Geodesic
On stability and quasi-stability radii for a~vector combinatorial problem with a~parametric optimality principle
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2009), pp. 55-61

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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 $l_\infty$-metric. Some results published earlier are derived as corollaries. 
@article{BASM_2009_2_a3,
     author = {Vladimir A. Emelichev and Evgeny E. Gurevsky and Andrey A. Platonov},
     title = {On stability and quasi-stability radii for a~vector combinatorial problem with a~parametric optimality principle},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {55--61},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2009_2_a3/}
}
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Vladimir A. Emelichev; Evgeny E. Gurevsky; Andrey A. Platonov. On stability and quasi-stability radii for a~vector combinatorial problem with a~parametric optimality principle. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2009), pp. 55-61. http://geodesic.mathdoc.fr/item/BASM_2009_2_a3/