Geodesic
On the quasistability of trajectory problems of vector optimization
Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 21-27

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We consider quasistable multicriteria problems of discrete optimization on systems of subsets (trajectory problems). We single out the class of problems for which new Pareto optima can appear, while other optima for the problems do not disappear when the coefficients of the objective functions are slightly perturbed (in the Chebyshev metric). For the case of linear criteria (MINSUM), we obtain a formula for calculating the quasistability radius of the problem. 
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     author = {V. A. Emelichev and M. K. Kravtsov and D. P. Podkopaev},
     title = {On the quasistability of trajectory problems of vector optimization},
     journal = {Matemati\v{c}eskie zametki},
     pages = {21--27},
     publisher = {mathdoc},
     volume = {63},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a2/}
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V. A. Emelichev; M. K. Kravtsov; D. P. Podkopaev. On the quasistability of trajectory problems of vector optimization. Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 21-27. http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a2/