Approximation of the efficient point set by perturbation of the ordering cone

DOI10.1007/BF01415907zbMath0737.90051OpenAlexW2058062420MaRDI QIDQ4713649

Siegfried Helbig

Publication date: 25 June 1992

Published in: [https://portal.mardi4nfdi.de/entity/Q3031760 ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01415907

zbMATH Keywords

vector optimizationstructural optimizationscalarizationordering coneefficient pointsperturbed problemsoptimal design of stiffened platesreference point algorithm

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Multi-objective and goal programming (90C29) Optimization problems in solid mechanics (74P99) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

Related Items (7)

Scalarizations for adaptively solving multi-objective optimization problems ⋮ Geoffrion proper efficiency in an infinite dimensional space ⋮ A revised Pascoletti-Serafini scalarization method for multiobjective optimization problems ⋮ Norm-based approximation in multicriteria programming. ⋮ On the density of proper efficient points ⋮ Stability in disjunctive linear optimization I: continuity of the feasible set ⋮ Approximation methods in multiobjective programming

Cites Work

• An interactive algorithm for nonlinear vector optimization
• On the completeness and constructiveness of parametric characterizations to vector optimization problems
• An improved definition of proper efficiency for vector maximization with respect to cones
• A cone separation theorem
• Proper efficiency with respect to cones
• The structure of admissible points with respect to cone dominance
• Scalarizing vector optimization problems
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• On Cone-Efficiency, Cone-Convexity and Cone-Compactness
• Convex Analysis
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