Geodesic
Quasistability of a Vector Trajectory Majority Optimization Problem
Matematičeskie zametki, Tome 72 (2002) no. 1, pp. 38-47

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We consider a multicriteria combinatorial problem with majority optimality principle whose particular criteria are of the form MINSUM, MINMAX, and MINMIN. We obtain a lower attainable bound for the radius of quasistability of such a problem in the case of the Chebyshev norm on the space of perturbing parameters of the vector criterion. We give sufficient conditions for the quasistability of the problem; these are also necessary in the case of linear special criteria. 
@article{MZM_2002_72_1_a3,
     author = {V. A. Emelichev and Yu. v. Stepanishina},
     title = {Quasistability of a {Vector} {Trajectory} {Majority} {Optimization} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {38--47},
     publisher = {mathdoc},
     volume = {72},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_1_a3/}
}
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V. A. Emelichev; Yu. v. Stepanishina. Quasistability of a Vector Trajectory Majority Optimization Problem. Matematičeskie zametki, Tome 72 (2002) no. 1, pp. 38-47. http://geodesic.mathdoc.fr/item/MZM_2002_72_1_a3/