O2 Other

Aspects of stability in multiobjective integer linear programming problem with objective partitioning




List of Authors: Nikulin Yury, Emelichev Vladimir

Conference name: Russian-Finnish Symposium on Discrete Mathematics

Publisher: Turku Centre for Computer Science

Place: Turku

Publication year: 2021

Book title *: Proceedings of the Sixth Russian-Finnish Symposium on Discrete Mathematics

Title of series: TUCS Lecture Notes

Number in series: 31

ISBN: 978-952-12-4113-0

ISSN: 1797-8831

URL: http://urn.fi/URN:ISBN:978-952-12-4113-0


Abstract

In a multiobjective problem of integer linear programming, parametrization of optimality principle is introduced by dividing a set of objectives into a family of disjoint subsets. The introduction of this principle makes it possible to connect two classical optimality sets, namely, extreme and Pareto. The admissible independent perturbations in such a problem are formed by a set of additive matrices, with arbitrary H¨older’s norms specified in the solution and criterion spaces. The lower and upper bounds for the radius of stability are obtained. The main result is complemented with several important corollaries.


Last updated on 2021-21-10 at 13:32