On one type of stability for multiobjective integer linear programming problem with parameterized optimality
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EMELICHEV, Vladimir, NIKULIN, Yury. On one type of stability for multiobjective integer linear programming problem with parameterized optimality. In: Computer Science Journal of Moldova, 2020, nr. 3(84), pp. 249-268. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 3(84) / 2020 / ISSN 1561-4042 /ISSNe 2587-4330

On one type of stability for multiobjective integer linear programming problem with parameterized optimality

CZU: 519.8

Pag. 249-268

Emelichev Vladimir1, Nikulin Yury2
 
1 Polessky State University,
2 University of Turku
 
Disponibil în IBN: 16 decembrie 2020


Rezumat

A multiobjective problem of integer linear programming with parametric optimality is addressed. The parameterization is 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 extreme and Pareto. The admissible perturbation in such problem is 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 strong stability are obtained with some important corollaries concerning previously known results.

Cuvinte-cheie
Multiobjective problem, Integer programming, Pareto set, a set of extreme solutions, stability radius, H¨older’s norms