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On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle.
Authors: Vladimir A. Emelichev, Evgeny E. Gurevsky, Andrey A. Platonov
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Abstract
A vector combinatorial linear problem with a parametric optimality principle that allows us to relate the well-known choice functions of jointly-extremal and Pareto solution is considered. A quantitative analysis of stability for the set of generalized efficient trajectories under the independent perturbations of coefficients of linear functions is performed. Formulas of stability and quasi-stability radii are obtained in the l∞-metric. Some results published earlier are derived as corollaries.E-mail: ; ;
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Contents
- Optimal control for one complex dynamic system, II
- About group topologies of the primary Abelian group.
- A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)-orbits
- On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle.
- On preradicals associated to principal functors of module categories, I.
- Dynamic Programming Algorithms for Solving Stochastic Discrete Control Problems.
- On a Generalization of Hardy-Hilbert's Integral Inequality.
- The cubic differential system with six real invariant straight lines along three directions.
- A note on a subclass of analytic functions defined by a differential operator.
