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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (60), 2009/

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

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.

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