and Borwein's method for multiobjective optimization problems ⋮ Constructing the Pareto front for multi-objective Markov chains handling a strong Pareto policy approach ⋮ An approach to generate comprehensive piecewise linear interpolation of Pareto outcomes to aid decision making ⋮ Approximations for Pareto and proper Pareto solutions and their KKT conditions ⋮ A variational approach to define robustness for parametric multiobjective optimization problems ⋮ Global search perspectives for multiobjective optimization ⋮ Multiobjective PDE-constrained optimization using the reduced-basis method ⋮ Computing the Set of Approximate Solutions of a Multi-objective Optimization Problem by Means of Cell Mapping Techniques ⋮ The Directed Search Method for Pareto Front Approximations with Maximum Dominated Hypervolume ⋮ A Hybrid Algorithm for the Simple Cell Mapping Method in Multi-objective Optimization ⋮ Explicit multiobjective model predictive control for nonlinear systems with symmetries ⋮ A tutorial on multiobjective optimization: fundamentals and evolutionary methods ⋮ Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling ⋮ On the hierarchical structure of Pareto critical sets ⋮ Multi-objective Optimal Design of Nonlinear Controls ⋮ Artificial Neural Networks-Based Forecasting: An Attractive Option for Just-in-Time Systems ⋮ On the structure of regularization paths for piecewise differentiable regularization terms ⋮ On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach ⋮ A multi-objective approach to the design of low thrust space trajectories using optimal control ⋮ Stochastic multiobjective optimization: Sample average approximation and applications ⋮ Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach ⋮ Structural Properties of Pareto Fronts: The Occurrence of Dents in Classical and Parametric Multiobjective Optimization Problems ⋮ An Image Set-Oriented Method for the Numerical Treatment of Bi-Level Multi-objective Optimization Problems ⋮ The Gradient Subspace Approximation and Its Application to Bi-objective Optimization Problems ⋮ Quasi-Newton methods for multiobjective optimization problems ⋮ A survey of recent developments in multiobjective optimization ⋮ On Gradient-Based Local Search to Hybridize Multi-objective Evolutionary Algorithms ⋮ Parallel Cell Mapping for Unconstrained Multi-Objective Optimization Problems ⋮ A New Predictor Corrector Variant for Unconstrained Bi-objective Optimization Problems ⋮ The directed search method for multi-objective memetic algorithms ⋮ A Hybrid Framework of Efficient Multi-Objective Optimization of Stiffened Shells with Imperfection ⋮ Tracing Locally Pareto-Optimal Points by Numerical Integration ⋮ Topology of Pareto Sets of Strongly Convex Problems ⋮ Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition ⋮ \texttt{PAINT-SICon}: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization
Uses Software
This page was built for publication: Nonlinear multiobjective optimization. A generalized homotopy approach
