Convexification of a noninferior frontier

DOI10.1007/BF02192028zbMath0842.90102WikidataQ57445568 ScholiaQ57445568MaRDI QIDQ5917755

Li, Duan

Publication date: 4 March 1996

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

convexificationnonconvex multiobjective optimizationconvexity of a noninferior frontier

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29)

Related Items (17)

Adaptive differential dynamic programming for multiobjective optimal control ⋮ Numerical Solution for Large-Scale Systems with General Multiple Linear-Quadratic Structure ⋮ Quadratic scalarization for decomposed multiobjective optimization ⋮ Proper efficiency, scalarization and transformation in multi-objective optimization: unified approaches ⋮ On convexification for a class of global optimization problems ⋮ Active Preference Elicitation by Bayesian Updating on Optimality Polyhedra ⋮ An equivalent transformation of multi-objective optimization problems ⋮ Generating properly efficient points in multi-objective programs by the nonlinear weighted sum scalarization method ⋮ Minimax reference point approach and its application for multiobjective optimisation ⋮ Convexification of a noninferior frontier ⋮ Convexification and concavification for a general class of global optimization problems ⋮ Efficiency and approachability of nonconvex bicriteria programs ⋮ Gradient projection and local region search for multiobjective optimisation ⋮ Exponential transformation in convexifying a noninferior frontier and exponential generating method ⋮ Quantitative parametric connections between methods for generating noninferior solutions in multiobjective optimization ⋮ Approximation methods for non-convex curves ⋮ Numerical treatment of multiobjective optimal control problems

Cites Work

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• On the completeness and constructiveness of parametric characterizations to vector optimization problems
• Weighting factor extensions for finite multiple objective vector minimization problems
• Compromise solutions, domination structures, and Salukvadze's solution
• Iterative parametric dynamic programming and its application in reliability optimization
• Proper efficiency and the theory of vector maximization
• The Vector Maximization Problem: Proper Efficiency and Stability
• On a Bicriterion Formulation of the Problems of Integrated System Identification and System Optimization

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