On sensitivity in linear multiobjective programming

DOI10.1023/A:1026455401079zbMath1168.90615OpenAlexW1571548788MaRDI QIDQ1841576

Dinh The Luc, L. V. Thuan

Publication date: 18 February 2001

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

Full work available at URL: https://doi.org/10.1023/a:1026455401079

zbMATH Keywords

sensitivityefficient solutionslinear multiobjective programmingsmooth representation

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

Related Items (6)

On solving parametric multiobjective quadratic programs with parameters in general locations ⋮ The structure of weak Pareto solution sets in piecewise linear multiobjective optimization in normed spaces ⋮ Local smooth representation of solution sets in parametric linear fractional programming problems ⋮ Fully piecewise linear vector optimization problems ⋮ Structure of Pareto solutions of generalized polyhedral-valued vector optimization problems in Banach spaces ⋮ Pareto solutions of polyhedral-valued vector optimization problems in Banach spaces

Cites Work

• Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions
• Introduction to sensitivity and stability analysis in nonlinear programming
• Theory of multiobjective optimization
• Stability in multicriteria optimization
• Stability of nondominated solutions in multicriteria decision-making
• Generalized differential calculus for nonsmooth and set-valued mappings
• Convergence of the efficient sets
• Stability of efficient sets: continuity of mobile polarities
• Differential properties of the marginal function in mathematical programming
• An Implicit-Function Theorem for a Class of Nonsmooth Functions
• Sensitivity Analysis of Solutions to Generalized Equations
• Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization
• Differentiable selection of optimal solutions in parametric linear programming
• Stability Results for Ekeland's ε-Variational Principle and Cone Extremal Solutions
• Convex Analysis
• On Generalized Gradients in Optimization Problems with Set-Valued Constraints

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