Aspects of stability of multicriteria Boolean linear programming problem with parametric optimality




Emelichev Vladimir, Nikulin Yury

PublisherInstitute of Applied Mathematics, Baku State University

2020

Proceedings of the Institute of Applied Mathematics (PIAM)

PIAM

9

2

99

108

2225-0530

http://www.iamj.az/Index.aspx



This paper addresses a multicriteria problem of Boolean linear
programming with parametric optimality. Parameterizations are introduced by dividing a
set of objectives into a family of disjoint subsets, within each Pareto optimality is used to
establish dominance between alternatives. The introduction of this principle allows us to
connect such classical optimality sets as Pareto and extreme. The parameter space of
admissible perturbations in such a problem is formed by a set of additive matrices, with
arbitrary Hölder’s norms specified in the solution and criterion spaces. The lower and
upper bounds for the radius of strong stability are obtained with some important
properties of attainability as corollaries.



Last updated on 2024-26-11 at 17:53