On the strong stability of a vector trajectorial problem of the lexicographic optimization [PDF]
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Emelichev, V. A., Berdysheva, R. A.
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Stability, pseudostability and quasistability of vector trajectorial lexicographic optimization problem [PDF]
Lower bounds of stability, pseudostability and quasistability radii of lexicographic set in vector combinatorial problem on systems of subsets of finite set with partial criteria of more general kinds have been found.
R. Berdysheva, V. Emelichev, E. Girlich
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Stability of a majority efficient solution of a vector linear trajectorial problem [PDF]
The multicriteria problem of majority choice on a system of subsets of a finite set with linear partial criteria (MINSUM) is considered. Sufficient and necessary conditions of preserving majority efficiency by an efficient trajectory under "small ...
V.A. Emelichev, Yu.V. Stepanishyna
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Strong stability and strong quasistability of vector trajectorial problem of lexicographic optimization [PDF]
Two types of stability of the lexicographic set for the multicriteria problem on a system of subsets of a finite set with the vector criterion of the most general kind are investigated.
V.A. Emelichev, R.A. Berdysheva
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Quasi-stability of a vector trajectorial problem with non-linear partial criteria [PDF]
Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained.
Vladimir A. Emelichev +1 more
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On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles [PDF]
A multicriterion linear combinatorial problem with a parametric principle of optimality is considered. This principle is defined by a partitioning of partial criteria onto Pareto preference relation groups within each group and the lexicographic ...
Sergey E. Bukhtoyarov +1 more
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Not available.
Vladimir Emelichev, Dmitriy Podkopaev
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Technological advances are required to accommodate air traffic control systems for the future growth of air traffic. Particularly, detection and resolution of conflicts between aircrafts is a problem that has attracted much attention in the last decade becoming vital to improve the safety standards in free flight unstructured environments.
A. Mateos +2 more
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On quasistability of a vector combinatorial problem with \Sigma-MINMAX and \Sigma-MINMIN partial criteria [PDF]
We consider one type of stability (quasistability) of a vector combinatorial problem of finding the Pareto set. Under quasistability we understand a discrete analogue of lower semicontinuity by Hausdorff of the many-valued mapping, which defines the ...
Vladimir A. Emelichev +2 more
doaj
Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector (2, 3, 5, 8)
A sub-Riemannian manifold is often defined as an \(n\)-dimensional smooth manifold \(M\) equipped with a distribution of \(k\)-planes \(\mathcal D ...
Sachkov Y.L., Sachkova E.F.
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