Geodesic
Postoptimal analysis of vector partition problem with ordered criteria
Trudy Instituta matematiki, Tome 16 (2008) no. 2, pp. 14-22

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Necessary and sufficient conditions for five types of stability with respect to vector criterion to a multicriteria combinatorial partition problem with lexicographic principle of optimality were obtained. 
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     title = {Postoptimal analysis of vector partition problem with ordered criteria},
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E. E. Gurevsky; V. A. Emelichev. Postoptimal analysis of vector partition problem with ordered criteria. Trudy Instituta matematiki, Tome 16 (2008) no. 2, pp. 14-22. http://geodesic.mathdoc.fr/item/TIMB_2008_16_2_a1/