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Measure of quasistability of a vector integer linear programming problem with generalized principle of optimality in the Helder metric.
Authors: Vladimir A. Emelichev, Andrey A. Platonov
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Abstract
A vector integer linear programming problem is considered, principle of optimality of which is defined by a partitioning of partial criteria into groups with Pareto preference relation within each group and the lexicographic preference relation between them. Quasistability of the problem is investigated. This type of stability is a discrete analog of Hausdorff lower semicontinuity of the many-valued mapping that defines the choice function. A formula of quasistability radius is derived for the case of metric lp, 1≤p≤∞ defined in the space of parameters of the vector criterion. Similar formulae had been obtained before only for combinatorial (boolean) problems with various kinds of parametrization of the principles of optimality in the cases of l1 and l∞ metrics [1-4], and for some game theory problems [5-7].E-mails: ,
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Contents
- Fuzzy subquasigroups with respect to a s-norm.
- Ideal Theory in Commutative Semirings.
- A closed form asymptotic solution for the FitzHugh-Nagumo model.
- Non-fundamental 2-isohedral tilings of the sphere.
- Discrete Optimal Control Problem with Varying Time of States Transactions of Dynamical System and Algorithm for its solving.
- Measure of quasistability of a vector integer linear programming problem with generalized principle of optimality in the Helder metric.
- Moments of the Markovian random evolutions in two and four dimensions.
- A virtual analog of Pollaczek-Khintchin transform equation.
- Resolvability of some special algebras with topologies.
- Groups with many hypercentral subgroups.
- The Euler Tour of n-Dimensional Manifold with Positive Genus.
- Symmetric random evolution in the space ℜ6.
- On numerical algorithms for solving multidimensional analogs of the Kendall functional equation.
- Classification of Aff(2, ℜ)-orbit's dimensions for quadratic differential system.
- Professor Mihail Popa - 60th anniversary.
- Academician Radu Miron - Eighty Years of Life and Sixty Years of Efforts.
