Vector optimization problems: Stability in the decision space and in the space of alternatives

DOI10.1007/BF02366448zbMath0837.90107MaRDI QIDQ1905229

L. N. Kozeratskaya

Publication date: 8 February 1996

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilityvector optimization

Mathematics Subject Classification ID

Mixed integer programming (90C11) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

Related Items (8)

Some directions and results of research in mathematical programming and system analysis ⋮ Regularization of the vector problem with quadratic criteria of Pareto optimization ⋮ Multi-objective optimization problem: stability against perturbations of input data in vector-valued criterion ⋮ Boolean problem of sequential minimization of moduli of linear functions and stability theorems ⋮ Stability kernel of a multicriteria optimization problem under perturbations of input data of the vector criterion ⋮ Stability and unboundedness of vector optimization problems ⋮ Perturbed cones for analysis of uncertain multi-criteria optimization problems ⋮ Stability and regularization of vector optimization problems under possible criteria disturbances

Cites Work

• Regularization of integer vector optimization problems
• Stability of discrete optimization problems
• Questions of parameter analysis and stability investigation of multicriteria problems of integer linear programming
• On the stability of the linear problem of multicriterion optimization
• Convex Analysis
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