A1 Journal article – refereed
On some type of stability for multicriteria integer linear programming problrm of finding extremum solutions




List of Authors: Emelichev Vladimir, Nikulin Yury
Publisher: V.I. Vernadsky Crimean Federal University
Publication year: 2018
Issue number: 2
eISSN: 1729-3901

Abstract

We consider a wide class of linear optimization problems with integer variables. In this paper, the lower and upper attainable bounds on the T2-stability radius of the set of extremum solutions are obtained in the situation where solution space and criterion space are endowed with various Hölder’s norms. As corollaries, the T2-stability criterion is formulated, and, furthermore, the T2-stability radius formula is specified for the case where criterion space is endowed with Chebyshev’s norm.




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Last updated on 2019-20-07 at 07:33