Perturbed cones for analysis of uncertain multi-criteria optimization problems

DOI10.1016/j.laa.2003.09.013zbMath1079.90134OpenAlexW1979158317MaRDI QIDQ1826725

Yanyan Li

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.09.013

zbMATH Keywords

Stability analysisPolyhedral conesMulti-criteria optimization

Mathematics Subject Classification ID

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

Related Items (5)

Postoptimal analysis of the multicriteria combinatorial median location problem ⋮ Stability analysis of efficient portfolios in a discrete variant of multicriteria investment problem with Savage's risk criteria ⋮ Post-optimality approach to prevent cycling in linear MPC target calculation ⋮ Multicriteria investment problem with Savage's risk criteria: theoretical aspects of stability and case study ⋮ Properties of perturbed cones ordering the set of feasible solutions of vector optimization problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Introduction to sensitivity and stability analysis in nonlinear programming
• Theory of multiobjective optimization
• Sensitivity analysis in multiobjective optimization
• Stability and unboundedness of vector optimization problems
• Set of strictly efficient points of mixed integer vector optimization problem as a measure of problem's stability
• Existence and continuity of solutions for vector optimization
• Inverse radiation therapy planning -- a multiple objective optimization approach
• Multicriteria optimization
• The issue of numerical uncertainty
• Regularization of integer vector optimization problems
• Stability of discrete optimization problems
• Vector optimization problems: Stability in the decision space and in the space of alternatives
• Linear Inequalities and Related Systems. (AM-38)
• Questions of parameter analysis and stability investigation of multicriteria problems of integer linear programming
• Stability and Regularization of Vector Problems of Integer Linear Programming
• Stability in vector-valued and set-valued optimization
• On the binary solitaire cone

This page was built for publication: Perturbed cones for analysis of uncertain multi-criteria optimization problems